#include <common.h>
#include <stdio.h>
#include <errno.h>
#include <fcntl.h>
#include <stdlib.h>
#include <unistd.h>
#include <string.h>
#include <stdint.h>
#include <sys/stat.h>
#include <sys/types.h>
#include <sys/time.h>
#include <sys/ioctl.h>

unsigned char sound[] =
{
128,127,128,127,128,127,128,128,127,128,127,128,128,128,128,128,127,128,128,128,128,128,127,128,
127,128,127,128,128,128,128,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,128,127,
128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,128,
128,128,128,128,128,127,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,
128,128,128,128,128,128,128,128,128,127,128,128,128,128,128,128,128,128,128,128,127,128,127,128,
128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,128,127,
128,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,128,127,128,127,128,127,128,127,
128,127,128,128,127,128,126,127,126,128,128,127,128,128,127,128,127,128,127,128,128,127,128,126,
128,127,128,128,127,127,126,127,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,
128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,
128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,
128,127,128,127,128,127,127,127,127,128,126,127,128,127,128,127,128,127,128,127,128,127,128,127,
128,127,128,127,128,126,128,126,128,127,128,127,128,128,127,128,127,128,127,128,127,127,128,127,
128,126,128,128,128,128,127,128,128,128,128,128,127,128,127,128,127,128,128,128,128,128,128,128,
128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,127,127,127,128,128,128,128,
128,127,128,126,128,127,128,127,128,127,128,128,127,128,126,128,127,128,128,127,127,127,127,127,
127,128,128,128,127,128,127,128,128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,
127,128,128,128,128,128,127,128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,
127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,128,126,127,127,128,127,
128,127,128,127,127,128,127,128,127,128,128,128,127,128,127,128,127,128,127,128,127,128,127,128,
128,127,128,128,127,128,128,127,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,
128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,128,127,128,128,
128,128,127,128,128,128,128,128,127,127,128,128,128,128,127,128,127,128,128,127,128,127,128,127,
128,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,128,128,128,
128,128,127,128,128,128,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127,
128,127,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,
126,128,127,128,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,127,128,
127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,127,128,128,127,128,127,128,127,
128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,128,127,128,127,128,127,128,128,
127,128,127,128,128,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,
127,128,127,128,127,128,127,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,128,128,
128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,
128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,127,128,128,128,128,
127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,128,
127,128,127,128,128,127,128,127,127,128,127,128,127,127,128,127,128,127,128,127,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,128,127,128,127,
128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,128,127,128,127,128,128,127,128,127,
128,128,127,128,127,128,127,127,126,127,126,128,126,126,127,126,128,128,126,127,126,126,128,126,
127,126,127,127,127,127,127,126,127,126,127,126,127,127,127,127,127,126,127,126,127,127,126,127,
127,126,127,126,127,127,127,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,126,127,
126,127,127,127,128,126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,
127,126,127,126,127,127,126,127,126,127,127,127,126,127,126,127,127,126,127,126,127,126,127,126,
126,127,126,127,126,127,126,126,127,126,127,126,127,127,126,127,126,127,126,127,127,126,127,127,
127,127,127,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,127,126,127,126,127,126,
127,127,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,126,127,126,
127,127,126,127,126,127,126,127,126,127,127,127,126,127,126,127,126,127,127,126,127,127,126,127,
126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,126,127,127,127,
127,127,126,127,127,126,127,126,126,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,
127,127,126,127,126,127,127,127,127,126,127,126,127,126,127,127,126,127,126,127,126,127,127,127,
126,127,126,127,127,126,127,127,126,127,127,126,127,126,127,127,126,127,126,127,126,128,127,126,
127,126,128,128,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,126,126,127,
126,127,126,127,126,127,127,126,127,127,126,127,126,127,126,127,127,126,127,126,127,126,126,127,
126,127,126,127,127,127,127,127,126,127,126,127,126,127,127,127,126,127,126,127,126,127,127,126,
127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,127,126,127,127,127,127,126,
127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,127,127,127,126,127,126,127,126,127,
127,126,127,127,127,126,127,127,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,
127,127,127,126,127,126,127,126,127,127,127,127,127,126,127,126,127,126,126,127,126,127,127,127,
127,127,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,127,126,127,126,127,126,127,
126,127,127,126,127,126,127,127,127,127,127,127,127,127,126,127,127,127,127,127,126,126,127,126,
127,127,126,127,126,127,127,126,127,126,127,126,127,127,127,126,127,126,126,127,126,127,126,127,
126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,127,127,127,126,127,127,127,127,126,
127,127,127,127,126,127,127,127,127,127,126,127,127,128,127,128,128,128,128,128,128,128,127,128,
126,127,128,127,128,128,128,128,128,128,127,128,127,128,128,128,127,128,127,128,127,128,127,128,
128,128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,127,128,127,128,127,128,127,
128,127,128,127,128,127,128,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,127,128,
127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,128,127,
127,127,126,127,127,126,126,127,126,127,126,127,127,127,127,126,127,126,127,126,127,126,127,127,
126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,126,127,127,126,127,126,127,126,
127,127,126,127,127,127,126,127,127,128,127,127,128,126,128,127,128,127,127,127,126,127,126,126,
127,126,128,127,127,126,128,126,127,126,127,128,126,127,126,127,126,127,126,127,127,128,126,127,
126,128,126,128,126,127,126,126,128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,
126,127,127,127,128,127,127,127,128,128,127,128,126,128,127,126,128,127,127,127,128,128,127,128,
127,128,128,128,128,127,128,127,127,127,126,127,128,127,128,126,128,128,128,128,128,128,127,127,
127,127,127,128,127,128,126,127,126,127,126,127,126,127,128,126,127,126,127,127,128,127,127,127,
126,127,127,128,127,127,126,127,127,126,127,126,127,126,127,127,127,127,126,127,126,127,127,127,
128,127,128,127,127,128,127,128,127,128,128,128,128,127,127,127,128,127,128,127,128,128,128,127,
128,127,127,126,127,127,128,128,128,127,128,127,127,127,128,127,127,126,128,126,127,128,127,128,
127,128,127,127,126,128,128,128,126,127,126,127,126,127,126,127,127,127,127,127,127,127,126,128,
128,126,127,126,127,126,128,127,128,127,126,127,127,126,127,127,127,127,126,127,126,127,126,128,
127,127,127,127,127,126,128,126,127,126,128,127,128,127,128,128,128,126,127,126,127,126,127,128,
127,127,127,126,128,126,127,126,127,127,127,127,127,127,128,126,127,127,127,126,127,126,127,126,
126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,
126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,126,127,126,127,
126,127,127,126,127,126,127,126,127,127,126,127,126,126,127,126,127,127,126,127,127,126,127,127,
126,127,126,127,127,127,126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,127,
126,127,126,127,126,127,127,127,127,127,127,127,127,126,127,126,127,127,126,127,127,126,127,126,
127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,126,127,127,127,126,127,126,127,127,
126,127,126,127,126,127,127,126,127,126,127,126,127,126,127,126,127,127,127,126,127,126,127,126,
127,126,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,127,126,127,127,127,
126,127,126,127,127,126,127,126,127,126,127,127,126,127,127,127,126,127,126,127,126,127,127,127,
127,126,127,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,127,127,127,127,127,127,
127,126,127,126,127,126,127,126,127,127,127,126,127,126,127,126,127,126,127,126,127,127,126,127,
126,127,126,127,127,126,127,126,127,126,126,127,127,126,127,126,127,126,127,127,126,127,127,126,
127,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,126,127,126,127,
126,127,127,127,126,127,126,126,127,126,126,127,126,127,126,127,127,127,126,127,126,127,126,127,
126,127,126,127,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,
126,127,127,126,127,126,127,126,127,127,126,127,126,126,127,126,126,127,126,127,126,126,127,126,
127,126,127,127,127,126,127,126,127,127,127,127,127,126,127,126,127,126,127,126,127,127,126,127,
126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,126,127,
126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,
127,126,127,127,126,127,126,127,127,126,127,126,127,126,127,127,126,127,126,127,127,127,127,126,
127,126,127,127,126,127,128,126,127,126,127,127,126,127,126,127,126,127,126,127,126,127,126,127,
126,127,127,127,127,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,126,
127,126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,127,127,127,
127,127,127,127,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,127,126,127,126,127,
127,126,127,126,127,127,127,127,127,126,127,127,127,126,127,126,127,127,126,127,126,127,126,127,
126,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,126,127,127,126,127,126,
127,127,126,127,127,126,127,126,127,126,127,127,126,127,126,127,127,127,127,127,126,127,126,127,
126,126,127,126,127,126,127,127,127,127,126,127,127,126,127,126,127,126,127,126,127,126,127,127,
126,127,126,127,127,126,127,127,126,127,127,126,127,126,127,127,126,127,127,126,127,126,127,126,
127,126,127,127,126,127,126,127,127,126,127,126,127,127,127,126,127,127,126,127,126,127,126,127,
126,127,126,127,127,127,127,127,126,127,126,127,127,127,127,126,127,127,127,127,126,127,126,127,
126,127,127,127,127,127,127,127,127,127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,
126,127,126,127,126,127,126,127,127,127,126,127,126,127,126,127,126,127,126,127,127,126,127,126,
126,127,126,127,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,127,126,127,126,127,
126,127,126,127,127,127,127,127,126,127,126,127,126,126,127,127,127,127,126,127,127,127,127,127,
126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,127,126,127,127,
126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,126,127,126,127,126,126,127,
126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,127,126,127,127,126,127,126,127,
127,126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,
126,126,127,126,127,128,126,127,126,127,126,127,127,126,127,127,127,126,127,127,126,127,127,126,
128,126,127,126,127,126,127,127,126,127,127,126,127,126,127,126,127,126,127,126,127,126,127,127,
127,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,126,127,
126,127,126,127,126,127,127,126,127,126,127,127,128,128,127,128,127,128,128,127,128,127,128,127,
128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,128,
127,128,127,128,127,128,127,128,127,127,128,127,127,127,128,128,126,127,128,126,128,126,127,127,
126,127,126,127,128,126,127,126,127,127,126,127,126,127,127,126,127,126,127,126,127,126,127,126,
127,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,127,126,127,126,127,126,
127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,127,126,127,
126,127,126,127,127,127,127,127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,127,
127,126,127,126,127,126,127,126,127,127,127,127,126,127,126,127,127,126,127,126,127,126,127,126,
127,126,127,127,127,126,127,126,127,126,127,126,127,126,127,126,128,126,127,126,127,126,127,126,
127,126,127,126,127,127,128,126,128,127,126,128,126,128,127,126,128,127,128,127,127,126,127,126,
127,127,127,126,128,127,127,126,127,128,128,127,127,127,127,127,126,128,127,127,128,127,128,126,
127,127,128,127,126,127,128,126,127,126,127,126,127,126,127,126,127,127,127,126,128,128,127,127,
127,127,127,126,127,127,126,128,126,127,128,126,127,127,127,126,127,127,128,127,128,128,128,128,
126,127,126,128,127,127,127,128,127,127,126,127,127,127,126,127,126,127,128,127,127,127,127,127,
128,126,128,127,128,128,127,128,127,128,126,128,127,128,127,128,127,128,127,128,128,128,127,128,
128,127,128,127,128,127,128,127,128,127,127,128,126,128,127,128,128,126,128,126,127,127,128,127,
128,127,128,128,127,128,127,128,127,128,127,128,127,128,128,127,128,128,127,128,126,127,126,127,
126,127,126,128,128,127,128,127,128,127,128,128,129,129,129,129,129,128,129,127,128,127,128,127,
127,127,127,127,126,127,126,127,127,127,126,128,127,127,128,128,129,129,130,130,131,130,131,130,
131,130,130,129,128,128,126,127,126,125,125,124,123,124,124,123,124,123,125,126,127,128,129,131,
131,133,134,135,135,137,136,137,136,134,134,133,130,129,125,124,122,120,117,116,115,113,112,112,
111,111,113,113,116,117,121,123,127,129,133,135,139,142,144,145,147,147,148,147,147,144,143,140,
136,133,129,127,124,120,118,115,114,112,113,112,114,115,116,119,121,123,127,129,134,137,140,143,
145,148,149,152,153,152,153,151,150,147,144,139,136,131,127,123,118,114,110,108,104,104,102,103,
104,106,108,110,112,117,120,125,129,132,137,140,143,147,149,152,152,154,154,151,150,145,142,137,
133,126,122,116,110,105,100, 97, 93, 93, 91, 90, 92, 93, 95, 99,103,108,112,119,124,129,133,139,
142,147,150,151,154,153,154,152,151,148,146,143,139,136,132,128,124,120,117,113,112,108,107,105,
105,105,107,107,109,112,114,117,118,123,125,129,132,135,139,141,144,144,145,144,143,140,139,135,
133,128,125,122,117,115,112,111,110,110,109,111,113,115,119,122,126,130,133,138,142,147,149,153,
155,157,157,157,155,152,148,145,140,137,132,128,124,119,117,114,112,112,110,111,110,111,112,113,
116,118,119,122,125,127,130,132,134,136,140,141,145,147,148,150,149,149,148,148,146,143,141,137,
133,129,126,121,118,114,112,111,109,110,110,112,114,116,120,123,128,132,134,138,140,144,147,147,
149,149,149,147,143,142,138,134,132,128,124,121,118,113,112,109,108,106,106,105,107,109,111,115,
118,122,126,129,134,136,139,141,144,145,145,147,146,146,145,142,142,140,139,137,136,133,132,130,
128,127,126,124,122,123,123,124,126,128,131,133,136,139,141,143,146,148,150,152,154,155,156,156,
155,153,151,148,144,141,136,134,129,126,122,120,116,114,111,110,110,110,112,113,115,119,122,125,
129,131,134,135,139,140,144,147,149,153,154,156,155,156,154,152,149,144,138,133,127,120,114,107,
102, 97, 92, 90, 88, 88, 88, 91, 93, 97,100,102,106,108,111,113,115,117,120,120,123,122,123,121,
120,116,113,108,104, 99, 96, 92, 91, 88, 88, 87, 88, 88, 90, 91, 94, 97, 99,104,106,112,115,120,
123,127,129,133,135,139,141,145,146,147,148,146,146,142,141,136,133,130,125,123,119,117,114,110,
109,106,103,103,101,101,103,103,105,107,110,113,116,119,123,126,130,133,135,136,136,135,135,133,
129,124,120,113,109,103, 99, 94, 91, 87, 85, 84, 83, 82, 83, 85, 86, 91, 94, 99,103,108,113,117,
122,125,130,134,136,140,142,146,147,150,150,152,151,151,150,147,146,143,142,139,135,134,131,129,
126,124,123,123,123,125,126,129,131,133,137,139,143,145,150,152,156,158,159,162,162,161,161,158,
156,152,150,146,144,140,138,135,135,133,133,132,134,134,136,136,139,139,142,144,146,148,149,151,
151,153,154,156,156,158,159,158,158,155,154,151,147,143,139,134,130,125,119,116,111,109,105,104,
102,101,102,102,104,105,109,112,114,119,121,126,129,131,135,138,139,142,143,142,143,141,140,137,
134,133,129,128,125,123,122,120,120,118,119,118,120,121,125,128,130,133,137,139,143,144,147,149,
149,150,151,150,149,146,144,140,137,133,128,125,121,118,114,113,110,109,106,106,104,104,102,103,
102,104,105,105,109,111,116,120,125,130,134,140,144,151,156,159,164,165,167,169,167,167,165,161,
159,155,151,148,144,142,138,136,133,132,131,130,130,131,133,134,136,139,141,143,145,146,148,148,
150,149,151,150,151,151,149,149,146,144,140,137,132,130,125,122,117,115,112,111,110,111,110,113,
115,117,122,125,131,135,137,141,144,145,147,147,149,149,149,148,147,144,144,141,138,133,129,124,
118,113,106,102, 97, 92, 87, 82, 80, 77, 73, 72, 70, 70, 68, 69, 69, 70, 70, 73, 73, 76, 78, 81,
 84, 86, 90, 91, 94, 95, 94, 95, 93, 93, 92, 91, 89, 88, 87, 85, 86, 86, 88, 89, 92, 93, 96, 98,
102,104,109,111,117,120,125,129,132,136,140,142,142,144,143,143,140,137,134,128,124,118,114,107,
103, 97, 94, 89, 87, 85, 85, 83, 85, 84, 86, 87, 91, 92, 96, 98,102,105,107,111,114,115,118,118,
121,121,123,123,122,122,121,121,119,117,117,114,113,111,110,109,107,107,107,107,107,109,110,114,
117,122,125,130,135,139,145,148,154,156,161,162,165,165,167,165,164,163,160,156,152,147,143,137,
134,130,128,126,126,125,127,129,131,134,136,140,143,146,150,152,157,160,162,165,167,169,170,171,
174,173,174,172,172,169,166,163,158,154,150,145,140,136,132,129,127,126,125,126,127,128,130,132,
135,138,140,145,148,150,153,154,157,158,160,160,161,160,158,157,153,150,146,141,137,131,127,121,
118,113,111,108,105,105,104,105,106,109,110,114,117,122,125,130,134,137,142,144,148,149,151,151,
152,150,150,148,148,145,144,142,140,139,137,137,137,135,136,135,136,135,136,136,137,137,140,141,
145,147,151,153,158,160,165,167,170,172,172,172,170,169,164,161,154,149,142,134,128,121,116,110,
106,102,100, 98, 98, 98, 99,100,104,106,111,115,120,124,130,133,139,142,144,147,148,151,151,153,
153,155,153,153,152,150,148,145,142,139,135,132,129,127,126,124,124,123,124,125,126,127,128,131,
133,135,135,137,138,137,138,137,137,135,135,134,132,132,130,128,126,123,118,116,111,108,104,102,
 99, 98, 97, 96, 97, 97,100,101,105,107,112,115,120,124,129,132,135,139,140,142,142,142,140,139,
134,131,124,120,112,105, 98, 90, 83, 77, 70, 67, 62, 61, 59, 56, 57, 56, 58, 58, 61, 62, 66, 69,
 72, 77, 81, 86, 90, 96,100,105,108,112,114,115,117,117,118,117,118,116,116,114,115,115,114,116,
116,119,119,121,121,123,124,126,126,128,129,131,131,133,132,133,131,130,130,128,127,125,121,118,
114,111,105,102, 97, 92, 89, 84, 81, 77, 75, 72, 72, 71, 69, 70, 70, 73, 74, 78, 80, 86, 90, 96,
100,106,111,115,120,123,128,129,132,132,134,133,133,131,129,127,124,122,119,116,115,113,113,113,
112,114,114,117,117,120,121,124,126,127,130,130,133,134,135,137,139,140,140,142,142,143,143,142,
142,140,140,137,136,135,134,134,133,135,135,138,141,144,148,151,157,160,166,169,174,177,181,184,
185,187,186,187,185,185,182,179,177,172,169,165,159,155,149,144,141,135,132,129,125,124,122,120,
121,120,122,122,125,126,130,132,136,138,143,146,150,151,155,155,158,157,159,157,157,156,152,151,
146,143,141,138,137,135,134,133,133,132,133,132,133,132,134,134,136,136,139,141,144,146,150,151,
155,157,158,158,160,158,158,155,153,150,145,142,137,133,128,126,123,121,120,120,122,122,126,127,
131,134,137,141,144,148,150,154,158,160,163,163,164,165,164,163,161,160,156,154,151,147,142,139,
135,130,127,122,119,115,113,111,109,109,108,109,110,111,115,117,122,126,130,135,138,143,146,149,
150,152,151,152,152,152,152,151,151,149,149,147,146,144,143,140,138,137,134,133,131,129,129,128,
130,131,131,134,134,137,138,139,141,141,140,140,137,136,132,129,127,122,119,114,109,103, 99, 93,
 89, 84, 81, 78, 78, 76, 77, 79, 81, 83, 88, 91, 96, 99,104,107,111,113,117,118,121,120,122,121,
121,119,118,115,110,108,102, 98, 93, 86, 81, 74, 69, 63, 60, 57, 53, 53, 51, 52, 52, 54, 55, 58,
 60, 64, 67, 71, 76, 78, 83, 87, 90, 94, 97,101,103,106,107,110,110,110,110,108,108,107,105,105,
103,104,104,104,105,106,108,110,113,115,119,121,125,128,131,133,137,138,141,142,141,141,138,137,
132,128,123,118,111,105, 97, 91, 84, 79, 73, 68, 65, 62, 61, 60, 62, 63, 66, 70, 73, 79, 85, 89,
 97,102,109,115,121,128,132,138,142,148,151,155,158,160,163,163,165,164,164,162,161,157,155,151,
149,146,142,141,138,138,136,137,136,137,137,139,140,142,143,145,147,147,149,150,149,150,149,149,
148,148,147,145,145,142,142,139,139,137,138,137,138,139,140,142,145,148,153,156,161,166,169,175,
180,185,190,193,198,199,202,203,203,201,200,196,193,188,182,177,169,163,154,147,139,133,126,121,
117,113,109,108,105,105,104,105,105,108,110,112,115,117,120,125,129,133,136,141,143,147,149,152,
152,154,153,153,151,151,148,148,146,145,145,144,146,148,148,152,153,156,157,159,162,162,165,165,
165,166,165,165,164,163,162,160,156,155,151,148,143,140,135,132,127,124,119,117,112,110,107,106,
104,103,104,103,106,108,110,114,118,122,128,134,139,146,152,157,161,166,168,170,171,170,169,167,
165,162,157,155,151,148,144,141,138,133,131,127,125,121,119,116,116,115,114,115,116,119,121,124,
126,130,131,134,135,137,137,136,136,134,133,131,128,127,124,123,120,120,118,118,117,118,119,119,
121,121,124,125,128,130,133,134,137,139,139,140,139,139,138,135,134,130,128,124,121,116,113,108,
103, 99, 93, 89, 84, 78, 73, 69, 63, 61, 57, 56, 54, 54, 53, 55, 55, 58, 59, 63, 65, 69, 72, 74,
 78, 79, 83, 84, 88, 89, 92, 93, 95, 95, 95, 95, 93, 93, 90, 90, 87, 86, 84, 83, 82, 80, 80, 79,
 80, 80, 82, 83, 86, 87, 90, 92, 93, 97, 98,102,104,106,108,109,109,110,109,109,107,105,104,101,
 99, 98, 96, 95, 93, 95, 95, 96, 96, 99,101,103,106,108,113,116,118,122,124,128,129,132,134,134,
136,135,136,135,134,132,129,128,124,121,118,113,110,105,103, 98, 94, 92, 88, 88, 85, 86, 86, 87,
 88, 92, 94,100,105,109,116,121,128,134,139,145,150,155,159,161,165,166,169,170,171,170,170,169,
169,168,166,166,165,162,162,161,158,159,157,158,157,158,158,159,159,161,161,163,163,165,165,166,
167,167,165,165,163,162,161,158,156,153,151,149,146,145,142,142,141,140,141,142,143,146,148,153,
155,160,163,168,171,175,177,181,184,186,190,190,193,193,194,193,190,188,183,180,173,168,161,155,
147,142,134,129,123,118,113,110,108,106,105,105,106,107,109,111,112,114,116,119,121,124,126,130,
133,137,139,143,144,147,148,150,150,152,153,154,154,154,154,154,155,154,155,155,155,156,156,158,
158,160,161,163,163,165,166,166,167,166,166,164,163,158,155,150,143,138,130,124,117,112,105,101,
 96, 94, 92, 90, 90, 89, 90, 89, 92, 94, 95,100,103,108,114,119,127,133,140,148,153,160,165,169,
173,174,176,175,174,171,169,165,162,157,154,149,147,143,139,136,131,128,124,120,118,114,113,111,
109,109,108,107,108,107,109,109,109,111,111,112,112,113,113,112,113,112,112,111,112,110,110,109,
109,107,107,106,107,108,108,108,111,113,115,119,121,125,127,131,133,134,136,136,136,134,134,131,
127,122,118,112,107,101, 93, 87, 79, 74, 67, 59, 54, 47, 43, 37, 34, 31, 30, 29, 30, 30, 33, 35,
 40, 43, 49, 54, 59, 64, 70, 75, 82, 88, 92, 98,101,105,108,110,111,112,112,112,112,112,112,112,
112,111,111,111,110,110,109,109,108,109,108,109,109,109,108,110,109,111,111,111,112,111,112,110,
110,107,107,104,102, 99, 97, 94, 93, 91, 88, 88, 86, 85, 85, 85, 85, 88, 90, 94, 98,102,107,112,
118,122,128,132,137,140,145,146,149,151,151,151,150,148,145,143,140,137,134,131,127,125,123,119,
118,115,114,113,111,112,112,114,116,117,121,123,128,130,135,139,144,147,152,154,157,161,162,165,
165,165,167,166,167,168,168,168,168,167,168,169,168,169,169,171,171,174,174,177,178,180,180,182,
181,182,182,183,181,182,180,180,179,177,174,171,167,164,160,157,151,147,144,139,137,133,131,129,
128,127,128,128,131,134,137,142,145,150,153,158,162,165,169,171,173,176,177,179,179,178,178,176,
175,171,168,163,160,155,149,145,139,134,128,125,121,117,115,113,112,111,112,112,115,116,120,121,
126,128,132,134,138,140,143,143,145,146,145,143,143,141,140,139,139,138,139,139,141,142,145,147,
148,152,153,155,156,156,158,158,158,159,160,159,161,159,160,158,158,155,154,151,145,141,135,130,
122,117,110,106,101, 96, 94, 91, 90, 89, 89, 89, 90, 92, 93, 97,100,102,107,110,115,119,126,130,
137,141,148,152,157,160,162,163,165,164,164,162,160,157,155,151,148,144,140,135,131,127,123,119,
114,112,109,108,106,105,106,106,107,108,108,108,109,108,108,106,106,103,101, 98, 96, 92, 90, 87,
 86, 84, 82, 80, 80, 79, 80, 81, 81, 84, 85, 89, 92, 95, 99,104,107,112,116,119,124,126,129,130,
132,131,131,130,127,124,119,115,108,103, 95, 89, 81, 75, 68, 62, 56, 51, 46, 43, 39, 38, 36, 37,
 37, 38, 41, 43, 47, 50, 56, 60, 66, 70, 77, 84, 89, 96,102,107,111,116,119,123,125,126,126,127,
126,126,126,125,125,124,124,123,122,122,121,122,121,123,123,124,124,126,127,126,128,126,127,125,
125,122,121,118,115,111,105,102, 97, 93, 88, 85, 81, 80, 78, 75, 75, 74, 76, 77, 77, 81, 83, 88,
 92, 96,103,108,115,121,129,135,143,150,156,161,168,171,175,177,179,179,178,177,175,171,169,165,
162,159,154,152,147,145,142,139,135,134,132,132,130,131,131,133,134,135,138,139,142,143,146,147,
150,151,154,156,158,158,161,161,163,162,164,165,164,166,167,168,169,169,172,172,176,177,181,182,
187,189,193,195,197,199,200,199,200,198,197,195,191,189,184,181,176,172,166,163,157,153,147,142,
138,133,128,125,120,118,116,113,114,114,114,117,119,123,126,131,135,140,144,147,152,155,157,160,
161,162,163,161,162,160,159,157,154,153,150,147,145,142,140,140,138,139,137,138,137,137,136,133,
133,131,131,130,129,130,130,130,132,132,135,135,137,136,137,136,135,133,132,130,128,126,124,122,
123,122,123,124,125,128,129,131,134,135,139,139,142,144,146,146,149,150,152,153,155,155,155,154,
153,149,148,143,140,134,131,126,120,116,112,107,105,101, 99, 97, 96, 95, 96, 95, 97, 99,100,104,
106,109,114,117,122,125,129,133,135,138,139,140,139,139,137,137,135,135,133,133,132,130,130,128,
127,125,125,122,121,118,117,114,113,111,110,107,107,105,106,104,104,103,102,100, 99, 96, 96, 93,
 92, 89, 88, 85, 84, 82, 80, 79, 77, 77, 76, 76, 76, 76, 78, 78, 81, 82, 85, 86, 90, 91, 95, 96,
100,101,104,106,107,109,109,110,110,109,107,106,102,100, 97, 93, 89, 85, 79, 76, 71, 69, 65, 63,
 60, 60, 58, 59, 60, 61, 63, 65, 68, 70, 74, 77, 82, 85, 90, 93, 97,101,104,108,109,113,115,116,
119,119,121,122,122,124,125,125,127,128,129,131,131,132,132,133,132,133,133,133,132,131,131,130,
130,128,128,126,126,123,122,119,117,113,111,106,103, 99, 96, 91, 89, 86, 83, 83, 82, 83, 84, 86,
 87, 91, 94, 99,104,107,114,118,126,132,139,144,151,156,163,167,173,176,180,182,185,186,186,187,
185,185,182,178,176,172,169,164,161,156,153,149,146,142,140,137,137,135,136,135,137,137,139,140,
143,145,146,148,148,150,151,152,152,154,154,156,157,157,159,160,162,163,165,166,168,169,170,172,
172,174,175,178,179,182,184,187,189,190,193,193,194,195,193,193,189,187,182,179,173,167,163,157,
152,146,141,135,131,126,121,118,113,111,108,107,107,105,107,106,108,108,112,113,117,119,122,127,
130,135,139,145,149,154,158,163,166,169,171,171,172,170,169,168,164,163,159,157,154,153,151,151,
149,149,148,148,146,146,144,144,142,142,140,140,138,139,138,138,136,136,135,133,132,129,127,125,
122,119,117,115,112,112,110,111,110,112,114,115,118,120,124,128,130,135,138,143,146,149,154,157,
158,161,161,163,162,160,159,156,154,150,147,143,138,135,130,127,124,119,117,113,111,107,106,102,
101, 98, 96, 95, 94, 95, 95, 98, 99,102,105,108,112,114,118,120,121,124,125,127,126,127,127,125,
126,124,124,122,121,119,119,116,116,114,114,111,112,110,110,109,110,108,110,108,110,109,108,108,
106,106,104,104,101,100, 96, 95, 90, 88, 83, 80, 76, 72, 69, 65, 63, 60, 59, 57, 57, 57, 56, 58,
 59, 62, 64, 66, 71, 73, 78, 82, 85, 89, 93, 96, 99,102,104,106,108,109,109,109,109,108,107,106,
104,102, 99, 98, 96, 95, 92, 91, 90, 87, 87, 86, 85, 86, 85, 87, 89, 90, 93, 94, 98,100,104,106,
110,112,116,118,118,121,121,120,121,121,119,120,119,117,118,116,117,117,118,118,119,119,121,120,
122,122,122,124,125,125,126,127,126,127,126,127,126,126,124,124,122,122,119,119,116,115,113,112,
111,110,108,108,107,108,109,109,112,114,117,119,124,127,133,138,142,148,152,158,163,166,170,172,
175,176,178,178,179,178,178,176,176,174,174,171,171,168,167,163,162,159,155,154,151,150,149,148,
147,149,148,150,151,154,155,156,158,159,161,160,161,159,159,159,157,158,157,156,157,157,156,157,
156,158,158,159,159,161,161,163,164,164,167,168,171,172,173,175,175,176,175,177,175,176,174,172,
171,168,166,162,157,153,148,142,135,130,123,118,112,106,103,100, 97, 97, 98, 98,101,102,107,110,
113,117,121,125,128,131,135,138,141,144,146,150,152,155,157,159,160,161,162,162,161,159,159,157,
156,154,154,152,153,151,152,150,151,149,150,148,148,145,145,144,142,140,138,137,133,132,128,127,
124,120,118,114,112,109,107,104,103,101,101,100,102,103,104,105,108,110,113,115,118,122,126,129,
134,138,144,147,153,158,161,165,167,169,169,168,167,163,161,157,152,148,142,137,131,126,122,117,
114,109,107,103,102,100,100, 98, 99, 99, 99,101,102,102,105,105,108,108,110,109,111,110,112,111,
112,110,111,109,110,108,108,107,107,106,107,107,108,108,110,111,113,114,118,118,121,122,124,125,
125,126,126,124,123,120,118,114,112,107,103, 99, 93, 89, 84, 78, 73, 67, 63, 59, 54, 52, 48, 47,
 44, 45, 44, 44, 47, 49, 51, 55, 59, 65, 70, 75, 82, 88, 94,100,105,110,115,118,122,124,127,128,
128,129,127,127,124,123,120,117,115,112,112,110,109,109,108,109,108,109,109,110,111,110,112,111,
113,112,114,114,113,114,114,113,113,111,110,108,108,106,104,103,100,100, 99, 97, 97, 96, 98, 97,
100,101,103,107,110,114,117,122,126,132,135,140,143,147,149,151,154,154,155,155,152,152,149,147,
144,142,138,137,133,132,130,127,127,125,122,122,121,121,120,122,122,125,127,128,132,134,139,142,
148,152,156,159,161,165,166,168,168,169,170,169,169,168,169,168,169,168,169,168,169,167,168,167,
167,166,166,165,166,165,166,166,167,167,168,168,167,168,168,166,166,164,162,162,158,158,154,153,
149,147,144,141,139,136,133,132,129,130,130,131,133,136,138,142,145,150,153,157,159,162,163,164,
163,164,162,161,159,158,155,154,151,150,147,145,142,140,137,133,130,126,123,119,118,115,114,112,
113,113,113,116,118,119,120,123,125,128,129,132,135,135,138,139,142,143,145,147,146,148,148,149,
148,149,148,148,148,146,147,145,146,145,145,144,145,143,144,143,142,142,142,140,141,139,140,140,
138,138,136,136,134,130,128,124,121,117,114,110,108,104,102,100,100, 98,100,101,102,106,108,112,
115,118,123,125,130,133,138,140,144,146,150,152,152,154,154,155,155,154,153,151,150,147,146,144,
140,138,133,131,127,124,121,118,114,112,109,108,105,105,103,102,102,100,101, 99,100, 99, 99, 98,
 98, 98, 97, 97, 96, 97, 97, 98, 97, 99, 99,101,100,102,103,103,105,106,106,108,109,111,112,114,
115,115,117,117,118,118,117,118,117,114,114,110,108,104,101, 96, 93, 88, 84, 79, 74, 71, 66, 63,
 59, 56, 55, 52, 52, 51, 53, 53, 57, 59, 63, 67, 71, 74, 79, 83, 88, 91, 95, 98,103,106,111,115,
118,121,124,126,129,131,132,134,135,135,135,134,134,134,132,131,129,129,127,127,126,123,124,121,
121,120,119,119,117,116,115,112,110,108,105,104,101, 99, 95, 94, 90, 89, 87, 85, 85, 84, 83, 85,
 85, 87, 91, 92, 97, 99,104,107,112,116,122,125,132,136,142,145,151,155,160,163,168,171,171,174,
173,173,171,170,167,164,159,156,151,149,144,142,138,136,133,132,129,128,126,126,124,125,124,125,
127,127,130,133,135,139,141,145,147,151,154,156,157,160,161,164,165,167,168,168,170,170,171,171,
171,173,173,173,174,173,175,176,177,177,180,180,182,181,182,180,180,178,175,172,168,165,161,158,
154,150,147,145,141,140,137,136,133,132,128,127,124,121,120,118,116,116,117,116,120,121,125,128,
133,136,139,144,147,151,153,157,158,159,161,162,163,163,162,162,160,160,157,156,153,151,147,145,
141,139,136,134,131,131,129,129,128,129,128,130,129,131,130,132,133,134,135,136,137,137,138,137,
138,137,135,136,134,132,132,130,130,128,129,129,130,130,133,134,137,138,141,141,144,145,145,146,
146,146,146,145,146,144,144,143,141,141,138,137,135,133,132,129,127,126,122,121,117,116,113,111,
109,106,107,106,105,106,107,107,110,111,114,117,120,123,127,129,133,135,138,140,143,144,145,145,
146,145,145,144,141,140,138,136,132,129,125,122,118,115,112,110,107,106,104,103,102,101,101,100,
101,100,102,101,102,101,102,101,101,100, 99, 98, 97, 96, 95, 93, 92, 92, 90, 90, 89, 88, 88, 87,
 88, 87, 88, 90, 90, 92, 94, 95, 96, 97, 96, 98, 98, 98, 99, 99, 99, 99, 99, 98, 97, 98, 96, 97,
 95, 95, 93, 91, 90, 86, 85, 82, 81, 78, 77, 75, 75, 73, 75, 74, 77, 77, 80, 82, 86, 89, 94, 96,
101,104,108,111,115,118,121,124,125,129,129,132,133,133,134,133,133,134,132,132,130,129,127,126,
124,123,120,118,117,113,113,111,109,107,106,105,104,103,103,103,101,102,101,100,100, 99, 99, 98,
 96, 97, 96, 95, 97, 97, 98,101,102,106,110,112,117,120,125,128,133,135,140,143,148,151,156,159,
164,166,170,171,173,174,175,175,172,172,169,167,164,161,158,154,152,148,144,142,139,137,135,134,
132,130,131,130,132,132,134,135,138,139,142,143,146,147,149,151,152,154,155,156,159,161,162,166,
168,170,172,173,174,175,174,174,173,172,171,170,169,169,168,169,169,170,171,172,172,173,172,172,
169,168,165,162,158,153,150,145,141,136,133,128,125,121,119,114,113,109,108,105,106,104,106,105,
109,110,114,117,121,124,129,133,138,142,146,150,153,156,159,162,164,165,167,168,168,168,167,165,
165,162,161,157,156,153,152,150,149,147,145,145,144,141,141,139,138,135,135,132,131,129,129,128,
126,127,126,127,125,126,125,126,125,126,125,125,124,125,123,124,124,123,125,124,127,127,130,131,
135,137,141,143,148,150,154,157,158,161,162,162,162,161,160,158,156,152,149,145,142,138,134,129,
126,121,119,115,111,109,106,105,103,103,104,104,105,106,107,110,111,114,116,119,120,124,124,127,
127,130,129,131,130,131,130,130,129,127,128,126,126,124,125,123,121,120,119,118,118,116,117,115,
115,114,114,113,112,112,111,108,108,106,104,102,100, 97, 95, 92, 91, 88, 86, 83, 81, 78, 74, 72,
 70, 66, 65, 62, 62, 62, 62, 63, 64, 66, 70, 71, 77, 81, 85, 90, 94, 99,103,105,109,111,113,115,
114,116,115,116,115,114,112,110,107,106,103,102, 99, 96, 96, 94, 92, 92, 90, 91, 91, 90, 92, 92,
 94, 95, 97, 98,101,102,105,106,109,110,112,113,115,115,117,116,117,117,115,116,113,112,112,110,
110,108,109,109,109,111,111,112,113,114,114,115,115,116,115,117,116,118,118,120,120,121,122,122,
123,122,123,121,121,119,119,118,116,116,114,115,115,114,117,117,120,120,124,126,128,132,134,138,
141,144,149,151,155,159,161,164,166,166,168,168,169,168,169,168,168,167,167,165,165,163,161,160,
158,157,154,152,150,147,146,143,144,142,144,144,146,149,150,154,154,157,157,159,158,159,158,158,
157,155,155,154,154,154,153,154,155,154,157,156,157,159,159,160,161,160,162,162,163,164,163,165,
165,165,165,164,162,161,158,157,153,152,148,146,142,140,137,133,131,127,125,122,120,117,116,114,
113,113,112,113,114,114,118,119,121,124,126,129,131,134,136,140,141,146,148,152,154,158,160,163,
164,167,167,169,167,168,165,165,162,160,157,155,153,150,148,144,142,142,139,139,137,137,136,136,
134,134,131,131,129,128,125,125,123,121,120,118,116,115,113,113,112,113,113,115,116,116,120,121,
124,126,129,130,134,136,138,142,144,148,149,152,154,155,155,155,156,155,155,155,152,152,149,147,
143,142,138,136,132,130,126,124,122,118,117,113,112,109,108,105,105,102,102,101,101, 99,100,100,
101,101,103,103,105,106,107,108,110,111,113,115,115,118,118,120,120,122,121,122,121,122,121,121,
120,120,120,118,119,118,117,117,115,115,112,111,108,107,102,100, 95, 92, 87, 84, 79, 75, 72, 68,
 66, 63, 62, 60, 58, 58, 57, 58, 58, 59, 61, 61, 65, 66, 70, 72, 77, 80, 83, 87, 90, 95, 98,103,
105,110,112,116,118,121,123,124,125,126,127,127,125,126,124,123,121,120,117,117,115,113,113,111,
112,110,110,108,109,106,106,104,103,102, 99, 99, 96, 97, 96, 95, 95, 95, 96, 96, 95, 97, 96, 97,
 96, 97, 96, 98, 97, 99,100,103,105,108,110,114,117,121,123,127,130,132,135,137,140,141,143,144,
146,147,146,147,146,147,145,144,143,141,138,138,136,134,132,131,130,128,128,126,127,125,126,125,
125,124,126,127,128,131,133,138,140,145,148,153,156,160,163,165,167,168,169,169,169,169,170,170,
171,171,172,173,173,174,174,174,173,173,171,170,167,166,163,162,161,158,158,156,156,156,154,155,
153,153,152,151,151,149,149,147,147,145,144,144,142,142,141,141,140,140,139,140,139,140,141,141,
143,143,146,146,149,149,151,151,153,154,154,153,154,153,154,153,153,152,152,150,150,147,146,142,
141,137,136,132,130,127,126,123,123,121,122,121,123,124,127,128,131,132,135,138,139,142,143,145,
145,148,148,150,151,152,151,153,152,154,153,154,153,154,153,153,152,152,152,149,149,146,145,142,
141,138,138,135,135,133,133,131,130,129,129,129,127,128,127,128,127,126,124,125,123,123,121,121,
121,120,121,119,121,120,121,122,123,123,125,125,128,129,130,133,135,138,140,144,145,148,149,152,
151,153,152,153,152,150,148,145,144,140,136,133,129,125,121,117,113,110,107,103,101, 98, 97, 96,
 94, 94, 94, 93, 95, 95, 97, 97, 99, 99,101,102,102,104,103,106,105,108,108,110,111,112,111,112,
112,113,113,111,112,109,109,106,106,103,102,101, 98, 98, 95, 95, 92, 92, 91, 89, 89, 87, 87, 85,
 85, 84, 82, 80, 79, 77, 76, 75, 73, 73, 71, 70, 70, 68, 69, 68, 70, 69, 71, 74, 76, 79, 82, 84,
 88, 90, 95, 97,101,105,108,112,115,119,122,126,128,132,134,137,137,139,138,138,136,135,132,128,
127,122,120,116,115,111,110,106,105,102,100, 99, 96, 95, 93, 90, 90, 88, 88, 87, 88, 89, 88, 90,
 89, 92, 92, 94, 94, 97, 97,100,102,104,105,109,111,114,119,120,125,127,130,134,136,140,141,145,
148,150,154,156,158,161,162,165,164,165,163,163,160,158,154,152,148,145,141,140,137,136,133,133,
133,131,132,130,130,129,128,128,127,127,127,129,130,133,135,140,142,148,151,157,160,165,167,172,
173,176,176,178,179,178,180,179,180,178,179,177,177,175,175,173,173,171,171,169,169,166,166,165,
164,162,162,160,157,156,152,152,148,147,143,142,140,137,136,132,132,128,128,125,125,123,121,121,
120,121,121,123,125,128,130,134,136,141,143,148,150,154,157,158,161,161,163,162,163,163,162,162,
160,160,159,157,156,153,153,150,149,147,144,143,141,139,137,135,133,131,129,129,128,128,127,128,
127,129,129,131,132,134,134,137,137,139,138,139,140,139,140,138,139,139,138,138,138,138,137,138,
138,140,141,140,142,143,142,144,143,145,144,146,145,146,146,145,145,144,143,141,140,137,136,132,
130,126,124,120,119,116,114,112,111,110,109,109,109,110,111,112,113,116,118,121,123,127,128,132,
135,136,139,140,142,141,142,141,142,140,138,138,135,134,132,130,129,125,124,121,119,117,114,113,
110,108,105,104,103,101,100,100, 99, 99, 99, 99, 99, 99, 99,100, 99,100, 98, 98, 96, 96, 94, 93,
 92, 89, 89, 87, 87, 85, 85, 84, 84, 82, 84, 83, 85, 85, 88, 88, 91, 92, 95, 95, 98, 98,100,101,
101,102,101,102,101,102,100,101, 99, 98, 98, 95, 95, 92, 91, 88, 87, 84, 82, 81, 79, 79, 79, 79,
 81, 83, 85, 89, 92, 94, 98,101,105,108,110,114,115,119,121,122,124,125,127,127,129,129,129,128,
128,126,125,122,121,119,117,115,113,112,111,109,107,106,104,104,103,101,101,100,101,102,101,103,
103,104,106,106,108,108,109,110,109,110,110,111,110,112,112,115,116,120,122,126,128,132,136,137,
141,142,145,147,148,149,152,153,156,158,159,163,164,167,168,169,170,169,167,166,163,161,157,155,
152,147,146,142,141,138,138,136,136,135,136,135,137,136,138,140,141,143,145,146,149,151,153,153,
156,156,159,160,161,162,163,164,166,166,168,169,169,169,171,170,171,169,170,169,168,168,166,166,
165,163,163,161,161,159,158,156,155,152,150,147,145,142,138,137,133,132,130,129,126,125,123,123,
121,121,120,120,119,120,120,121,121,123,123,126,128,130,132,135,137,141,143,148,150,155,157,161,
163,164,167,167,168,166,167,165,163,161,158,157,153,151,148,146,143,142,141,139,136,136,133,133,
131,130,129,127,127,125,125,124,122,123,121,122,121,122,122,123,122,123,123,124,124,126,126,128,
129,131,132,135,137,137,141,142,143,145,146,148,147,149,149,150,149,151,149,150,149,147,146,144,
143,140,138,136,133,131,129,125,124,120,119,117,115,114,112,111,109,108,108,105,106,104,105,104,
105,107,107,109,111,113,115,117,118,121,123,125,126,127,128,127,128,127,128,128,127,125,126,123,
124,122,122,121,120,118,117,115,112,112,109,108,106,105,101,100, 97, 96, 92, 91, 87, 86, 83, 82,
 80, 77, 77, 74, 75, 74, 73, 73, 74, 72, 74, 74, 74, 75, 76, 78, 79, 80, 84, 86, 90, 93, 96, 98,
102,104,108,109,112,113,114,114,115,116,115,115,115,114,115,114,113,113,111,110,111,108,108,106,
104,104,102,102,100,100,100,100, 99,100, 99,100, 99,101,101,103,102,105,106,106,109,110,111,113,
114,115,116,116,116,115,116,115,116,115,117,116,118,119,120,122,123,123,125,125,124,125,124,125,
124,125,124,125,125,125,127,127,129,130,129,131,130,130,128,128,126,126,124,124,122,123,122,124,
124,127,128,131,134,136,139,140,144,145,148,151,152,154,157,158,161,162,164,165,166,167,166,168,
167,168,166,167,166,166,166,163,164,162,160,158,157,154,153,152,149,148,146,146,145,144,144,144,
145,145,147,147,148,149,149,150,151,150,152,152,152,153,153,155,154,155,155,156,155,156,156,155,
156,154,155,153,154,153,153,153,153,152,152,151,152,151,151,151,150,149,147,147,144,143,140,139,
135,132,131,127,126,123,122,120,120,118,119,119,120,120,123,123,126,127,131,132,135,136,139,142,
143,145,147,148,151,153,154,156,157,158,159,160,159,160,158,158,157,155,152,151,148,146,143,141,
139,135,134,131,130,128,124,124,121,122,120,120,119,120,119,120,119,121,120,122,121,123,122,123,
123,124,123,124,124,125,125,127,127,127,130,129,130,132,132,134,134,137,137,140,141,142,144,144,
146,147,147,148,147,147,144,144,141,140,136,134,131,126,124,119,117,113,111,107,106,103,102,100,
 98, 98, 96, 97, 95, 96, 96, 97, 97,100,100,103,103,107,108,110,113,114,117,118,120,121,123,124,
126,125,127,126,125,125,123,121,120,117,115,112,110,108,104,103,100,100, 98, 96, 96, 93, 93, 90,
 90, 87, 86, 83, 83, 80, 80, 79, 78, 76, 77, 76, 77, 77, 78, 78, 79, 79, 80, 80, 81, 81, 84, 85,
 88, 90, 93, 96, 98,102,104,109,111,116,119,121,124,126,129,131,131,133,133,134,134,132,132,129,
128,125,124,120,118,114,113,111,109,107,105,104,102,101,100, 99, 98, 97, 96, 94, 95, 94, 95, 95,
 97, 99,101,102,105,106,109,111,112,115,116,116,118,118,119,121,121,124,125,128,130,133,134,138,
139,142,144,144,146,147,146,147,146,147,146,147,145,146,144,145,144,142,141,139,139,136,136,133,
133,131,129,128,126,126,126,124,125,124,126,127,127,131,133,135,138,142,145,150,153,158,160,165,
167,169,172,173,173,175,174,175,174,174,172,172,171,168,168,165,164,162,159,158,156,153,153,150,
150,148,147,147,145,146,144,145,144,145,143,144,143,142,142,142,140,140,138,138,137,137,135,136,
136,135,136,136,138,138,140,140,143,143,145,146,148,149,151,152,151,153,153,153,154,153,154,153,
153,152,152,151,150,148,148,145,144,141,140,136,134,132,130,128,126,125,123,123,121,122,122,124,
124,126,127,129,132,134,137,138,141,142,145,147,148,150,151,151,152,151,152,151,149,149,147,146,
145,143,142,140,140,139,137,137,135,135,133,133,131,132,130,131,129,130,129,130,128,129,127,127,
125,125,123,123,121,120,118,117,117,115,114,115,114,115,116,116,117,119,120,123,123,125,128,129,
131,133,133,136,136,139,138,141,140,142,142,141,141,138,138,136,134,131,129,126,122,120,117,112,
111,106,105,101,100, 96, 96, 93, 93, 92, 93, 93, 95, 97, 97,100,100,103,104,106,106,108,108,109,
109,109,109,109,109,109,109,109,109,109,109,108,107,105,105,104,102,102,100,100, 98, 99, 98, 99,
 98, 99, 98, 99, 99, 98, 98, 97, 97, 97, 96, 95, 94, 93, 91, 91, 89, 89, 87, 87, 86, 87, 87, 86,
 87, 87, 89, 90, 93, 94, 97, 99,103,105,109,111,115,117,120,122,125,127,129,132,132,135,136,136,
138,137,138,137,135,133,131,128,125,122,118,116,113,111,108,107,104,104,103,103,102,103,101,102,
100,101,100, 99,100,100,102,103,105,106,109,110,113,114,117,118,122,122,126,126,129,130,133,133,
136,137,139,141,142,145,145,148,148,151,152,153,154,155,156,156,156,156,155,154,152,151,149,147,
144,142,139,138,136,134,133,131,132,130,131,130,131,130,132,131,133,133,135,136,139,140,143,145,
148,150,153,155,156,160,161,164,164,167,168,168,170,169,169,170,169,169,168,169,167,167,165,165,
164,162,159,159,156,155,153,150,148,146,144,142,139,138,135,135,132,132,129,130,128,128,127,128,
127,128,128,127,129,127,129,129,129,130,130,132,132,134,136,137,140,141,144,146,149,151,152,155,
155,157,157,158,158,157,157,155,155,152,152,149,148,145,144,142,139,138,137,134,134,131,131,128,
129,127,127,126,126,124,124,123,124,123,124,123,124,124,125,125,126,127,127,129,129,132,132,134,
134,136,136,138,138,140,140,142,143,143,144,143,144,144,143,143,141,141,139,139,136,136,133,133,
130,130,127,126,125,123,122,120,120,117,117,116,114,113,112,111,110,110,110,110,110,111,112,111,
113,114,116,116,119,121,121,124,126,127,129,129,131,131,132,131,131,130,129,127,127,125,125,123,
122,121,121,119,119,118,117,116,114,113,112,108,108,105,104,102, 99, 99, 98, 97, 97, 96, 94, 95,
 93, 94, 93, 93, 93, 91, 92, 91, 92, 91, 92, 92, 92, 94, 95, 95, 97, 97,100,100,102,102,104,104,
107,107,109,109,111,110,112,112,112,112,112,110,110,110,109,108,108,107,107,107,106,106,106,105,
103,103,102,102,101,101,100,101,100,101,101,104,104,107,108,111,112,114,116,116,118,118,120,121,
121,121,123,123,125,125,127,128,129,128,129,129,129,128,128,126,125,123,123,120,120,118,118,117,
116,117,115,115,116,116,117,117,117,117,118,118,119,120,120,121,121,122,122,124,124,126,127,128,
129,132,133,136,138,138,142,142,145,145,147,147,148,150,150,151,152,153,154,154,155,155,156,157,
157,156,156,155,156,155,155,154,153,150,151,148,148,146,146,144,144,142,142,141,141,141,141,140,
139,141,141,141,142,142,144,144,146,147,149,150,152,153,155,156,158,159,159,161,162,161,162,161,
161,159,159,157,156,154,153,151,150,148,147,145,145,143,143,142,140,140,138,136,135,134,131,131,
129,127,127,125,125,124,124,124,123,124,125,124,126,125,127,127,129,128,131,130,133,133,135,136,
137,139,139,141,141,144,143,146,146,148,148,150,150,151,150,151,150,150,148,148,146,145,144,140,
140,136,135,132,131,127,126,124,122,121,118,118,116,117,115,116,114,116,115,117,117,118,120,120,
123,124,126,127,129,131,131,133,134,133,135,135,136,135,137,137,137,137,138,138,137,138,136,137,
136,137,136,134,134,133,132,131,130,128,128,125,125,122,121,119,118,117,115,115,114,114,113,113,
113,111,112,110,111,109,110,108,109,108,109,110,110,111,111,114,115,118,118,122,122,125,125,127,
127,129,129,128,129,128,128,126,125,124,123,122,120,117,116,113,111,108,106,103,102, 99, 98, 96,
 93, 93, 91, 91, 89, 89, 87, 87, 86, 87, 87, 87, 88, 89, 89, 91, 92, 93, 94, 96, 97, 99,100,100,
103,102,105,105,107,109,111,112,115,116,119,121,121,123,123,124,122,124,122,123,121,122,122,121,
122,120,121,120,121,120,119,118,116,115,113,112,110,109,107,107,106,105,105,105,106,107,107,109,
109,111,112,113,114,115,116,117,119,119,121,122,124,124,126,126,128,128,129,131,132,132,133,134,
135,135,134,135,135,134,134,133,133,132,132,133,131,132,132,132,131,133,133,133,133,132,133,133,
132,133,133,131,132,131,133,132,133,133,134,135,135,137,138,140,142,143,145,146,149,150,152,154,
155,157,158,159,160,160,162,162,162,161,162,160,161,158,159,156,156,154,154,151,151,147,147,144,
144,143,141,141,141,140,140,140,140,141,139,140,139,140,139,140,138,139,138,139,137,139,138,139,
139,140,141,141,143,142,144,143,145,144,145,143,144,144,143,143,142,142,141,141,140,140,138,139,
137,137,136,135,135,133,133,133,132,130,130,128,128,127,126,126,124,124,123,123,123,122,124,124,
125,126,127,128,129,132,132,135,136,138,140,140,141,143,143,145,144,145,144,145,145,144,144,142,
142,140,138,138,135,134,132,130,130,127,127,125,126,124,125,123,124,124,123,124,122,123,123,122,
123,122,123,123,122,123,122,123,123,122,124,124,123,124,124,126,126,127,128,128,130,130,131,131,
132,132,132,133,133,133,133,134,134,134,134,135,135,135,133,133,132,130,130,126,125,122,121,118,
116,113,112,110,108,107,105,105,104,105,103,105,105,105,105,106,106,108,108,111,111,114,115,115,
117,119,119,120,121,121,121,122,121,121,120,120,120,118,118,116,115,113,111,110,107,107,105,103,
103,101,101,100,100, 99,100, 99, 99, 98, 98, 98, 97, 97, 96, 96, 96, 95, 97, 96, 98, 99,100,101,
102,104,105,104,107,107,107,108,108,109,111,112,115,116,119,120,123,124,127,129,129,131,131,132,
133,132,131,131,130,129,128,126,127,124,124,122,120,119,117,116,115,114,112,111,109,109,107,108,
106,107,107,107,107,107,108,108,110,112,114,116,118,120,122,124,124,127,128,130,130,132,133,133,
135,135,137,137,137,139,139,141,141,142,141,143,142,143,143,142,143,141,142,141,140,139,139,137,
138,136,136,135,135,134,133,133,133,131,132,131,132,131,133,132,134,133,135,135,137,138,140,141,
143,145,147,149,149,152,153,154,156,156,157,157,158,157,158,158,158,157,158,156,157,155,156,155,
154,151,151,148,148,145,144,141,140,137,136,134,133,131,131,129,129,129,129,129,129,129,129,129,
129,130,130,130,131,131,132,131,133,132,134,133,135,134,135,135,137,136,138,139,138,140,139,141,
141,142,141,142,140,141,140,140,138,139,137,137,136,135,134,134,132,132,131,131,129,129,129,127,
127,126,126,126,126,125,126,125,126,127,126,128,127,129,129,129,130,130,131,131,132,132,133,133,
135,135,137,136,138,137,139,138,139,138,137,138,137,136,136,134,134,133,131,131,130,128,127,125,
124,124,121,122,120,121,121,121,121,120,121,120,121,119,120,120,118,119,118,119,118,119,120,120,
122,122,124,126,126,128,128,130,130,129,130,130,130,130,130,130,130,129,130,128,129,127,127,126,
126,124,124,122,122,120,120,117,118,115,116,113,114,112,112,110,110,108,108,107,107,106,107,107,
107,106,107,107,108,108,107,108,108,109,109,108,109,109,111,110,112,112,114,113,114,115,114,114,
114,112,113,111,111,109,109,108,109,109,107,109,108,109,108,110,110,110,109,109,109,107,108,107,
108,107,108,109,109,110,110,112,113,112,114,114,116,116,117,117,119,120,119,121,121,121,122,123,
124,124,125,126,127,127,128,129,130,129,130,129,130,129,128,128,127,124,125,123,122,121,119,119,
117,117,116,116,115,114,115,115,114,114,114,114,115,116,115,117,117,119,121,121,124,125,128,129,
132,134,135,137,138,140,140,142,142,144,144,143,145,144,145,144,144,143,143,142,143,142,142,141,
142,142,140,141,140,141,141,140,141,139,141,140,141,140,141,140,142,140,142,140,141,140,141,139,
140,139,139,138,139,138,139,140,139,142,142,143,145,146,148,149,150,151,153,152,154,153,155,154,
155,153,154,152,151,150,148,148,147,145,144,142,140,138,137,134,133,131,130,128,127,126,125,125,
123,124,122,123,123,123,124,125,125,127,127,128,131,130,133,133,135,134,136,137,136,137,137,138,
137,138,136,138,136,138,137,137,137,137,137,138,136,138,136,137,137,136,137,136,138,136,137,136,
136,134,135,132,133,130,130,128,126,125,123,122,120,120,118,119,118,117,117,117,118,118,119,120,
122,123,126,128,130,131,133,135,137,138,139,139,139,140,140,139,139,138,137,138,136,136,135,135,
134,132,131,129,128,127,125,123,123,121,121,122,121,120,121,121,122,122,123,122,124,123,124,123,
125,124,125,124,125,124,124,124,124,124,122,123,122,123,121,122,122,123,121,123,122,123,124,124,
126,125,127,126,127,125,127,126,125,125,124,124,124,121,122,119,119,116,115,113,110,108,106,102,
101, 98, 96, 94, 93, 93, 91, 92, 91, 93, 92, 94, 95, 95, 97, 97, 99, 99,102,104,106,107,109,111,
113,114,115,115,117,116,118,118,117,118,116,117,116,117,116,117,116,118,116,118,117,119,119,120,
120,119,120,119,120,120,119,119,118,118,117,117,116,116,115,116,115,116,114,116,114,116,114,116,
114,116,114,116,114,116,116,116,118,118,120,121,123,124,127,128,131,132,136,137,138,140,141,141,
141,141,140,138,136,135,133,132,130,130,127,128,126,127,126,128,128,129,130,130,132,133,133,135,
134,136,136,135,136,135,135,135,135,135,136,135,137,137,138,139,139,141,140,142,141,143,142,143,
143,142,142,141,141,141,142,142,143,142,144,143,145,145,146,146,146,147,147,147,147,147,148,146,
146,144,143,143,141,140,138,139,136,137,134,135,133,134,132,132,132,132,133,134,133,136,137,138,
141,141,143,143,145,145,147,145,146,144,145,143,141,141,140,138,138,136,136,136,135,136,134,136,
134,136,136,135,136,136,137,138,137,138,138,139,138,139,138,138,139,137,139,138,137,138,137,137,
136,134,135,133,133,134,133,133,134,135,135,136,136,136,137,138,139,140,140,142,141,142,142,140,
141,139,137,135,134,131,131,130,128,128,127,126,125,125,123,124,122,122,120,120,117,117,114,114,
112,111,111,111,112,113,115,116,119,121,122,124,124,126,125,126,126,124,124,121,121,117,116,112,
111,108,104,103,100,100, 98, 99, 98,100,101,102,104,106,107,109,111,113,115,117,119,119,122,122,
122,122,122,122,123,123,122,123,123,123,122,123,121,122,121,122,120,122,121,122,123,123,124,124,
125,126,125,127,126,127,127,125,126,124,124,122,122,120,119,117,115,114,111,110,108,106,103,101,
 97, 95, 92, 88, 86, 82, 81, 79, 78, 77, 77, 78, 78, 81, 82, 86, 89, 91, 96, 99,101,106,109,111,
115,116,120,121,122,124,126,126,129,129,132,132,133,134,134,136,135,137,137,136,137,136,135,134,
134,133,133,132,133,133,132,133,132,134,133,134,135,134,136,135,137,136,136,135,134,134,132,131,
129,129,127,128,128,127,129,130,130,132,133,136,136,139,140,141,142,143,144,144,145,144,145,143,
145,143,145,143,145,144,145,144,143,143,142,140,140,137,137,135,133,131,129,127,126,124,123,121,
120,119,120,119,120,119,121,120,122,122,124,125,126,126,129,130,130,133,133,135,136,138,138,140,
141,141,143,143,144,146,145,147,147,148,147,149,149,151,152,152,154,154,156,155,156,156,155,155,
153,153,151,149,147,145,143,140,138,135,134,133,130,130,128,129,128,128,127,128,126,127,126,125,
125,124,123,124,124,125,125,126,128,128,131,133,134,137,139,142,144,147,147,149,150,149,151,149,
150,150,149,150,148,148,147,147,146,145,144,144,142,143,141,141,142,141,141,140,140,140,138,139,
138,138,139,138,139,138,140,140,139,139,139,138,138,136,136,136,135,133,133,131,131,131,129,131,
131,131,133,133,135,134,136,134,135,133,134,131,131,129,129,126,127,125,125,123,123,121,120,119,
117,117,115,115,113,112,110,107,106,103,102, 99, 97, 95, 93, 91, 90, 88, 87, 85, 86, 84, 85, 85,
 87, 87, 90, 90, 93, 93, 96, 96, 99, 99,102,102,104,105,105,107,107,109,109,111,112,113,113,113,
115,114,116,115,117,118,118,119,119,120,120,120,121,120,122,121,122,120,121,119,118,117,115,115,
112,112,109,109,107,108,106,106,106,105,105,105,104,104,103,103,102,101,101, 98, 97, 97, 95, 94,
 93, 93, 92, 93, 93, 92, 94, 94, 97, 98, 98,101,103,104,105,107,107,109,108,110,110,113,113,115,
115,118,118,121,123,125,127,128,131,132,133,135,135,137,137,138,138,138,136,136,135,135,134,133,
133,132,133,133,134,134,136,136,137,139,138,140,140,139,140,139,141,140,140,141,140,141,141,143,
144,144,144,145,145,145,144,145,144,144,143,143,141,142,140,141,140,142,141,142,143,142,144,144,
146,145,147,146,148,147,146,147,146,146,146,144,145,143,143,141,141,139,139,137,136,133,133,131,
130,130,128,127,127,126,127,127,129,130,131,131,134,134,138,138,141,143,143,145,146,147,148,149,
150,149,151,150,152,152,154,155,156,157,158,160,160,162,161,163,162,161,161,159,157,157,155,155,
153,151,151,149,150,149,148,149,148,148,147,147,145,144,142,139,137,134,132,128,127,124,123,120,
120,118,119,118,119,120,121,121,124,125,126,129,130,133,135,135,138,138,140,140,142,143,143,144,
144,145,145,145,144,145,144,144,142,141,140,139,138,137,137,136,136,134,135,134,135,134,135,136,
136,136,135,135,135,133,133,131,131,131,130,130,130,131,130,131,129,130,130,129,129,129,127,127,
126,125,125,123,123,122,122,121,122,121,122,122,122,123,123,124,124,124,124,124,123,123,121,120,
118,115,114,110,108,104,101, 97, 95, 93, 90, 87, 85, 84, 82, 82, 80, 81, 80, 81, 82, 83, 84, 84,
 86, 86, 90, 90, 94, 95, 98, 99,103,104,107,108,111,112,114,115,116,116,118,119,119,120,120,120,
121,122,121,123,122,123,123,124,123,123,123,121,122,119,120,118,117,114,114,111,111,109,107,106,
104,104,101,101,100, 98, 97, 95, 94, 92, 91, 89, 89, 87, 87, 85, 86, 85, 84, 86, 86, 88, 90, 90,
 93, 94, 98, 98,102,102,106,106,109,109,111,112,112,113,113,114,113,115,114,116,116,118,119,120,
120,122,123,124,125,124,126,126,125,126,125,126,127,126,127,126,128,129,128,130,130,132,132,133,
132,134,133,134,133,135,134,136,135,138,137,140,141,141,144,144,147,147,150,151,152,151,153,152,
154,153,153,152,152,151,150,150,149,149,147,148,146,147,146,146,145,145,144,143,143,142,142,141,
141,140,140,140,139,140,140,141,140,141,142,142,142,142,142,142,142,142,141,142,140,141,139,140,
138,139,139,139,140,141,141,144,143,146,146,147,146,147,147,148,149,148,150,150,150,152,152,153,
154,155,155,157,156,157,156,157,156,154,154,152,151,150,147,147,145,146,146,147,147,147,146,148,
147,149,149,149,148,149,148,148,147,147,145,144,142,141,139,139,137,136,134,135,134,132,133,132,
132,132,131,132,131,133,132,133,133,135,135,135,137,137,139,140,141,142,143,145,145,146,146,145,
146,145,143,143,142,142,141,142,141,142,141,142,141,142,140,141,139,140,138,138,136,136,135,134,
134,134,133,133,132,133,133,133,132,133,131,131,130,129,128,127,125,124,121,120,117,116,113,112,
110,108,108,107,106,107,106,108,108,110,112,112,114,114,116,116,115,115,114,113,111,110,108,105,
103,101, 97, 96, 93, 91, 88, 87, 84, 83, 80, 79, 78, 76, 76, 75, 76, 77, 76, 78, 78, 81, 81, 84,
 87, 89, 90, 93, 95, 97, 98,100,101,103,103,106,107,107,110,111,111,113,113,113,114,115,114,116,
115,115,115,116,115,114,115,114,115,114,115,115,115,114,115,114,116,116,115,115,114,113,111,110,
108,106,104,100, 98, 95, 93, 89, 88, 85, 84, 82, 82, 82, 83, 84, 84, 87, 87, 91, 92, 96, 98,101,
103,107,110,112,115,117,119,120,124,124,128,128,131,133,134,136,136,138,139,139,137,138,137,137,
136,135,135,134,134,133,132,133,132,133,133,134,134,134,134,135,134,135,134,135,135,136,135,137,
136,138,139,139,140,141,142,144,143,145,146,146,147,148,148,150,149,151,151,151,153,153,154,154,
156,156,158,158,160,160,159,160,159,158,159,157,157,155,154,153,151,150,148,145,144,143,140,140,
138,138,136,137,135,136,134,134,133,133,132,132,132,133,133,134,134,136,137,139,139,141,142,144,
145,146,146,148,148,148,149,149,148,150,150,152,152,154,156,156,158,159,159,160,160,161,160,160,
159,159,157,157,155,155,154,152,152,150,150,148,148,147,147,147,145,146,144,144,143,142,142,141,
138,139,136,137,136,134,134,132,133,132,133,133,134,133,135,134,136,136,136,136,137,135,136,135,
136,135,137,137,136,138,137,139,138,140,139,138,139,138,138,136,137,135,136,136,136,136,136,137,
137,138,138,139,139,138,139,138,136,136,135,133,133,131,131,130,128,129,127,128,126,127,127,126,
126,125,126,124,125,124,125,124,122,122,121,118,118,117,114,113,111,110,108,108,108,107,107,107,
107,106,107,106,106,106,104,105,103,103,101,101, 98, 98, 96, 96, 94, 94, 93, 92, 90, 90, 89, 88,
 86, 86, 84, 84, 83, 83, 83, 82, 81, 82, 81, 83, 83, 84, 84, 86, 86, 88, 88, 88, 90, 90, 92, 93,
 94, 96, 97, 98, 98,101,101,104,106,107,109,110,112,112,114,113,115,114,116,115,116,115,114,115,
113,114,114,114,113,115,113,115,115,114,115,116,114,115,114,114,112,112,110,109,107,106,104,103,
101,100, 98, 97, 97, 96, 96, 95, 96, 96, 97, 97, 98, 98, 99, 99,101,101,103,103,105,106,108,110,
111,115,116,120,123,125,128,130,133,134,137,138,141,141,143,143,143,144,144,145,144,145,144,143,
144,143,143,142,142,141,141,140,140,140,139,139,139,139,138,139,139,140,141,141,143,143,145,146,
147,146,148,147,149,149,148,150,149,150,149,150,151,150,151,152,151,153,153,153,154,154,156,156,
157,158,158,157,157,156,157,156,157,155,157,155,156,154,155,154,152,152,151,149,147,146,143,142,
138,137,134,134,132,130,129,128,128,128,129,130,129,131,131,133,133,135,136,136,137,139,139,142,
144,145,146,148,149,151,153,154,156,157,158,159,159,159,159,159,158,158,156,157,155,155,153,154,
152,152,152,151,151,150,151,151,151,150,151,150,150,149,146,146,143,142,140,138,136,134,132,132,
129,130,128,129,127,128,127,128,127,128,127,129,128,130,130,132,134,136,138,139,140,142,143,144,
145,145,144,145,144,144,142,142,140,140,139,138,136,137,135,135,135,134,132,133,131,131,129,130,
128,128,126,126,126,124,124,123,124,122,123,122,121,122,121,122,122,121,121,120,121,120,120,118,
118,117,115,115,112,112,110,110,108,109,108,109,109,109,111,111,113,112,114,113,114,113,114,113,
111,111,109,108,106,105,103,102, 98, 98, 94, 93, 91, 88, 86, 83, 82, 79, 79, 77, 77, 75, 76, 75,
 77, 77, 78, 79, 80, 82, 84, 86, 88, 88, 91, 91, 94, 95, 96, 95, 97, 97, 98, 99,100,101,101,103,
103,105,105,107,107,109,110,111,112,111,113,112,114,114,114,113,115,114,116,115,116,117,116,117,
118,117,117,116,117,115,115,115,112,112,109,109,106,106,103,103,101,101,100, 99,101,101,101,102,
103,103,105,105,108,107,110,110,112,112,113,114,115,115,117,117,118,120,119,122,123,125,125,126,
127,128,129,130,132,132,134,134,136,136,139,140,141,142,143,145,146,145,147,146,148,148,147,146,
146,145,145,144,144,143,143,143,143,142,143,142,143,143,144,145,145,147,147,148,149,150,150,151,
152,151,153,152,155,154,156,155,157,157,156,157,156,157,156,156,154,155,152,153,152,151,150,149,
149,149,149,149,150,150,151,151,152,152,152,150,151,150,150,148,149,146,147,146,144,144,142,143,
141,141,139,139,138,136,136,135,134,134,133,132,132,132,133,133,135,135,138,139,142,144,146,148,
150,152,154,154,157,157,159,159,160,159,158,158,156,156,154,153,152,152,150,151,149,151,149,151,
150,151,149,150,149,147,148,145,146,144,144,143,142,141,140,140,138,137,137,135,133,133,130,129,
126,125,124,123,121,122,120,122,122,122,123,123,125,126,127,129,129,131,133,132,135,135,136,137,
139,138,140,139,141,141,140,141,139,140,139,137,137,135,134,133,130,130,126,126,123,122,120,118,
118,116,116,116,115,116,116,117,117,118,118,120,119,120,119,119,118,118,117,114,113,112,109,109,
106,107,105,105,103,104,103,105,103,105,105,105,107,107,109,109,110,111,111,113,113,113,113,113,
112,110,110,107,107,104,102, 99, 97, 93, 91, 89, 85, 84, 81, 81, 79, 77, 77, 76, 76, 77, 77, 78,
 78, 80, 81, 83, 84, 86, 88, 90, 92, 94, 96, 99,102,103,106,107,110,110,113,113,115,115,115,116,
116,116,115,114,115,115,114,114,112,114,112,114,115,114,116,116,119,118,121,120,122,122,122,122,
121,120,120,117,116,113,112,109,107,105,103,102, 99,100, 97, 98, 96, 97, 96, 98, 97, 98, 98,100,
101,103,104,107,109,112,114,117,119,122,125,126,130,132,133,134,137,136,138,138,138,139,138,139,
139,140,139,140,139,140,140,140,140,140,140,139,140,141,140,141,141,141,142,141,143,143,143,144,
144,146,146,147,147,149,149,149,150,149,150,149,150,150,150,149,150,150,149,151,150,152,152,154,
155,157,158,158,161,160,162,162,162,162,161,162,161,159,160,159,157,158,156,156,155,153,153,151,
149,150,147,147,144,144,143,141,141,140,141,139,141,141,140,141,141,142,141,142,142,141,142,140,
141,140,139,140,139,139,138,139,137,139,138,140,139,141,141,143,143,146,146,148,148,149,149,150,
150,149,150,150,150,149,150,150,150,151,151,153,153,154,154,154,152,153,152,151,149,148,145,145,
142,141,139,138,137,135,135,133,133,131,131,130,130,129,129,129,130,129,132,131,134,135,136,136,
138,138,139,138,138,138,137,135,134,132,129,128,124,123,120,120,118,117,115,115,114,115,115,117,
118,121,123,125,129,131,133,136,138,140,141,141,143,142,142,140,140,138,136,133,131,129,125,122,
118,116,112,109,106,103,100, 99, 97, 97, 96, 97, 98, 99,101,103,104,108,110,113,116,117,121,123,
124,126,125,127,126,125,123,119,117,113,110,105,102, 98, 94, 91, 87, 85, 82, 81, 80, 79, 79, 78,
 80, 81, 84, 85, 89, 91, 93, 97,100,103,105,106,108,109,110,109,107,106,102,100, 96, 92, 89, 84,
 81, 77, 75, 72, 71, 70, 69, 71, 71, 74, 77, 81, 85, 90, 95,100,105,111,116,119,125,127,132,135,
137,140,140,142,141,142,139,139,135,134,129,127,123,118,115,111,108,104,102, 98, 97, 95, 96, 94,
 96, 96, 99,101,103,106,109,112,115,116,120,120,123,123,124,122,122,120,118,118,115,114,111,110,
108,108,107,106,106,106,108,109,111,114,117,121,125,129,133,138,141,146,150,152,156,158,161,163,
162,163,161,160,157,155,150,148,143,139,133,131,126,125,121,120,118,119,118,121,122,125,129,131,
136,139,144,148,152,155,157,161,164,167,169,171,172,172,171,171,169,167,165,162,157,155,151,149,
146,142,141,139,139,138,140,141,141,144,146,150,153,154,158,159,162,163,165,165,167,166,167,165,
164,161,159,157,152,149,144,141,136,134,130,128,126,124,121,121,120,121,121,123,125,126,130,132,
136,141,144,149,152,157,161,165,167,169,169,170,168,167,163,161,156,153,148,145,140,138,133,132,
130,129,129,128,130,130,133,135,136,140,142,146,149,152,155,158,160,163,165,166,167,166,165,164,
159,157,152,149,144,138,134,129,123,120,115,113,110,107,107,107,106,108,109,112,114,119,122,126,
129,134,137,141,144,148,149,152,152,153,152,152,150,148,144,143,138,136,131,129,124,121,118,114,
112,109,107,107,106,108,109,111,114,118,121,125,130,133,138,140,145,146,149,149,150,148,147,144,
141,137,131,127,120,116,109,105, 99, 95, 91, 88, 85, 84, 83, 82, 84, 84, 88, 90, 94, 97,102,104,
110,113,118,121,123,126,128,129,128,127,124,122,118,113,109,104, 99, 94, 88, 84, 78, 75, 71, 69,
 65, 65, 65, 64, 66, 67, 69, 72, 75, 77, 82, 85, 89, 91, 96, 98,102,105,106,109,109,111,110,111,
109,108,107,104,103,100, 99, 96, 95, 92, 92, 90, 90, 90, 92, 93, 94, 98,100,104,107,111,116,120,
123,128,131,133,137,137,139,138,138,137,133,132,128,126,122,119,114,112,108,104,102, 98, 97, 94,
 94, 93, 93, 94, 95, 96, 98, 99,102,104,107,109,113,114,118,120,123,124,124,126,124,125,123,122,
121,119,118,116,114,114,112,113,113,113,115,116,120,122,126,130,133,138,141,146,150,154,156,159,
162,164,165,166,166,166,164,163,160,159,155,154,150,146,143,138,136,133,129,127,124,124,124,123,
126,126,130,131,136,138,143,147,150,154,157,160,162,165,166,168,168,169,167,168,165,165,162,161,
157,156,152,152,148,148,146,144,144,143,144,143,145,145,146,148,149,152,154,154,157,158,159,159,
161,160,161,159,157,154,150,147,142,138,132,127,123,119,116,112,111,110,111,111,114,116,120,123,
127,132,136,141,146,148,154,156,161,164,168,171,172,175,175,176,175,174,172,168,165,161,157,153,
148,145,140,138,133,132,129,129,128,127,128,128,130,130,133,134,137,138,142,142,145,146,148,148,
149,148,149,148,145,144,140,139,135,132,129,126,124,120,119,117,115,115,115,114,116,116,120,121,
125,128,132,136,139,144,147,151,154,157,159,161,161,159,158,157,152,150,144,141,134,131,125,121,
115,112,109,105,104,102,101,101,101,103,105,107,110,113,116,119,122,125,128,130,132,134,134,136,
135,135,134,131,129,125,123,118,115,110,107,103, 99, 95, 94, 91, 91, 90, 91, 90, 93, 94, 97, 98,
103,104,108,109,113,114,117,117,119,119,117,118,115,114,110,107,103,100, 94, 91, 85, 82, 77, 74,
 70, 68, 65, 64, 63, 63, 64, 66, 68, 73, 76, 81, 86, 92, 96,103,107,113,117,122,125,128,129,131,
130,131,129,126,123,119,116,112,107,104,100, 98, 95, 94, 92, 92, 92, 93, 94, 96, 98,100,105,106,
111,114,119,122,125,129,130,133,135,135,136,135,135,134,130,128,125,120,117,111,108,103,100, 96,
 94, 91, 90, 89, 89, 89, 92, 93, 96, 99,102,107,111,114,120,123,128,130,134,137,139,141,141,142,
140,140,138,138,134,133,129,128,124,122,118,117,115,113,113,111,113,113,115,116,120,123,128,132,
136,141,145,150,154,157,160,162,164,165,163,164,161,161,158,155,153,149,146,142,139,135,133,130,
129,126,126,125,127,128,129,131,134,136,141,143,148,150,155,157,161,165,167,169,169,171,170,170,
168,167,163,161,156,153,149,145,142,139,137,135,134,134,133,134,135,137,138,141,143,144,147,147,
150,151,151,153,153,155,156,155,156,156,154,155,152,151,148,145,144,140,138,135,131,130,128,127,
127,127,129,129,132,134,136,139,143,145,149,152,156,158,163,164,167,169,171,172,171,172,169,169,
165,163,158,156,151,148,142,139,134,132,128,126,123,122,121,119,119,118,120,121,122,124,125,129,
130,134,135,138,139,139,140,139,139,139,136,135,131,130,126,125,121,120,118,118,118,116,118,118,
121,121,125,126,129,131,135,136,140,142,143,146,147,150,150,150,151,150,149,149,145,144,140,138,
133,131,125,122,117,114,110,106,104,101,100, 99, 99, 98, 99, 99,102,103,104,107,109,112,115,116,
119,120,123,124,127,127,129,129,129,129,127,128,125,125,122,120,117,116,113,111,111,108,108,105,
106,103,104,102,104,103,104,104,104,105,105,106,104,105,104,102,101, 99, 97, 95, 91, 90, 86, 83,
 80, 77, 75, 73, 72, 71, 71, 72, 72, 75, 77, 80, 83, 85, 90, 93, 96,101,104,108,111,116,119,122,
123,127,127,130,129,130,130,128,127,124,122,118,116,111,109,106,102,101, 98, 97, 96, 94, 95, 93,
 95, 95, 97, 97,100,100,103,104,106,108,108,111,110,112,111,112,111,110,110,108,108,107,105,105,
103,103,102,102,101,103,104,104,106,108,110,113,116,118,123,126,131,135,138,143,147,149,153,154,
156,156,157,155,154,151,149,145,142,138,135,131,128,125,123,121,119,118,117,116,118,118,121,122,
126,129,133,137,141,145,150,154,159,162,166,169,170,173,174,175,175,174,173,171,167,165,160,158,
153,151,147,145,142,141,140,138,139,139,141,141,144,144,148,148,151,153,153,156,156,158,158,159,
158,160,159,159,157,157,155,154,151,147,145,141,138,134,132,129,127,124,125,123,123,125,126,129,
130,134,137,139,144,146,150,153,154,157,158,160,161,160,161,159,159,156,154,150,148,145,140,138,
134,132,128,128,126,125,126,125,127,127,131,132,136,137,141,144,148,150,155,157,160,162,163,165,
164,165,163,162,159,156,153,148,145,140,138,134,130,128,125,124,122,121,121,120,119,120,120,121,
122,123,124,126,127,129,131,132,133,135,135,137,137,138,137,138,136,136,134,132,130,127,125,123,
122,120,119,119,118,119,119,121,122,125,128,129,133,135,140,142,144,147,149,150,152,152,150,150,
147,146,142,140,135,132,126,122,116,112,108,104,100, 97, 95, 93, 92, 90, 91, 92, 93, 95, 97,101,
104,108,111,116,118,123,125,127,130,130,132,132,131,130,129,126,124,122,117,115,112,108,106,103,
100, 98, 97, 94, 94, 93, 92, 92, 91, 92, 91, 92, 91, 93, 92, 94, 93, 95, 95, 94, 95, 95, 95, 94,
 94, 92, 91, 89, 88, 85, 84, 81, 79, 79, 77, 78, 77, 79, 79, 82, 84, 86, 91, 95, 99,104,108,113,
118,122,127,130,134,137,140,142,142,143,142,142,139,137,133,131,126,123,117,114,108,105,102, 97,
 95, 91, 90, 87, 86, 85, 84, 85, 86, 88, 90, 92, 94, 98,100,104,107,109,112,113,115,116,116,117,
115,116,114,114,112,113,113,112,113,113,116,116,119,120,124,125,129,132,134,138,140,144,146,150,
151,155,156,157,158,158,158,157,154,153,148,146,142,137,134,129,125,121,118,115,112,111,108,109,
109,110,111,114,117,121,125,130,135,139,145,149,155,158,164,166,170,173,174,177,177,179,178,178,
177,174,173,169,167,163,159,156,151,149,146,142,141,139,139,139,139,141,143,143,147,147,151,151,
154,155,154,155,154,154,153,151,148,146,142,140,136,132,129,125,123,121,117,117,116,115,117,117,
120,122,126,129,134,137,143,148,153,156,161,164,168,170,173,174,174,176,175,173,172,168,166,162,
157,152,148,143,140,135,133,130,127,127,125,125,126,126,128,129,130,133,134,137,139,143,146,148,
151,153,155,157,157,159,158,159,156,156,153,152,148,146,142,140,135,134,130,129,127,125,125,124,
125,126,127,130,131,135,137,140,142,145,146,148,148,150,150,148,147,144,143,140,135,133,128,125,
120,117,112,110,106,105,103,103,102,103,105,105,109,111,115,117,122,125,130,134,138,140,144,147,
148,150,149,149,149,146,144,141,137,133,128,124,120,116,111,107,103,101, 97, 96, 95, 93, 94, 93,
 95, 95, 98, 99,102,102,106,107,111,112,115,116,116,118,119,118,118,117,116,114,110,108,103,101,
 97, 92, 90, 86, 84, 81, 80, 79, 78, 78, 78, 81, 82, 85, 87, 91, 94, 97,101,103,106,109,110,112,
112,113,112,112,110,109,106,104,100, 97, 94, 90, 88, 85, 84, 81, 82, 81, 81, 81, 84, 84, 88, 91,
 94, 99,102,108,112,116,122,125,131,135,138,141,143,144,144,145,142,141,137,135,131,127,122,118,
113,110,105,103,100, 98, 95, 95, 94, 92, 93, 91, 93, 93, 95, 96, 99,100,103,106,108,112,115,116,
119,120,122,124,124,124,123,123,123,122,122,121,120,121,121,122,122,123,126,127,130,131,135,137,
141,143,147,149,152,155,157,160,161,162,162,162,161,158,157,154,152,148,146,143,139,136,133,128,
127,123,121,118,118,116,117,116,118,121,123,127,131,136,140,145,150,154,157,162,164,168,169,172,
172,172,172,171,171,169,168,166,165,163,161,160,158,157,156,153,153,152,150,150,149,149,149,148,
149,148,149,149,149,148,148,146,146,145,143,142,139,138,135,134,130,129,126,124,123,120,120,118,
119,119,119,121,122,126,128,132,135,140,144,148,152,156,160,164,166,171,173,176,177,179,180,179,
179,177,175,173,168,165,160,156,150,147,141,137,132,129,126,122,121,119,119,119,119,120,121,123,
124,127,129,132,133,136,137,139,139,140,139,141,139,140,138,138,137,137,136,135,135,134,135,134,
135,135,134,135,136,137,138,140,140,142,143,145,144,146,146,146,147,146,146,144,144,142,138,137,
133,130,126,123,119,116,112,110,107,105,103,102,100, 99,100, 99,101,101,103,105,106,110,112,116,
119,121,125,128,131,134,135,138,139,139,139,139,137,137,133,132,129,125,122,118,116,111,109,104,
102,100, 97, 96, 95, 94, 94, 94, 94, 95, 96, 96, 97, 96, 98, 97, 98, 96, 97, 95, 95, 94, 91, 90,
 88, 87, 84, 84, 81, 82, 80, 81, 81, 81, 81, 83, 85, 86, 89, 90, 94, 97,100,102,106,108,112,113,
117,119,120,123,124,123,124,123,123,121,118,117,113,111,107,105,102,100, 97, 94, 93, 91, 91, 90,
 91, 91, 92, 94, 94, 97, 98,101,102,106,108,111,113,117,119,123,125,128,129,131,131,130,131,128,
127,125,123,120,118,116,113,111,109,107,107,105,105,104,106,105,107,109,110,112,114,117,119,121,
124,126,129,130,132,133,133,132,133,131,131,129,129,127,126,126,124,124,123,124,124,123,125,125,
128,128,132,133,138,140,145,148,153,156,161,163,167,169,171,172,173,172,171,168,167,164,162,158,
155,151,149,146,144,140,138,135,134,131,130,129,127,128,128,127,129,130,133,135,137,141,143,148,
150,154,156,160,161,163,164,165,166,164,165,163,163,161,159,158,155,153,151,149,147,146,144,143,
142,142,141,142,141,143,143,144,144,145,145,146,146,147,146,146,145,143,143,141,139,137,134,133,
129,128,125,124,122,122,120,121,121,123,124,127,131,133,138,141,147,150,155,159,164,166,171,173,
175,176,178,177,177,175,174,171,169,164,162,158,154,150,146,140,137,132,129,125,123,118,117,114,
114,113,111,113,112,114,115,117,118,121,122,126,127,130,132,133,134,135,134,135,134,135,133,134,
132,133,131,132,130,131,130,131,131,131,133,132,135,135,137,138,139,141,142,144,145,146,146,147,
147,145,144,141,139,136,131,129,123,120,114,111,106,103, 98, 95, 93, 90, 88, 87, 86, 87, 88, 90,
 92, 96,100,103,108,112,115,120,124,128,131,133,136,137,139,139,139,139,137,136,133,132,129,125,
123,119,114,112,107,104,100, 98, 94, 92, 89, 88, 86, 84, 85, 83, 84, 83, 85, 84, 86, 86, 88, 89,
 88, 90, 89, 90, 89, 89, 88, 89, 87, 88, 86, 87, 87, 86, 88, 89, 90, 91, 94, 95, 99,101,105,107,
111,114,118,120,124,127,129,132,134,136,136,138,139,137,137,135,132,130,126,123,117,114,108,105,
101, 96, 93, 91, 88, 86, 84, 85, 85, 84, 86, 86, 89, 90, 92, 95, 99,100,105,107,111,114,116,118,
120,121,123,123,124,124,124,123,124,123,124,123,124,123,124,124,124,125,125,126,126,128,129,130,
132,134,136,138,138,141,141,143,144,143,143,141,140,138,136,133,131,128,127,124,123,120,120,120,
120,119,120,120,122,123,126,127,130,132,136,140,143,148,151,156,160,165,168,170,174,174,176,176,
174,174,170,169,165,162,157,155,149,147,142,139,135,133,131,128,128,126,127,127,128,128,131,132,
136,138,140,143,144,147,148,150,150,152,153,152,152,151,151,150,148,147,146,143,143,141,140,139,
138,138,137,139,139,139,142,142,145,146,149,151,152,155,156,158,159,159,159,158,158,156,155,153,
151,149,145,143,139,138,134,133,129,129,127,125,125,124,123,125,125,127,128,131,134,136,140,143,
148,151,154,159,161,164,166,168,169,169,167,167,164,163,159,155,152,148,144,139,136,131,128,124,
123,120,119,117,117,116,115,117,117,119,119,122,124,125,128,130,131,133,134,133,134,134,134,132,
132,130,129,128,125,125,122,122,120,121,121,121,121,122,124,124,127,128,131,134,135,138,140,143,
145,146,146,147,145,145,142,141,137,135,131,128,123,119,115,110,107,103,100, 96, 95, 92, 90, 89,
 87, 87, 87, 88, 89, 92, 93, 97, 99,103,106,111,115,118,122,124,128,129,130,131,130,131,129,128,
124,123,120,117,113,108,106,102, 99, 96, 94, 91, 90, 88, 87, 87, 86, 87, 88, 88, 90, 90, 93, 93,
 96, 96, 98, 98, 99,100,100,100,100, 99, 97, 97, 96, 93, 93, 91, 90, 89, 89, 88, 89, 89, 92, 94,
 95, 99,103,106,111,115,118,123,126,131,133,137,138,140,142,142,143,142,141,139,137,134,130,127,
122,118,114,110,105,101, 97, 94, 90, 89, 86, 85, 85, 83, 84, 84, 86, 87, 88, 92, 94, 99,102,106,
110,113,117,120,124,126,128,130,131,131,133,132,133,132,133,134,134,133,135,134,136,135,136,137,
136,137,138,139,138,140,140,142,142,144,145,147,147,147,148,147,146,144,143,141,137,136,132,130,
127,123,122,120,118,118,116,118,118,120,122,123,127,128,133,136,141,144,149,152,157,160,164,166,
169,170,172,172,172,171,171,170,168,167,164,162,158,156,153,150,147,145,143,140,138,136,135,133,
132,132,132,132,133,133,134,134,137,137,138,138,140,139,141,141,141,140,141,140,141,140,140,138,
139,137,138,137,139,139,138,140,140,141,142,144,144,147,148,151,152,155,157,159,161,162,164,164,
164,164,162,161,159,157,154,150,147,143,140,136,133,129,128,124,123,121,120,121,120,121,121,124,
126,127,129,132,134,138,139,143,144,148,148,151,152,154,153,154,153,153,152,150,149,147,146,143,
142,139,137,135,134,131,131,128,128,127,126,126,125,126,126,126,127,128,128,129,128,130,129,128,
129,127,128,127,125,124,122,122,120,120,118,117,118,116,117,116,117,116,117,117,119,120,121,122,
125,126,129,130,133,134,137,137,139,140,139,140,138,138,135,133,131,126,124,119,117,113,108,106,
102,100, 97, 95, 92, 92, 91, 89, 90, 90, 92, 92, 94, 95, 98, 98,101,102,105,106,108,108,109,110,
110,111,110,111,110,109,109,107,106,104,104,101,101,100, 98, 98, 96, 97, 96, 97, 98, 97,100,100,
102,102,104,104,106,107,106,107,107,107,106,106,105,105,103,103,101,101,101, 98, 98, 98, 96, 96,
 95, 96, 97, 97, 97, 99,100,103,104,108,109,113,115,119,122,124,128,130,133,134,135,137,136,137,
135,134,131,130,126,123,118,116,111,109,105,103, 99, 98, 97, 94, 95, 94, 94, 93, 95, 95, 98, 99,
102,104,108,111,113,117,119,124,126,128,132,132,135,135,137,136,137,136,137,136,135,136,135,136,
136,137,138,138,140,140,142,142,144,145,147,148,148,150,150,152,151,152,151,152,150,150,149,148,
145,144,142,141,139,136,135,132,131,129,127,126,125,124,124,123,125,126,126,129,130,134,136,141,
145,149,153,156,159,163,164,167,168,170,171,171,171,170,168,168,166,162,160,156,154,151,147,145,
141,140,136,135,132,132,130,130,129,130,130,131,131,133,133,135,136,136,138,138,137,138,137,137,
137,136,135,134,133,133,132,133,132,133,133,135,135,137,139,140,143,145,148,150,153,154,157,158,
161,163,163,165,164,165,165,163,163,160,159,157,155,151,149,144,142,137,134,131,126,124,120,119,
117,115,114,113,114,113,115,115,118,119,123,125,128,130,134,136,139,141,144,145,147,147,148,147,
148,146,146,145,143,143,140,139,137,136,134,133,131,130,129,129,127,128,127,129,129,130,130,131,
131,132,132,133,131,132,130,130,127,126,124,120,118,115,113,111,108,107,104,104,102,103,102,103,
103,105,106,109,110,114,115,119,122,124,127,129,132,134,136,136,138,137,138,137,136,133,132,129,
128,123,121,118,113,110,107,102, 99, 95, 93, 90, 87, 86, 84, 84, 83, 85, 85, 87, 87, 90, 91, 93,
 93, 96, 96, 98, 99,100,100,101,101,102,103,103,103,102,103,101,102,101,101,101, 99,100,100,101,
102,102,105,105,108,110,112,113,116,117,119,121,121,123,123,124,123,123,121,120,119,116,114,112,
108,106,102,101, 98, 97, 94, 94, 93, 94, 93, 95, 97, 97,101,102,106,107,111,114,116,120,123,125,
127,130,131,133,133,135,135,134,134,131,131,129,126,123,122,119,118,115,114,114,113,113,113,113,
114,115,115,117,119,121,122,123,126,128,128,131,132,134,134,136,136,137,137,136,137,135,136,134,
135,133,132,132,131,132,131,132,132,133,133,136,137,140,141,145,148,150,154,156,158,160,162,162,
164,162,163,162,159,158,154,152,148,146,141,139,136,133,129,128,124,124,121,122,122,121,123,124,
127,129,131,135,138,140,145,148,151,155,156,160,161,163,163,165,164,164,162,162,159,158,155,154,
151,150,146,145,142,142,139,139,137,137,137,136,137,136,137,137,139,139,140,140,142,142,143,143,
144,144,143,144,142,143,142,141,140,139,137,136,134,134,133,132,132,132,133,134,136,138,139,142,
144,148,150,154,156,160,162,164,166,166,168,167,167,166,163,162,159,156,152,148,144,140,135,132,
127,124,120,118,114,113,111,111,109,110,110,111,112,114,117,118,121,123,126,128,131,132,135,135,
137,138,138,137,138,137,137,136,135,134,133,131,131,130,130,128,129,128,128,128,128,129,128,129,
130,129,131,131,131,131,131,130,130,128,128,126,126,124,122,118,117,113,112,108,107,103,102,100,
 97, 97, 95, 95, 94, 95, 95, 98, 98,102,105,108,110,115,118,122,124,128,130,133,135,135,136,136,
134,134,131,130,127,124,122,119,115,111,108,103,100, 98, 94, 92, 88, 87, 85, 85, 84, 84, 85, 86,
 86, 88, 90, 90, 93, 93, 96, 96, 98, 98,100,100,101,101,102,101,102,101,102,101,102,101,103,102,
104,104,106,106,109,110,114,115,118,120,123,125,126,129,130,131,132,133,133,133,133,131,131,129,
127,125,123,119,117,113,111,106,104,101, 97, 95, 92, 92, 90, 91, 90, 92, 92, 95, 97, 98,102,104,
107,109,112,116,118,122,124,127,129,132,133,135,136,137,137,137,136,137,136,135,134,131,131,129,
129,128,126,127,125,125,127,126,128,127,129,129,131,131,133,133,134,135,135,133,134,132,132,131,
129,129,127,127,127,126,126,126,125,126,128,127,130,131,133,136,137,141,142,146,148,151,152,156,
157,160,160,163,162,164,163,164,162,162,161,158,157,155,152,150,147,145,142,140,137,136,134,131,
131,129,129,129,129,129,130,130,131,133,134,135,137,138,140,141,143,145,146,146,148,148,149,150,
149,150,149,149,148,148,146,146,144,144,144,143,143,143,142,143,143,145,145,146,147,147,149,149,
150,151,149,150,148,148,146,146,144,141,140,138,137,134,133,131,131,128,129,127,128,126,128,128,
130,130,133,135,136,139,140,143,145,147,149,151,153,154,155,156,155,156,155,155,153,151,151,148,
147,144,142,139,137,133,132,129,126,125,122,122,119,120,118,119,117,118,117,119,119,119,120,121,
121,123,123,125,125,126,126,127,128,127,128,127,128,126,127,125,126,125,126,124,125,124,125,124,
126,125,127,128,128,129,129,131,131,132,132,132,131,131,129,129,126,125,123,119,118,114,113,110,
109,106,105,102,102,100,100, 98, 98, 98, 98, 98, 99, 99,101,103,103,107,107,111,112,114,117,118,
120,120,122,122,122,123,122,121,121,119,119,117,115,114,111,110,107,106,104,103,101,101, 99, 99,
 97, 98, 97, 98, 98, 99, 99, 99,100,100,101,101,102,103,103,104,104,105,105,106,105,106,106,107,
107,106,107,107,108,108,108,110,111,113,114,116,117,121,122,125,127,128,130,131,133,132,134,133,
134,132,132,130,130,127,127,124,121,120,117,115,112,110,106,105,101,101, 98, 98, 97, 96, 98, 97,
 99,100,103,104,107,110,112,116,118,122,124,127,129,132,133,136,137,139,140,141,142,141,143,142,
143,142,142,141,141,140,140,139,138,138,136,137,135,136,134,136,134,136,134,136,136,135,136,135,
136,136,135,135,134,134,133,133,133,132,132,131,130,130,129,129,128,129,129,130,132,132,135,137,
138,141,142,146,147,150,152,155,157,158,160,161,161,162,162,162,160,160,158,157,154,152,151,147,
145,141,139,136,133,132,129,128,127,125,125,124,125,125,126,126,128,129,129,132,132,134,134,136,
137,137,139,140,140,142,142,143,144,143,145,144,146,146,145,146,145,146,145,147,147,146,147,147,
147,148,148,149,148,149,148,148,149,148,149,147,148,146,145,144,142,141,139,138,135,134,132,129,
129,126,125,125,123,123,123,122,123,123,125,126,128,129,132,134,135,138,140,142,142,145,146,146,
148,148,149,148,148,146,146,144,142,140,137,136,132,131,129,126,125,123,122,120,120,120,118,119,
118,117,118,118,119,118,119,120,120,120,120,119,120,119,120,120,120,118,120,118,120,119,120,119,
121,121,120,122,122,123,123,122,123,123,124,125,126,126,127,127,129,129,130,129,130,129,128,128,
127,124,124,120,120,116,115,112,110,107,105,102,101, 98, 98, 95, 95, 93, 94, 93, 94, 93, 95, 96,
 96, 99, 99,102,104,104,107,107,110,111,113,113,115,115,117,116,118,116,117,115,116,114,114,113,
111,112,110,110,108,110,108,110,110,109,111,110,111,112,111,112,111,112,111,112,112,112,111,111,
110,111,110,111,110,110,109,110,109,109,109,110,109,111,110,112,113,115,116,119,120,123,124,127,
127,130,130,132,132,133,133,134,134,132,132,130,130,127,127,125,122,120,119,116,116,113,113,112,
110,110,108,109,108,110,109,111,111,114,114,117,118,121,124,125,128,130,132,135,136,138,139,140,
141,142,142,142,142,141,141,140,140,139,139,138,138,139,139,139,140,139,141,141,142,143,144,144,
145,145,144,145,144,144,143,143,141,141,139,138,137,134,134,131,131,128,128,127,126,125,126,125,
126,126,128,129,132,133,136,137,140,143,144,148,150,151,153,154,156,155,157,156,157,155,156,153,
154,151,150,147,147,143,142,139,138,135,134,131,130,128,128,126,126,125,125,126,125,127,126,128,
128,130,131,133,133,135,135,137,138,137,139,138,140,139,140,140,139,140,139,140,140,140,142,141,
142,144,144,146,146,149,148,151,151,152,153,152,154,152,153,152,150,150,148,147,145,143,141,138,
135,133,130,128,126,122,121,119,118,118,116,117,117,117,118,119,121,122,123,126,126,129,130,133,
135,136,138,138,140,140,142,141,143,142,142,141,141,139,139,137,136,134,134,132,131,129,129,128,
126,126,124,124,123,122,120,121,121,121,121,120,121,121,121,120,120,119,118,118,116,116,115,114,
113,112,111,111,111,111,112,112,112,114,114,116,116,119,119,122,122,125,126,129,128,131,131,132,
131,132,130,131,130,127,127,124,123,120,118,114,113,110,107,105,102,100, 98, 97, 95, 94, 93, 93,
 91, 93, 92, 94, 94, 97, 97,100,101,101,103,104,106,107,108,110,111,111,113,113,115,115,115,117,
116,117,117,118,117,118,118,117,118,118,117,119,118,119,118,120,119,121,120,121,120,121,121,120,
120,118,118,116,117,114,115,112,111,110,109,108,107,107,106,105,106,105,106,106,108,108,110,112,
112,115,115,119,120,122,125,126,128,129,131,133,133,135,135,135,136,134,135,134,133,131,130,128,
128,125,126,123,124,122,122,122,121,122,121,122,122,122,124,124,124,126,125,127,126,128,127,129,
129,129,131,131,131,132,132,132,134,133,135,134,136,135,137,138,138,140,141,141,143,143,145,146,
146,148,147,149,148,149,148,149,148,148,146,146,145,144,142,142,140,138,137,136,133,133,131,130,
128,128,127,126,126,125,126,126,126,126,128,128,131,131,134,135,138,139,141,143,144,146,147,148,
148,150,150,149,150,149,148,148,146,146,144,142,142,140,140,138,138,136,135,136,134,135,134,134,
134,133,134,133,134,134,133,134,132,133,132,133,132,133,132,133,133,133,134,133,134,133,135,135,
135,137,137,139,140,141,141,144,145,146,147,147,149,149,150,149,150,149,150,150,149,148,148,146,
145,143,143,140,139,136,135,133,131,129,127,125,123,122,121,120,119,118,117,118,116,118,117,119,
119,121,122,123,124,126,127,129,130,131,134,133,135,134,136,135,135,135,135,133,133,132,132,132,
131,131,131,130,130,129,129,128,128,127,126,126,124,125,124,123,123,121,121,120,119,119,117,117,
115,115,113,113,112,112,111,110,111,109,110,111,110,112,111,113,113,115,114,117,117,120,120,122,
123,124,125,125,127,126,127,127,126,126,124,124,122,122,121,118,118,115,115,113,112,109,108,105,
105,103,101,101, 98, 99, 97, 99, 97, 99, 98,101,101,102,104,104,106,107,108,110,110,112,112,114,
114,116,116,118,118,119,119,121,120,122,121,123,123,124,123,125,124,126,125,126,125,127,126,126,
126,125,125,125,124,124,123,122,122,120,120,118,116,115,113,112,110,109,109,106,107,105,106,106,
105,107,106,108,108,111,112,114,114,118,118,121,123,124,127,128,130,132,133,135,137,136,139,138,
140,139,140,139,140,138,138,136,136,134,134,132,131,130,129,128,127,126,126,125,125,124,125,124,
125,125,125,127,126,128,129,129,130,130,131,131,133,132,134,133,134,135,135,137,136,137,139,139,
140,140,142,143,143,144,145,146,146,148,147,149,150,150,150,149,150,148,149,146,147,145,144,141,
140,138,136,135,132,131,129,128,127,125,126,124,125,124,124,125,124,126,125,127,128,129,130,132,
132,134,136,137,138,140,141,142,143,144,145,145,146,146,147,146,145,146,144,144,143,142,142,140,
140,139,138,138,136,137,135,136,134,135,135,134,135,133,135,133,134,133,134,133,134,132,133,131,
132,130,131,130,130,130,129,129,129,128,130,130,131,131,133,134,135,137,137,138,140,140,143,142,
145,145,146,145,147,146,146,144,144,142,141,139,136,134,132,130,127,126,123,123,120,121,118,119,
116,117,115,116,114,115,114,116,115,117,116,118,119,121,122,123,125,126,126,128,129,129,131,130,
131,131,131,131,130,131,130,131,129,130,128,128,126,127,126,125,125,125,124,124,123,124,122,123,
122,122,122,121,120,119,119,116,116,114,114,112,112,111,109,109,107,106,106,105,105,106,104,106,
106,106,108,108,110,111,114,116,118,118,121,121,124,123,125,125,125,125,124,124,124,122,122,121,
119,119,116,116,114,114,112,111,109,109,107,108,106,107,107,106,107,107,108,108,109,109,111,111,
113,114,114,116,116,117,117,119,119,118,120,119,120,119,120,120,121,121,122,122,123,123,124,124,
125,126,125,127,126,128,127,128,128,128,127,128,128,126,127,124,125,124,123,120,120,117,117,114,
113,111,111,109,109,107,108,108,107,109,109,110,112,113,116,118,120,123,125,128,130,133,135,136,
139,140,142,142,143,144,144,144,142,143,140,141,138,138,136,136,135,134,133,132,131,131,130,129,
130,129,130,129,131,131,132,132,133,133,134,134,133,134,133,134,133,132,133,131,132,131,131,130,
131,131,132,132,133,133,134,135,135,137,137,139,139,142,142,144,145,146,146,147,148,148,149,149,
148,148,147,146,144,144,141,139,138,135,133,130,129,126,125,123,121,119,119,119,117,118,117,119,
120,120,123,123,126,127,130,132,133,135,137,138,140,140,142,142,143,142,143,143,143,142,142,141,
141,141,139,140,138,139,138,139,138,139,139,138,139,139,138,139,139,139,139,139,138,137,138,136,
136,134,134,133,132,129,129,127,126,125,124,124,123,123,123,123,124,124,126,126,128,128,130,131,
133,133,136,136,139,140,142,141,144,143,145,144,145,144,144,143,141,140,138,135,134,131,130,128,
124,124,121,120,118,118,117,115,115,114,115,116,115,117,117,118,120,119,122,122,124,124,125,126,
127,127,126,127,126,127,126,126,126,126,126,125,126,126,126,127,126,127,127,127,128,127,129,128,
130,129,130,129,130,129,130,128,128,126,125,122,122,119,118,116,113,112,110,109,108,106,105,104,
104,102,103,102,102,103,102,104,103,106,107,108,110,112,114,116,117,119,120,122,124,124,126,125,
127,126,127,125,126,124,125,123,123,122,120,120,118,119,118,116,116,116,114,115,114,115,114,115,
115,115,115,116,115,116,116,116,117,116,116,115,116,115,115,115,115,114,115,114,115,115,116,115,
117,118,118,120,120,122,124,124,126,127,129,129,131,130,132,131,131,132,132,131,130,129,127,126,
124,124,121,121,120,117,117,115,115,114,114,114,114,114,114,115,115,117,117,119,120,121,122,124,
125,128,129,130,132,132,135,134,136,137,136,137,138,137,138,138,137,138,137,138,137,138,137,138,
137,138,137,138,138,137,138,136,137,136,137,137,136,137,137,135,136,135,134,134,133,132,131,131,
128,128,126,127,125,125,124,125,124,124,125,125,127,128,128,130,131,134,135,136,139,140,142,143,
145,145,146,146,147,145,146,145,143,142,140,139,137,135,135,132,132,129,129,128,127,126,125,124,
124,124,123,124,123,125,125,126,126,128,128,130,130,130,132,132,134,133,135,136,136,137,137,138,
138,139,138,139,138,140,139,140,140,141,141,141,141,142,142,142,142,142,142,142,141,141,140,140,
139,139,138,138,138,137,135,135,133,131,130,128,127,125,124,122,121,120,120,118,119,118,119,120,
121,122,123,124,125,127,129,130,132,133,134,136,136,138,138,139,139,140,140,138,139,137,137,135,
135,134,132,132,130,130,129,127,127,126,124,124,122,123,122,121,121,120,121,121,120,121,120,121,
121,122,121,122,122,122,122,121,122,121,122,121,123,123,122,124,123,125,125,126,125,127,126,128,
127,128,128,129,129,129,129,130,129,130,130,130,129,129,128,127,125,125,123,122,120,118,117,114,
113,111,110,108,108,106,106,105,105,105,104,105,105,107,107,109,109,112,112,115,116,118,119,121,
122,124,124,126,126,128,127,129,128,129,129,128,128,127,127,125,126,125,123,123,122,121,121,120,
120,119,120,118,119,118,119,118,118,117,118,116,117,116,115,115,114,115,113,114,113,113,112,113,
112,113,112,113,113,113,114,114,116,116,118,119,119,122,122,124,126,127,128,130,131,132,133,134,
134,135,136,135,136,134,134,132,132,131,130,129,127,126,124,122,122,120,119,118,118,116,117,116,
117,116,117,117,119,119,121,122,124,126,128,128,131,131,133,134,136,135,137,137,138,139,139,138,
139,138,139,138,139,138,138,139,138,138,138,137,137,138,137,138,137,137,138,136,137,135,136,134,
135,132,133,130,131,129,129,128,126,126,124,125,123,124,124,123,123,123,124,124,123,125,125,127,
127,129,131,132,133,135,137,137,140,140,142,141,144,143,144,143,144,143,143,142,140,140,138,138,
136,134,132,131,129,129,126,126,126,124,125,124,125,124,125,125,126,126,128,127,129,129,131,131,
133,133,134,134,135,135,136,135,136,135,135,135,135,135,134,136,135,136,135,137,136,138,138,139,
139,140,139,140,140,139,140,138,139,138,138,137,136,135,133,132,130,130,127,127,124,123,123,121,
120,119,118,119,118,117,117,117,118,119,118,120,120,123,123,125,128,128,131,132,134,134,137,137,
139,138,139,138,139,138,138,137,135,136,134,132,132,130,130,128,127,125,125,123,123,122,121,121,
120,121,122,121,122,122,122,123,123,122,123,122,123,122,121,122,120,121,119,120,120,119,120,119,
120,119,120,120,121,122,122,123,124,124,126,127,127,128,128,129,129,129,130,128,129,128,128,127,
125,125,123,122,120,120,117,117,115,115,112,112,110,110,109,108,108,107,108,109,108,110,110,112,
113,115,115,117,119,119,122,121,123,124,124,126,126,127,127,128,127,128,126,128,126,127,126,124,
124,123,123,122,122,122,120,121,120,121,120,120,121,119,121,119,120,120,120,119,119,117,117,116,
114,115,113,113,112,111,111,111,110,111,110,112,111,113,113,116,116,119,119,122,123,126,127,130,
131,134,136,136,138,138,140,140,140,140,140,140,139,137,137,136,134,132,131,130,127,127,125,125,
124,122,122,122,120,121,120,122,121,123,123,123,125,124,126,127,128,129,130,131,131,133,134,133,
135,136,135,137,137,136,137,137,138,137,138,138,137,138,138,138,138,137,138,138,138,138,138,137,
139,138,137,138,137,137,136,134,134,133,131,131,129,127,127,125,124,123,121,121,120,120,119,119,
118,120,119,121,122,124,124,127,127,130,131,133,134,136,138,137,140,139,141,141,142,142,143,143,
141,142,140,141,139,139,137,137,136,135,135,134,132,133,131,132,130,131,131,130,129,129,129,129,
129,128,127,128,127,128,127,128,127,129,128,129,130,130,130,131,131,131,132,131,132,132,133,133,
135,135,136,136,138,138,139,138,140,139,141,140,142,140,141,141,139,140,138,138,136,134,133,131,
130,127,126,124,123,121,121,119,119,119,118,118,117,118,118,119,119,120,120,122,122,124,125,126,
128,128,130,130,132,132,132,133,132,133,132,133,132,133,132,133,132,133,131,132,132,131,131,130,
130,129,128,128,126,127,125,125,125,123,123,121,122,120,120,118,119,118,118,117,116,116,115,116,
114,115,115,116,115,115,115,115,116,117,116,118,118,118,120,120,122,123,123,125,126,126,128,127,
129,128,128,128,127,128,128,126,126,124,124,123,123,122,121,120,118,118,115,116,114,114,113,112,
112,112,113,113,112,113,113,114,114,115,115,116,117,116,118,118,118,120,120,120,122,121,123,122,
124,124,125,125,126,125,126,127,126,127,126,127,127,126,126,125,126,124,124,123,123,122,122,120,
121,119,120,118,119,117,117,116,117,116,115,116,115,116,115,117,117,118,117,119,118,119,121,121,
123,124,126,126,128,129,130,131,133,132,135,134,136,135,136,137,136,137,137,136,137,135,136,136,
134,134,133,133,132,131,131,130,130,128,129,127,128,128,126,127,127,127,126,127,127,128,127,128,
128,129,128,129,128,129,130,130,131,132,132,133,133,134,134,135,134,136,135,137,136,138,137,139,
138,139,138,139,138,139,138,136,137,136,135,134,133,131,131,130,130,129,127,127,126,125,125,124,
124,122,123,123,121,122,121,123,122,124,123,125,126,126,128,129,129,131,131,133,134,134,136,136,
138,138,140,140,142,141,143,143,142,143,142,143,142,140,140,139,139,137,137,136,136,134,134,133,
133,131,132,130,130,129,128,128,127,128,126,127,126,126,125,126,125,125,126,125,126,127,126,128,
127,129,130,130,132,132,134,134,135,135,137,136,138,138,137,138,139,137,139,137,138,138,137,137,
136,136,134,134,133,131,131,130,128,128,126,127,124,125,123,123,121,122,121,121,120,119,120,119,
120,119,121,120,122,121,123,123,125,125,127,126,129,128,130,131,131,132,133,132,133,133,133,133,
133,132,132,132,131,131,130,130,130,128,128,127,127,125,126,124,124,122,123,120,121,119,119,118,
117,117,115,115,115,115,113,114,114,113,113,113,113,114,114,113,115,114,116,116,118,118,120,120,
122,122,124,125,126,125,127,127,128,127,129,129,129,129,128,128,128,127,127,126,125,124,123,122,
121,121,118,119,116,117,116,115,114,114,112,113,112,112,111,112,113,112,114,113,115,114,116,117,
117,117,119,118,120,121,121,120,121,121,122,122,121,123,122,122,123,122,123,122,123,124,123,124,
123,123,124,123,124,123,123,124,123,124,123,124,123,124,122,123,122,122,122,122,121,121,120,120,
120,119,120,119,120,120,120,122,121,123,123,125,125,127,128,128,131,131,132,133,134,135,135,137,
137,137,138,138,139,139,139,138,138,138,138,137,135,136,134,133,133,132,130,130,129,129,128,127,
127,125,126,126,125,125,126,125,126,125,127,126,128,127,129,129,129,130,129,131,130,132,132,132,
132,133,132,133,133,134,134,135,134,135,135,136,135,136,137,135,137,135,137,136,135,135,135,134,
134,134,133,133,131,131,130,129,127,128,125,126,126,125,125,125,126,126,127,127,128,129,129,130,
130,131,133,132,135,134,136,136,138,138,138,139,140,139,140,139,140,140,138,139,138,139,137,138,
136,137,135,136,134,135,133,133,132,132,131,131,130,130,129,130,129,129,129,128,129,128,129,128,
127,128,126,127,127,126,127,127,126,127,126,128,127,129,128,130,130,131,131,132,134,133,135,134,
137,136,138,137,138,137,138,137,137,136,136,134,134,133,130,130,127,127,126,124,124,122,122,121,
120,120,120,120,120,120,120,121,122,121,123,122,124,123,125,126,125,127,126,128,128,129,128,129,
128,129,129,129,129,129,128,129,128,128,127,128,126,127,126,126,126,125,126,124,126,124,125,124,
125,123,124,122,122,122,121,121,120,118,118,117,117,115,114,115,113,114,112,113,112,113,112,113,
114,114,116,116,118,119,120,121,122,124,126,126,128,128,130,129,131,131,131,131,130,130,129,128,
127,126,124,124,121,121,119,119,118,116,116,115,115,114,115,113,114,113,115,114,114,115,115,114,
115,116,115,116,115,117,116,117,116,118,116,118,117,118,117,119,119,118,120,119,121,122,122,123,
124,125,125,127,127,129,129,130,130,132,131,132,132,132,132,132,131,130,130,128,128,126,126,125,
123,123,122,121,121,119,120,119,119,118,119,119,120,121,122,121,124,124,127,127,130,130,133,134,
135,137,137,139,139,141,140,141,140,141,139,141,139,139,138,138,135,135,133,133,132,131,131,130,
131,129,130,129,130,129,130,130,129,130,129,130,129,130,129,130,128,129,128,127,127,127,126,127,
125,126,125,125,125,126,125,126,126,127,127,129,129,131,132,133,134,135,136,137,138,137,139,138,
140,140,139,140,139,139,138,137,137,137,134,135,132,133,130,130,128,128,126,127,126,125,126,124,
126,124,126,126,126,127,127,129,130,130,132,133,134,135,135,136,136,137,136,138,136,137,136,137,
136,136,135,135,134,135,133,134,133,134,133,133,133,133,134,132,134,133,134,133,134,133,133,133,
132,131,131,130,130,130,127,128,126,126,124,125,123,124,122,123,122,123,123,124,124,124,126,125,
128,127,129,129,130,131,131,132,133,134,134,135,134,134,135,134,135,134,134,133,133,131,131,131,
129,129,128,126,126,124,124,123,121,121,121,119,120,119,120,119,121,120,122,121,122,123,122,124,
124,123,124,124,125,125,124,125,123,124,123,124,122,123,122,122,122,121,122,121,122,121,122,121,
123,123,122,123,123,123,123,124,123,124,123,123,122,123,121,122,121,120,119,118,118,118,116,117,
116,115,115,114,115,114,115,115,115,116,116,117,117,118,120,119,121,122,122,123,124,124,126,125,
126,126,127,126,127,127,127,126,126,125,123,124,122,122,119,120,118,117,117,115,116,114,114,115,
114,115,114,114,116,115,117,116,118,117,119,118,120,119,119,121,120,122,121,122,121,123,122,124,
124,124,123,125,124,125,126,126,126,127,128,128,130,129,131,131,132,133,133,134,133,134,133,134,
134,132,133,131,131,131,129,130,129,127,127,127,125,125,124,125,124,124,125,125,126,125,127,127,
129,128,131,130,133,133,134,134,136,136,138,138,139,138,139,140,139,140,138,139,137,138,137,135,
135,134,134,132,132,131,131,130,131,129,129,129,129,129,129,129,129,129,129,130,129,130,129,129,
129,129,129,130,129,129,128,127,128,127,127,127,126,127,127,126,127,126,128,128,130,129,132,131,
134,134,135,136,137,138,139,139,140,140,140,140,140,139,138,138,136,136,133,133,132,130,129,129,
127,127,125,125,124,125,125,123,125,125,126,124,126,127,127,128,129,129,131,131,132,132,133,133,
134,135,133,135,134,134,134,133,134,133,133,132,133,131,132,131,132,131,131,131,130,131,131,131,
130,131,130,131,131,131,130,131,131,130,130,129,129,129,127,127,125,125,123,123,122,121,119,120,
118,119,119,118,119,118,121,120,123,123,125,126,128,130,130,132,133,135,134,136,136,136,136,135,
135,135,134,134,131,132,130,129,128,125,125,123,123,121,121,119,120,118,120,118,120,118,120,120,
119,120,120,121,121,122,123,123,123,124,123,124,123,124,122,123,121,122,120,121,120,120,120,119,
120,118,120,119,119,120,120,121,121,123,123,124,125,126,126,128,127,129,128,129,128,128,128,127,
126,125,124,124,121,121,118,118,115,115,114,113,113,111,112,112,113,112,114,113,116,116,118,119,
120,122,123,125,126,126,127,127,128,129,128,129,127,128,127,126,125,124,123,122,122,120,120,119,
118,118,117,117,117,117,117,118,118,119,120,121,122,123,124,125,124,125,126,126,127,126,127,127,
125,127,126,126,125,125,124,124,124,124,123,124,123,124,124,125,126,125,128,127,130,131,131,133,
134,135,136,137,138,139,138,139,138,140,138,139,137,136,136,134,133,133,131,129,129,127,127,125,
126,125,124,125,125,125,126,127,128,129,130,131,131,133,134,135,135,136,135,137,137,138,137,137,
136,136,135,134,133,132,132,130,130,128,129,127,128,126,128,127,127,128,129,128,128,129,129,130,
130,131,131,132,131,132,131,132,130,131,129,130,128,129,127,126,126,125,125,124,125,124,126,125,
126,127,127,128,129,130,131,132,134,133,136,135,137,137,139,140,140,140,140,139,139,139,138,137,
135,135,133,131,131,129,129,127,127,126,125,124,125,123,125,124,124,125,125,126,126,128,129,130,
131,132,132,133,133,134,133,135,133,134,133,132,132,131,131,130,130,128,129,127,128,127,128,127,
129,127,129,128,130,129,131,131,132,131,133,133,132,132,132,132,130,130,128,129,126,127,124,125,
122,123,122,120,120,119,120,118,119,118,120,119,121,120,122,122,124,124,126,126,128,128,130,130,
132,132,133,133,133,133,133,133,132,131,130,129,128,127,125,125,123,123,121,121,119,119,119,117,
119,117,119,119,119,120,119,121,120,122,121,122,122,123,121,123,121,121,121,120,120,120,118,119,
118,117,118,116,117,117,117,118,119,118,120,121,122,122,124,124,126,126,127,127,128,128,129,128,
129,128,128,127,127,126,125,124,123,121,121,120,118,116,117,115,115,114,113,113,113,113,114,114,
114,115,116,117,118,119,120,120,122,122,124,124,125,125,126,127,125,127,126,125,125,124,124,123,
124,122,123,122,123,121,123,121,123,122,124,124,124,125,127,126,128,129,128,130,129,131,131,131,
131,131,131,131,130,129,128,128,127,127,125,125,124,124,123,122,123,122,124,123,125,125,128,128,
129,131,132,134,136,136,138,138,140,140,141,142,140,142,140,141,138,139,138,136,136,135,132,132,
130,130,128,128,126,126,125,125,126,124,126,125,127,127,127,129,129,130,130,131,131,133,133,133,
132,134,132,134,132,133,132,131,131,130,130,129,129,129,128,128,128,128,128,128,130,128,131,130,
131,132,132,133,133,134,134,135,135,135,135,135,135,135,133,134,133,132,131,130,128,128,126,126,
125,125,124,124,125,123,125,124,127,126,128,128,130,131,131,133,133,135,135,136,138,137,138,139,
139,139,138,138,136,137,134,135,134,132,132,130,130,129,128,128,127,127,127,127,126,127,127,128,
127,127,129,128,130,130,130,130,131,131,130,131,129,131,129,130,129,128,129,128,128,127,127,127,
127,127,127,125,127,125,127,126,127,127,127,129,128,130,130,130,131,131,132,131,132,132,131,132,
131,131,130,129,127,128,125,126,124,124,123,121,122,120,121,119,121,120,121,120,122,122,124,123,
125,126,125,127,128,128,128,129,129,130,129,129,129,129,128,127,127,125,126,125,123,124,122,122,
122,121,122,120,121,120,121,121,120,121,121,121,121,122,120,122,120,122,121,121,121,121,121,122,
121,120,121,120,120,120,120,119,120,120,119,120,119,120,120,121,120,122,121,123,123,124,123,125,
125,126,126,126,127,126,127,126,126,125,125,124,124,124,122,122,120,120,119,119,117,117,116,117,
117,116,117,116,117,117,117,118,118,119,119,121,122,123,123,124,123,125,124,126,125,126,125,126,
125,126,125,126,125,126,125,126,125,125,126,125,127,126,127,127,128,127,129,128,130,130,130,131,
130,131,130,132,130,131,131,130,130,130,129,129,129,128,128,128,127,128,127,128,128,127,128,127,
129,129,129,130,130,132,132,133,133,135,135,137,136,138,137,139,137,139,137,139,138,137,137,136,
136,134,135,134,133,131,131,130,130,128,129,128,127,128,127,128,127,128,128,127,128,127,128,128,
128,128,129,129,129,129,130,129,130,129,130,130,129,130,128,129,128,129,128,129,129,129,129,130,
131,130,132,131,133,133,134,133,134,134,135,134,135,134,134,135,133,134,133,132,132,131,131,131,
129,129,127,128,127,126,127,125,126,126,127,126,127,127,128,127,129,129,131,130,132,131,133,133,
134,135,134,135,134,135,135,134,135,134,134,133,134,132,133,131,132,130,131,130,129,130,129,129,
128,129,128,128,129,128,129,128,129,130,130,130,130,130,128,129,129,129,127,127,125,126,124,125,
123,123,122,123,122,122,122,123,122,123,123,125,125,126,127,128,128,130,129,131,130,132,132,132,
132,132,132,132,131,130,130,128,128,127,126,124,124,122,121,122,120,120,119,119,118,118,119,118,
120,119,120,121,121,122,122,123,123,125,124,126,126,125,126,126,127,127,126,127,126,126,126,125,
124,123,123,122,122,121,121,121,120,120,121,120,121,121,121,122,122,123,123,124,124,124,125,125,
126,125,125,126,124,125,123,124,122,122,120,121,120,119,119,118,119,117,119,117,119,118,120,119,
121,121,121,123,123,124,124,126,127,127,127,128,128,128,128,128,128,127,126,127,125,125,125,123,
123,121,122,121,120,120,120,118,120,118,120,120,120,120,121,121,122,122,124,124,125,126,126,127,
127,128,127,129,128,129,129,129,128,129,129,128,129,128,129,128,128,128,127,128,128,128,128,129,
129,130,131,130,132,131,133,133,133,134,133,135,133,134,133,134,132,133,131,132,131,129,130,128,
128,127,128,126,127,126,127,126,128,128,128,129,129,131,131,132,132,134,133,135,134,136,135,136,
136,136,136,135,135,135,133,133,131,132,130,130,128,129,128,126,127,127,126,127,126,127,126,127,
127,128,128,127,129,128,128,130,129,130,129,130,130,129,130,129,129,129,129,128,128,127,128,126,
127,127,126,127,128,126,128,127,129,128,130,130,132,131,133,132,134,133,135,135,134,135,134,135,
133,134,133,132,131,130,130,129,127,127,125,125,124,124,124,123,124,123,124,123,125,124,126,126,
128,129,130,131,132,132,133,133,134,134,133,134,134,133,133,132,132,130,130,129,129,128,128,126,
127,127,126,126,127,126,127,126,127,126,128,127,128,128,129,129,128,128,129,129,128,127,127,126,
126,125,125,125,123,124,122,123,122,121,122,120,121,120,122,121,121,122,122,123,123,125,126,127,
127,128,129,129,130,131,130,132,130,132,130,131,129,130,128,128,127,125,125,123,123,121,121,120,
119,119,119,119,119,118,120,120,121,121,122,122,123,123,125,124,126,126,126,127,126,126,126,126,
125,125,123,124,123,123,121,122,121,121,121,121,122,121,122,121,123,123,123,124,125,124,126,125,
127,126,127,128,127,128,128,127,127,126,126,125,125,124,124,123,121,122,120,120,119,119,119,118,
118,119,119,120,119,120,121,120,123,123,124,126,126,128,129,128,130,129,130,129,130,129,129,127,
127,126,126,124,124,122,123,123,122,122,121,122,121,122,122,123,123,124,124,125,127,127,129,130,
131,131,132,131,132,132,133,133,133,132,132,131,131,130,130,128,129,127,128,127,126,127,127,125,
127,126,129,129,129,131,131,132,132,134,135,135,137,137,138,139,137,137,135,135,134,133,133,133,
134,133,134,133,131,131,129,129,128,128,127,127,127,126,127,126,127,127,127,128,128,131,131,133,
133,135,135,135,135,135,135,134,134,134,133,131,131,130,128,128,127,126,127,126,127,126,124,124,
123,121,122,120,122,121,122,122,124,125,125,128,128,130,132,133,134,135,137,137,138,137,138,138,
137,138,137,139,139,141,142,142,145,145,144,144,143,141,141,139,140,139,140,139,137,136,134,130,
128,126,122,122,120,120,120,120,121,123,123,125,125,127,126,128,128,127,130,129,132,134,136,137,
140,141,143,143,143,144,143,144,144,145,145,145,144,143,141,139,136,135,132,133,132,132,131,132,
130,131,129,126,126,122,120,118,115,113,111,107,106,103,103,101,102,100,102,101,102,102,101, 99,
 99, 97, 97, 96, 96, 95, 95, 93, 93, 91, 91, 90, 89, 88, 90, 89, 90, 89, 89, 87, 87, 84, 84, 82,
 83, 83, 83, 86, 87, 88, 91, 93, 95, 97, 98,101,103,104,105,107,108,109,112,114,115,117,117,119,
119,118,119,117,117,117,116,117,117,118,119,118,120,120,122,123,123,125,126,128,129,133,135,140,
143,149,152,157,159,163,164,167,168,170,169,171,171,169,170,168,165,164,162,161,159,159,158,158,
158,159,158,158,156,155,151,148,142,137,132,127,122,118,114,110,107,104,103,100, 99, 97, 96, 97,
 97, 99,101,104,105,108,109,113,116,117,120,122,122,124,125,125,125,123,121,118,115,111,108,104,
101, 98, 96, 94, 95, 96, 99,100,105,108,114,119,124,130,134,139,145,148,154,158,163,164,167,167,
168,165,163,158,154,149,145,140,137,134,130,128,125,125,123,125,126,129,131,136,139,143,147,151,
158,162,168,172,176,179,183,185,188,188,190,190,188,188,185,180,174,167,160,152,146,140,135,132,
129,131,132,135,138,141,144,147,153,157,165,171,179,185,191,197,201,205,206,207,206,202,199,193,
185,178,167,158,147,138,128,121,111,106, 99, 95, 91, 91, 90, 93, 94, 99,103,110,117,124,133,139,
147,153,161,167,173,179,184,189,192,195,195,194,190,184,178,169,162,153,144,135,128,120,114,109,
105,100, 98, 93, 92, 89, 89, 89, 91, 93, 95, 98,100,101,103,103,104,104,104,105,105,105,103,101,
 97, 93, 87, 83, 76, 72, 65, 60, 54, 52, 49, 49, 47, 49, 49, 52, 53, 58, 62, 64, 69, 73, 76, 81,
 84, 88, 91, 95, 98,100,102,102,101, 99, 95, 91, 86, 81, 77, 72, 67, 65, 61, 61, 58, 61, 60, 63,
 65, 67, 70, 73, 79, 84, 89, 94, 99,104,108,111,114,116,118,121,124,125,129,130,133,133,132,131,
129,128,126,124,121,119,117,118,119,120,124,126,128,132,134,139,144,148,153,157,162,166,170,171,
175,175,177,175,176,173,171,165,161,154,149,142,134,129,121,116,111,106,101, 97, 94, 91, 89, 88,
 89, 90, 93, 95, 99,102,108,112,119,124,129,135,141,147,152,157,159,161,161,156,152,145,137,130,
121,112,105, 98, 93, 88, 84, 82, 79, 80, 79, 82, 83, 88, 90, 95, 99,104,108,113,116,121,124,129,
132,136,139,142,144,146,146,148,148,147,146,142,137,134,128,125,119,117,114,114,114,117,118,122,
124,129,132,138,144,150,157,163,169,173,178,181,186,188,189,189,187,186,183,180,178,174,171,165,
162,159,156,153,150,147,142,142,139,141,142,144,149,155,161,169,176,183,190,194,200,203,208,210,
214,214,216,213,211,206,199,190,181,170,160,151,140,134,127,120,116,112,111,111,111,114,115,120,
123,129,134,142,149,155,163,168,175,180,184,188,190,190,192,190,190,187,185,181,175,170,163,158,
151,144,137,130,125,119,114,111,106,105,103,103,102,102,101,102,102,101,103,103,106,106,108,108,
107,106,102, 99, 95, 88, 84, 77, 73, 67, 64, 59, 57, 53, 52, 50, 49, 48, 48, 47, 48, 49, 50, 53,
 55, 59, 62, 65, 69, 72, 76, 81, 84, 88, 91, 95, 97,100,101,102,101,100, 97, 97, 94, 92, 89, 88,
 86, 85, 85, 86, 89, 92, 93, 97, 98,103,106,108,111,112,114,115,116,118,119,121,122,121,124,124,
127,128,129,130,129,130,129,131,130,129,129,128,127,126,125,125,126,128,129,133,136,142,146,152,
157,162,166,170,174,176,180,182,182,182,180,179,175,171,165,159,151,145,136,131,122,117,109,104,
 96, 92, 85, 81, 78, 75, 75, 75, 79, 82, 86, 92, 96,103,108,115,121,127,131,136,139,143,144,145,
144,143,140,138,134,131,126,123,118,113,110,107,103,104,101,103,103,107,108,109,112,112,115,116,
120,121,125,127,130,131,135,135,138,137,138,136,137,134,134,131,129,126,122,121,117,116,112,111,
109,109,107,111,113,119,123,130,135,142,149,154,160,163,167,168,173,174,178,182,184,187,189,188,
188,185,183,178,172,168,162,156,152,147,144,140,138,136,136,137,140,142,146,149,153,159,165,169,
176,179,184,186,189,188,190,188,184,181,176,172,168,161,157,150,144,137,132,127,122,120,115,115,
114,115,116,121,124,131,135,141,145,151,156,160,164,168,172,174,179,180,184,182,182,180,176,173,
167,163,157,152,145,140,133,126,119,114,106,103, 97, 95, 94, 93, 94, 96, 97,101,104,106,110,112,
115,116,118,117,119,117,117,114,113,109,108,105,101, 97, 93, 89, 84, 80, 74, 71, 66, 64, 60, 60,
 59, 59, 57, 60, 60, 63, 64, 67, 69, 72, 75, 79, 81, 83, 87, 86, 89, 87, 88, 86, 86, 83, 80, 78,
 75, 73, 70, 70, 67, 66, 64, 66, 65, 67, 70, 73, 77, 82, 86, 93, 97,104,108,112,117,119,124,126,
130,133,135,138,140,140,143,144,143,143,141,139,136,131,129,124,121,117,115,112,111,110,111,113,
115,118,123,128,136,142,150,156,162,166,172,175,180,181,185,185,187,186,185,184,180,177,172,168,
162,157,149,142,134,127,119,114,108,106,104,104,103,107,109,114,118,122,128,132,139,145,149,155,
158,162,163,164,162,160,155,150,146,138,133,125,119,113,105,100, 94, 90, 85, 83, 81, 81, 81, 84,
 85, 91, 95,100,104,110,114,120,125,130,134,139,143,149,153,157,159,161,160,159,156,152,145,140,
133,128,121,117,113,108,106,103,103,103,103,105,107,110,112,116,120,123,130,134,141,145,152,156,
160,165,167,169,171,170,172,170,171,168,166,162,159,154,152,148,146,145,144,145,148,151,157,162,
169,174,180,185,190,194,196,200,201,203,202,203,201,199,194,189,183,174,167,157,150,142,133,126,
117,112,105,101, 95, 94, 91, 93, 94, 99,103,109,115,120,127,132,139,144,150,153,159,162,167,169,
174,174,176,178,177,177,175,172,167,161,153,147,138,131,122,114,108,102, 97, 95, 91, 91, 88, 88,
 86, 88, 87, 88, 88, 90, 90, 91, 92, 90, 91, 90, 88, 87, 85, 84, 81, 80, 77, 76, 73, 71, 67, 65,
 61, 60, 57, 56, 55, 54, 54, 56, 57, 60, 62, 65, 69, 72, 76, 79, 83, 86, 90, 92, 94, 97, 97, 98,
 97, 95, 95, 92, 90, 85, 82, 78, 73, 72, 68, 67, 65, 66, 66, 69, 69, 73, 74, 78, 79, 84, 87, 90,
 95, 98,102,106,108,112,115,119,122,126,131,134,140,143,146,149,150,151,151,151,152,150,149,147,
147,146,144,146,146,150,151,155,158,160,164,165,168,169,172,173,176,177,181,181,183,181,181,178,
177,172,168,162,157,152,146,140,135,128,123,118,113,111,108,109,109,113,115,121,126,131,139,144,
151,156,163,167,173,176,181,183,186,186,187,185,183,178,174,166,160,151,144,135,129,122,117,112,
108,105,104,102,101,101,101,101,103,104,107,109,114,116,122,125,131,133,137,139,140,141,143,143,
144,143,145,144,144,143,141,141,138,137,135,134,132,133,132,134,136,138,139,143,145,149,151,153,
156,158,161,162,165,165,168,168,167,165,161,157,153,146,142,136,130,125,120,118,115,115,113,115,
116,118,123,127,133,139,146,153,159,165,173,178,184,188,193,195,200,201,202,202,200,198,193,189,
182,176,168,160,151,144,136,129,123,118,115,112,112,111,112,114,114,116,116,119,120,122,123,127,
129,133,136,139,143,144,147,146,148,145,145,143,140,137,132,126,122,116,112,106,103,101, 98, 96,
 94, 96, 96, 99,100,102,104,106,109,111,112,113,113,114,113,113,111,110,109,105,103, 99, 95, 91,
 86, 80, 76, 70, 63, 59, 53, 50, 45, 43, 39, 38, 35, 36, 34, 36, 37, 39, 43, 47, 50, 55, 59, 64,
 67, 71, 74, 78, 80, 83, 85, 88, 88, 90, 90, 90, 90, 89, 89, 88, 89, 89, 90, 90, 92, 92, 93, 93,
 95, 95, 95, 95, 96, 95, 95, 94, 95, 94, 95, 95, 98, 99,100,103,105,104,107,105,106,106,105,104,
105,104,105,104,105,105,107,109,110,115,118,124,129,136,142,151,158,165,173,179,186,192,197,202,
206,209,210,211,209,208,203,199,193,185,177,168,157,149,139,132,123,118,112,109,105,104,102,103,
102,106,108,111,116,121,127,133,140,147,152,158,162,164,167,167,168,168,167,166,165,162,161,158,
155,152,148,145,142,139,138,137,138,139,141,143,146,147,150,153,153,155,156,155,157,156,157,155,
156,154,154,153,151,149,146,142,137,133,127,123,117,114,109,107,103,102, 99, 99, 98,100,102,106,
110,116,122,130,138,145,152,159,165,171,175,180,183,186,187,186,187,183,182,178,175,171,165,162,
156,154,150,148,147,145,145,145,146,147,148,150,152,153,156,159,161,163,167,168,172,172,174,173,
171,169,166,162,157,153,148,144,139,134,131,127,125,122,122,122,122,123,123,126,128,133,135,141,
145,149,152,158,161,166,170,173,175,177,178,179,178,176,173,168,163,156,150,142,132,124,114,106,
 96, 90, 83, 79, 74, 69, 67, 65, 65, 64, 66, 66, 69, 71, 75, 78, 84, 87, 92, 94, 99,101,105,107,
110,112,113,114,114,114,112,108,106,102, 98, 94, 90, 86, 83, 79, 77, 73, 72, 70, 67, 67, 65, 66,
 64, 65, 66, 66, 66, 65, 66, 65, 67, 66, 66, 67, 66, 65, 64, 62, 62, 60, 60, 58, 59, 59, 59, 59,
 59, 60, 61, 61, 64, 65, 69, 73, 77, 81, 87, 92, 98,103,110,115,120,126,130,136,140,142,146,147,
149,149,149,147,144,141,136,130,126,120,116,112,108,105,103,102,102,103,104,106,110,114,119,126,
132,140,147,153,161,166,170,174,176,178,178,176,177,174,173,170,165,162,157,154,149,143,139,135,
133,132,130,132,133,135,138,141,145,149,153,155,160,161,166,168,169,172,173,174,173,173,171,169,
165,160,154,148,139,133,125,121,114,111,106,105,102,103,102,102,103,105,108,112,115,121,125,132,
136,143,147,153,157,162,166,171,174,178,179,180,182,180,178,173,169,162,156,150,142,136,128,124,
118,115,111,110,108,110,110,113,114,119,122,125,131,133,138,141,143,146,147,147,149,148,149,147,
147,148,146,147,145,146,146,145,147,148,148,152,154,156,160,164,169,175,179,184,189,192,197,198,
200,200,200,198,196,194,190,187,182,175,170,162,156,148,142,135,126,121,113,109,103,100, 96, 93,
 92, 92, 93, 95, 98,101,106,111,116,123,130,138,145,152,159,164,169,174,178,181,184,185,185,184,
181,178,172,168,160,155,147,142,134,130,123,119,113,109,104,101, 97, 93, 91, 88, 87, 87, 85, 86,
 84, 85, 85, 84, 85, 85, 84, 84, 83, 83, 82, 79, 78, 76, 73, 72, 70, 69, 67, 68, 66, 68, 68, 68,
 70, 73, 75, 78, 81, 85, 88, 91, 93, 96, 98, 99,101,101,103,102,104,103,104,103,103,100, 99, 95,
 90, 86, 81, 75, 71, 66, 62, 59, 55, 54, 51, 51, 49, 48, 49, 49, 52, 54, 59, 63, 69, 73, 80, 85,
 91, 97,103,110,116,121,126,131,135,139,141,142,144,144,142,142,139,138,136,136,135,137,138,142,
144,149,151,156,159,163,165,168,169,171,172,172,171,171,169,165,163,158,154,147,140,132,124,116,
110,103, 99, 94, 93, 90, 91, 91, 91, 95, 96,101,105,110,117,124,133,141,150,158,166,172,180,185,
189,192,193,195,195,195,192,189,185,178,172,164,155,149,140,134,126,122,115,111,107,102,100, 96,
 94, 92, 91, 92, 92, 94, 96, 98,102,105,110,114,120,123,129,132,137,138,142,142,143,142,140,139,
136,135,133,131,131,130,131,132,135,136,140,144,147,153,155,160,162,165,165,166,165,165,163,163,
162,160,158,154,152,146,143,138,133,128,123,119,116,113,112,111,111,112,114,116,121,125,129,135,
139,146,150,156,161,167,172,177,181,186,189,192,194,196,197,196,195,193,190,187,182,177,170,165,
158,153,147,143,138,135,132,130,128,127,127,126,126,127,128,130,131,134,137,137,140,141,144,144,
146,147,147,146,146,145,143,139,137,132,129,126,122,120,116,116,112,112,111,109,111,111,113,114,
118,119,123,124,127,128,130,130,130,131,130,130,129,125,124,120,115,110,104, 98, 91, 85, 78, 73,
 68, 63, 60, 57, 55, 52, 50, 49, 47, 47, 46, 46, 49, 50, 54, 57, 62, 66, 72, 76, 83, 88, 95, 99,
106,110,115,118,121,122,122,123,123,121,120,117,116,113,112,109,108,106,105,104,102,102,100,100,
 99, 97, 98, 97, 99,100,103,105,107,111,112,115,116,116,115,114,111,110,107,106,103,101,102,102,
102,105,107,109,114,117,124,130,137,146,153,163,170,178,184,191,194,199,200,202,201,201,199,195,
193,188,183,177,170,162,154,146,138,132,124,119,114,110,106,105,101,102,100,102,104,106,110,113,
117,123,127,132,137,142,146,150,152,155,157,159,159,159,158,158,155,155,152,151,147,147,143,143,
140,139,136,136,133,134,132,131,131,130,131,130,132,132,133,133,134,136,136,137,137,136,136,133,
130,125,119,114,107,103, 97, 94, 91, 88, 87, 85, 86, 86, 89, 91, 94, 99,102,107,113,118,124,129,
135,141,146,151,155,158,163,164,167,166,168,166,167,165,164,161,160,157,155,153,150,149,146,146,
143,144,142,142,140,141,139,139,138,138,140,140,142,142,145,145,147,146,148,147,146,146,144,142,
140,136,134,130,128,126,123,123,121,123,123,124,126,127,130,134,136,141,144,148,152,154,158,160,
163,164,167,168,170,171,171,171,170,166,164,158,154,146,140,131,125,116,110,103, 97, 92, 86, 81,
 78, 75, 74, 72, 73, 73, 75, 77, 81, 84, 89, 94, 97,103,106,111,115,119,121,124,126,128,128,129,
129,127,127,124,123,120,117,114,109,106,100, 97, 92, 89, 83, 81, 78, 74, 73, 70, 69, 67, 68, 69,
 70, 73, 76, 79, 81, 83, 85, 85, 87, 85, 86, 85, 83, 84, 82, 83, 82, 83, 82, 84, 84, 83, 84, 84,
 86, 87, 91, 93, 97,101,107,111,117,122,127,132,136,141,144,148,150,153,154,155,154,153,149,146,
141,136,131,126,121,118,114,113,112,113,114,116,119,122,126,130,133,138,141,145,149,151,156,158,
162,164,165,167,167,167,167,167,165,164,161,160,158,157,154,153,150,150,148,148,147,146,148,148,
149,150,152,153,156,158,159,162,164,164,166,166,167,165,166,163,163,159,157,152,148,142,138,132,
129,124,120,116,113,110,107,104,103,102,102,102,104,106,110,114,118,123,128,134,140,144,151,155,
159,163,164,166,166,166,164,162,159,156,151,148,142,138,133,128,124,120,117,113,111,110,108,108,
107,108,107,108,109,109,112,112,115,115,118,118,120,121,123,123,126,127,129,130,131,134,136,138,
140,141,144,146,148,150,152,153,155,157,159,162,164,166,170,171,174,175,178,179,179,180,179,179,
176,174,170,166,159,154,146,140,133,127,120,115,109,106,102, 98, 97, 96, 94, 95, 95, 95, 97, 98,
102,105,108,114,119,125,130,137,142,149,154,160,164,167,170,171,171,172,169,167,163,159,152,147,
139,133,126,119,113,108,101, 98, 93, 91, 89, 86, 85, 82, 82, 80, 80, 79, 80, 80, 80, 82, 82, 84,
 85, 85, 86, 85, 85, 86, 86, 85, 86, 85, 85, 84, 83, 82, 81, 78, 78, 75, 75, 75, 74, 76, 77, 81,
 83, 87, 90, 95, 98,103,106,110,113,116,118,120,121,121,121,119,119,115,113,109,103, 98, 92, 87,
 82, 77, 74, 72, 68, 68, 66, 67, 66, 68, 69, 70, 75, 78, 84, 89, 95,103,110,118,124,131,136,140,
145,146,149,149,151,150,151,151,151,151,150,152,151,154,155,157,160,162,165,167,170,172,173,173,
175,175,175,174,172,172,169,167,164,162,159,154,151,147,143,139,134,128,125,120,118,114,113,112,
111,110,111,113,113,117,119,125,130,135,142,148,153,160,165,171,176,180,185,187,191,193,193,194,
192,190,187,182,178,171,166,159,151,144,136,130,123,116,112,108,104,103,100,100, 99,100,100,102,
104,105,109,112,114,119,122,124,128,129,132,132,135,134,136,135,136,135,136,135,134,135,134,136,
136,137,138,139,141,142,145,145,147,147,148,147,147,146,146,144,145,143,144,142,143,142,141,140,
139,138,136,136,134,133,130,130,126,126,124,125,123,124,124,127,127,131,133,138,142,145,151,155,
161,166,169,174,176,179,180,181,181,181,179,178,176,174,171,168,164,160,155,151,146,143,137,134,
130,128,124,123,119,119,116,117,116,115,117,117,120,121,125,126,130,133,134,136,136,137,135,133,
132,128,126,123,118,116,113,109,108,105,103,103,101,102,100,102,102,104,104,106,107,107,110,111,
112,112,114,113,116,115,117,115,116,115,114,111,109,105,100, 94, 88, 81, 75, 68, 63, 57, 53, 49,
 44, 42, 39, 37, 36, 36, 36, 38, 41, 45, 51, 56, 63, 69, 75, 82, 88, 92, 98,100,105,106,109,111,
111,112,111,111,109,107,105,101, 99, 96, 94, 91, 91, 89, 87, 88, 87, 88, 88, 91, 93, 94, 98, 99,
103,104,107,108,110,109,111,110,109,110,108,108,106,107,106,108,109,112,114,120,122,128,131,138,
141,147,151,157,161,167,171,174,177,180,183,185,187,187,187,188,187,186,184,182,178,174,171,166,
162,156,151,147,141,136,133,128,126,123,122,121,119,120,119,121,123,124,126,129,133,137,142,147,
151,155,159,162,165,165,168,167,167,165,165,162,161,159,155,154,150,150,146,146,144,144,142,143,
141,141,140,141,139,140,140,139,141,140,142,142,143,143,142,141,140,138,136,132,130,126,122,120,
117,115,112,112,110,110,110,110,111,112,114,115,117,118,119,122,123,126,129,131,136,139,145,148,
152,156,159,164,166,170,172,175,176,175,175,173,171,169,166,162,159,156,154,151,150,148,147,145,
145,144,144,143,144,143,144,143,144,145,145,146,146,147,147,146,146,144,144,142,142,140,139,139,
138,138,138,138,137,138,137,138,138,139,140,140,143,145,149,151,155,157,162,164,167,168,171,171,
171,170,168,166,162,157,151,146,138,132,124,118,111,104, 99, 94, 91, 87, 84, 81, 80, 77, 76, 74,
 73, 73, 74, 75, 79, 82, 85, 91, 96,100,106,110,115,118,121,122,124,124,126,124,124,122,118,116,
110,107,100, 96, 89, 85, 80, 76, 71, 69, 66, 63, 63, 61, 62, 62, 62, 65, 66, 69, 70, 73, 75, 77,
 78, 80, 80, 81, 80, 80, 78, 78, 75, 74, 72, 71, 69, 70, 69, 71, 71, 73, 75, 77, 81, 84, 89, 93,
 99,103,110,114,120,124,129,131,135,137,137,139,138,138,136,134,134,131,130,127,126,125,124,123,
122,123,122,124,123,125,126,127,127,130,129,132,131,134,134,137,138,140,143,143,146,146,148,148,
148,149,148,148,148,147,148,148,146,147,145,145,144,143,143,141,141,141,141,141,142,143,145,147,
148,152,153,156,157,159,160,161,160,159,157,155,153,147,145,139,136,131,126,123,119,117,113,110,
109,106,106,105,105,106,106,108,110,112,117,121,124,130,133,139,144,148,153,154,158,159,162,161,
163,161,162,159,159,157,154,153,149,148,144,142,139,137,133,131,127,125,121,120,117,116,114,114,
113,115,116,119,121,125,129,131,135,137,141,143,146,148,148,150,150,153,153,155,156,157,159,160,
162,163,165,166,168,168,171,172,174,176,177,179,178,178,179,177,178,175,174,173,170,168,164,162,
157,154,150,144,141,136,132,127,123,119,116,113,112,111,109,110,109,111,113,115,120,124,130,135,
142,146,153,157,163,166,168,171,171,172,170,170,168,167,164,162,158,156,151,146,141,136,129,125,
118,115,109,106,102,100, 98, 94, 93, 91, 91, 91, 91, 91, 92, 94, 95, 97, 97, 99,100, 99, 99, 97,
 97, 95, 92, 90, 86, 83, 79, 77, 74, 72, 70, 68, 67, 66, 67, 67, 69, 71, 73, 77, 80, 86, 89, 95,
 98,103,107,110,113,114,115,116,116,114,112,108,105,100, 96, 90, 86, 82, 77, 74, 70, 67, 65, 63,
 63, 62, 63, 64, 66, 68, 71, 74, 77, 81, 85, 88, 93, 96,101,104,109,111,115,117,121,122,126,129,
132,136,138,142,143,147,150,151,154,155,157,158,160,161,161,161,162,162,162,161,161,159,158,156,
153,152,150,147,146,142,141,138,137,133,131,128,125,123,119,118,114,113,111,110,108,110,109,112,
113,117,120,126,130,135,142,146,153,157,163,166,170,171,174,175,175,175,173,172,169,167,163,160,
155,151,146,140,135,130,125,120,116,113,109,106,103,102,100,100, 99, 98,100,100,101,103,105,108,
110,112,114,117,118,121,124,125,128,129,132,133,136,137,139,141,140,142,141,142,141,140,140,138,
139,138,139,139,141,142,143,143,146,146,147,148,148,150,150,151,151,149,150,147,147,144,144,141,
140,139,136,136,133,134,132,134,133,135,135,138,138,141,142,145,147,151,153,157,161,163,168,169,
173,174,175,177,178,177,178,177,175,174,171,170,166,162,159,154,151,146,144,141,138,137,135,137,
135,137,137,138,137,139,138,140,140,142,143,142,144,143,144,142,143,140,139,137,134,131,128,125,
122,120,116,115,112,111,108,108,106,106,105,106,106,108,109,112,114,118,121,122,126,127,130,130,
132,131,131,129,126,124,119,115,109,104, 98, 90, 85, 78, 72, 67, 60, 57, 51, 49, 45, 45, 45, 46,
 47, 49, 54, 57, 63, 68, 73, 78, 83, 89, 93, 98,101,104,107,108,109,109,109,110,108,108,107,107,
105,105,103,104,102,102,101,102,100,101,101,101,102,102,102,103,103,103,104,103,104,104,105,106,
107,108,110,110,112,112,114,114,116,117,120,123,125,127,131,133,136,138,142,145,147,150,153,155,
158,160,161,164,165,167,168,170,171,172,173,174,173,173,171,169,165,163,158,154,149,144,140,135,
132,128,125,122,120,118,118,117,118,118,119,122,123,125,127,130,132,135,137,139,141,143,144,146,
146,147,146,147,145,146,144,144,143,143,141,141,140,138,138,136,136,134,133,133,131,132,131,131,
130,130,129,129,129,128,127,128,128,129,129,130,130,131,130,130,127,127,124,123,120,117,115,112,
110,108,107,106,105,105,104,104,106,107,111,113,117,121,126,130,135,139,143,148,151,155,158,160,
164,165,167,167,169,169,168,169,167,166,163,162,158,157,153,152,149,148,145,145,143,143,141,140,
139,138,137,138,138,140,140,141,141,142,142,142,140,140,137,137,135,135,134,134,134,134,135,137,
136,139,139,142,142,145,145,148,150,153,154,156,160,161,164,165,165,166,165,165,163,161,158,156,
152,149,144,138,134,127,122,116,111,106, 99, 96, 89, 87, 82, 80, 77, 77, 77, 77, 79, 80, 84, 87,
 90, 95, 98,103,108,110,116,118,122,124,125,126,125,125,123,122,118,116,111,107,103, 99, 95, 91,
 88, 84, 82, 81, 78, 79, 78, 79, 79, 81, 81, 83, 83, 84, 85, 84, 86, 85, 86, 86, 84, 84, 83, 82,
 81, 79, 79, 79, 79, 78, 79, 81, 82, 85, 85, 88, 89, 91, 91, 95, 96,100,101,105,107,111,113,117,
119,122,125,128,131,134,135,138,139,140,141,143,143,145,145,145,147,147,147,147,147,147,144,144,
142,140,139,137,136,134,134,133,134,133,136,135,138,139,142,142,146,146,149,149,149,150,149,150,
150,151,149,151,150,149,149,150,149,150,149,150,149,151,151,153,153,155,157,158,159,159,159,158,
158,156,156,153,153,150,150,147,143,141,137,135,132,128,126,123,122,119,118,117,113,114,111,111,
109,109,108,108,109,109,112,113,117,120,123,127,133,135,142,144,149,151,155,157,157,159,158,158,
155,155,151,149,145,141,137,133,128,125,120,118,115,111,110,108,108,106,107,105,107,106,108,111,
113,117,120,123,126,130,132,136,138,141,144,147,149,152,154,155,157,158,159,159,159,159,160,159,
160,160,162,163,164,165,166,167,168,167,168,166,166,163,161,159,156,154,150,148,144,141,137,135,
131,129,125,123,119,119,115,115,112,113,111,112,112,115,116,119,122,124,129,131,136,138,143,145,
150,151,155,155,158,158,157,156,154,152,148,147,143,138,134,129,125,119,115,110,106,103, 99, 97,
 95, 94, 92, 92, 90, 91, 92, 91, 94, 93, 96, 96, 98, 98,100, 98, 99, 96, 95, 93, 90, 86, 84, 81,
 78, 75, 73, 71, 70, 68, 68, 68, 69, 70, 73, 76, 80, 83, 88, 91, 96, 99,102,105,106,108,110,109,
111,109,110,108,107,106,105,104,104,101,101, 99, 97, 96, 93, 92, 89, 87, 85, 84, 82, 81, 80, 80,
 81, 81, 83, 84, 86, 88, 91, 92, 97, 98,104,106,113,115,121,126,130,136,141,145,151,154,159,162,
165,166,168,169,168,169,168,167,166,165,165,165,162,163,161,159,159,157,155,154,152,150,149,147,
146,143,142,140,137,135,132,131,127,127,124,124,121,122,122,122,123,123,126,127,131,134,136,141,
143,148,152,154,159,161,165,166,169,170,170,171,170,170,169,170,168,168,165,165,161,160,155,153,
147,144,138,132,127,123,117,114,110,106,105,103,103,103,103,105,106,109,112,116,119,123,127,130,
133,135,138,139,139,141,142,142,143,144,144,143,143,142,142,141,140,139,139,138,139,138,139,140,
140,141,141,142,142,144,144,146,147,148,149,149,151,152,153,153,152,152,150,148,147,144,141,138,
136,135,132,132,132,131,132,132,134,136,137,140,141,143,146,147,150,151,154,156,157,159,159,161,
160,160,161,160,160,158,158,157,155,152,150,147,145,141,139,136,135,133,130,130,128,128,127,128,
128,128,129,128,130,129,131,130,130,130,128,128,126,125,122,121,117,116,112,111,108,105,104,101,
100, 99, 98, 97, 98, 98, 99,102,103,107,108,112,115,118,120,123,124,126,126,126,125,124,121,119,
116,110,107,101, 97, 92, 85, 81, 75, 71, 67, 63, 61, 59, 57, 57, 57, 57, 58, 59, 60, 62, 63, 66,
 67, 70, 71, 74, 77, 80, 82, 85, 88, 91, 94, 97,101,103,105,108,108,111,110,111,110,111,109,109,
107,107,106,105,104,101,101,100, 99, 97, 98, 96, 97, 95, 97, 98, 99,101,103,106,110,112,114,117,
119,123,124,127,127,130,130,134,135,136,137,138,139,141,141,144,145,148,148,151,152,155,156,159,
162,161,165,165,166,166,167,165,166,165,163,163,160,160,156,155,150,149,144,143,138,138,135,133,
132,131,132,131,132,132,131,132,132,133,133,132,134,133,136,136,140,141,144,145,148,149,151,153,
153,155,154,156,153,154,152,150,146,145,141,139,136,135,133,133,132,132,133,132,135,134,137,136,
139,139,140,141,140,141,140,141,140,138,138,135,134,132,128,127,124,121,119,117,116,114,114,113,
112,113,111,113,112,114,117,118,122,125,129,134,138,144,149,154,159,161,166,168,171,171,173,173,
172,172,169,169,166,165,161,160,156,156,152,152,149,148,145,145,143,142,140,140,138,138,137,135,
136,134,135,133,134,133,135,134,135,136,136,136,135,136,135,136,135,136,134,136,136,136,138,139,
139,142,143,146,149,150,154,154,158,158,160,159,161,160,158,157,154,152,149,146,141,137,132,128,
121,117,111,106,101, 96, 93, 89, 87, 84, 83, 81, 81, 82, 83, 84, 87, 88, 92, 94, 99,102,104,108,
110,112,115,114,116,115,116,114,114,112,111,110,107,107,104,102,101, 99, 98, 97, 96, 94, 93, 92,
 90, 89, 87, 85, 85, 83, 83, 81, 81, 80, 80, 80, 80, 80, 81, 81, 83, 82, 84, 84, 85, 86, 86, 87,
 87, 87, 88, 89, 89, 89, 89, 89, 88, 90, 89, 91, 92, 92, 96, 97,101,104,107,111,115,119,124,127,
130,134,137,141,143,145,147,148,150,150,150,150,148,148,145,143,141,139,137,135,132,131,128,128,
126,125,124,124,123,124,125,126,128,128,131,132,135,136,137,140,140,142,142,144,145,146,145,148,
147,150,149,151,151,151,152,151,152,151,151,151,150,150,149,149,148,148,147,147,147,145,147,146,
147,146,147,147,145,146,142,142,138,136,131,129,124,122,117,116,112,111,109,107,108,108,108,111,
112,116,120,122,128,131,137,141,144,148,151,154,155,158,159,160,159,160,159,159,156,156,152,151,
147,145,140,137,131,128,123,121,118,114,113,112,111,111,111,113,114,117,119,122,125,127,130,132,
134,137,139,140,143,143,145,147,147,149,149,150,151,152,152,154,154,156,156,157,157,159,158,159,
159,160,160,160,159,159,159,158,158,157,155,155,154,151,151,148,146,143,140,138,134,132,127,126,
122,121,118,118,116,116,116,117,118,120,122,125,127,131,133,137,139,143,146,147,150,150,152,153,
152,153,152,150,149,146,144,142,139,136,132,129,125,122,119,116,115,113,111,111,109,109,108,109,
108,108,107,107,106,105,105,102,102, 99, 98, 95, 94, 92, 91, 90, 87, 87, 85, 86, 84, 86, 84, 86,
 84, 86, 85, 87, 88, 88, 90, 90, 93, 93, 97, 98,100,102,103,105,107,107,109,109,112,112,112,114,
113,115,114,114,113,112,108,106,102,100, 95, 93, 88, 87, 83, 82, 78, 78, 76, 77, 76, 78, 79, 82,
 84, 88, 91, 95,100,103,109,113,119,122,128,131,137,141,143,147,149,153,153,157,156,158,157,158,
156,156,155,154,152,151,150,150,149,147,148,145,146,143,142,141,140,139,137,136,134,134,132,132,
129,129,126,127,124,124,123,122,122,122,122,123,122,123,122,124,125,125,127,128,129,132,135,139,
143,145,150,152,156,158,162,163,165,165,166,166,164,164,160,157,154,149,145,140,135,131,125,121,
116,114,112,108,108,106,108,106,107,109,109,111,112,114,115,118,119,122,124,126,129,130,133,134,
136,136,137,137,137,136,136,135,134,133,131,131,130,130,130,129,132,131,134,134,137,139,141,142,
145,145,147,148,149,150,150,150,149,150,147,148,145,144,142,140,139,136,135,134,132,131,129,129,
127,128,127,128,129,129,130,132,133,136,138,141,143,146,149,151,155,156,159,161,161,163,162,163,
161,162,159,159,156,153,151,148,147,144,143,141,138,138,136,137,136,136,136,135,136,135,136,134,
135,134,134,132,133,132,129,129,126,125,122,121,118,117,114,114,112,110,108,109,108,109,110,111,
113,115,117,118,122,122,125,125,128,128,130,129,130,130,128,128,127,125,125,122,121,119,115,114,
109,108,103,101, 96, 94, 89, 88, 84, 83, 81, 79, 78, 76, 76, 74, 75, 74, 76, 77, 80, 81, 85, 87,
 91, 93, 98,101,106,110,113,116,118,121,121,123,123,122,122,121,120,119,116,115,113,111,110,108,
108,106,107,105,107,106,107,108,108,110,112,112,115,117,118,122,123,126,127,129,129,131,130,132,
131,132,130,132,130,131,130,131,130,131,132,132,134,134,137,137,140,140,144,144,148,149,150,152,
152,154,154,156,156,157,156,158,156,155,154,151,149,146,143,141,136,133,129,127,123,121,118,117,
116,113,114,112,115,115,116,118,121,122,126,128,131,134,136,138,139,140,140,141,140,140,137,137,
135,134,133,131,131,129,129,128,127,128,127,128,128,128,128,129,130,131,131,132,132,134,134,136,
135,136,135,136,133,133,130,129,125,123,119,117,113,111,107,106,103,102,100,101,100,102,102,105,
107,109,114,116,121,124,130,133,138,141,146,150,152,155,157,160,160,163,162,164,164,163,163,161,
159,157,155,153,149,148,146,142,141,138,137,134,134,132,132,130,131,131,130,132,132,132,133,133,
135,135,134,136,136,135,136,136,135,136,134,136,135,136,136,138,138,140,140,143,144,145,148,148,
151,152,153,155,156,156,157,156,157,155,154,152,150,148,143,141,136,134,128,126,121,117,114,110,
108,106,103,103,101,102,101, 99,100, 98, 99, 98,100, 99,101,101,104,104,107,107,110,111,114,114,
117,119,119,121,120,122,122,122,122,121,121,121,119,118,116,114,112,109,106,105,103,102,101, 98,
 99, 96, 97, 96, 98, 97, 99, 98,100,101,101,103,104,103,103,102,102,100,100, 98, 98, 96, 95, 96,
 95, 94, 95, 95, 97, 96, 99,100,102,105,109,110,115,118,123,126,132,134,139,143,146,149,150,154,
154,157,156,157,156,155,154,152,149,146,145,142,139,138,135,134,131,130,128,128,126,126,125,124,
125,124,126,126,129,130,133,134,137,138,141,143,144,146,147,147,148,148,148,147,147,146,146,144,
144,142,142,141,140,140,140,141,141,142,142,144,146,146,148,148,149,149,149,149,146,145,141,140,
136,134,130,126,123,118,116,112,110,107,106,104,102,101,101,100,102,101,104,106,109,112,115,119,
122,127,130,135,138,141,145,146,149,150,150,150,150,149,146,145,141,139,134,132,128,125,121,119,
117,115,113,113,111,111,110,112,111,113,114,115,117,118,121,122,125,127,128,129,132,133,135,136,
138,138,139,139,139,140,139,140,141,139,141,140,141,141,143,142,144,145,146,148,148,150,150,152,
152,154,154,154,155,153,153,152,151,149,147,143,142,138,136,132,130,126,125,121,120,118,118,117,
116,117,118,117,120,121,122,124,127,127,131,132,135,136,137,139,138,140,140,139,139,139,137,138,
136,137,136,134,134,132,132,131,128,127,125,124,122,120,118,117,116,114,112,111,109,108,106,106,
105,103,104,102,103,102,102,101,102,101,101,101, 99,100, 99, 98, 98, 97, 96, 97, 95, 96, 95, 96,
 96, 97, 98, 99,100,103,104,107,109,112,116,117,121,122,125,126,127,126,127,126,126,124,123,122,
119,116,112,110,106,102,100, 96, 94, 92, 91, 89, 89, 88, 89, 89, 90, 91, 93, 96, 99,103,107,112,
116,120,125,128,133,137,139,143,144,148,149,152,152,154,154,156,156,155,156,155,155,154,152,152,
150,150,148,147,147,145,146,145,144,145,144,145,144,146,145,145,145,144,144,144,141,141,138,137,
134,131,130,126,125,122,122,120,121,119,121,121,123,125,127,131,133,136,141,143,147,150,151,155,
156,159,158,160,159,160,159,157,156,153,151,147,145,141,136,133,130,125,123,119,116,114,112,111,
109,109,109,108,110,109,111,111,114,116,116,119,119,122,122,124,123,125,124,125,124,125,125,123,
124,123,124,124,123,125,125,125,126,126,128,128,131,131,133,135,135,137,139,139,142,142,144,145,
145,147,147,146,146,145,145,143,142,141,138,137,134,133,131,129,128,126,124,125,125,124,124,125,
125,127,127,130,131,134,136,137,140,142,145,147,147,150,150,151,153,153,154,154,152,153,152,150,
150,149,146,147,145,145,143,144,142,143,141,141,140,140,138,137,136,134,131,130,128,127,125,124,
122,122,119,120,118,117,117,115,115,114,115,115,113,115,114,115,114,115,115,116,116,115,117,116,
118,117,119,118,120,121,121,122,122,124,124,123,124,123,123,123,121,121,117,117,113,112,108,106,
101,100, 96, 94, 91, 90, 87, 86, 85, 83, 84, 82, 84, 83, 86, 86, 90, 92, 94, 97, 99,102,104,107,
108,111,112,112,114,114,115,114,115,114,114,112,112,110,110,109,108,108,107,107,108,107,109,110,
110,112,113,115,117,117,120,120,123,123,126,127,129,129,131,132,133,133,134,134,134,133,133,134,
132,133,133,132,131,132,131,132,133,132,135,134,137,137,141,142,145,147,150,152,153,157,156,159,
158,159,157,157,154,153,150,148,144,143,139,137,136,132,132,130,129,129,128,128,128,128,128,128,
129,129,130,130,133,134,134,136,136,138,138,138,138,138,137,137,136,135,133,133,131,132,131,129,
130,128,129,128,129,129,130,131,131,132,132,134,135,134,135,135,136,136,134,135,134,133,132,131,
128,128,125,124,121,120,117,117,114,113,112,111,111,110,111,110,112,112,114,114,117,118,120,123,
125,128,131,134,137,138,142,143,146,147,149,149,151,151,151,152,151,151,149,149,148,147,146,144,
143,141,141,139,139,137,137,136,134,134,132,133,132,132,131,132,132,133,132,133,133,132,133,132,
133,132,132,132,133,133,135,135,137,138,141,142,145,146,147,149,149,150,151,150,151,149,150,148,
149,147,147,146,144,143,141,140,138,137,134,134,131,131,128,128,125,125,121,121,119,117,116,114,
114,111,111,109,109,107,108,106,106,106,107,108,108,110,111,113,115,115,118,118,120,121,120,122,
121,122,121,122,119,120,117,118,115,115,113,111,111,108,108,107,105,105,105,102,104,101,103,102,
102,102,101,102,102,101,101,101,100, 99, 99, 97, 96, 95, 94, 93, 91, 91, 89, 90, 90, 91, 91, 94,
 95, 96, 99,100,104,106,108,111,113,117,119,123,125,129,131,134,136,138,140,142,142,144,143,144,
143,144,141,141,138,138,136,133,132,129,128,125,125,123,121,121,120,121,121,121,123,123,126,127,
128,131,131,133,133,135,134,136,135,136,135,135,136,135,136,135,137,137,137,138,138,140,141,140,
142,142,142,144,143,144,144,145,144,145,144,145,145,143,143,142,141,139,137,135,133,130,129,125,
124,122,119,118,115,115,113,114,114,113,114,115,115,117,118,120,120,123,125,125,128,128,131,131,
134,134,136,136,136,137,137,138,138,137,137,135,135,133,133,131,131,130,128,128,126,125,126,124,
124,123,123,122,123,122,124,122,124,124,126,125,127,127,128,128,130,130,130,131,131,133,132,134,
134,136,136,138,139,139,140,141,142,143,143,145,145,147,147,148,149,150,150,151,150,150,151,149,
150,148,147,146,144,144,142,143,141,141,139,140,138,140,138,139,138,139,138,139,138,139,138,137,
137,136,136,134,135,133,134,133,133,133,133,134,134,133,135,134,136,137,136,138,138,138,139,138,
138,137,137,136,135,133,133,130,130,127,127,125,123,122,121,120,118,118,117,117,117,115,116,115,
115,115,113,114,112,113,111,110,110,108,108,107,107,106,106,105,106,105,106,105,107,106,108,107,
110,109,112,113,114,116,117,119,119,121,121,120,121,120,119,118,117,115,114,112,111,110,107,107,
104,104,103,101,101, 99,100, 99, 98, 99, 99,100,100,101,103,103,106,106,110,111,115,117,118,122,
124,126,129,130,132,134,134,137,137,137,138,138,138,137,136,137,137,136,137,135,137,136,137,137,
137,138,137,137,137,136,136,135,134,132,132,130,130,127,127,125,124,122,122,121,121,121,119,120,
119,121,121,123,123,125,126,126,129,129,132,132,135,136,139,139,142,142,144,143,145,144,145,143,
143,141,141,140,137,137,134,134,131,131,128,128,127,127,125,125,123,124,122,123,121,121,120,120,
120,118,119,117,119,118,118,117,118,117,118,117,118,118,119,119,118,120,120,121,122,122,124,124,
126,126,128,128,130,131,133,134,135,134,136,136,138,137,138,137,138,137,138,136,137,135,136,135,
135,134,133,132,132,132,131,131,129,128,128,127,128,127,128,129,129,130,130,131,131,133,134,133,
136,135,137,136,139,138,140,140,142,141,143,143,145,146,147,148,150,150,152,153,153,154,153,155,
153,154,152,153,151,150,147,146,144,142,140,139,137,135,133,132,130,129,127,128,126,126,126,126,
126,126,124,125,124,125,123,124,123,124,123,125,125,125,124,126,125,126,127,126,128,128,129,130,
130,131,130,130,131,129,130,129,128,127,126,124,124,122,121,118,117,115,114,112,109,109,106,106,
104,104,104,102,103,102,103,103,104,103,105,105,107,106,108,109,109,110,110,109,111,110,111,111,
112,112,112,111,112,112,113,113,114,113,115,115,116,115,117,117,117,118,119,118,120,119,121,121,
123,122,124,125,124,126,125,127,127,126,127,125,126,124,124,123,123,121,121,120,121,122,121,123,
124,125,126,128,128,131,131,134,134,136,136,138,138,139,139,139,138,139,138,138,137,137,136,135,
135,134,134,133,131,132,131,130,130,129,130,129,129,129,129,130,130,129,129,130,130,131,130,131,
131,129,130,129,129,128,127,127,127,125,126,124,125,124,125,124,126,125,127,127,128,129,128,130,
129,131,130,132,131,132,132,133,132,132,131,132,131,131,129,130,128,128,127,126,124,124,122,122,
120,118,118,116,116,115,116,115,116,116,117,118,117,119,119,121,122,121,124,124,127,128,130,130,
133,134,136,138,138,140,140,142,142,142,143,142,142,143,141,142,141,141,140,139,139,137,137,136,
136,135,133,133,133,130,131,129,129,128,127,128,126,128,127,129,128,130,130,133,133,136,135,138,
138,140,140,142,143,144,144,144,143,143,143,141,142,139,140,139,138,138,137,138,137,137,137,138,
136,138,136,138,136,137,136,135,135,134,133,131,131,129,128,125,124,122,121,120,118,117,117,115,
116,114,116,115,116,115,117,116,118,119,119,122,122,124,125,125,126,127,128,128,127,128,126,126,
125,124,124,123,121,121,120,119,118,118,117,117,116,116,116,116,115,116,114,115,113,114,113,113,
112,113,111,112,110,111,111,109,110,109,109,108,109,108,109,107,108,107,109,108,108,110,111,112,
113,115,116,119,122,123,126,128,131,132,135,136,138,138,140,140,139,140,139,139,136,137,135,133,
133,131,131,130,128,128,127,127,125,126,125,125,124,125,124,124,123,124,124,123,125,124,125,125,
126,126,128,128,129,130,130,132,131,133,133,135,135,136,137,137,138,137,139,138,139,139,140,139,
140,139,140,139,139,138,138,136,136,135,134,134,132,132,130,130,128,129,126,127,126,127,126,125,
125,124,124,124,124,122,123,122,123,121,123,123,124,124,125,125,126,126,128,128,129,130,130,132,
132,132,133,132,133,133,134,133,134,134,133,134,132,133,131,131,130,129,128,127,126,126,125,125,
125,124,124,124,124,123,125,124,126,126,126,127,127,129,128,130,130,130,131,132,133,134,134,135,
134,136,135,136,136,136,137,135,137,136,135,136,135,136,136,135,136,135,136,135,136,137,136,138,
137,139,138,141,139,141,140,141,139,140,138,137,136,134,133,129,130,126,127,125,123,123,122,122,
122,122,121,123,122,125,125,127,127,130,130,130,132,132,133,133,133,133,132,133,131,132,130,130,
129,128,128,126,126,123,123,121,122,120,121,119,120,120,118,119,118,119,119,119,117,119,117,118,
116,117,114,115,114,112,113,111,112,110,111,110,111,110,111,111,112,112,113,112,114,115,115,116,
116,117,117,117,118,117,119,118,119,119,118,119,118,119,118,119,117,117,115,115,113,113,111,111,
109,109,108,109,109,108,110,110,112,112,115,115,117,119,120,122,123,125,125,127,127,129,130,131,
132,133,133,134,135,136,135,137,137,137,138,138,139,138,139,138,137,138,137,137,136,136,135,135,
134,132,133,131,132,131,130,131,129,130,128,130,128,129,128,129,129,129,130,129,129,131,130,131,
131,132,132,133,134,133,134,134,133,134,133,133,134,133,134,133,134,135,134,136,135,137,136,138,
138,138,139,138,139,138,138,137,137,136,134,133,133,130,130,128,129,127,127,124,125,122,123,121,
121,121,120,121,120,120,122,122,123,124,125,126,128,129,130,132,132,134,133,135,135,136,135,136,
136,136,136,136,136,136,135,135,136,134,135,133,134,134,134,134,133,134,134,135,134,135,135,135,
136,136,136,137,136,136,136,134,135,133,134,131,132,131,129,129,127,127,126,125,125,125,125,126,
126,129,129,132,132,136,136,140,140,144,144,148,147,149,148,150,149,147,148,146,144,142,141,137,
137,133,133,130,130,127,127,125,125,123,124,123,121,122,121,122,120,122,121,122,122,122,123,124,
122,124,124,124,123,124,123,124,123,123,124,123,124,122,124,122,124,122,124,124,123,124,124,124,
124,124,124,123,124,123,123,122,122,122,120,120,118,118,117,116,115,114,113,112,112,111,109,109,
108,107,107,105,106,103,104,104,103,104,103,104,104,106,106,107,109,109,111,113,112,114,115,115,
116,115,116,117,116,116,116,117,116,117,118,117,119,119,118,119,119,120,120,119,120,119,120,120,
120,119,120,120,121,120,121,123,123,123,124,124,125,125,127,126,128,127,129,129,128,129,129,129,
129,129,129,128,129,128,129,128,130,130,131,131,131,131,133,134,134,135,136,136,137,138,139,139,
140,141,141,140,141,140,140,138,139,138,137,136,134,133,131,130,129,127,126,125,124,124,123,123,
124,124,126,126,127,128,129,130,132,132,134,135,136,136,137,137,138,138,138,138,137,137,136,136,
135,132,133,131,131,130,128,128,126,127,126,127,127,127,127,128,128,129,129,130,130,130,131,130,
131,131,130,131,130,130,130,130,129,129,129,128,127,127,127,126,127,126,127,127,128,128,129,132,
131,134,135,136,138,139,140,143,142,145,144,146,145,146,146,145,144,142,141,139,137,135,134,131,
131,128,128,126,127,126,126,126,127,127,129,130,132,133,135,137,137,139,139,141,140,140,141,140,
141,139,140,138,139,138,138,136,136,135,135,132,133,131,132,130,131,129,130,129,129,128,129,129,
129,129,128,130,128,129,127,128,127,127,126,124,124,122,123,121,121,119,120,119,117,117,116,116,
115,116,114,115,114,115,114,115,114,115,114,116,116,116,117,118,119,119,120,120,122,122,123,122,
123,123,124,122,123,121,120,119,117,117,115,115,114,112,112,111,110,111,109,110,110,110,109,110,
109,110,109,110,109,109,108,109,108,110,109,111,111,112,112,114,115,116,117,118,118,120,120,121,
121,122,122,123,123,124,123,125,125,125,127,127,128,128,130,130,131,132,131,132,131,132,132,130,
131,129,129,127,128,126,125,124,123,123,121,121,120,120,120,119,120,119,121,121,123,123,125,127,
127,130,130,133,134,136,138,139,141,141,143,142,144,144,143,142,142,139,140,137,137,134,135,132,
133,131,131,129,130,128,129,128,129,130,128,130,129,131,130,131,130,131,130,131,130,131,130,131,
130,130,129,129,128,127,128,126,125,125,125,125,125,126,126,126,127,128,127,130,129,132,132,133,
134,136,135,138,137,139,138,139,138,139,139,137,138,136,135,134,133,132,132,130,130,127,128,126,
127,126,125,126,126,126,128,128,130,131,133,135,135,137,137,139,138,140,139,141,140,140,139,139,
138,138,136,136,134,134,133,131,132,132,132,132,131,133,133,135,134,137,137,138,139,140,140,140,
140,140,139,140,138,138,136,136,135,134,133,132,131,130,129,128,127,126,125,124,123,124,124,124,
124,124,123,125,124,126,125,127,128,128,129,129,130,129,131,131,131,130,131,130,131,129,130,129,
129,128,127,126,125,124,122,122,120,120,118,118,116,116,114,114,113,114,112,114,112,114,114,114,
115,115,116,116,117,118,117,118,118,118,118,118,118,118,118,116,118,116,117,116,117,116,117,116,
117,117,115,117,115,116,115,116,115,115,115,114,115,116,114,116,115,117,117,116,118,117,118,117,
119,117,117,118,118,117,118,116,117,116,117,116,118,118,118,120,120,123,123,124,125,126,128,129,
130,132,133,134,135,136,136,136,135,136,136,135,134,134,132,132,130,130,128,128,126,126,124,124,
124,122,123,123,124,125,124,127,126,129,128,131,130,132,133,133,134,133,135,135,134,134,134,134,
133,133,133,133,133,131,132,131,132,131,132,131,132,132,133,132,133,133,134,134,135,136,135,136,
135,136,136,134,135,134,132,132,130,130,128,127,127,124,125,122,123,121,121,120,120,119,119,119,
120,120,121,123,123,124,126,126,128,129,129,131,130,132,133,133,135,134,136,135,135,135,134,134,
134,134,133,133,132,133,132,132,131,133,132,133,132,134,133,135,135,135,136,136,137,136,136,136,
135,134,133,132,132,129,129,127,127,126,125,125,125,126,126,127,128,130,130,132,132,135,136,137,
139,139,140,142,142,143,143,144,144,144,143,143,142,142,141,139,140,137,138,135,135,133,133,130,
131,129,129,127,127,125,126,125,124,125,123,125,123,125,124,125,124,124,124,123,124,123,125,124,
124,125,124,126,125,126,126,126,127,126,127,126,127,125,126,124,125,124,123,124,122,123,122,123,
121,122,122,121,122,121,121,121,119,120,119,119,117,117,117,115,116,113,114,113,112,113,113,111,
113,112,112,111,112,112,113,113,112,114,113,114,113,115,114,115,114,116,116,118,119,120,121,122,
123,123,124,124,125,124,125,125,124,125,123,124,122,123,121,122,121,122,121,122,121,123,122,124,
123,125,125,126,126,126,127,128,128,128,128,128,129,130,129,130,130,130,129,130,129,129,129,128,
128,127,127,126,127,126,127,127,129,129,131,132,131,133,132,135,135,135,136,136,138,138,136,136,
135,133,134,133,135,134,135,135,134,133,132,130,128,128,128,126,127,125,125,126,125,125,126,126,
127,127,129,129,130,131,131,132,132,133,132,133,133,131,131,129,130,129,128,129,129,127,128,126,
126,124,124,122,122,122,120,122,122,122,123,123,125,127,127,130,130,133,135,135,137,136,138,138,
137,138,139,138,140,141,143,143,145,143,144,142,142,140,139,140,139,141,140,141,140,137,136,132,
131,128,128,126,126,125,127,127,129,129,131,130,132,131,133,132,134,135,135,138,138,140,143,144,
146,146,147,147,147,147,148,148,148,148,147,144,143,140,139,137,137,136,137,136,137,136,136,135,
133,129,129,126,122,120,116,114,111,108,107,105,104,104,102,103,102,100, 99, 98, 96, 96, 94, 95,
 95, 93, 94, 93, 91, 92, 90, 91, 91, 93, 93, 93, 91, 91, 89, 86, 85, 82, 82, 80, 81, 79, 81, 82,
 82, 84, 85, 87, 89, 91, 92, 95, 97, 99,100,104,106,109,111,113,115,115,117,116,118,118,117,118,
117,119,119,118,120,119,120,121,121,121,121,122,122,125,127,132,136,140,143,147,149,152,155,156,
158,159,160,160,161,159,159,156,156,154,154,152,152,152,151,151,150,150,147,146,142,138,136,131,
128,124,120,119,115,115,112,112,110,110,109,109,109,109,111,111,113,114,116,117,117,119,119,121,
122,122,124,123,125,125,123,123,121,120,118,115,114,112,112,113,114,114,117,118,121,124,125,127,
129,131,134,136,140,143,146,148,151,151,153,152,153,152,153,154,154,155,155,157,158,158,159,159,
160,160,161,161,162,161,160,161,159,160,158,159,158,159,157,158,156,157,157,156,158,158,160,158,
158,156,153,151,149,149,149,149,151,152,155,157,159,159,161,161,164,166,169,173,174,178,179,181,
180,180,177,175,171,166,163,156,153,148,143,140,136,133,130,129,127,127,126,127,128,130,131,135,
136,140,141,145,146,148,150,151,153,154,157,158,161,161,161,161,161,159,156,154,151,149,145,144,
142,141,140,137,137,134,133,131,128,125,120,119,115,114,111,107,104, 99, 96, 93, 89, 88, 85, 85,
 85, 84, 83, 82, 81, 79, 78, 76, 75, 73, 72, 71, 70, 70, 70, 70, 71, 71, 71, 70, 70, 68, 69, 68,
 69, 69, 71, 72, 72, 75, 74, 76, 75, 77, 76, 77, 76, 78, 79, 80, 80, 83, 86, 87, 90, 92, 93, 95,
 96, 98, 99,101,101,101,101,100,100, 98, 96, 95, 92, 92, 90, 91, 92, 93, 95, 97,100,102,106,108,
112,115,118,122,124,129,133,135,139,139,142,142,144,144,145,144,145,144,145,146,145,146,144,144,
141,140,137,136,133,132,130,128,127,127,124,125,122,122,119,117,114,112,109,108,107,104,105,102,
103,102,103,104,105,109,111,116,119,123,125,128,129,128,128,126,125,123,120,121,120,118,119,118,
117,118,117,118,119,118,119,118,119,117,117,116,115,115,114,116,115,116,117,117,119,121,122,127,
130,133,137,139,141,143,143,143,145,146,149,150,153,155,157,158,157,158,159,160,161,162,163,164,
164,165,164,164,164,162,162,161,160,162,162,163,165,166,168,169,171,172,171,172,170,170,169,170,
170,170,173,173,176,176,176,177,176,176,174,174,172,172,171,168,166,162,159,155,152,147,144,141,
140,139,139,139,141,142,144,145,148,149,151,151,154,153,157,157,161,162,163,164,163,164,163,164,
162,164,163,164,164,164,164,164,162,161,159,158,155,153,149,146,144,140,138,134,129,126,120,116,
112,106,104,100, 99, 95, 95, 92, 89, 87, 83, 81, 78, 77, 74, 75, 75, 75, 77, 79, 81, 83, 86, 87,
 89, 90, 89, 89, 89, 87, 87, 85, 85, 83, 84, 82, 83, 81, 80, 80, 79, 79, 79, 78, 79, 79, 79, 78,
 79, 79, 80, 80, 82, 83, 84, 89, 92, 97,100,106,108,113,115,116,118,117,118,116,116,114,114,111,
110,108,106,106,106,107,108,110,113,115,119,122,126,129,131,132,134,134,135,135,137,138,138,140,
140,143,143,145,145,144,145,143,144,141,141,137,136,132,131,128,124,121,117,115,111,109,106,105,
103,100, 98, 95, 93, 91, 89, 90, 89, 92, 94, 96,100,103,107,110,115,119,124,126,129,130,132,131,
133,131,132,131,129,129,127,126,123,122,119,119,117,118,117,119,119,118,118,117,117,117,117,117,
118,118,120,120,123,124,125,124,126,126,129,131,133,135,137,137,140,140,143,143,142,143,143,144,
145,146,148,149,152,154,157,159,159,161,160,159,159,159,160,162,162,164,164,166,166,166,164,163,
161,161,159,159,157,157,156,156,155,157,157,159,159,160,162,164,166,168,171,174,174,176,175,175,
174,170,168,165,161,159,155,153,149,147,144,142,138,137,135,134,134,134,133,135,136,140,141,145,
145,149,149,152,154,156,159,160,163,164,166,166,167,165,164,163,162,162,162,161,159,159,156,155,
152,150,147,144,142,139,137,134,133,130,129,127,125,122,121,118,114,111,107,105,101, 98, 95, 94,
 91, 92, 90, 91, 90, 91, 89, 90, 89, 89, 89, 87, 88, 86, 87, 86, 84, 84, 81, 82, 80, 80, 79, 79,
 80, 79, 79, 77, 78, 76, 77, 77, 76, 77, 77, 79, 80, 82, 84, 87, 88, 92, 95, 96,100,101,104,105,
106,107,107,107,106,105,102,101, 98, 97, 96, 94, 94, 93, 95, 97, 98,102,105,107,111,113,116,118,
121,124,125,128,130,130,132,132,134,135,135,138,141,142,145,145,147,147,147,146,146,144,144,143,
142,142,139,139,137,137,134,133,130,129,125,122,119,114,111,107,107,104,105,103,105,104,107,108,
111,113,118,120,125,128,132,134,135,137,136,137,134,133,132,129,127,124,122,119,117,113,112,109,
107,105,104,102,101,101,100,101,101,101,104,103,106,107,108,111,114,119,123,129,133,136,140,142,
143,142,142,140,139,137,135,134,132,131,129,129,127,126,125,124,123,123,123,124,125,128,132,134,
139,142,146,150,152,156,159,163,165,169,170,172,172,171,169,166,164,161,159,156,155,153,154,154,
157,158,158,160,161,162,164,164,167,169,170,173,175,175,176,175,175,174,172,172,170,168,167,164,
160,157,153,148,144,140,136,133,130,129,127,125,125,123,123,121,122,121,123,123,127,129,133,137,
142,146,152,156,161,165,169,172,172,173,170,169,166,163,157,154,148,143,138,130,125,117,112,105,
100, 95, 91, 85, 83, 78, 78, 75, 76, 76, 78, 81, 84, 88, 91, 97,100,105,108,112,113,116,116,114,
113,109,107,103, 99, 96, 90, 87, 81, 78, 75, 72, 70, 67, 65, 65, 64, 65, 67, 69, 72, 75, 77, 81,
 83, 89, 92, 98,102,108,111,117,119,123,122,123,120,119,115,112,108,103,100, 95, 90, 87, 84, 80,
 80, 79, 82, 84, 89, 94, 99,105,111,116,124,129,136,141,147,151,157,161,165,167,170,172,171,172,
170,169,165,163,158,155,151,149,146,143,142,138,137,134,132,130,128,127,126,125,126,125,125,124,
124,122,122,124,124,125,127,128,130,132,132,135,134,136,135,136,136,135,136,136,137,137,136,137,
137,135,136,134,133,133,134,134,135,137,138,141,141,144,143,145,144,142,140,138,134,132,128,126,
123,119,117,114,112,109,104,102,100,100,100,102,103,106,109,113,118,121,125,127,131,133,138,140,
145,147,151,153,155,156,157,157,157,156,153,153,151,149,148,146,143,140,137,133,130,128,125,125,
124,126,128,132,136,141,145,151,156,162,167,175,179,186,189,193,195,196,196,196,192,189,184,180,
175,169,163,155,149,141,136,128,124,118,117,113,114,114,116,119,124,128,134,139,146,151,155,161,
163,167,169,170,172,172,173,172,169,168,164,162,158,153,149,144,140,134,131,126,121,117,113,111,
108,107,105,105,104,105,105,108,108,110,110,111,111,110,110,108,107,104,101, 97, 95, 90, 88, 84,
 82, 78, 77, 73, 72, 72, 70, 71, 72, 72, 75, 76, 77, 79, 79, 81, 82, 85, 87, 89, 92, 95, 96, 98,
 97, 98, 96, 96, 94, 93, 89, 89, 85, 84, 80, 79, 76, 75, 75, 75, 77, 77, 80, 81, 84, 85, 88, 90,
 92, 94, 96, 96, 98, 98,101,101,104,106,107,112,115,118,121,123,125,127,127,129,128,130,130,132,
132,131,132,130,131,129,131,129,132,131,135,135,139,141,143,147,150,152,156,157,160,163,164,165,
164,163,161,158,155,150,145,139,134,129,123,120,116,114,112,111,110,109,109,111,112,115,119,121,
127,130,137,141,147,150,154,155,158,157,158,158,156,156,153,152,148,147,143,140,134,131,126,123,
119,117,115,112,112,109,111,110,110,108,110,108,110,111,111,114,115,119,121,125,127,132,132,136,
136,138,137,139,138,139,138,136,135,132,131,127,126,124,124,124,125,127,129,132,135,138,140,143,
144,147,148,151,152,152,154,154,155,154,154,153,153,152,152,152,153,154,153,153,154,153,154,154,
155,155,157,157,160,161,163,165,168,169,170,172,171,171,171,168,168,167,165,165,163,163,162,160,
160,158,156,155,150,149,144,143,138,137,133,130,127,126,124,124,125,125,125,127,129,133,135,138,
140,143,145,146,149,150,152,152,152,152,150,150,148,145,142,138,134,129,126,120,116,110,107,101,
 99, 94, 93, 88, 88, 84, 85, 84, 85, 86, 88, 91, 92, 96, 97,101,103,105,107,107,108,107,106,104,
101, 97, 93, 88, 83, 78, 73, 67, 63, 58, 55, 51, 50, 47, 48, 47, 49, 51, 54, 58, 62, 67, 71, 78,
 85, 93, 99,107,113,118,122,125,127,127,126,124,122,119,116,112,108,102, 98, 93, 90, 86, 85, 83,
 82, 83, 83, 87, 90, 95,100,103,109,113,119,123,130,135,140,144,148,151,154,156,158,158,159,159,
160,159,160,160,158,158,156,155,152,150,147,143,141,139,136,136,135,135,135,135,137,137,139,140,
142,144,146,149,150,154,155,158,158,159,157,158,155,152,150,146,143,139,137,135,132,130,127,126,
124,123,121,121,121,122,123,126,129,131,136,138,141,144,145,148,149,149,150,149,149,147,145,142,
139,134,131,127,124,121,119,116,116,115,116,115,116,116,116,117,117,119,120,122,124,126,128,131,
134,138,140,143,146,148,150,150,150,150,148,146,142,139,134,128,125,119,117,113,112,112,112,115,
117,121,125,130,135,141,147,153,159,166,172,179,184,190,193,198,199,199,198,195,190,186,180,174,
167,160,151,144,136,131,126,120,118,114,114,113,113,112,115,116,120,122,127,130,135,139,143,148,
151,155,159,161,165,167,166,167,165,165,163,160,158,155,153,149,147,143,141,137,134,132,129,128,
126,125,124,124,123,123,121,122,120,121,121,119,120,118,117,116,112,111,107,105,100, 98, 94, 89,
 87, 82, 80, 77, 74, 73, 70, 70, 69, 69, 69, 69, 70, 70, 73, 74, 78, 80, 82, 85, 86, 89, 90, 91,
 93, 92, 93, 93, 93, 95, 94, 95, 94, 95, 94, 93, 93, 91, 91, 90, 89, 88, 87, 88, 87, 88, 87, 86,
 88, 86, 88, 87, 89, 91, 92, 95, 97, 99,103,104,107,109,111,113,116,117,119,120,121,121,122,121,
121,119,119,117,119,120,122,124,130,133,139,144,149,154,158,162,166,168,170,173,175,176,175,174,
173,169,166,160,155,148,142,136,131,125,122,117,115,111,110,107,108,107,106,107,109,112,116,120,
125,130,134,139,145,149,153,156,160,161,164,165,167,168,167,165,162,159,157,153,151,147,145,141,
139,135,133,129,125,123,120,116,115,112,112,109,111,109,112,113,116,117,121,122,126,128,129,131,
131,132,129,129,127,126,123,122,119,119,117,118,118,120,121,122,125,126,129,130,131,132,132,133,
133,135,136,139,139,142,142,145,145,147,148,149,149,149,150,150,150,150,150,149,149,149,149,148,
148,147,145,145,144,144,143,143,142,142,142,143,143,144,145,146,148,148,151,151,153,152,153,151,
151,150,149,149,147,146,144,144,142,142,140,138,139,138,139,138,140,140,141,143,143,146,147,149,
151,154,156,157,159,159,160,160,158,157,153,151,147,142,135,131,124,120,114,110,104,101, 96, 93,
 89, 88, 86, 84, 84, 83, 86, 87, 89, 93, 96,100,104,107,112,116,118,122,123,127,128,130,129,129,
126,123,117,112,105, 98, 92, 84, 78, 73, 67, 63, 60, 56, 55, 54, 55, 57, 59, 62, 67, 70, 76, 81,
 87, 92, 98,103,106,109,112,113,116,116,117,115,115,112,110,107,104,101, 96, 95, 93, 92, 93, 95,
 96,100,103,107,110,112,117,120,123,125,130,133,136,141,144,149,153,154,158,159,161,161,163,164,
164,164,163,162,160,158,154,151,145,142,136,133,128,126,124,122,122,121,123,123,125,127,130,134,
138,142,147,150,155,158,162,163,166,168,169,170,169,169,167,166,164,161,158,154,151,146,144,139,
137,133,133,130,130,129,129,129,128,130,130,131,131,132,131,132,130,129,128,126,125,123,122,120,
117,117,115,115,114,115,114,116,115,116,115,115,115,116,117,118,120,124,126,130,133,138,140,144,
148,149,152,152,153,152,152,149,147,145,140,137,131,128,121,117,112,107,104,101,100, 99,100,101,
102,105,108,113,118,124,130,135,142,147,153,157,160,164,165,168,170,170,171,170,170,168,166,163,
159,156,151,149,145,141,139,134,133,129,129,127,126,127,128,129,130,133,134,137,138,140,141,143,
143,144,143,143,141,142,139,139,136,135,132,132,129,128,126,124,121,120,117,116,114,114,113,114,
114,115,116,117,119,120,122,123,126,126,129,130,132,133,131,131,130,126,125,121,118,115,110,108,
104,102, 99, 98, 95, 94, 91, 90, 87, 86, 84, 83, 82, 80, 79, 79, 77, 78, 77, 78, 77, 80, 80, 84,
 85, 88, 92, 94, 97, 98,100,100,101, 99,100, 99, 99, 98, 99, 99, 99, 99, 99, 97, 98, 96, 97, 95,
 97, 96, 98, 99,103,104,108,111,113,116,117,120,120,122,122,124,124,123,123,121,119,116,114,110,
108,105,105,104,106,107,112,115,121,125,130,136,141,147,152,158,162,167,170,174,175,177,178,177,
177,175,174,172,168,167,162,160,156,153,149,146,141,139,136,134,132,130,131,130,130,131,132,134,
135,138,140,143,144,148,149,152,153,155,156,158,158,157,157,155,154,151,150,146,144,141,137,134,
130,125,123,119,118,115,116,116,116,118,120,123,126,130,133,137,140,142,145,147,148,150,150,150,
151,150,149,147,146,143,139,137,132,130,126,124,120,119,117,114,113,111,111,109,110,109,111,111,
112,114,116,116,120,123,126,131,135,141,145,151,156,160,164,166,169,171,169,170,168,167,164,162,
160,156,155,151,150,147,146,143,143,140,141,138,139,137,136,136,134,134,132,133,131,132,131,132,
130,131,129,129,128,126,123,122,119,117,114,113,111,111,110,112,112,115,117,120,124,127,132,135,
141,144,149,152,157,159,160,161,160,160,157,154,151,146,142,137,132,126,122,116,109,104, 97, 92,
 85, 81, 76, 73, 70, 67, 67, 66, 68, 68, 72, 74, 79, 83, 87, 93, 98,102,107,110,113,115,113,114,
110,109,105,103, 99, 97, 93, 91, 88, 87, 85, 82, 82, 79, 80, 79, 81, 81, 84, 87, 89, 94, 97,102,
104,107,110,112,112,115,115,117,116,117,116,113,111,107,104,101, 97, 93, 89, 88, 87, 86, 85, 86,
 87, 87, 90, 90, 93, 96, 98,102,107,111,118,124,129,136,142,150,156,165,171,179,183,189,191,195,
194,195,192,189,186,180,176,169,162,156,149,144,138,132,130,125,124,120,120,119,118,120,120,123,
124,128,129,133,134,138,140,142,143,147,147,150,150,150,151,150,149,149,147,147,146,146,146,147,
147,147,148,148,150,149,152,152,154,154,155,155,155,156,157,157,157,157,156,154,151,149,144,141,
137,131,127,122,118,112,109,105,103, 99, 99, 97, 97, 98,100,101,104,106,111,114,119,123,129,134,
140,146,151,154,158,160,162,161,161,158,157,154,149,147,142,140,137,135,133,133,131,132,133,134,
136,136,139,140,141,143,144,147,148,151,153,154,156,157,157,159,160,159,159,157,154,152,148,143,
139,133,129,124,122,119,116,115,114,114,114,114,116,117,121,124,127,130,135,137,142,145,149,151,
155,156,159,159,161,161,162,160,159,159,155,153,149,143,139,133,128,122,117,111,108,103, 99, 97,
 94, 92, 90, 90, 89, 90, 91, 91, 93, 94, 96, 97, 99, 99,101,102,101,103,103,105,105,107,108,108,
109,110,108,109,107,104,103,100, 98, 95, 93, 92, 89, 88, 86, 85, 83, 82, 80, 80, 80, 81, 82, 83,
 84, 87, 87, 89, 89, 90, 89, 89, 87, 87, 84, 84, 82, 82, 80, 78, 77, 75, 75, 72, 73, 73, 73, 76,
 78, 81, 84, 90, 94,100,105,112,118,124,128,134,136,140,141,144,143,144,143,141,139,136,134,132,
129,129,127,129,128,130,131,131,133,133,135,137,137,140,140,142,143,142,143,143,144,143,144,144,
145,146,145,146,145,143,143,141,141,139,138,139,137,138,137,138,138,140,140,143,143,146,147,150,
151,153,157,158,162,165,167,168,171,171,172,171,171,168,167,163,160,156,150,147,141,137,131,127,
122,120,116,114,111,109,108,107,106,105,108,108,111,114,117,122,126,131,136,140,146,149,153,156,
158,161,162,164,163,165,164,163,163,162,159,158,155,153,149,146,141,138,133,130,126,122,120,117,
117,117,116,118,119,123,125,130,133,138,142,144,147,150,150,152,151,152,151,152,150,152,150,152,
151,151,150,151,150,150,150,149,148,149,149,150,150,152,152,153,154,155,157,158,158,159,160,159,
159,158,157,153,151,147,142,137,132,128,122,119,115,113,109,109,106,107,107,107,109,110,113,115,
116,120,122,125,128,129,131,132,134,135,137,137,139,139,138,138,137,133,131,128,122,119,114,111,
108,104,103, 99, 99, 97, 98, 96, 97, 96, 98, 97, 99, 99,102,102,104,103,104,102,101, 98, 95, 91,
 87, 82, 79, 75, 71, 67, 63, 61, 57, 55, 55, 54, 55, 55, 58, 59, 64, 66, 71, 74, 80, 83, 89, 93,
 98,103,106,110,113,116,120,123,124,126,126,127,126,125,124,122,120,118,114,112,107,105,100, 97,
 93, 90, 88, 86, 83, 84, 83, 85, 87, 91, 95,100,106,111,119,126,134,140,147,153,157,162,166,167,
169,168,168,165,164,161,159,155,153,149,147,143,141,138,137,136,134,135,134,136,137,139,141,142,
144,145,147,148,150,150,151,151,150,150,150,148,147,145,144,141,140,137,136,134,130,129,126,125,
123,121,121,119,121,122,124,125,129,131,135,138,141,145,147,151,152,155,156,158,158,159,157,157,
156,154,151,149,145,143,138,135,132,128,127,124,124,123,123,122,124,125,126,129,131,134,135,139,
140,142,141,142,141,140,140,138,137,136,134,133,132,131,132,131,132,131,133,133,135,136,138,140,
141,144,147,151,154,158,161,164,168,170,173,174,177,177,180,179,180,179,176,175,170,167,162,156,
152,147,142,138,132,129,124,122,119,116,114,112,111,110,110,109,111,112,114,115,119,121,126,129,
134,139,143,148,152,156,158,162,162,164,162,162,158,157,153,150,147,144,140,138,135,132,128,125,
122,117,115,111,110,107,107,106,104,103,102,100,101,100, 98, 99, 98, 99, 98, 99, 98, 99, 97, 98,
 96, 96, 93, 93, 91, 87, 86, 83, 82, 78, 78, 76, 75, 73, 74, 73, 75, 77, 78, 82, 84, 89, 91, 95,
100,102,105,108,108,110,109,110,108,107,103,102, 97, 95, 91, 86, 84, 80, 79, 77, 74, 74, 74, 74,
 74, 76, 77, 80, 82, 85, 88, 91, 93, 97, 99,103,105,108,112,113,116,117,120,122,125,127,130,132,
136,137,141,142,145,148,149,151,152,155,156,157,158,158,160,160,158,159,157,156,155,154,153,151,
150,149,148,146,145,143,141,137,135,132,130,127,123,119,118,114,113,111,111,113,113,117,119,123,
126,131,134,139,145,148,153,155,160,161,165,167,169,169,170,170,170,169,166,165,161,159,155,150,
147,142,139,134,130,125,123,119,117,114,111,109,107,107,107,107,109,110,111,114,116,120,122,127,
129,134,136,140,143,144,147,148,147,147,145,143,142,139,138,135,135,133,133,133,133,132,134,134,
136,138,140,144,146,150,153,157,159,162,164,167,168,168,168,168,166,166,163,162,158,156,152,149,
146,141,138,134,132,129,126,125,123,123,123,123,125,125,127,130,132,136,138,143,146,150,153,155,
158,159,158,159,158,157,157,155,155,154,154,152,150,149,145,143,141,137,136,133,133,130,131,129,
129,128,129,128,129,128,128,127,127,127,125,125,122,121,119,116,112,109,105,102, 98, 94, 92, 89,
 87, 87, 85, 86, 86, 88, 89, 92, 95, 97,101,103,107,108,112,113,115,115,116,115,115,113,112,110,
106,104,100, 98, 93, 91, 87, 85, 82, 80, 77, 74, 74, 71, 70, 69, 68, 68, 67, 67, 67, 68, 68, 70,
 71, 74, 78, 80, 85, 89, 93, 96,101,105,109,112,115,117,118,120,120,121,120,119,116,116,113,112,
109,109,108,106,108,108,108,111,112,115,119,121,126,129,135,140,145,148,153,155,158,159,160,160,
158,157,153,151,145,142,137,132,130,126,124,122,120,120,119,120,120,122,122,125,126,129,132,134,
138,140,145,149,152,157,160,165,167,170,171,173,172,173,172,169,167,164,161,157,154,149,146,141,
138,134,130,128,125,124,123,122,122,122,122,123,124,126,126,128,130,130,132,132,133,133,134,134,
133,131,131,130,130,129,131,131,133,135,135,138,139,141,142,143,144,145,146,146,147,147,148,148,
149,150,149,149,148,147,145,144,142,141,138,138,136,134,131,129,127,125,125,124,122,124,124,124,
127,127,131,132,136,137,141,143,146,150,154,156,161,163,167,169,171,171,172,171,171,170,170,169,
167,166,163,160,157,154,149,145,140,137,133,131,128,126,125,122,123,122,122,123,123,124,124,126,
127,129,130,133,134,137,138,138,140,139,140,140,138,138,136,136,133,132,130,128,126,123,122,119,
119,116,114,113,112,112,111,112,111,113,114,115,117,117,120,120,122,122,122,123,121,121,118,116,
113,109,104, 99, 94, 89, 82, 78, 72, 68, 62, 59, 55, 54, 52, 52, 52, 54, 56, 59, 62, 67, 71, 76,
 79, 85, 89, 92, 96, 99,100,103,104,103,105,104,105,104,104,103,104,104,105,104,106,104,105,104,
103,103,101,101,100,100,100, 99,100, 99,100,100,101,103,104,105,106,107,110,112,113,116,118,120,
124,126,129,131,134,135,138,139,139,141,141,142,142,143,143,144,146,147,148,152,153,157,159,161,
164,165,165,166,165,163,162,160,157,155,151,149,145,143,140,137,135,132,131,130,127,128,127,128,
127,128,128,129,129,131,132,132,135,136,139,141,141,144,146,146,147,147,149,148,149,149,148,149,
147,146,144,143,140,137,135,131,130,127,126,125,124,125,125,127,128,131,134,135,138,139,143,144,
146,146,148,147,147,146,145,143,142,138,136,133,131,127,125,123,120,118,116,115,114,112,113,113,
116,117,122,125,131,136,140,146,150,156,160,165,168,173,176,178,180,181,181,180,177,176,173,170,
167,163,160,156,154,151,148,146,143,140,139,135,134,131,131,129,127,128,127,128,129,128,130,130,
131,131,133,132,133,133,134,133,134,133,133,134,134,133,134,134,136,135,137,138,138,141,141,143,
145,146,146,148,148,148,149,147,147,145,144,141,139,136,133,128,125,120,117,113,108,105,101, 97,
 95, 91, 90, 87, 87, 85, 86, 85, 87, 87, 88, 88, 91, 90, 92, 92, 93, 93, 94, 93, 95, 95, 94, 95,
 94, 95, 94, 95, 94, 96, 94, 96, 95, 97, 96, 96, 94, 93, 91, 89, 87, 85, 83, 82, 80, 80, 79, 80,
 81, 83, 84, 87, 88, 92, 93, 96, 96, 99, 99, 99,100, 98, 97, 97, 96, 94, 93, 91, 89, 88, 86, 87,
 86, 87, 88, 90, 92, 95, 98,103,109,115,120,127,133,139,145,151,155,160,163,164,167,168,167,168,
166,166,163,162,157,156,152,149,144,141,135,133,129,125,123,119,118,115,115,113,114,113,115,115,
119,120,124,126,131,133,137,139,144,146,147,150,152,152,154,154,155,155,154,154,152,151,149,148,
147,146,145,146,145,146,146,147,148,147,148,146,147,145,144,143,140,139,138,135,134,132,129,128,
125,125,122,122,120,122,121,121,121,121,122,121,122,122,124,125,126,129,130,133,136,137,140,142,
144,144,147,148,151,151,154,154,156,156,157,157,157,156,156,154,154,152,153,152,152,152,151,151,
150,149,147,146,145,144,144,143,144,145,145,147,148,148,150,150,152,152,151,151,150,150,147,147,
144,144,142,140,137,138,135,136,135,134,135,134,136,136,138,139,139,141,142,145,146,148,149,152,
153,155,156,158,158,159,158,159,157,157,154,153,149,147,142,139,135,130,126,121,118,114,109,106,
102,100, 98, 95, 95, 94, 94, 95, 95, 98,100,104,106,111,114,118,122,124,127,129,129,131,131,129,
128,124,122,117,114,109,105, 99, 96, 91, 88, 84, 83, 80, 80, 80, 79, 81, 81, 82, 82, 84, 84, 84,
 84, 84, 83, 83, 82, 82, 81, 82, 81, 82, 82, 82, 83, 84, 85, 85, 87, 88, 87, 89, 88, 90, 90, 91,
 92, 92, 94, 93, 96, 96, 98, 98,100,103,104,107,108,112,115,118,121,125,127,132,133,136,137,138,
139,140,138,139,137,138,136,135,132,131,129,127,127,124,125,122,124,122,124,124,125,125,127,129,
129,131,132,134,135,137,136,139,138,140,139,141,140,140,140,140,141,141,142,142,144,145,145,146,
146,147,146,146,146,144,145,144,145,144,146,145,147,146,146,145,145,144,142,141,139,136,134,130,
127,122,119,114,112,109,106,105,103,104,105,105,108,110,113,117,119,124,127,133,137,141,146,149,
153,156,157,160,159,160,160,158,157,154,153,150,148,145,142,139,135,132,128,125,122,120,118,118,
117,118,119,122,123,127,129,133,135,139,141,144,146,149,150,152,155,156,157,159,159,160,160,160,
160,160,160,160,158,158,156,156,155,153,153,151,152,150,151,150,150,151,151,152,152,154,153,154,
154,152,152,150,149,147,146,143,142,139,138,136,133,133,132,131,131,130,130,129,131,130,132,132,
132,134,134,136,137,137,139,139,140,140,140,139,140,138,138,138,135,136,133,133,131,129,128,126,
126,124,122,122,119,119,116,115,112,110,107,105,102, 98, 96, 92, 91, 89, 86, 86, 85, 84, 85, 85,
 86, 88, 87, 89, 87, 89, 87, 87, 85, 85, 83, 83, 81, 81, 79, 80, 79, 81, 81, 84, 86, 88, 92, 94,
 98,100,104,106,110,112,115,116,119,119,120,119,117,116,112,111,107,103,101, 97, 95, 92, 91, 90,
 88, 89, 88, 89, 91, 91, 95, 96,100,103,106,110,114,118,121,126,128,133,135,140,142,145,147,149,
151,151,152,153,151,152,150,150,148,148,145,145,143,142,140,139,136,135,132,131,129,128,128,127,
129,129,132,132,135,135,137,138,138,140,139,140,139,138,137,136,133,133,130,131,129,129,129,129,
129,130,130,131,131,132,132,132,133,132,132,132,132,132,132,133,134,134,134,134,133,133,134,134,
135,135,135,137,136,136,135,134,134,133,131,129,128,125,125,122,123,121,120,120,120,118,119,117,
118,117,116,117,117,118,118,120,120,123,124,126,128,130,133,136,136,140,142,143,145,146,148,149,
151,151,153,152,155,154,157,156,159,159,162,161,163,162,164,162,162,162,159,159,157,154,152,148,
146,144,141,138,136,134,133,130,129,127,126,124,124,123,122,123,123,125,127,128,130,133,136,139,
142,145,148,152,154,158,159,162,163,164,165,164,164,163,160,160,156,153,150,146,143,140,136,132,
129,124,122,118,117,114,114,111,113,111,113,113,115,115,117,117,119,118,119,117,117,114,113,111,
108,107,103,102,100, 98, 97, 97, 95, 97, 97, 96, 98, 97,100,100,100,101,103,102,104,104,105,106,
106,107,107,108,108,109,108,109,108,110,108,110,108,109,107,108,105,104,101,100, 96, 94, 91, 89,
 86, 85, 82, 82, 81, 80, 82, 81, 84, 85, 89, 93, 96,101,106,111,114,120,123,129,131,136,139,141,
144,147,147,150,150,152,152,151,151,149,148,146,144,143,141,141,139,139,139,136,137,134,134,132,
132,130,130,129,127,128,126,127,125,126,125,126,125,125,126,127,128,129,128,129,129,130,129,130,
131,131,132,133,135,138,140,143,145,149,150,153,155,156,158,158,159,158,158,156,153,151,147,144,
139,136,131,126,123,119,115,113,110,109,108,107,107,107,107,106,109,108,111,111,113,116,117,120,
122,125,126,129,129,132,133,132,133,134,132,133,131,132,130,131,129,130,128,129,130,129,131,130,
133,133,136,137,138,140,140,142,144,144,146,146,148,147,149,149,148,149,148,149,148,147,146,144,
143,140,139,137,134,132,130,128,126,125,124,124,124,124,124,126,127,130,131,134,135,139,140,143,
144,148,148,151,152,153,152,153,152,153,152,153,152,151,150,148,147,145,145,143,140,139,137,136,
134,132,130,129,126,125,124,121,121,118,117,117,115,116,115,116,116,117,117,118,118,121,121,123,
124,124,126,125,125,125,124,122,122,119,120,118,117,117,116,116,116,117,116,117,117,116,117,116,
116,116,114,114,113,110,109,106,104,100, 98, 94, 92, 90, 87, 86, 83, 83, 83, 82, 84, 84, 86, 87,
 90, 91, 94, 95, 98,100,101,103,104,105,105,106,107,106,107,106,107,107,109,110,111,112,113,114,
115,114,116,116,118,118,121,121,123,125,125,127,129,129,131,131,133,133,135,136,136,137,137,137,
137,137,135,135,133,133,130,130,129,128,125,125,123,123,122,121,121,121,123,123,127,128,130,133,
135,138,140,143,145,148,149,152,153,154,156,158,157,159,158,159,157,158,156,154,154,151,151,148,
147,144,141,139,136,131,130,126,122,120,117,115,113,112,111,112,111,113,113,116,118,119,121,123,
125,126,129,130,132,134,136,138,138,140,139,141,140,141,141,139,140,138,138,136,134,134,133,131,
131,128,129,127,127,126,127,126,127,127,128,129,128,129,128,129,127,128,127,128,127,127,127,127,
127,128,128,130,130,133,133,135,136,139,140,142,144,145,148,149,150,152,152,154,153,155,153,155,
153,154,151,152,150,150,147,147,143,143,139,138,136,133,132,129,128,125,125,123,124,123,124,125,
126,128,128,131,131,134,134,137,138,138,139,139,139,139,137,138,136,134,133,132,129,129,127,127,
126,126,126,127,127,129,130,132,133,133,135,134,136,135,136,134,135,134,132,131,130,127,126,124,
120,119,117,114,112,111,107,106,104,103,101, 98, 98, 96, 96, 93, 93, 92, 91, 91, 92, 92, 93, 94,
 96, 97, 99,102,104,106,110,114,116,120,122,125,126,128,127,128,125,125,123,119,117,113,111,108,
105,103,100, 99, 97, 96, 96, 94, 95, 94, 96, 96, 98,100,101,104,105,108,110,111,114,116,118,120,
122,124,126,128,128,130,130,131,132,132,132,133,133,133,133,133,133,133,132,133,133,134,134,134,
136,137,139,139,141,141,142,142,143,143,141,142,140,140,138,138,137,135,134,131,131,129,127,126,
125,124,124,122,124,124,126,127,128,130,131,134,135,137,137,140,140,141,141,142,142,141,142,141,
141,140,140,138,138,135,135,133,133,131,132,130,131,130,131,130,131,130,131,130,132,131,132,132,
132,132,132,131,131,129,129,127,127,125,124,122,121,121,120,119,117,117,116,116,116,116,117,117,
118,119,120,122,123,126,127,130,132,136,139,141,143,147,147,151,151,154,153,156,156,156,155,155,
152,152,149,148,146,142,140,137,134,132,129,128,126,124,123,122,121,121,121,121,121,121,122,123,
123,126,125,128,129,130,132,134,134,137,137,140,140,143,143,145,145,147,147,148,148,148,148,147,
145,144,142,140,140,137,137,135,136,134,134,134,134,135,133,135,133,135,133,134,131,132,130,128,
127,124,124,120,119,116,114,110,110,106,106,105,104,104,103,105,105,105,108,108,111,111,113,116,
116,118,118,121,120,122,120,122,120,121,119,120,119,119,118,118,118,118,117,117,116,115,114,113,
112,109,110,107,106,104,103,102,101,100, 99, 98, 98, 97, 98, 99, 98,100, 99,102,103,103,105,105,
107,109,110,112,113,115,116,119,120,123,125,126,129,130,134,136,137,141,142,145,145,147,147,146,
147,147,145,145,142,143,141,140,137,136,133,132,130,128,125,124,121,120,118,117,115,116,115,114,
116,115,117,117,119,121,121,125,126,129,131,135,136,141,142,146,148,151,151,154,154,156,156,154,
155,152,152,149,148,144,143,140,137,135,132,129,128,126,125,124,122,123,121,123,123,122,124,123,
125,125,126,126,127,128,128,127,128,126,127,125,125,123,123,122,122,121,120,120,120,120,120,121,
122,123,125,126,128,129,130,133,133,136,138,138,140,141,143,144,144,144,143,144,143,143,142,140,
138,137,136,134,133,131,129,128,127,125,125,122,123,121,122,121,122,121,122,123,123,124,125,126,
128,129,131,131,133,134,135,136,137,137,136,137,137,135,136,134,135,134,135,134,135,135,137,138,
138,141,142,143,145,145,146,146,144,144,142,141,138,138,135,133,130,129,126,125,124,121,121,119,
118,118,117,117,118,118,118,119,119,121,121,123,123,125,126,127,129,130,131,132,133,134,135,135,
136,136,136,135,136,134,133,133,130,129,126,124,120,118,115,111,109,105,104,101,100, 99, 98, 98,
 97, 99, 99,102,102,105,106,107,110,111,113,113,115,114,115,114,115,114,114,113,113,111,111,109,
109,107,108,108,107,109,109,111,112,114,115,118,119,122,123,125,128,130,130,134,134,137,139,139,
141,141,143,143,141,141,139,138,135,134,132,128,127,124,123,120,120,118,116,116,115,116,116,118,
118,121,121,125,126,130,132,135,135,139,140,142,143,144,145,146,146,147,146,147,146,146,146,145,
145,144,143,141,142,140,140,138,139,137,138,137,136,136,135,133,133,132,130,131,128,129,127,126,
124,124,122,122,120,120,119,117,118,116,117,117,116,117,117,119,119,121,122,124,126,126,129,130,
132,133,135,136,138,138,140,140,141,140,141,139,139,136,136,133,132,129,128,125,122,121,118,117,
116,113,113,111,112,111,112,111,113,114,114,117,118,120,123,124,127,130,130,134,135,137,138,140,
140,142,142,141,142,141,141,139,140,139,137,137,136,136,135,133,134,132,133,131,131,129,130,128,
128,126,126,126,125,127,126,128,127,129,130,129,131,130,131,129,129,127,127,124,124,121,121,119,
117,117,115,115,115,116,116,118,119,122,124,126,129,131,134,136,138,141,141,143,143,145,143,144,
143,141,140,137,136,132,131,128,126,124,122,119,119,116,116,113,113,112,110,109,108,108,106,107,
105,106,105,106,105,107,106,108,108,110,111,113,115,116,118,118,121,120,123,122,124,122,124,122,
123,122,122,121,121,119,120,118,118,118,118,118,119,118,120,121,120,121,121,121,121,120,121,119,
120,119,118,118,117,118,117,118,119,119,119,120,121,121,123,125,125,128,128,131,132,135,136,138,
139,142,143,144,146,146,148,148,150,150,151,150,151,150,150,148,148,145,144,141,141,137,137,134,
134,131,131,129,129,129,128,130,129,131,130,133,133,135,136,137,139,139,141,140,142,142,141,141,
140,140,139,137,137,134,135,132,132,130,130,128,129,127,128,127,128,129,128,130,130,133,134,134,
136,136,138,139,138,139,138,138,136,136,135,132,132,128,128,125,122,121,119,116,115,112,112,110,
110,108,109,109,110,111,113,113,116,117,119,121,124,126,129,131,132,135,136,139,139,141,141,142,
141,142,141,141,139,139,139,136,137,134,134,133,131,131,128,129,126,127,127,126,127,128,127,128,
128,129,129,128,129,127,127,124,124,121,122,119,119,117,118,117,116,117,116,118,118,120,120,123,
123,126,126,128,130,130,132,133,133,134,134,134,135,135,136,135,136,135,135,134,134,133,131,131,
130,128,128,126,125,122,121,118,118,116,114,113,111,112,110,111,111,110,112,112,114,115,115,117,
117,120,120,120,122,121,122,121,121,120,119,119,117,117,115,116,114,115,115,114,115,114,116,116,
116,118,118,121,122,122,124,124,125,124,125,124,124,122,121,119,119,117,116,114,113,111,111,108,
108,105,105,103,102,101,101,100,101,101,103,104,105,108,111,113,116,119,123,126,129,132,136,139,
142,145,146,149,150,152,152,152,150,150,148,147,145,144,143,141,139,137,137,135,133,133,131,132,
130,131,130,129,130,129,130,130,129,131,129,131,131,132,132,134,135,135,137,136,138,138,140,140,
140,141,141,142,142,143,142,144,144,144,145,145,146,146,147,146,147,146,147,146,144,145,143,143,
140,140,139,137,136,134,133,130,130,127,127,125,123,122,120,120,119,117,118,116,117,116,118,117,
119,120,120,122,123,125,125,128,128,130,130,132,132,133,133,134,133,134,132,133,132,133,131,132,
132,131,131,130,131,130,131,131,130,132,131,133,132,134,134,134,135,134,134,134,133,133,131,131,
130,129,127,127,125,125,123,123,122,122,121,119,120,118,119,117,117,118,117,119,118,120,121,123,
124,126,127,131,132,136,137,139,141,141,143,143,144,143,142,141,140,137,136,132,130,126,124,120,
119,115,114,112,110,110,108,110,110,109,111,111,113,115,115,117,117,120,120,122,122,124,123,125,
124,126,125,126,126,127,127,126,127,125,126,125,125,124,123,122,121,120,119,119,117,117,115,116,
115,115,115,114,114,114,114,114,115,116,117,117,118,118,118,117,117,116,115,113,113,110,110,108,
108,106,107,106,107,106,108,108,109,109,111,113,114,115,117,118,120,122,123,125,127,127,129,129,
130,130,132,132,131,132,132,133,132,132,133,131,132,131,131,131,130,130,128,129,128,129,128,129,
129,130,130,132,131,134,133,135,135,136,137,137,136,137,137,135,136,135,136,135,134,135,135,135,
136,137,137,139,139,141,141,144,144,146,146,149,148,151,151,151,152,152,153,153,151,151,149,149,
146,145,142,140,138,135,133,129,127,123,123,119,119,117,117,116,117,118,117,119,119,122,122,126,
127,128,131,132,135,136,136,139,139,141,140,142,141,142,141,141,139,139,138,135,135,133,132,131,
129,128,127,126,126,126,125,125,124,125,125,125,126,126,125,127,126,128,127,129,129,128,129,128,
129,128,126,126,126,124,124,124,122,124,123,124,124,126,126,128,129,131,133,135,136,137,137,139,
140,140,139,139,138,138,136,136,135,133,133,130,130,128,126,126,124,123,121,121,121,120,118,119,
118,117,117,117,116,117,115,116,116,117,117,119,120,120,122,123,125,126,128,128,130,130,132,132,
133,133,133,132,131,129,129,127,128,126,126,125,125,124,124,126,125,126,125,126,125,126,125,125,
124,124,123,121,120,119,116,115,112,111,108,107,104,104,102,102,101,102,102,103,103,105,105,107,
108,109,110,112,113,114,117,118,120,121,123,124,126,126,128,129,129,128,129,127,128,125,126,124,
123,120,120,118,117,115,113,113,111,111,110,111,110,112,111,113,113,116,116,119,121,122,124,126,
128,128,131,131,133,134,135,134,136,135,136,135,135,136,135,136,136,135,136,135,136,135,136,136,
137,136,137,136,137,138,137,138,137,139,139,139,140,140,141,141,140,140,139,140,138,139,138,137,
136,135,134,134,132,133,132,131,131,130,131,129,130,130,129,131,130,132,132,132,133,134,134,136,
135,137,136,138,137,139,139,138,139,138,137,137,137,135,135,133,134,133,131,132,130,131,129,129,
129,127,128,126,126,125,125,124,125,125,125,124,124,123,124,123,124,124,124,122,123,123,124,124,
125,126,127,127,129,129,131,131,133,133,134,135,135,136,135,137,136,137,136,138,138,137,138,137,
138,137,137,136,136,134,134,133,132,130,128,126,124,123,121,120,118,118,116,116,115,116,115,116,
116,118,118,120,122,124,124,126,126,128,129,129,131,130,130,131,129,130,129,129,127,128,126,126,
126,125,126,125,126,126,127,126,126,127,126,127,126,126,126,125,126,125,126,125,126,125,125,125,
125,125,123,124,124,122,123,121,122,121,119,119,117,116,114,114,112,112,110,111,111,111,112,113,
114,115,117,119,119,121,122,124,125,126,126,127,127,128,128,128,128,127,126,126,124,124,122,122,
120,120,118,117,116,115,115,112,113,111,111,110,110,110,109,110,110,110,111,112,112,114,115,116,
118,119,122,123,126,128,129,131,133,134,135,136,138,138,139,139,140,139,140,139,140,139,140,140,
141,140,141,140,141,141,140,140,139,139,137,137,136,134,134,132,132,130,130,128,129,128,127,127,
127,127,127,128,129,130,130,132,132,134,134,137,137,139,139,142,142,144,144,146,145,146,146,147,
146,144,145,143,143,140,140,137,137,135,133,132,130,130,128,127,127,125,125,124,124,124,123,125,
124,125,124,126,125,126,126,126,126,125,126,126,126,126,125,126,126,126,126,125,125,125,125,125,
125,125,125,125,126,127,127,127,129,130,132,132,135,135,137,138,137,138,137,138,137,137,136,134,
134,132,132,130,130,128,128,127,125,126,125,124,124,124,124,123,124,123,125,124,125,124,125,125,
125,125,126,125,126,126,126,127,127,129,128,130,129,131,132,131,132,132,133,132,133,132,132,130,
131,129,129,127,125,125,124,124,123,123,123,123,122,122,122,121,122,121,122,121,122,122,121,121,
121,120,121,119,120,118,119,119,118,119,120,119,121,121,123,124,124,126,126,127,126,127,126,127,
126,126,124,126,124,125,124,123,123,122,123,122,121,121,120,120,120,119,117,118,116,117,115,116,
115,115,114,115,113,114,113,115,114,115,115,115,116,115,115,117,116,118,117,118,118,117,118,117,
118,117,118,118,118,119,119,119,120,120,121,122,122,123,125,126,128,128,130,130,132,133,132,134,
133,134,134,134,134,134,134,133,134,134,133,134,132,133,132,132,132,130,131,130,130,129,130,129,
129,128,130,129,130,130,132,132,134,135,135,137,137,139,139,141,141,143,142,144,143,144,144,145,
145,143,144,143,144,143,142,141,140,139,137,136,134,134,132,130,130,127,127,126,125,124,122,122,
121,120,121,120,121,122,121,123,122,124,124,124,126,125,126,126,127,128,127,129,128,130,130,131,
132,131,132,131,133,132,133,131,132,130,130,129,129,128,128,128,127,128,127,128,127,128,127,128,
127,128,128,127,128,126,127,125,126,126,125,126,125,126,125,127,126,128,128,130,129,132,131,134,
133,135,135,136,136,137,136,136,135,136,134,135,133,133,132,132,131,130,131,129,130,129,130,129,
130,129,130,130,129,129,127,128,127,126,125,123,123,121,121,119,120,119,118,119,118,117,118,117,
119,119,119,121,121,123,124,125,125,126,126,127,127,128,127,129,129,129,131,131,131,133,132,134,
133,134,134,134,132,132,130,130,129,126,125,123,123,120,120,119,117,117,116,114,115,114,115,113,
115,114,115,114,116,116,116,117,116,118,117,119,119,119,121,121,122,122,124,123,125,124,126,125,
126,125,127,125,126,125,124,124,123,123,123,120,121,119,119,119,117,118,116,117,117,116,117,118,
117,119,120,121,121,122,121,123,122,124,123,125,124,126,126,127,128,128,129,130,130,130,132,133,
134,134,135,135,136,137,136,138,138,137,138,138,139,139,138,139,138,139,138,138,138,138,137,137,
136,137,137,135,137,135,136,135,136,137,137,136,137,137,136,136,135,136,134,135,135,133,134,133,
133,132,132,130,130,130,128,129,127,128,127,128,127,128,128,127,128,127,129,128,129,129,128,129,
128,130,129,129,130,129,130,129,130,130,130,128,129,127,127,126,124,124,122,120,120,118,118,117,
116,117,116,116,117,117,119,120,121,123,124,125,126,127,128,128,130,129,131,131,131,132,132,133,
132,133,133,134,133,134,134,135,134,135,134,135,135,133,134,132,133,131,132,130,130,128,129,128,
126,126,126,125,124,125,124,125,124,125,124,126,126,125,126,125,127,127,126,127,126,127,126,127,
127,126,127,126,127,126,127,128,127,129,128,130,129,131,130,132,132,132,131,131,131,129,130,128,
129,127,128,126,127,126,127,125,126,126,125,125,124,124,124,123,123,121,122,120,121,119,120,119,
119,118,119,118,118,119,119,120,120,121,122,122,122,123,123,124,124,123,124,124,124,124,123,124,
123,125,124,125,124,125,125,126,125,126,125,125,126,125,126,124,125,123,123,121,121,119,119,118,
116,116,116,114,115,114,115,114,115,116,115,117,116,118,119,120,120,122,122,125,126,126,128,129,
131,131,133,133,135,135,137,137,138,138,138,137,138,137,137,137,135,135,133,133,132,130,130,129,
129,128,128,127,125,126,125,126,124,126,126,126,128,128,130,132,132,134,135,136,137,137,139,138,
140,139,140,140,141,140,140,139,140,139,139,137,137,136,136,134,134,133,133,131,131,130,131,131,
129,130,129,130,130,129,129,128,128,128,127,127,126,126,125,125,124,124,123,123,122,122,121,121,
121,120,120,119,119,119,118,119,118,119,119,120,121,122,122,124,125,126,128,128,130,129,130,131,
130,130,129,130,129,128,129,128,128,127,127,127,127,126,127,127,127,127,126,128,128,129,128,129,
129,128,129,128,129,127,128,127,126,125,126,124,125,124,125,125,124,126,125,127,126,128,128,129,
129,131,130,131,132,132,133,133,132,133,131,133,132,133,132,133,133,131,133,131,133,131,132,131,
132,130,130,130,128,128,126,127,126,126,124,125,124,125,124,126,126,125,127,126,128,127,129,128,
130,130,130,131,130,131,130,131,130,130,129,129,127,128,127,127,126,126,126,126,125,125,125,123,
124,123,124,123,123,123,122,123,122,121,122,121,122,122,121,123,123,123,122,124,123,123,122,123,
122,121,121,119,119,117,118,116,116,116,115,116,115,116,116,116,118,118,119,120,120,122,122,124,
124,126,126,128,128,129,129,130,130,131,130,131,130,131,131,130,131,129,130,128,129,127,128,126,
127,126,127,127,126,127,127,128,128,128,129,129,128,129,130,129,130,129,131,130,131,131,132,132,
134,134,133,135,135,136,135,136,136,136,137,138,137,138,138,137,138,137,138,138,138,136,137,135,
136,134,134,132,133,131,131,129,130,129,127,128,126,126,125,125,124,124,123,124,124,124,123,125,
124,126,125,127,126,128,128,128,129,128,130,129,129,128,129,128,127,127,125,126,124,125,124,124,
122,123,122,123,122,123,122,123,122,123,122,121,123,121,122,122,122,121,122,121,122,122,121,123,
122,124,124,125,126,127,128,128,128,129,128,129,128,128,128,128,128,127,127,127,127,126,126,125,
126,126,127,126,128,127,129,130,129,131,130,131,132,130,131,130,130,129,129,128,127,127,125,126,
124,125,124,125,124,125,125,125,125,124,125,124,125,124,125,126,125,127,126,128,128,130,130,131,
132,132,134,134,135,136,136,137,137,138,137,137,136,136,136,135,133,133,131,130,128,128,126,126,
124,123,123,121,122,121,121,122,121,122,121,122,122,121,123,121,123,122,123,122,123,122,124,124,
124,125,125,127,127,126,128,127,128,127,128,126,127,126,126,126,124,125,124,124,123,123,122,123,
123,122,123,121,123,121,122,121,122,120,121,120,120,119,120,119,119,118,119,119,120,121,121,121,
122,122,123,124,123,125,125,127,127,129,129,131,133,132,134,135,136,135,136,134,135,135,134,134,
133,133,132,132,131,131,130,131,130,129,130,129,130,129,130,129,130,130,131,131,132,132,134,133,
135,134,135,134,135,135,134,134,133,132,133,132,133,131,132,131,131,131,130,129,130,129,129,129,
129,129,130,129,129,131,130,132,132,132,133,134,134,133,135,133,134,133,134,131,132,131,129,128,
127,125,124,123,121,121,119,119,119,117,118,117,117,118,118,119,120,120,122,122,124,125,125,126,
126,127,127,126,127,126,127,127,128,127,129,128,129,129,129,129,130,129,130,129,129,129,128,128,
127,127,126,126,125,125,124,124,123,124,123,124,124,125,125,126,127,126,128,127,127,128,127,127,
126,126,125,124,124,123,123,123,122,123,122,124,123,125,125,126,126,128,127,129,129,130,130,131,
131,132,131,132,132,132,133,133,132,133,132,133,133,133,132,132,131,130,130,129,129,128,129,128,
128,127,128,127,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,126,127,127,125,126,
124,125,123,124,123,123,123,123,123,123,124,124,125,126,126,128,127,128,128,129,130,128,129,128,
129,126,127,125,126,123,124,121,122,120,120,118,118,118,117,117,115,116,115,114,115,114,115,115,
116,116,118,119,119,122,122,124,126,125,128,127,129,129,131,130,132,131,132,131,132,131,132,131,
131,131,131,129,130,128,129,128,128,127,128,127,128,127,128,127,128,127,129,129,129,129,129,128,
129,129,128,130,129,130,129,130,129,130,129,130,129,130,130,129,130,130,129,130,130,130,132,131,
133,134,133,134,135,134,136,134,135,133,134,132,133,131,132,130,131,130,129,129,128,129,128,127,
127,127,125,126,124,124,123,124,122,123,122,123,122,123,123,124,123,124,123,125,124,126,127,126,
128,127,129,128,130,129,130,129,130,130,129,129,128,127,128,127,127,127,127,127,127,128,127,129,
128,130,129,130,130,131,130,131,130,130,129,128,127,127,125,125,124,123,123,121,122,121,122,121,
122,123,123,122,123,123,123,123,124,123,124,124,123,125,124,125,125,125,126,125,127,127,127,128,
127,128,128,128,127,128,127,127,126,126,125,125,124,123,124,123,124,124,123,124,123,125,124,126,
125,127,128,128,129,130,130,130,131,131,132,132,132,131,132,131,131,130,129,130,128,129,129,129,
128,128,128,127,127,127,127,126,128,128,128,127,129,128,130,129,130,129,131,131,131,131,132,130,
132,130,131,130,129,129,127,127,126,124,124,122,122,122,119,120,118,120,118,120,119,120,120,121,
122,122,123,123,124,123,125,125,126,126,126,128,127,128,128,129,128,129,127,128,128,127,128,127,
127,126,127,126,127,127,126,127,126,128,127,128,127,128,129,129,128,129,129,128,130,128,129,128,
128,128,127,127,126,127,126,125,126,126,126,127,126,128,127,129,129,131,130,132,133,132,134,133,
134,134,133,134,134,135,135,135,135,135,135,135,135,133,133,132,130,130,128,128,125,126,124,125,
123,124,124,123,124,123,125,124,126,127,126,128,129,128,130,129,130,129,131,131,130,131,131,129,
130,129,130,129,129,130,128,130,128,129,128,129,129,129,129,128,129,129,130,130,130,130,129,130,
129,130,129,130,129,130,129,130,129,130,130,131,130,131,131,130,131,131,129,129,127,128,125,126,
124,125,123,124,124,123,125,125,125,126,126,127,127,128,127,128,127,128,128,127,126,127,125,125,
124,124,122,122,120,121,120,119,119,118,118,118,117,117,115,116,115,116,115,117,117,117,118,118,
120,120,122,122,124,124,125,126,127,128,128,129,129,130,131,130,131,130,131,131,129,130,129,128,
129,129,128,128,128,127,128,128,127,128,128,127,128,127,128,126,128,126,127,127,126,126,125,126,
125,125,125,124,124,124,124,124,125,125,124,126,125,127,126,128,128,127,129,129,128,130,129,130,
130,131,130,131,130,130,129,129,128,129,128,126,127,125,125,124,124,123,123,122,122,122,122,121,
122,121,123,123,123,124,124,126,126,127,127,129,129,130,130,131,131,131,133,133,133,133,132,133,
133,134,132,133,132,133,132,132,132,131,131,131,130,131,131,130,131,130,131,131,132,131,132,131,
133,133,132,133,133,133,132,132,132,131,129,130,130,129,129,128,129,129,128,129,128,129,129,129,
128,129,128,129,128,129,129,128,129,128,129,129,128,129,128,130,130,129,130,129,130,129,130,128,
129,127,128,126,126,126,124,125,124,123,123,123,122,123,122,123,123,124,123,124,124,125,124,125,
126,126,126,125,127,126,127,127,126,127,126,127,126,127,127,126,127,127,128,129,128,130,130,132,
132,133,133,132,134,132,133,132,131,132,130,131,129,130,128,129,128,127,128,127,128,126,127,127,
126,126,125,123,124,123,122,122,121,121,120,119,120,119,120,119,120,120,121,120,122,121,122,122,
123,122,122,123,123,123,123,123,123,123,123,123,122,122,122,121,122,122,122,122,123,123,122,124,
123,124,124,124,125,124,125,125,124,125,124,125,125,125,125,125,124,125,124,125,124,124,123,124,
123,123,123,123,123,123,122,123,122,123,123,123,124,125,124,126,126,128,128,129,130,129,131,131,
130,131,131,131,132,131,130,130,129,129,128,128,127,127,126,126,125,125,125,124,124,123,124,123,
124,124,125,125,125,126,126,126,126,127,126,128,127,129,128,129,129,130,129,131,130,131,131,130,
131,131,130,132,131,132,132,133,132,134,133,134,135,135,134,135,134,135,134,135,134,134,134,133,
133,132,133,131,132,131,132,132,131,132,130,131,130,131,130,131,130,130,131,130,131,132,132,132,
133,132,134,133,135,135,134,135,136,134,136,134,135,135,133,134,132,133,131,131,129,130,128,129,
128,127,128,127,128,127,128,127,128,128,127,127,126,126,126,124,125,123,124,122,123,122,123,122,
122,122,122,122,123,122,123,123,124,123,125,124,126,126,125,127,126,127,126,127,127,126,128,127,
128,128,129,130,129,131,131,131,132,131,132,132,131,132,130,131,129,129,128,128,126,127,125,125,
125,124,125,124,125,125,125,125,125,125,125,126,125,126,125,125,124,125,124,125,125,124,125,125,
125,125,125,125,125,125,125,125,124,125,124,125,124,125,123,124,124,122,123,122,122,121,122,122,
121,122,123,122,123,123,124,124,124,125,124,125,124,124,123,124,124,124,123,124,122,123,122,121,
122,121,122,122,122,123,123,122,123,123,123,122,123,122,123,122,123,122,123,122,123,122,123,124,
124,123,124,123,124,123,124,123,123,124,122,123,122,123,122,123,123,124,124,123,124,123,124,123,
124,124,123,124,123,124,124,125,125,125,124,125,125,126,125,125,125,127,126,127,127,129,129,129,
131,130,132,132,134,134,134,136,136,137,137,138,138,139,138,139,139,140,139,140,138,139,138,138,
136,136,133,133,130,130,129,127,127,126,126,126,124,125,125,126,126,126,127,128,128,129,129,131,
130,132,133,133,135,135,137,137,139,139,139,140,139,140,141,140,140,139,140,140,139,139,138,138,
136,136,134,134,133,130,130,129,129,128,127,126,124,125,123,123,122,122,121,121,119,119,118,117,
118,116,117,117,116,117,115,117,116,118,118,120,120,122,123,124,126,127,129,128,131,131,133,132,
134,134,136,135,137,136,137,136,136,136,135,136,134,135,133,134,132,132,131,130,130,128,128,126,
126,125,124,124,123,123,122,123,122,123,123,123,123,124,125,125,124,125,125,126,126,125,125,124,
125,125,125,124,125,124,124,124,124,125,125,124,125,125,126,126,125,127,127,128,128,129,129,128,
129,129,128,128,127,128,126,127,126,124,125,124,124,123,124,123,122,123,121,122,121,121,120,121,
120,119,120,119,120,119,120,120,119,120,120,121,122,122,124,123,125,125,125,126,126,125,126,125,
126,126,124,126,124,126,125,126,125,126,125,126,125,126,125,125,124,125,124,124,123,124,123,124,
123,123,123,121,121,119,119,117,117,116,114,115,113,113,112,110,110,110,110,110,109,111,112,113,
113,116,116,119,120,122,123,125,126,129,131,133,134,136,138,138,140,140,142,141,142,141,141,140,
141,139,139,139,137,137,135,136,134,132,132,130,130,129,128,126,127,126,127,126,127,127,128,127,
129,128,131,130,131,133,132,134,134,134,135,135,136,135,136,136,137,136,137,137,137,138,138,140,
139,141,142,142,144,143,146,146,145,146,145,146,145,145,143,143,141,138,137,134,132,129,124,123,
119,117,115,113,110,110,108,109,108,109,109,111,112,115,117,121,123,127,130,134,136,140,142,145,
147,148,150,149,150,149,147,144,140,137,132,128,123,119,114,112,108,105,104,102,103,104,104,107,
108,112,116,120,125,128,134,137,142,144,148,151,153,154,154,154,153,151,147,144,140,134,131,125,
122,116,113,110,106,105,102,103,103,103,106,107,111,115,118,123,126,132,136,138,142,147,149,152,
154,155,155,154,152,148,145,141,135,131,124,120,114,111,105,103,100, 97, 97, 96, 97, 97,100,103,
107,112,116,121,125,131,135,140,144,148,150,153,155,155,156,154,153,149,147,143,139,135,130,124,
120,114,111,107,103, 99, 98, 96, 95, 94, 95, 96, 99,101,105,108,112,116,119,123,126,130,133,136,
137,138,138,137,136,133,131,128,125,122,117,115,111,110,109,107,107,106,107,106,109,111,112,116,
119,123,127,129,134,136,139,141,144,145,146,147,145,145,142,138,136,131,127,124,118,114,109,106,
103,100, 98, 96, 96, 96, 96, 99,100,104,107,112,116,120,125,130,133,138,142,145,150,152,154,156,
155,156,153,153,149,147,143,140,137,132,130,127,126,124,122,122,121,122,122,124,126,127,130,131,
135,136,140,141,143,145,146,148,148,150,150,148,145,144,140,137,132,129,123,120,115,112,109,107,
104,103,101,102,102,105,106,110,113,118,122,125,130,133,138,141,145,147,151,152,154,153,154,151,
149,145,142,137,133,128,122,118,113,110,106,103,100, 99, 97, 98, 98, 99,100,103,105,109,112,116,
119,121,125,128,130,134,136,139,140,141,141,141,139,138,135,133,129,125,123,119,117,115,113,111,
111,111,113,114,115,119,121,126,129,134,139,143,146,151,155,157,161,162,164,163,163,161,159,156,
152,147,143,137,132,126,122,117,113,108,106,102,102,100,101,101,103,105,109,112,117,120,126,129,
134,138,143,147,150,154,155,158,159,157,158,155,153,149,144,141,135,131,126,121,117,112,109,107,
103,103,102,102,104,105,108,110,114,116,120,122,127,129,133,135,138,138,140,140,139,139,136,134,
130,127,123,120,117,113,109,107,103,103,101,100,101,101,104,107,109,114,118,122,125,130,134,138,
142,145,149,150,153,153,153,152,150,146,143,138,134,129,124,119,114,110,104,101, 97, 96, 94, 92,
 93, 92, 94, 95, 99,101,105,108,113,116,121,124,130,132,137,140,142,145,146,148,147,146,146,144,
143,142,139,138,134,134,132,130,130,128,129,128,130,130,132,132,135,136,137,140,141,143,145,145,
148,147,149,147,148,146,144,141,139,135,132,128,125,121,119,115,114,112,110,111,110,111,112,114,
117,119,124,126,131,133,139,141,147,149,153,156,157,160,160,162,160,159,155,153,148,145,139,136,
130,124,120,114,110,106,101, 98, 96, 94, 93, 93, 92, 94, 96, 96,100,103,105,109,112,116,118,123,
125,129,131,132,134,132,133,132,129,128,125,124,121,120,118,118,117,116,117,116,118,120,121,125,
126,130,132,134,138,139,143,143,146,146,147,147,147,145,144,141,139,135,131,128,122,119,113,110,
105,101, 99, 95, 94, 93, 92, 94, 95, 99,102,105,111,114,121,125,131,136,141,147,151,156,159,163,
164,167,166,167,165,163,159,156,151,147,140,136,129,125,119,116,112,109,106,104,103,102,103,103,
105,106,109,111,113,116,119,121,124,126,129,129,131,132,131,132,130,130,128,126,124,121,119,117,
115,113,112,111,112,111,114,115,118,121,125,128,131,136,139,143,145,149,151,154,155,157,156,156,
153,152,148,143,140,135,128,123,116,111,107,101, 97, 92, 89, 86, 86, 85, 84, 86, 88, 90, 95, 98,
104,109,114,120,124,130,136,139,145,147,151,153,153,155,153,153,149,148,143,140,137,132,128,124,
121,118,114,114,112,110,111,110,113,113,117,118,122,123,127,130,132,136,138,139,141,142,141,142,
139,139,136,134,130,128,124,120,117,114,110,109,106,106,105,105,107,109,112,115,121,124,131,136,
142,148,153,159,163,168,171,175,176,177,178,176,173,171,165,160,155,148,141,134,127,120,114,108,
102,100, 95, 94, 92, 93, 95, 96, 99,103,106,110,117,120,126,131,135,140,143,147,150,152,152,153,
151,151,149,146,144,141,138,134,132,128,126,123,120,120,117,118,118,118,119,121,122,124,125,128,
130,131,134,135,137,137,139,139,139,138,136,133,130,127,122,118,113,108,104, 99, 96, 92, 89, 89,
 87, 89, 89, 92, 94, 99,103,108,113,119,125,132,137,144,149,154,158,163,165,168,168,169,167,166,
162,160,154,150,142,138,131,123,118,112,106,102, 97, 93, 92, 89, 90, 89, 91, 91, 95, 98,102,105,
109,114,118,123,126,131,133,136,138,138,140,139,139,137,136,133,131,128,126,123,121,121,118,119,
118,119,121,123,125,127,130,133,137,140,142,146,149,152,153,155,155,156,154,153,150,147,142,138,
131,127,119,114,107,102, 96, 91, 87, 83, 81, 79, 80, 80, 83, 85, 88, 93, 97,103,109,115,121,128,
133,140,144,149,154,156,159,161,161,161,160,158,156,153,149,144,141,137,131,128,123,120,117,114,
114,112,112,111,112,112,114,116,118,119,122,123,127,128,129,131,132,133,133,132,131,130,127,125,
121,118,115,112,109,107,104,103,101,102,103,106,110,114,121,126,134,141,147,155,160,167,172,175,
180,182,186,187,187,185,184,181,179,175,171,166,162,156,151,144,139,133,128,124,119,116,112,110,
108,108,108,106,108,107,110,110,114,118,121,126,130,132,135,136,139,140,144,146,149,151,152,154,
152,151,148,145,143,139,138,135,134,132,130,127,125,122,118,117,115,114,113,110,110,108,105,104,
100, 99, 97, 94, 91, 89, 85, 81, 79, 76, 74, 71, 71, 70, 69, 71, 71, 74, 75, 78, 81, 83, 87, 89,
 94, 96,101,105,109,114,119,122,128,131,136,139,143,144,146,148,147,147,144,142,139,134,130,124,
119,114,108,104, 99, 97, 94, 91, 91, 89, 89, 89, 89, 90, 90, 93, 95, 95, 99,100,103,105,107,109,
111,113,115,114,115,114,115,114,115,114,115,114,116,117,120,122,126,129,134,139,143,146,151,154,
159,160,164,166,167,169,169,170,170,169,170,169,170,168,168,167,166,164,163,159,156,151,148,143,
137,133,129,124,122,120,120,120,120,123,125,127,131,134,136,139,141,145,146,150,152,155,156,159,
158,160,159,158,156,155,153,151,148,145,143,139,136,132,130,127,125,122,121,119,116,116,114,115,
114,115,116,115,117,118,119,121,122,124,123,125,125,127,127,130,130,133,133,136,136,139,139,143,
144,148,149,153,155,157,158,158,161,163,167,171,175,181,187,190,195,197,200,200,203,202,203,201,
198,194,190,184,177,170,161,154,145,137,130,123,117,112,106,103,100, 98, 96, 97, 98, 98,100,100,
103,103,105,105,108,109,110,110,111,111,111,109,107,106,103,101, 98, 97, 94, 94, 91, 92, 92, 93,
 93, 96, 97,100,101,103,104,103,105,104,105,104,105,103,103,101,100, 98, 98, 96, 95, 95, 92, 91,
 88, 86, 82, 79, 75, 72, 68, 65, 61, 59, 57, 55, 56, 55, 58, 60, 65, 69, 76, 82, 89, 98,105,115,
123,132,139,147,153,159,163,166,166,167,164,162,158,152,148,142,136,130,125,118,114,108,106,103,
100,100, 99,100,101,101,103,104,107,107,110,110,112,111,113,113,115,116,118,120,122,126,127,132,
136,139,145,149,154,157,161,163,167,169,173,175,180,182,186,188,191,194,196,197,200,200,202,203,
203,204,202,201,199,194,192,185,181,173,167,160,151,144,134,128,118,112,104,100, 93, 91, 86, 85,
 83, 82, 83, 84, 85, 89, 92, 98,104,109,114,120,124,129,134,137,143,145,149,151,151,151,149,148,
145,144,141,140,139,138,137,136,136,134,134,132,131,130,128,128,127,128,126,127,127,128,129,130,
132,133,135,137,138,141,142,144,144,146,146,148,147,148,146,146,143,143,142,140,141,141,143,144,
148,151,154,160,164,168,173,176,181,183,186,185,186,184,183,178,175,168,162,153,144,134,122,112,
100, 89, 80, 69, 62, 53, 48, 42, 39, 35, 36, 35, 38, 40, 44, 47, 53, 57, 63, 67, 74, 78, 84, 87,
 93, 97,102,105,110,114,116,119,121,121,123,123,122,120,117,115,112,108,105,101, 99, 96, 93, 90,
 89, 87, 87, 86, 88, 89, 92, 95, 98,101,105,108,111,114,116,118,118,118,117,114,111,107,102, 98,
 92, 88, 82, 78, 73, 72, 71, 71, 74, 76, 82, 86, 92,100,109,116,126,134,141,148,153,158,161,162,
162,162,160,159,156,152,150,146,143,139,134,131,126,124,120,119,117,115,116,115,116,116,117,119,
121,123,127,131,137,140,147,151,158,163,169,174,180,183,187,188,190,188,188,186,184,182,180,177,
175,171,169,165,163,160,159,156,157,156,155,157,156,156,155,153,153,150,150,150,148,148,146,145,
141,138,132,127,119,113,105, 99, 90, 84, 77, 72, 68, 64, 63, 62, 65, 67, 69, 74, 78, 84, 90, 95,
102,107,115,121,127,135,141,148,154,159,165,170,174,179,181,185,187,187,188,186,184,181,177,173,
167,160,155,148,143,137,133,128,126,123,122,121,122,121,123,126,129,133,136,141,145,148,150,152,
153,152,152,150,147,144,138,134,127,122,115,111,107,102,100, 98, 99, 99,102,104,109,112,118,121,
127,130,135,137,140,142,142,143,143,140,139,135,131,128,122,118,111,106, 99, 94, 86, 81, 74, 69,
 63, 59, 55, 51, 49, 47, 46, 46, 46, 46, 50, 52, 57, 61, 69, 74, 82, 90, 98,107,115,124,132,140,
145,152,155,159,159,161,159,156,153,149,145,139,134,129,123,119,114,112,110,108,109,109,112,115,
117,120,123,125,126,128,127,127,126,124,122,119,114,112,107,105,100,100, 96, 97, 96, 98, 98,102,
105,110,113,120,126,133,139,147,153,160,166,174,179,187,194,201,209,214,220,223,226,226,227,225,
224,221,215,211,205,196,188,178,169,160,153,145,139,133,128,124,120,118,115,114,114,114,114,117,
118,122,125,130,134,139,143,147,150,154,155,157,155,155,151,149,144,139,135,131,127,125,121,120,
118,119,118,120,121,124,126,127,131,132,134,134,136,135,136,134,133,131,128,126,122,120,116,114,
111,107,105,101, 99, 95, 93, 91, 89, 88, 86, 86, 86, 88, 89, 90, 94, 98,102,108,114,121,128,137,
145,154,164,172,179,188,194,201,205,209,209,209,207,202,198,191,183,174,163,154,143,133,123,113,
105, 97, 92, 86, 84, 80, 81, 80, 83, 84, 88, 89, 93, 94, 98, 99,102,103,105,104,104,105,103,102,
100, 97, 96, 94, 93, 91, 92, 91, 92, 93, 93, 95, 96, 98, 99,101,104,104,107,107,109,110,110,112,
111,112,112,113,113,114,112,112,110,109,105,104, 99, 97, 94, 89, 85, 79, 74, 69, 63, 60, 55, 52,
 50, 48, 49, 50, 54, 57, 63, 70, 77, 87, 96,107,116,126,134,142,147,153,155,158,158,160,159,156,
153,148,145,140,137,133,132,130,131,130,129,127,128,126,127,128,128,131,133,135,139,141,143,147,
150,153,157,160,164,167,171,173,172,173,173,170,169,165,164,161,159,156,156,154,155,155,155,157,
160,161,165,166,170,171,175,176,180,181,185,186,189,191,191,193,191,190,186,184,177,171,163,154,
145,136,125,116,105, 98, 89, 83, 76, 72, 69, 67, 67, 68, 71, 74, 79, 84, 91, 95,102,106,112,116,
122,126,131,133,137,139,142,143,145,146,147,147,148,149,149,148,148,146,146,144,144,142,142,139,
139,136,136,134,135,133,134,132,133,131,132,133,132,134,133,135,135,134,135,134,134,132,131,129,
125,122,118,114,110,105,102, 98, 93, 92, 90, 91, 91, 94, 95,101,104,111,115,123,127,135,140,144,
149,151,154,155,153,152,148,145,141,135,130,123,117,109,103, 95, 90, 85, 79, 76, 71, 69, 67, 63,
 63, 61, 62, 62, 62, 64, 65, 69, 70, 74, 76, 80, 82, 86, 88, 92, 95, 97,102,105,106,110,111,114,
115,118,120,121,121,121,119,116,115,111,111,109,108,110,110,112,112,114,117,119,123,125,129,133,
134,137,135,135,130,127,120,115,107,102, 96, 90, 84, 81, 77, 75, 73, 73, 73, 76, 79, 82, 88, 93,
101,106,115,121,131,138,148,155,165,172,182,189,196,204,209,214,217,220,220,221,217,216,210,207,
201,195,191,185,181,175,172,168,164,162,159,155,154,151,151,149,149,148,150,150,153,154,157,158,
160,161,163,162,162,161,160,158,156,154,152,149,144,141,137,135,133,131,132,131,133,135,137,142,
146,151,156,161,166,169,173,175,177,177,178,176,174,170,165,162,156,151,145,140,133,129,123,119,
113,109,105,102, 99, 98, 96, 96, 96, 97, 97, 99,101,104,107,110,115,119,123,127,132,136,141,145,
150,154,157,162,165,169,170,172,172,172,170,168,166,160,157,151,146,140,135,128,123,118,113,111,
107,106,103,103,101,102,102,104,104,105,106,105,106,104,104,101, 97, 95, 91, 89, 85, 83, 81, 78,
 78, 76, 77, 76, 78, 78, 81, 83, 88, 90, 95, 98,103,106,109,113,116,119,122,122,124,124,121,120,
116,114,109,107,103,102, 98, 96, 92, 90, 85, 83, 79, 77, 73, 72, 69, 67, 64, 63, 59, 58, 56, 56,
 57, 58, 62, 65, 71, 76, 83, 88, 96,101,108,112,117,119,123,123,125,124,123,123,121,120,119,118,
117,117,117,119,120,121,124,127,128,132,133,137,138,141,143,144,146,147,150,151,154,156,156,158,
157,158,157,156,156,153,152,148,146,142,141,138,139,139,140,141,142,144,146,150,153,157,161,165,
169,174,178,181,185,188,192,195,198,200,201,201,202,201,200,197,195,191,186,180,173,166,158,150,
142,133,128,120,116,111,108,105,106,106,108,109,113,115,119,122,126,129,131,135,135,138,137,139,
138,139,139,138,139,138,139,139,140,141,142,143,145,147,148,150,151,153,154,158,159,162,163,165,
166,166,164,164,162,161,158,155,153,148,146,142,140,136,134,132,129,128,126,124,122,120,117,114,
113,109,109,106,107,104,105,103,104,105,105,108,111,114,118,122,126,129,133,135,135,138,137,138,
136,134,132,127,124,118,115,109,106,102, 98, 93, 91, 86, 84, 78, 76, 72, 71, 69, 69, 69, 70, 70,
 71, 70, 71, 69, 69, 67, 66, 64, 63, 61, 60, 59, 57, 57, 56, 57, 57, 60, 62, 66, 69, 74, 78, 83,
 86, 90, 93, 97, 99,103,104,108,109,113,116,118,122,126,127,131,133,136,136,138,137,138,135,134,
130,127,123,117,113,107,102, 97, 92, 89, 85, 84, 82, 82, 81, 83, 84, 89, 92, 95,100,104,110,114,
120,125,132,137,144,150,157,163,168,174,177,182,185,186,189,189,191,191,189,190,188,188,185,185,
183,183,180,180,178,178,176,176,174,173,170,169,165,163,162,158,157,155,151,150,148,146,144,142,
139,139,136,135,132,129,127,124,123,120,118,117,116,115,117,117,120,122,127,131,135,139,145,149,
154,159,161,165,166,168,168,167,165,162,160,156,152,148,144,138,135,129,126,122,119,116,115,113,
113,113,112,114,114,116,117,119,121,124,125,128,129,129,131,130,132,132,132,135,135,138,138,141,
143,145,148,150,154,157,160,162,165,165,168,167,168,166,167,165,164,162,161,158,156,152,150,146,
144,142,139,137,133,130,125,121,116,109,105, 99, 96, 91, 89, 85, 83, 78, 77, 74, 71, 70, 70, 69,
 70, 71, 74, 76, 80, 84, 89, 93, 99,103,109,112,117,119,122,123,124,123,122,120,118,114,113,109,
108,105,105,103,102,101,102,100,100,100, 98, 97, 95, 92, 91, 90, 87, 87, 85, 83, 83, 81, 82, 81,
 82, 83, 85, 87, 88, 91, 92, 95, 96, 99, 99,102,102,103,103,104,104,106,106,109,111,115,117,121,
124,128,131,135,138,141,142,146,146,149,150,150,152,153,152,153,152,153,151,151,151,148,148,145,
145,142,141,139,138,137,136,135,136,136,138,140,142,145,148,150,154,157,160,162,163,166,167,169,
169,170,169,171,171,173,174,176,176,179,179,181,180,181,180,178,177,174,172,167,165,159,156,152,
147,144,140,138,136,134,133,132,131,130,129,128,126,126,123,123,121,120,118,117,115,113,113,113,
113,112,115,115,117,118,120,122,124,129,132,138,142,148,152,156,161,164,166,169,170,172,171,171,
169,167,162,159,154,149,144,139,136,133,130,127,125,122,121,119,119,118,118,118,117,117,115,115,
113,112,112,111,112,111,113,112,114,114,115,115,116,116,117,117,118,117,119,118,119,118,119,117,
118,117,116,116,114,114,112,111,109,109,107,108,106,106,104,105,104,103,104,103,101,100, 98, 93,
 91, 85, 81, 76, 71, 66, 61, 57, 54, 51, 50, 48, 50, 50, 53, 56, 61, 65, 71, 76, 80, 87, 91, 98,
102,108,111,116,118,122,124,127,128,132,133,135,136,139,141,141,143,143,144,142,142,139,138,135,
132,130,126,125,122,121,119,117,117,115,116,114,115,115,114,115,114,116,115,117,118,119,120,121,
122,126,127,130,132,136,138,141,146,149,154,156,161,164,167,171,174,178,181,184,188,190,194,195,
198,198,198,199,196,194,191,187,182,177,171,165,161,155,149,144,139,135,133,129,129,127,127,125,
126,124,125,123,124,123,123,124,124,124,125,126,128,129,131,134,136,140,141,145,145,148,148,150,
150,152,151,152,152,151,151,149,147,145,141,140,137,136,134,133,131,131,130,130,129,130,130,132,
132,134,134,135,133,133,131,130,127,126,122,121,117,115,112,111,108,108,107,108,110,113,117,122,
125,131,136,142,147,151,157,161,166,169,171,175,176,178,177,177,174,173,168,165,160,156,150,145,
138,134,127,123,117,112,106,102, 96, 93, 89, 84, 82, 78, 74, 72, 69, 67, 66, 65, 64, 65, 64, 67,
 67, 70, 71, 75, 77, 79, 82, 82, 84, 83, 83, 82, 81, 80, 77, 76, 74, 74, 74, 72, 74, 74, 76, 77,
 80, 83, 85, 89, 91, 96, 98,101,102,104,104,104,101, 99, 97, 93, 91, 87, 84, 82, 80, 78, 76, 74,
 74, 74, 73, 74, 74, 75, 76, 78, 80, 83, 86, 89, 93, 96,102,105,112,116,122,126,131,135,140,144,
146,150,151,154,154,156,156,157,156,157,156,156,155,155,155,154,154,153,153,152,150,151,149,150,
151,151,154,156,157,160,162,165,166,170,170,173,174,176,175,174,173,170,167,166,162,161,158,157,
155,155,155,156,157,158,159,163,166,168,171,174,175,178,178,178,179,179,178,179,177,177,175,172,
168,164,159,156,152,147,143,138,134,129,123,120,115,112,109,107,104,103,100,100, 99, 98, 99, 98,
100,102,106,109,115,119,125,130,135,142,146,152,157,162,164,168,169,171,171,171,169,167,164,161,
158,156,152,150,149,147,147,147,146,148,148,149,150,151,151,153,153,154,154,153,153,151,150,147,
145,142,138,136,131,128,126,122,120,116,115,113,113,112,111,112,112,114,117,118,121,122,125,126,
129,130,132,132,134,133,134,134,135,134,134,133,132,131,128,126,122,119,114,109,103, 98, 91, 85,
 79, 73, 67, 60, 56, 51, 48, 45, 44, 44, 46, 48, 52, 56, 61, 66, 70, 75, 78, 83, 86, 87, 90, 90,
 92, 92, 93, 94, 93, 95, 94, 96, 96, 98, 99,101,101,103,104,105,105,107,109,109,112,112,115,116,
118,119,119,121,120,121,120,121,119,119,116,114,110,108,105,101,100, 97, 96, 95, 93, 94, 93, 94,
 95, 96,100,103,106,111,114,120,125,132,137,144,150,159,165,174,180,188,194,199,203,205,209,210,
209,210,206,204,198,194,187,181,175,168,164,159,154,152,148,147,144,143,141,142,142,142,142,144,
143,144,143,143,144,143,143,143,143,142,142,141,139,137,137,135,135,135,135,134,136,136,138,138,
140,140,142,142,144,144,146,147,149,150,149,151,151,152,153,152,153,152,153,152,152,153,150,150,
147,145,140,136,131,126,122,115,111,105,102, 97, 95, 92, 92, 91, 94, 95, 99,103,107,114,118,126,
132,138,143,149,153,159,161,166,167,170,169,171,169,169,167,163,162,157,155,150,147,142,140,135,
133,131,128,127,124,123,121,120,117,116,113,111,109,106,104,102, 99, 98, 96, 95, 94, 91, 91, 89,
 89, 88, 86, 85, 83, 83, 81, 79, 78, 76, 72, 71, 69, 67, 67, 68, 68, 71, 73, 78, 83, 88, 93, 99,
104,110,114,118,120,122,122,121,119,116,112,109,105,101, 97, 92, 88, 82, 79, 74, 72, 68, 67, 66,
 64, 65, 64, 66, 67, 70, 72, 76, 79, 85, 89, 95,100,106,111,114,119,122,126,127,131,132,132,134,
133,133,133,132,133,133,132,134,133,135,135,135,136,136,138,138,140,142,142,145,146,149,150,153,
154,158,161,162,166,167,170,169,169,167,166,162,160,156,154,149,147,142,141,137,136,134,135,136,
137,141,143,148,151,157,161,165,170,174,179,183,186,188,191,191,193,191,191,189,186,182,178,172,
169,163,160,154,150,144,139,136,131,128,123,122,118,117,114,114,112,113,111,112,111,112,112,114,
115,117,120,121,126,128,131,136,138,141,143,145,146,148,148,147,147,145,145,142,143,141,141,140,
142,141,144,145,148,150,152,156,158,161,162,165,165,167,167,166,166,164,163,160,157,154,149,145,
140,136,130,125,120,116,112,110,108,107,107,108,108,111,112,116,119,120,124,126,129,131,134,134,
137,138,138,138,138,136,136,134,135,132,132,130,128,125,122,118,114,109,104, 98, 93, 86, 81, 75,
 69, 66, 62, 61, 60, 59, 60, 61, 63, 65, 68, 70, 72, 73, 76, 76, 78, 79, 78, 78, 78, 75, 76, 74,
 75, 74, 76, 76, 78, 78, 80, 81, 84, 85, 88, 90, 94, 98,100,105,107,112,114,118,120,125,126,130,
131,133,132,131,129,128,124,122,119,116,111,108,104,101, 97, 95, 92, 92, 91, 91, 91, 93, 95, 96,
 99,101,104,108,111,117,121,128,133,141,147,155,161,168,174,181,185,191,194,197,198,199,198,198,
195,194,190,188,185,181,179,175,173,170,169,167,166,165,164,163,164,163,164,164,165,163,164,161,
160,158,156,152,150,146,144,139,137,133,131,128,124,123,121,119,119,118,120,120,123,124,127,130,
131,136,137,141,142,146,146,149,151,151,154,155,155,156,156,157,157,155,156,154,152,150,146,144,
139,135,130,125,119,115,110,107,104,102,101,101,101,101,104,107,109,113,116,121,124,129,133,136,
141,144,148,150,153,154,156,156,155,155,153,152,150,149,148,146,145,144,142,142,141,142,142,142,
143,143,143,144,142,142,141,138,137,133,131,127,124,119,117,111,109,105,101, 99, 97, 96, 94, 93,
 90, 89, 85, 84, 82, 79, 78, 76, 75, 75, 73, 75, 74, 77, 78, 82, 84, 90, 93, 99,103,108,112,114,
117,118,118,119,117,117,115,111,109,104,102, 98, 93, 91, 87, 84, 82, 79, 77, 74, 73, 70, 70, 69,
 70, 71, 72, 75, 76, 79, 81, 84, 86, 90, 92, 96, 97,100,101,103,102,104,103,104,104,105,105,107,
107,109,110,113,115,119,121,125,128,131,135,138,140,143,146,148,151,153,157,159,162,163,167,168,
171,170,172,170,170,168,167,163,161,156,154,149,147,143,140,138,134,134,133,132,134,135,138,142,
145,150,153,159,163,168,172,177,181,184,187,188,191,190,192,190,191,187,186,183,179,176,172,168,
165,160,158,155,152,151,149,148,146,144,144,142,141,139,138,135,134,132,129,128,126,126,125,123,
124,123,126,125,128,128,129,129,130,129,130,129,129,128,128,128,128,129,130,131,134,136,139,140,
144,145,149,150,154,156,157,160,160,162,163,163,163,160,160,156,155,151,148,143,138,132,128,123,
119,115,112,109,107,106,104,104,103,105,105,109,110,114,116,119,122,122,124,123,123,124,123,124,
124,125,125,125,125,125,124,125,125,125,124,124,122,119,118,115,110,108,103,101, 97, 95, 91, 89,
 86, 85, 83, 81, 81, 80, 81, 80, 80, 78, 78, 75, 74, 71, 70, 68, 66, 66, 63, 63, 61, 62, 61, 62,
 62, 63, 65, 67, 70, 72, 76, 80, 82, 88, 92, 96,102,106,111,115,121,125,127,131,133,135,135,136,
134,134,131,129,126,121,118,113,110,107,103,101, 98, 96, 95, 95, 93, 95, 94, 95, 95, 97, 98,100,
103,104,108,112,115,119,123,128,132,137,142,147,150,155,158,162,164,168,168,171,171,173,173,172,
173,173,174,173,174,173,174,176,175,177,177,178,179,178,179,178,179,178,178,176,175,172,171,168,
165,161,157,151,148,143,139,135,130,128,125,123,121,121,121,122,123,125,127,130,131,134,137,139,
140,144,144,146,147,149,149,151,152,154,156,156,158,158,160,159,159,158,155,155,151,150,146,145,
141,139,136,133,130,127,125,123,122,121,120,119,119,120,120,122,123,125,129,130,134,135,138,138,
140,141,141,143,143,143,145,144,145,144,145,144,145,146,145,148,149,151,153,155,157,159,161,161,
163,161,162,160,157,154,150,146,140,136,131,125,122,116,113,108,105,101, 97, 96, 92, 91, 88, 87,
 84, 83, 79, 79, 76, 75, 73, 74, 73, 75, 75, 78, 79, 82, 84, 87, 90, 92, 94, 97, 98,101,101,103,
103,105,104,105,104,104,104,104,103,102,100,100, 98, 98, 96, 94, 94, 92, 90, 90, 89, 89, 89, 88,
 89, 88, 88, 89, 89, 90, 90, 91, 92, 91, 91, 90, 88, 89, 87, 87, 86, 87, 86, 88, 90, 92, 96, 99,
101,106,109,112,117,120,125,128,132,134,139,141,143,147,149,151,153,156,158,161,162,164,166,166,
168,166,167,165,165,164,160,159,155,154,152,149,148,146,145,143,143,142,143,144,143,145,146,148,
150,153,155,159,162,163,168,169,172,174,175,174,176,174,175,174,171,171,170,168,167,166,164,164,
162,163,163,162,163,161,161,158,157,153,151,148,143,140,136,133,129,127,124,120,118,115,115,114,
112,113,112,114,113,114,114,115,117,118,120,123,123,126,126,129,129,132,132,135,137,138,141,143,
145,147,148,150,150,152,153,153,153,154,153,154,152,151,148,147,143,142,138,136,131,129,125,123,
120,119,117,117,117,116,118,117,118,119,119,120,119,120,120,118,118,115,115,112,112,111,111,111,
112,114,115,118,120,122,123,126,126,128,128,128,129,128,128,126,125,123,120,119,116,114,111,110,
107,103,102, 98, 96, 93, 89, 86, 82, 80, 77, 74, 72, 69, 68, 67, 65, 65, 63, 64, 62, 64, 63, 65,
 65, 67, 68, 69, 71, 73, 76, 78, 81, 85, 88, 93, 97,100,105,108,112,114,117,118,119,120,119,120,
118,119,117,115,114,114,111,112,111,109,109,109,107,107,106,106,105,105,105,103,104,103,102,103,
104,105,107,108,111,113,117,120,123,128,132,135,140,144,148,152,156,159,163,165,169,172,176,179,
180,183,183,185,185,187,188,188,188,189,189,190,190,190,189,189,187,186,184,183,179,177,173,170,
165,162,157,154,151,147,146,144,144,143,143,143,143,145,145,147,147,149,149,149,149,147,147,147,
146,146,145,146,145,146,146,145,145,146,146,148,148,150,152,153,154,155,155,156,155,154,154,153,
151,150,147,145,141,138,135,132,129,125,123,119,119,115,115,114,113,113,113,115,115,117,118,120,
120,122,123,123,125,125,127,128,130,132,134,137,138,142,143,148,151,153,157,158,161,160,161,159,
159,155,154,149,147,141,139,134,131,127,124,120,118,115,113,110,109,106,105,103,100, 99, 97, 94,
 92, 88, 87, 84, 84, 82, 81, 80, 80, 78, 79, 77, 78, 78, 78, 78, 79, 79, 81, 81, 84, 85, 87, 88,
 90, 92, 95, 97, 99,102,103,104,105,104,106,104,105,103,102,101, 99, 99, 97, 97, 96, 95, 94, 93,
 92, 91, 89, 89, 86, 86, 84, 84, 81, 81, 79, 80, 78, 80, 79, 81, 81, 85, 86, 88, 92, 94, 97,101,
103,107,109,111,115,116,119,120,122,124,126,126,129,131,132,135,136,140,142,143,146,147,150,152,
154,155,158,158,160,160,160,160,159,159,158,157,156,154,154,151,150,149,147,147,147,146,148,148,
151,151,155,155,158,159,162,164,165,167,167,170,170,170,171,172,174,175,178,180,183,185,185,187,
187,187,187,185,184,182,178,176,171,168,162,157,151,147,141,138,134,129,126,124,120,120,118,118,
118,118,119,120,120,123,123,126,127,129,129,132,132,134,135,136,135,136,136,137,137,138,138,140,
141,143,145,146,149,150,152,153,155,156,157,157,157,156,155,153,150,149,147,143,142,140,137,137,
135,135,134,132,132,129,129,126,126,122,121,118,114,112,108,106,103,102,100,100,100,100,102,104,
106,109,111,114,116,119,121,124,125,126,128,127,128,127,127,126,124,123,121,119,117,113,111,108,
104,101, 96, 94, 89, 88, 84, 83, 80, 80, 78, 78, 77, 78, 77, 78, 76, 77, 75, 75, 74, 72, 73, 71,
 71, 70, 71, 71, 71, 73, 73, 76, 78, 79, 83, 84, 88, 91, 93, 97, 98,101,103,106,107,110,112,114,
114,117,117,120,119,122,121,123,122,123,121,120,119,115,114,111,109,105,104,101,100, 97, 96, 94,
 94, 93, 95, 95, 98,100,104,107,111,115,120,124,130,136,140,146,150,156,160,164,166,169,172,173,
176,176,178,177,178,178,178,178,178,180,181,183,183,184,184,182,182,181,178,175,174,170,168,165,
163,160,159,156,156,153,153,152,152,151,151,151,149,149,148,147,147,144,144,141,140,139,137,134,
134,132,133,132,134,135,137,139,140,144,146,150,152,157,160,162,166,168,169,171,172,172,172,169,
167,164,160,156,152,148,143,139,134,131,127,125,122,122,120,121,120,120,122,122,123,123,125,124,
125,125,126,127,127,129,129,132,133,134,138,140,142,145,147,150,152,151,153,152,152,152,150,149,
147,146,143,143,142,139,139,137,137,136,135,135,133,133,132,129,129,126,125,121,119,115,113,108,
106,101, 99, 95, 93, 89, 87, 83, 81, 79, 75, 75, 72, 72, 72, 72, 73, 75, 78, 80, 83, 87, 89, 93,
 95, 99,100,104,104,106,106,107,105,105,104,103,102,101, 99, 98, 96, 94, 92, 90, 88, 87, 85, 85,
 83, 83, 80, 80, 77, 77, 75, 74, 75, 75, 76, 76, 78, 79, 81, 82, 84, 86, 87, 90, 91, 94, 94, 96,
 96, 98, 97, 98, 99, 99,101,101,104,104,106,107,109,112,115,118,122,126,129,133,137,139,144,146,
151,153,156,159,161,162,162,161,160,156,155,151,150,146,145,143,141,139,139,139,138,139,139,141,
141,144,145,145,147,148,150,151,154,156,158,161,163,165,168,170,172,175,177,180,182,184,185,186,
186,186,185,183,180,178,173,171,166,163,158,156,150,148,143,141,138,136,133,131,131,129,130,130,
131,132,132,133,133,133,134,134,133,134,132,132,130,128,127,124,124,122,122,122,122,124,126,128,
130,135,137,142,144,149,152,154,157,157,160,159,160,160,159,158,157,157,156,155,155,152,153,150,
150,147,147,143,142,139,135,133,129,127,124,122,118,118,115,115,114,114,115,115,117,119,120,123,
123,126,128,128,131,130,133,132,134,133,135,134,134,132,132,130,129,127,123,122,120,117,114,111,
110,108,106,105,103,104,102,103,102,103,101,102,100,101, 99, 99, 97, 96, 93, 91, 88, 86, 83, 81,
 78, 78, 76, 77, 76, 77, 76, 78, 78, 81, 82, 85, 86, 90, 91, 94, 96,100,101,105,107,112,114,118,
121,122,125,125,127,127,126,126,124,123,120,118,114,111,106,104, 99, 97, 94, 91, 89, 87, 87, 85,
 85, 84, 86, 87, 89, 93, 95,100,105,108,114,118,122,127,130,134,137,139,139,141,142,143,143,145,
146,146,149,149,153,154,155,158,160,163,164,166,167,170,170,172,171,173,171,172,170,170,169,166,
166,163,163,160,159,156,156,153,152,148,147,145,143,140,139,135,134,132,131,129,127,127,125,126,
125,127,127,129,130,132,135,137,140,143,147,151,153,157,160,161,164,165,165,166,164,164,160,159,
154,152,147,144,140,136,134,131,130,129,127,128,127,128,129,129,130,130,131,130,131,131,130,130,
130,128,129,129,130,129,131,130,131,133,132,134,135,134,135,136,136,135,135,134,134,134,133,135,
134,136,137,136,139,138,140,141,142,141,142,140,141,138,138,136,133,130,126,124,120,117,114,110,
107,103, 98, 96, 92, 89, 87, 84, 84, 82, 81, 80, 81, 81, 84, 86, 87, 91, 94, 98,101,105,108,109,
112,113,115,115,117,116,117,115,115,113,111,111,109,109,107,108,106,106,104,104,102,103,102,101,
100, 99,100, 99,100, 99,100,100, 99,100,100,102,103,102,103,102,103,101,102,100,101,100,100, 99,
100,100,100,101,101,102,102,105,105,108,110,111,115,117,121,126,129,135,138,143,147,151,153,156,
158,159,159,159,157,156,154,151,150,147,144,142,139,138,136,134,134,133,134,134,134,136,136,136,
138,138,139,140,140,142,143,145,146,148,148,150,151,153,155,155,158,159,161,160,162,162,162,163,
162,162,160,161,158,158,156,156,154,153,152,149,149,148,146,144,144,142,143,142,141,141,140,141,
141,141,140,140,138,138,135,134,130,129,125,124,121,118,117,115,114,116,116,117,120,122,126,129,
132,136,139,143,145,149,151,153,154,155,155,154,156,154,155,154,153,154,152,152,150,150,148,145,
144,141,140,137,135,133,129,128,125,124,122,122,121,121,121,122,123,123,123,124,124,125,126,126,
128,128,128,127,128,127,127,126,126,127,125,126,125,123,123,121,121,119,118,117,115,116,114,114,
113,113,113,112,113,113,112,111,111,109,108,106,103,101, 99, 95, 93, 89, 87, 85, 82, 80, 76, 76,
 73, 74, 72, 73, 72, 73, 74, 74, 76, 77, 79, 81, 84, 85, 89, 92, 95, 98,101,105,107,111,113,116,
117,119,120,121,122,120,121,121,119,119,117,117,114,114,111,110,107,106,103,101,101,100,100,100,
101,102,105,106,110,112,115,117,119,123,125,127,129,131,131,133,132,134,132,134,134,136,135,138,
138,141,142,146,147,151,154,156,160,161,165,167,170,171,173,173,175,174,175,175,174,174,174,171,
171,169,168,165,164,161,160,158,154,153,150,149,145,145,142,141,140,137,137,135,135,134,134,134,
133,135,134,136,136,137,139,140,143,144,147,149,152,152,154,154,155,155,154,153,151,150,148,146,
144,142,139,139,136,136,134,135,135,135,135,134,135,134,135,133,134,131,132,130,131,128,129,127,
127,126,127,126,128,128,129,130,130,129,130,130,131,131,131,132,132,133,133,133,134,134,135,135,
137,137,139,139,140,140,140,140,140,139,138,137,137,134,134,131,131,127,126,123,122,119,117,114,
112,108,106,104,100, 99, 95, 95, 94, 92, 93, 91, 93, 92, 94, 95, 95, 97, 98,100,100,102,103,104,
104,105,105,106,106,107,106,107,107,107,108,108,108,107,108,108,108,107,108,106,107,106,107,107,
106,106,106,107,107,107,107,106,105,105,103,102,102,100, 99, 98, 98, 98, 97, 95, 95, 95, 92, 93,
 92, 91, 92, 91, 92, 93, 92, 94, 95, 97, 99,102,104,108,111,115,118,122,126,128,132,133,136,136,
139,138,140,139,140,140,138,139,138,137,138,136,138,137,138,139,138,140,139,141,141,142,141,143,
142,143,142,143,144,143,145,144,146,146,147,147,149,149,151,151,153,154,155,157,156,158,159,159,
160,160,162,162,162,162,162,161,161,159,158,157,156,155,155,154,154,153,153,153,152,152,151,152,
151,152,151,149,148,146,144,142,140,138,136,134,133,132,132,131,132,132,133,134,136,137,139,140,
143,143,145,144,146,147,147,149,149,150,150,151,151,152,153,152,153,152,153,153,151,151,148,148,
145,144,141,141,138,137,135,133,132,129,129,127,125,124,123,121,121,120,118,118,116,116,115,115,
114,114,115,115,116,116,115,117,116,117,116,117,116,117,116,117,116,117,116,117,118,116,118,117,
119,117,118,117,118,117,115,115,113,112,109,108,105,104,102, 99, 98, 95, 94, 92, 91, 91, 89, 88,
 87, 86, 86, 85, 84, 85, 84, 86, 86, 86, 89, 89, 92, 93, 94, 97, 97,100,101,103,105,106,109,110,
112,114,114,117,117,119,119,121,121,121,120,120,118,118,116,115,113,113,111,111,110,110,110,110,
111,111,113,112,115,115,117,117,120,120,121,121,122,123,123,124,123,125,124,126,127,129,128,132,
132,135,136,138,139,142,144,145,148,148,151,152,153,155,155,156,156,157,157,158,157,158,158,156,
156,154,153,151,151,150,148,149,146,147,144,144,142,142,141,139,139,136,136,134,133,132,131,131,
130,130,132,132,135,136,137,140,140,143,144,147,148,150,150,151,151,151,150,149,150,149,149,149,
148,149,148,147,148,147,148,146,147,145,145,143,143,141,140,139,137,136,135,134,133,133,132,132,
130,131,130,132,131,132,131,133,133,134,134,136,136,136,137,137,138,140,140,142,142,143,143,144,
145,145,145,145,144,145,144,145,144,143,143,142,142,140,140,139,137,136,134,133,131,128,126,124,
120,119,116,113,112,108,108,106,104,104,102,102,102,102,101,102,101,100,100, 99,100, 99,100,100,
100,100,101,101,102,102,103,103,104,104,104,104,104,104,105,105,105,105,106,105,107,105,107,107,
107,107,107,106,106,106,105,105,103,104,103,104,102,103,102,101,101,100,100, 99, 98, 97, 97, 95,
 95, 94, 94, 92, 94, 93, 95, 95, 98, 98,102,103,107,109,112,116,119,122,123,127,128,131,131,132,
134,135,136,135,136,136,136,136,137,136,137,137,137,137,138,137,136,137,136,136,137,136,137,137,
137,138,137,138,138,139,140,139,141,141,142,142,143,143,145,145,147,149,150,152,152,155,155,157,
157,158,158,158,157,157,157,155,155,153,153,152,151,150,150,149,150,150,149,150,148,149,147,147,
145,145,142,141,138,137,134,133,131,130,127,127,127,126,126,126,126,127,126,128,128,129,129,130,
130,132,131,133,133,135,135,137,138,140,141,142,144,144,146,148,147,149,149,148,149,148,149,147,
147,147,145,144,143,141,139,138,136,135,133,132,130,128,127,124,124,123,120,120,118,119,118,117,
118,117,118,117,118,117,118,118,118,117,118,117,117,117,118,117,120,119,122,121,124,123,125,125,
126,127,126,127,126,127,126,125,125,123,123,121,120,119,117,116,113,113,111,108,107,105,104,102,
102,100,100, 98, 99, 98, 99, 99, 98, 99, 99, 98, 99, 99,100,101,101,103,103,105,106,109,109,112,
113,115,115,117,117,119,118,119,118,118,116,116,114,113,112,111,110,107,108,106,107,106,106,106,
106,107,108,109,110,110,111,111,112,112,113,113,114,114,115,115,117,117,119,120,120,123,123,125,
127,127,130,130,131,133,134,136,137,139,141,141,144,144,145,147,146,148,148,148,149,149,148,150,
148,150,149,148,149,148,149,149,149,147,148,145,146,143,143,141,139,137,136,133,134,132,132,131,
132,132,133,133,135,136,138,139,141,141,143,143,145,144,146,145,146,145,146,146,147,146,147,146,
148,147,149,148,150,148,150,148,149,148,147,146,145,143,142,141,140,138,137,135,135,133,134,132,
133,132,133,131,132,131,133,132,133,132,134,134,133,134,134,135,134,135,135,134,134,134,133,134,
133,132,132,131,132,131,132,131,132,131,132,132,133,132,133,131,131,130,129,127,127,125,125,122,
123,121,121,119,119,118,116,116,115,114,113,112,111,110,110,108,108,108,108,108,107,108,107,108,
107,109,108,109,108,109,109,110,109,110,110,111,112,111,113,112,113,112,113,112,113,112,112,112,
110,111,109,110,108,109,110,109,111,110,112,112,113,114,114,114,114,114,113,112,112,111,110,109,
107,107,106,104,104,105,104,105,105,108,109,109,111,112,114,115,117,118,120,121,123,124,124,126,
127,127,130,130,132,132,134,135,135,136,136,137,137,138,138,139,138,137,138,136,136,135,135,134,
133,133,131,131,129,130,128,128,127,128,127,129,129,131,132,134,136,138,140,142,143,145,146,148,
148,149,149,149,149,148,148,147,147,147,146,147,145,147,146,146,146,145,145,144,145,143,143,141,
141,139,139,136,137,135,135,134,133,134,133,133,133,133,134,133,134,134,134,133,133,133,131,133,
131,133,132,132,133,132,134,134,135,135,137,137,140,141,143,142,145,145,148,149,149,151,152,151,
152,151,152,150,150,148,147,145,144,141,139,137,134,134,131,131,129,129,127,128,127,127,126,125,
124,124,123,123,122,120,121,120,121,119,121,119,121,119,121,120,121,120,121,120,121,120,120,119,
120,120,119,118,119,119,118,118,117,117,115,115,113,113,113,112,110,110,109,108,108,106,107,105,
106,104,105,104,103,103,101,102, 99,100, 98, 99, 98, 99, 98,100,100,102,102,105,106,109,112,114,
115,118,120,121,122,123,124,124,123,124,122,122,121,119,119,118,116,117,116,115,115,114,114,114,
112,113,112,113,111,112,111,113,113,113,113,114,114,115,117,117,119,119,121,121,124,124,126,127,
129,129,131,132,133,135,134,136,136,137,137,137,138,137,138,138,137,138,138,139,139,140,140,142,
144,144,147,147,148,150,150,151,150,150,149,149,146,146,144,142,141,139,136,136,134,134,133,132,
132,132,133,132,134,133,134,134,135,135,136,137,136,138,138,139,139,139,141,142,143,143,144,144,
146,146,145,147,146,147,146,145,146,144,144,143,143,142,140,140,140,138,138,137,138,137,136,136,
135,136,135,136,136,137,137,137,138,138,137,139,137,138,137,137,135,135,134,133,133,131,131,131,
130,131,131,131,130,131,131,132,133,133,134,134,133,133,133,133,132,132,132,131,131,130,129,127,
127,125,124,122,121,119,119,117,117,115,114,113,112,112,110,110,110,110,110,110,109,110,110,110,
111,111,111,113,113,115,115,116,117,118,118,117,118,118,118,118,116,117,115,115,114,112,112,110,
110,110,108,109,109,109,109,111,111,112,113,114,115,116,115,116,116,115,114,114,111,111,109,109,
107,105,105,103,103,102,102,101,102,101,102,103,103,104,104,106,108,108,111,112,116,117,120,121,
124,126,129,130,133,134,136,137,137,139,139,141,140,142,140,141,140,141,139,139,137,137,134,134,
131,131,128,128,127,125,126,125,127,126,128,128,131,132,134,136,139,140,141,143,143,144,144,145,
144,145,143,144,143,144,142,144,142,144,142,144,143,144,144,145,144,145,145,144,145,144,144,143,
144,142,143,142,143,142,142,142,142,142,140,141,139,139,137,138,136,135,133,133,130,131,129,129,
127,128,128,127,129,128,130,129,132,131,134,134,137,137,141,141,144,146,146,148,149,149,149,148,
148,148,145,145,142,141,139,136,134,132,131,129,127,127,126,124,125,123,123,123,122,122,122,123,
122,123,122,122,121,122,120,121,120,119,119,117,117,116,116,114,114,113,113,112,113,113,112,113,
112,113,113,112,114,114,114,115,116,115,117,116,118,118,118,119,119,118,119,118,118,117,117,115,
114,112,111,109,107,105,104,101,100, 99, 97, 97, 98, 97, 99, 99,101,103,105,108,110,113,116,118,
121,122,125,126,127,128,128,129,127,129,127,128,126,127,125,125,124,123,122,120,120,119,117,118,
116,116,115,116,116,116,116,117,119,119,120,121,121,122,122,123,124,124,125,125,126,127,126,127,
127,128,127,128,127,128,126,127,125,126,125,124,125,124,124,125,125,126,129,130,132,134,136,139,
141,143,146,146,149,149,150,149,150,149,148,146,145,144,142,140,139,137,136,134,135,134,133,132,
133,132,134,133,135,135,137,136,139,139,139,141,141,143,143,145,145,145,147,146,147,148,146,147,
145,146,144,145,144,142,142,141,141,140,141,139,141,140,139,140,140,140,141,142,143,142,144,144,
146,146,146,148,147,148,147,148,147,145,144,143,141,139,138,136,135,132,131,130,128,128,126,127,
127,126,128,127,129,128,131,130,133,133,133,135,135,135,136,135,135,134,133,132,130,130,126,126,
123,122,119,117,115,113,111,110,109,107,107,106,105,104,105,104,105,105,106,105,107,106,108,109,
109,111,110,112,112,113,114,114,114,114,114,113,113,112,111,110,108,108,106,106,104,105,105,103,
106,105,108,107,111,111,114,114,118,118,120,120,122,121,122,122,121,121,119,119,116,116,114,112,
111,109,108,107,105,105,103,104,102,103,103,104,104,106,107,109,112,112,116,116,120,120,123,124,
126,127,129,130,129,132,130,132,131,133,132,132,132,131,131,131,129,129,127,127,126,125,124,124,
123,124,124,123,125,125,127,127,130,131,132,134,134,137,137,139,138,139,138,139,137,138,136,137,
134,135,134,132,133,131,133,133,133,134,134,136,137,138,141,141,143,143,144,145,145,147,147,146,
147,146,146,145,145,143,143,141,140,139,137,137,135,133,133,132,130,130,130,129,131,130,131,132,
132,133,134,136,137,139,141,141,144,145,148,150,150,153,152,155,154,157,155,156,155,154,153,151,
150,148,147,146,143,142,140,139,137,137,135,135,134,134,134,134,133,134,133,134,134,133,134,134,
133,134,132,133,130,131,128,128,125,126,123,123,122,120,120,119,118,118,118,118,119,119,121,120,
123,122,125,125,125,127,128,127,129,128,130,129,130,129,129,128,128,126,126,124,123,121,119,116,
115,111,110,107,106,103,102,100,100, 98,100, 99,101,101,104,104,107,108,111,112,115,117,117,119,
119,121,120,120,120,120,119,118,118,116,116,114,114,112,110,110,109,109,109,107,109,108,110,109,
112,112,113,114,115,116,116,118,118,119,117,119,117,118,116,118,117,117,115,116,114,115,114,115,
114,113,114,113,115,114,115,114,115,115,117,117,119,119,122,122,125,127,128,131,132,134,136,136,
138,139,138,140,138,140,139,138,136,136,133,133,131,130,130,128,129,128,128,127,129,127,129,130,
130,131,131,133,133,135,136,136,138,138,139,141,140,142,140,142,140,141,139,139,137,138,136,137,
136,135,136,136,136,136,136,137,137,138,138,139,139,140,140,141,141,142,142,143,144,144,144,145,
145,145,144,145,142,143,140,140,137,137,135,134,131,131,129,129,128,128,127,128,127,128,129,128,
131,131,132,134,136,136,138,138,140,140,141,142,140,141,140,140,138,138,135,135,132,132,129,129,
127,126,124,124,123,123,123,123,124,122,124,124,124,125,124,125,124,126,125,125,125,125,125,125,
125,125,125,125,124,125,123,124,123,122,122,122,120,120,119,119,119,118,119,118,120,120,121,123,
124,126,126,128,130,130,132,132,133,133,133,133,132,131,130,129,128,127,125,124,122,120,119,116,
114,113,111,111,111,109,110,109,111,110,112,112,114,114,116,116,118,118,119,119,120,119,120,120,
118,119,118,119,117,118,117,118,118,116,117,116,117,116,117,115,116,114,116,115,115,115,115,116,
115,117,116,118,118,119,119,121,122,122,123,123,123,123,123,122,122,121,121,120,121,119,120,119,
120,119,121,121,123,123,126,126,129,128,131,131,134,135,135,137,137,139,139,141,140,141,140,141,
139,139,137,137,135,134,133,131,132,130,130,129,130,128,130,129,131,130,132,131,134,133,135,135,
136,136,137,139,139,140,139,141,141,142,143,143,144,144,144,145,143,144,143,144,143,143,144,143,
144,142,143,142,143,141,143,142,142,141,142,142,140,141,139,140,138,139,137,137,134,135,132,132,
130,128,126,125,123,121,119,118,116,116,116,114,115,114,114,115,115,115,118,117,119,119,121,121,
122,123,124,123,125,125,124,126,125,126,125,127,126,127,126,127,127,125,126,124,125,123,124,123,
122,121,121,120,121,119,121,120,122,122,123,123,124,125,125,127,128,128,129,129,130,130,131,132,
131,132,131,132,131,130,130,129,129,127,128,126,127,126,125,126,126,127,127,128,128,129,129,131,
131,130,131,131,131,131,129,130,127,128,125,124,124,123,121,121,120,119,119,117,118,117,118,116,
118,117,117,117,117,117,116,116,116,117,117,118,117,119,118,120,119,121,121,123,122,123,124,124,
125,124,124,124,124,122,124,123,123,123,122,123,124,122,124,124,123,124,123,124,124,125,124,125,
124,125,124,125,124,126,124,124,125,124,124,123,124,123,122,123,123,124,123,124,125,126,127,128,
129,131,132,134,135,135,137,137,139,138,140,140,140,141,141,141,141,141,140,140,140,139,139,139,
138,137,138,136,137,137,136,136,135,136,135,135,135,134,135,135,134,135,134,133,134,135,134,135,
134,136,134,136,135,136,135,136,135,134,134,133,133,132,131,130,128,128,127,126,125,125,125,125,
126,124,126,126,126,127,127,127,127,126,127,127,126,126,124,125,124,124,122,123,122,121,122,120,
121,120,121,119,121,120,119,120,119,120,119,120,119,120,119,120,121,120,122,121,123,122,124,124,
125,124,125,125,126,127,126,127,127,126,127,127,126,126,125,125,124,124,123,123,121,121,120,120,
120,118,119,119,118,120,119,121,120,122,121,123,122,124,123,124,124,124,124,123,123,124,122,123,
122,123,124,124,126,126,127,126,128,127,129,129,129,128,129,128,127,128,126,126,125,125,123,124,
123,124,122,123,123,121,122,122,122,121,122,122,122,122,122,121,123,122,124,125,126,126,126,128,
129,129,130,131,130,132,133,134,133,135,136,136,137,137,138,137,138,137,138,138,137,137,136,136,
135,134,135,134,133,134,133,134,133,133,134,134,134,135,134,135,135,136,135,136,134,136,134,135,
133,135,134,133,134,134,132,133,133,133,134,133,135,135,136,135,137,138,138,139,139,140,141,140,
141,142,140,141,140,141,139,140,137,138,137,135,135,133,133,132,130,130,127,127,126,123,123,121,
121,119,119,116,117,115,116,115,115,115,115,116,116,118,118,120,119,121,120,122,121,122,121,122,
121,122,120,120,120,119,120,120,119,120,119,120,120,121,123,121,124,123,123,124,123,124,124,125,
124,125,124,124,124,123,124,123,123,123,123,122,122,122,122,121,123,123,122,124,124,125,126,126,
128,127,129,129,129,130,129,130,130,131,131,130,131,131,130,132,131,132,131,132,131,132,131,130,
129,128,127,126,125,123,122,120,120,118,118,116,117,116,117,116,116,117,116,117,117,118,117,118,
117,119,117,118,117,118,117,116,117,116,117,116,116,116,116,116,117,116,117,116,118,117,119,118,
120,121,122,121,123,124,124,125,126,127,127,129,128,130,130,131,131,131,132,131,132,132,132,132,
132,132,130,131,131,129,129,128,129,128,127,128,127,128,128,129,130,131,132,134,135,137,137,139,
140,142,142,144,144,146,145,147,146,146,146,145,145,145,144,144,143,143,143,142,143,142,143,142,
144,142,144,144,144,145,146,145,146,145,145,145,144,143,143,141,141,140,139,139,137,137,135,134,
134,132,133,131,131,131,129,130,128,129,127,127,126,126,125,125,124,125,123,124,123,124,124,122,
123,122,123,122,121,121,120,120,118,118,116,115,113,113,113,112,112,112,111,112,112,112,113,113,
115,114,116,117,117,118,118,120,120,120,121,122,121,123,121,122,122,121,121,120,120,120,119,120,
119,120,120,120,122,122,123,122,124,124,126,126,126,127,126,128,127,127,126,127,125,126,125,126,
125,124,125,124,124,123,123,122,122,121,121,119,119,118,118,117,117,116,117,116,117,116,118,118,
120,120,122,123,123,125,125,127,126,128,128,127,128,127,127,127,125,125,123,123,121,121,120,118,
119,117,118,117,116,117,116,117,117,116,118,117,120,120,120,122,122,123,123,124,125,124,125,125,
126,127,127,126,128,127,128,127,128,127,127,126,127,125,126,125,126,125,126,126,126,127,128,128,
130,129,131,132,134,133,136,135,137,138,138,139,138,139,138,139,138,139,137,138,136,137,135,136,
134,134,133,133,132,133,133,134,136,136,139,139,142,143,143,145,145,147,147,149,149,150,150,150,
149,148,148,147,147,147,145,145,143,143,142,141,141,140,138,138,137,135,134,131,132,131,130,132,
133,135,136,139,140,142,143,143,145,145,146,146,145,146,146,144,145,144,144,143,144,143,145,144,
145,143,144,142,143,141,142,139,140,137,138,136,135,133,131,128,127,125,125,124,123,124,122,123,
120,117,115,113,113,113,115,116,118,119,121,119,120,118,119,118,118,119,119,120,120,119,116,115,
112,110,107,107,104,103,100,100, 97, 95, 93, 92, 89, 90, 87, 88, 87, 87, 88, 87, 89, 89, 92, 93,
 95, 98,100,103,104,106,107,109,109,110,109,109,108,108,106,107,106,104,103,103,101,101, 99, 99,
 97, 96, 93, 93, 91, 92, 90, 91, 91, 89, 90, 89, 91, 90, 93, 94, 97,100,102,104,105,108,108,110,
112,111,113,112,113,112,113,112,111,112,111,112,112,111,109,110,108,109,109,111,111,113,114,117,
120,123,126,130,133,137,139,142,144,145,146,146,147,146,147,146,147,147,145,147,147,148,150,152,
156,158,162,165,169,173,174,177,177,178,178,176,177,175,176,174,176,175,177,176,177,176,177,176,
174,173,170,166,163,159,156,152,150,146,143,140,136,133,129,128,125,126,124,125,126,127,128,128,
131,132,133,135,136,137,137,138,137,138,137,139,138,139,138,139,139,138,138,137,137,137,136,137,
137,138,141,142,145,148,149,152,154,157,159,161,165,165,168,166,167,163,163,161,161,161,163,165,
166,167,168,168,168,166,166,164,164,164,162,159,158,156,153,152,148,146,144,142,142,140,142,140,
142,140,143,142,145,144,146,146,147,145,143,140,136,133,127,122,118,112,107,102, 96, 92, 86, 81,
 75, 72, 68, 66, 63, 63, 62, 62, 63, 65, 67, 70, 72, 75, 78, 80, 82, 83, 82, 84, 84, 84, 85, 86,
 84, 85, 83, 84, 84, 83, 84, 85, 84, 86, 84, 83, 83, 81, 79, 78, 76, 75, 73, 72, 71, 70, 70, 70,
 71, 73, 74, 77, 80, 81, 86, 88, 93, 96,101,104,106,109,110,113,113,113,113,111,110,108,104,103,
101, 99, 99, 99, 98,100,101,103,105,109,112,116,120,125,128,132,134,138,139,142,142,143,143,141,
140,137,136,135,135,134,135,136,137,138,142,144,150,154,158,163,166,170,172,175,178,179,184,185,
188,188,191,192,192,194,195,194,196,196,196,197,195,196,194,191,189,185,182,178,175,170,167,163,
159,155,151,149,145,143,141,140,140,138,137,135,134,133,131,131,129,130,129,130,128,128,125,124,
121,119,118,117,114,113,110,107,104,102, 99, 98, 98,100,102,104,110,112,118,120,124,126,129,130,
132,134,137,137,141,141,144,145,145,147,148,151,151,154,154,157,158,160,160,162,162,164,164,165,
163,163,161,160,159,156,156,154,154,154,154,156,158,158,161,161,164,163,165,165,163,162,158,157,
151,149,143,140,134,129,122,115,109,103, 99, 93, 90, 85, 84, 80, 80, 77, 78, 78, 79, 81, 83, 86,
 87, 90, 91, 93, 93, 94, 94, 92, 92, 90, 89, 87, 86, 84, 83, 81, 80, 78, 77, 75, 75, 73, 72, 69,
 69, 66, 66, 63, 61, 60, 59, 59, 59, 59, 60, 62, 63, 67, 69, 74, 78, 83, 86, 92, 95,101,104,109,
110,114,114,116,114,114,112,111,108,106,104,100, 98, 94, 94, 92, 91, 92, 94, 96, 99,102,105,108,
114,117,122,125,128,129,130,130,127,127,123,120,117,113,111,109,108,107,107,109,110,111,115,117,
123,127,132,137,142,147,152,155,160,162,167,170,173,177,179,184,186,190,191,194,196,197,199,200,
200,200,196,195,190,188,184,180,177,174,171,169,165,163,161,158,155,154,154,152,154,154,154,154,
152,152,149,148,146,146,144,146,144,145,143,142,138,134,130,126,121,116,113,108,106,104,101,101,
101,103,104,107,110,113,115,117,119,122,123,125,126,127,127,129,130,129,131,130,132,132,134,134,
136,137,140,141,143,144,145,146,146,145,146,144,143,141,141,140,139,140,141,143,145,146,150,151,
155,157,159,163,164,168,168,170,169,170,166,165,160,158,152,149,143,138,131,126,120,116,112,107,
106,103,104,103,106,107,110,112,115,117,120,120,121,123,122,123,121,121,119,118,113,113,108,107,
103,101, 97, 96, 92, 90, 88, 85, 84, 81, 80, 78, 77, 75, 74, 71, 70, 67, 66, 64, 64, 63, 62, 64,
 64, 67, 69, 72, 74, 79, 81, 86, 90, 93, 96, 99,102,104,106,106,107,106,104,104,102,101,101, 99,
 98, 97, 98, 98,100,102,107,110,115,119,125,128,132,136,137,140,138,139,136,135,132,128,125,121,
118,114,113,111,112,111,114,114,118,121,124,128,132,137,141,146,150,154,159,161,165,167,169,171,
176,179,184,188,192,197,198,200,201,201,202,202,202,203,201,200,198,194,191,187,186,183,183,182,
180,180,179,178,177,175,174,172,170,169,168,167,167,166,165,166,163,164,161,160,156,154,148,144,
137,132,125,119,111,107,102, 99, 96, 94, 92, 92, 93, 95, 97,101,105,107,111,113,117,118,121,122,
124,125,125,126,125,126,125,126,127,127,130,130,132,133,133,134,133,134,134,132,133,131,131,129,
129,127,125,125,124,124,124,126,127,128,132,134,138,142,145,150,152,157,160,162,164,165,166,166,
163,162,158,156,152,147,144,140,136,133,129,128,126,126,126,127,127,129,130,133,133,134,132,133,
131,128,127,124,121,116,111,108,102, 99, 92, 89, 83, 80, 76, 72, 71, 68, 67, 65, 65, 63, 62, 62,
 61, 61, 60, 60, 59, 59, 60, 59, 60, 59, 60, 60, 62, 64, 66, 69, 69, 73, 73, 76, 77, 81, 84, 86,
 90, 91, 94, 95, 94, 94, 92, 91, 89, 86, 86, 84, 83, 82, 82, 81, 83, 82, 85, 86, 89, 90, 93, 94,
 96, 97, 95, 96, 93, 94, 91, 92, 91, 92, 92, 92, 94, 96,101,105,112,118,127,135,142,149,155,158,
164,166,171,172,176,178,177,178,177,175,173,171,170,169,167,169,169,170,172,173,173,175,175,177,
179,180,184,185,189,190,193,194,198,199,202,201,202,200,197,194,189,184,177,172,165,161,155,151,
145,143,139,138,135,133,132,131,129,130,129,130,130,132,133,135,136,139,140,143,145,145,149,150,
153,153,155,154,152,149,144,139,132,127,118,113,106,101, 95, 92, 89, 88, 87, 88, 89, 93, 98,105,
110,118,125,130,135,141,146,150,154,157,158,158,160,159,156,155,150,147,142,139,134,131,127,125,
121,121,120,119,120,120,121,123,124,128,130,133,134,136,136,137,137,136,135,135,134,135,134,135,
134,133,131,130,128,125,124,121,117,115,111,108,106,104,102, 99, 97, 97, 95, 97, 97,100,101,102,
105,108,110,113,115,119,120,122,122,122,120,118,115,110,106,100, 96, 90, 83, 78, 70, 66, 59, 56,
 51, 50, 47, 48, 49, 50, 54, 57, 63, 67, 73, 78, 83, 89, 92, 96, 97, 98, 98, 96, 97, 96, 95, 95,
 93, 93, 91, 90, 89, 86, 87, 86, 89, 90, 93, 96, 97,100, 99,100, 99,100, 99,101,103,105,107,111,
113,117,119,123,127,130,134,138,141,144,145,147,147,145,144,143,140,140,137,137,137,137,139,142,
144,149,152,158,162,168,172,177,181,186,189,194,197,200,204,208,210,214,216,218,218,218,215,212,
207,203,197,192,186,180,176,172,169,166,164,163,160,161,159,160,160,159,161,162,161,162,159,158,
155,153,150,149,148,145,145,143,143,140,141,139,139,136,134,131,128,125,121,120,115,114,111,109,
109,108,111,114,117,122,127,133,138,145,150,154,159,164,167,171,173,174,174,172,170,165,161,155,
150,142,136,129,123,116,111,106,103,100,100,100,103,107,111,118,124,132,139,145,151,155,160,164,
167,169,170,170,169,166,164,160,157,151,148,142,138,133,127,123,117,113,110,106,103,100, 98, 97,
 95, 94, 93, 93, 92, 92, 94, 94, 97, 98,101,102,105,106,105,106,106,104,104,101, 99, 95, 89, 85,
 78, 74, 68, 63, 59, 53, 50, 45, 43, 39, 38, 37, 39, 41, 47, 53, 61, 68, 76, 82, 90, 96,101,108,
112,115,119,120,119,118,114,109,103, 95, 90, 84, 81, 75, 73, 69, 68, 66, 66, 67, 66, 69, 69, 72,
 74, 75, 78, 79, 81, 84, 85, 88, 90, 95, 98,102,107,111,115,120,124,129,131,134,135,137,137,139,
138,140,139,141,141,144,147,150,155,159,164,170,174,179,183,188,190,193,195,197,199,200,202,202,
204,204,205,203,202,198,196,192,186,182,175,171,166,161,157,153,152,151,149,151,152,153,158,161,
166,170,174,177,181,184,186,187,187,186,186,184,181,180,176,174,169,166,161,157,154,150,147,142,
138,133,130,125,122,118,115,112,111,108,109,109,110,110,113,114,118,122,125,129,133,137,141,144,
147,149,151,150,150,148,148,145,143,139,136,132,129,125,123,121,118,118,118,120,122,127,132,136,
143,147,155,161,165,171,173,176,175,176,174,170,167,161,156,148,141,132,124,114,107, 98, 92, 86,
 82, 78, 77, 76, 74, 75, 76, 77, 81, 83, 88, 91, 96, 98,103,105,109,112,114,117,119,123,123,125,
124,121,119,114,111,105,102, 97, 92, 87, 80, 75, 68, 62, 54, 50, 44, 42, 38, 38, 36, 37, 37, 40,
 43, 47, 51, 56, 60, 66, 71, 77, 81, 85, 86, 87, 88, 86, 83, 80, 76, 72, 68, 62, 60, 57, 56, 54,
 55, 55, 59, 61, 68, 73, 80, 87, 95,102,109,116,122,128,131,136,137,140,142,143,145,145,146,144,
145,141,140,137,133,129,124,120,114,111,105,103,101, 99,101,104,106,112,117,125,132,139,148,155,
162,171,177,185,190,196,202,205,210,211,214,215,214,213,210,208,203,200,195,191,184,179,172,168,
163,159,158,157,155,157,158,162,163,168,171,176,178,182,184,185,186,185,183,178,175,170,165,158,
153,145,140,134,128,123,118,113,110,107,106,104,104,106,105,108,110,112,117,121,125,132,136,143,
149,155,162,166,172,175,180,182,183,185,184,183,180,176,171,164,159,151,144,136,129,122,116,109,
104,100, 97, 96, 96, 98,101,107,111,118,125,133,141,150,159,167,173,181,186,190,192,192,190,188,
183,179,173,168,161,155,149,142,137,132,127,125,124,123,124,124,125,125,126,126,127,127,129,130,
132,132,133,132,129,128,123,120,114,109,104, 97, 91, 85, 76, 70, 63, 56, 51, 45, 42, 38, 34, 33,
 32, 32, 33, 35, 37, 39, 43, 47, 52, 59, 66, 74, 82, 89, 98,105,113,118,124,125,127,125,124,120,
115,107,101, 92, 84, 75, 67, 59, 54, 47, 45, 42, 41, 43, 45, 48, 53, 57, 64, 68, 74, 81, 85, 91,
 94, 98,101,103,107,109,113,113,116,116,118,117,117,115,114,111,109,108,106,106,106,106,110,112,
118,122,129,135,143,149,158,166,173,181,187,193,198,203,206,207,209,209,207,206,202,200,194,191,
184,179,171,165,157,151,144,139,132,129,127,124,125,125,129,132,138,144,152,160,166,175,181,189,
194,199,203,204,206,205,204,200,197,192,186,179,174,167,163,156,152,147,144,139,136,133,131,129,
129,129,128,129,128,129,129,131,131,133,134,136,137,138,139,139,138,137,136,136,135,135,134,131,
130,127,125,121,118,115,114,112,113,114,114,116,117,121,124,129,133,140,146,154,161,169,176,181,
188,191,195,197,198,198,195,192,186,178,170,160,151,141,133,125,118,111,106,101, 98, 95, 94, 92,
 93, 94, 94, 97, 99,103,106,110,113,116,118,121,122,124,124,125,124,123,121,119,115,114,110,106,
103, 99, 95, 94, 92, 90, 90, 88, 87, 86, 85, 83, 82, 79, 78, 76, 74, 74, 74, 75, 75, 77, 78, 80,
 80, 82, 84, 83, 83, 80, 79, 75, 72, 67, 63, 59, 53, 49, 44, 40, 36, 35, 34, 36, 39, 42, 49, 55,
 64, 71, 82, 90,100,108,117,123,131,135,141,144,148,150,151,152,151,151,149,146,142,138,132,128,
121,118,113,109,106,103,102,100,101,103,104,108,111,116,120,125,132,138,145,149,156,160,166,169,
174,175,178,178,180,180,180,181,180,178,178,177,175,176,173,173,172,171,172,172,173,175,177,179,
182,184,188,192,194,199,201,205,207,206,207,203,200,194,187,180,171,163,154,143,133,124,114,107,
100, 94, 89, 88, 85, 86, 86, 87, 90, 92, 97,100,107,112,120,125,132,137,143,147,152,154,158,161,
163,165,167,165,166,164,163,160,159,155,154,151,149,147,142,140,135,133,130,128,126,124,124,122,
122,121,122,122,124,124,129,130,136,138,143,145,147,146,147,145,143,141,137,134,129,126,122,120,
117,115,115,114,115,116,118,120,124,127,133,137,141,146,151,154,158,159,162,161,161,159,158,154,
148,143,134,127,118,109, 99, 89, 80, 71, 64, 57, 52, 47, 43, 41, 38, 38, 36, 37, 35, 37, 37, 39,
 40, 42, 45, 47, 52, 55, 61, 64, 70, 73, 79, 83, 86, 91, 93, 96, 98, 98, 99, 97, 96, 93, 89, 88,
 83, 82, 78, 77, 75, 76, 76, 79, 81, 85, 88, 92, 95, 97,101,103,105,106,107,105,106,104,103,101,
 99, 97, 93, 92, 88, 87, 84, 81, 80, 79, 79, 79, 82, 83, 87, 92, 96,102,108,117,123,133,141,151,
160,169,178,186,194,199,205,207,212,213,214,214,214,213,210,206,203,198,194,188,184,179,176,171,
168,163,159,155,152,148,147,145,145,145,147,148,152,155,158,162,166,169,174,176,180,180,182,181,
179,176,172,170,165,163,160,158,155,155,153,151,150,150,152,152,155,157,158,161,162,163,165,165,
166,165,166,164,161,159,154,150,144,138,131,126,120,115,110,106,101, 98, 95, 94, 92, 93, 94, 95,
 98,100,104,108,111,115,118,123,127,131,135,138,145,149,156,161,167,174,178,184,188,189,191,193,
191,191,187,185,181,177,172,167,162,156,152,147,144,141,136,135,131,131,128,128,127,127,128,128,
128,129,129,130,130,130,129,126,124,121,116,113,107,103, 98, 92, 89, 85, 84, 83, 83, 85, 85, 89,
 90, 95, 98,101,105,107,111,112,114,113,114,113,112,109,108,104,101, 97, 92, 87, 84, 78, 74, 69,
 65, 59, 54, 48, 43, 37, 33, 28, 23, 21, 18, 15, 16, 16, 19, 22, 28, 33, 41, 47, 57, 63, 73, 81,
 89, 96,103,108,114,118,124,127,129,131,131,132,130,130,127,126,124,123,120,120,117,116,115,113,
112,111,111,113,114,117,119,121,124,126,128,131,132,135,136,138,140,140,139,140,138,138,137,137,
137,138,140,141,144,147,149,153,156,160,165,171,175,181,184,189,192,197,200,206,211,215,219,224,
226,230,232,231,231,228,226,222,216,209,202,193,184,175,164,156,146,140,133,126,121,117,112,110,
109,107,109,109,112,114,119,122,127,129,134,137,139,141,142,143,143,142,141,139,137,135,134,131,
130,128,128,127,130,131,134,137,140,144,147,149,151,152,153,154,153,153,152,149,148,145,144,140,
139,135,134,130,129,126,123,119,118,114,112,109,107,105,104,103,103,103,105,106,109,111,115,119,
123,128,132,138,142,148,153,158,163,168,173,176,180,181,184,183,181,177,172,167,159,152,143,135,
125,119,109,104, 96, 92, 86, 82, 79, 76, 74, 73, 72, 71, 72, 71, 72, 72, 70, 70, 68, 67, 64, 62,
 59, 58, 56, 53, 53, 51, 52, 51, 53, 54, 54, 57, 59, 61, 63, 65, 67, 69, 70, 73, 74, 76, 79, 81,
 86, 88, 93, 94, 99,100,104,104,108,108,109,107,107,104,101, 96, 92, 88, 82, 78, 74, 70, 66, 64,
 60, 57, 56, 53, 54, 53, 56, 57, 61, 64, 69, 74, 79, 85, 93,100,109,117,125,134,142,150,157,161,
168,171,175,178,179,181,180,181,180,181,179,181,181,182,184,184,186,186,186,185,185,183,183,181,
180,178,177,175,173,172,170,169,169,167,168,168,167,167,165,164,163,161,160,158,157,156,155,155,
154,155,155,156,156,159,160,164,165,170,172,177,180,185,188,191,193,196,196,197,196,196,193,190,
186,180,174,165,158,148,141,132,124,116,110,103,100, 97, 96, 95, 97, 98,101,104,108,111,115,118,
122,124,128,129,133,134,136,138,140,141,144,144,147,147,150,151,152,154,155,157,157,160,161,163,
163,166,167,169,168,171,170,172,171,172,170,170,167,165,162,160,157,154,151,149,145,142,138,134,
130,124,119,113,108,101, 97, 91, 86, 84, 79, 79, 75, 76, 75, 77, 78, 83, 86, 93, 97,105,111,116,
123,127,131,134,137,137,136,133,130,123,119,111,106, 98, 93, 86, 81, 75, 71, 67, 61, 58, 53, 50,
 45, 44, 41, 38, 37, 35, 32, 32, 31, 30, 33, 33, 37, 39, 44, 46, 51, 52, 57, 58, 61, 62, 65, 66,
 68, 70, 70, 73, 74, 77, 78, 83, 85, 91, 95, 98,102,105,109,112,116,119,123,126,130,132,135,137,
138,140,141,142,143,142,143,142,139,137,133,129,124,120,115,112,108,107,106,107,107,109,113,116,
122,127,134,140,147,153,160,165,172,176,182,186,191,194,199,202,204,207,209,209,211,209,209,207,
206,203,202,201,197,196,192,191,187,183,180,175,172,168,165,162,160,157,155,152,151,149,147,146,
144,144,143,143,142,142,140,139,137,135,131,129,126,122,120,117,113,112,109,110,110,111,114,117,
123,127,134,140,148,153,161,165,171,173,177,178,179,177,177,173,171,165,161,154,150,142,137,131,
124,120,115,110,107,103,102, 99,100, 99,101,104,105,110,113,118,122,125,130,134,136,140,143,148,
151,155,158,161,163,165,167,166,168,168,167,167,165,164,161,160,156,154,151,146,143,140,136,134,
130,129,126,124,124,123,122,124,124,125,123,122,119,114,110,104, 99, 91, 84, 76, 68, 61, 53, 48,
 41, 38, 34, 34, 33, 35, 36, 39, 42, 45, 49, 53, 58, 63, 69, 73, 79, 84, 87, 92, 95,100,103,106,
110,111,111,112,110,108,105, 99, 96, 91, 85, 82, 76, 74, 69, 66, 62, 59, 57, 55, 54, 55, 55, 57,
 57, 60, 61, 64, 66, 69, 72, 75, 79, 84, 87, 93, 96,102,106,109,113,115,119,120,122,125,125,128,
128,131,132,136,138,144,147,154,160,165,172,178,185,190,195,198,202,203,206,207,206,206,203,202,
199,194,190,183,178,171,166,160,156,150,148,145,141,140,138,138,137,139,139,142,144,146,150,153,
158,161,166,169,174,177,180,184,186,190,193,194,197,197,198,198,196,194,190,187,182,178,171,166,
158,153,145,138,132,126,122,118,115,114,113,114,114,117,120,122,125,127,130,131,134,134,135,134,
131,130,128,124,123,119,118,115,114,114,112,113,113,115,117,120,125,130,134,142,147,154,159,166,
170,176,180,184,186,189,189,190,188,187,184,181,176,170,166,159,152,146,138,132,126,120,117,111,
108,105,100, 98, 93, 91, 88, 87, 85, 87, 86, 90, 93, 96,101,105,111,116,123,127,133,137,140,140,
141,138,137,132,128,124,118,113,108,103, 98, 94, 90, 86, 84, 81, 80, 80, 79, 78, 78, 76, 75, 73,
 73, 71, 71, 70, 70, 68, 69, 67, 65, 63, 62, 58, 57, 53, 52, 48, 47, 44, 43, 40, 40, 40, 40, 42,
 43, 47, 50, 56, 60, 67, 73, 79, 86, 92, 97,104,109,115,119,124,127,131,135,135,138,139,139,139,
138,134,133,130,125,122,116,112,106,102, 97, 95, 91, 91, 90, 92, 94, 96,101,105,111,118,124,132,
137,145,151,157,165,169,174,177,181,181,184,183,184,183,183,182,182,181,181,180,181,182,181,183,
183,186,188,190,192,195,195,198,199,199,199,198,198,195,194,191,187,184,180,176,170,165,159,155,
150,146,140,137,131,127,122,117,115,111,108,105,103,101,102,101,104,106,109,115,119,127,134,141,
148,156,162,169,173,177,179,182,183,181,180,177,173,168,163,156,151,144,139,133,127,123,118,115,
112,111,109,111,112,113,116,118,122,123,127,129,132,135,137,140,141,143,143,143,142,139,138,136,
134,134,132,133,133,133,135,135,137,138,141,142,145,147,147,149,149,150,149,151,151,153,154,154,
157,156,158,157,157,154,152,148,144,138,131,124,114,105, 95, 86, 77, 68, 60, 55, 48, 45, 41, 39,
 40, 39, 41, 42, 45, 50, 53, 59, 63, 68, 75, 79, 85, 90, 93, 98,100,103,105,106,106,105,103,102,
100, 97, 94, 90, 86, 84, 80, 79, 77, 75, 75, 74, 74, 74, 75, 75, 78, 78, 81, 81, 84, 84, 84, 86,
 87, 86, 87, 85, 87, 85, 86, 85, 84, 84, 83, 83, 81, 81, 81, 80, 82, 83, 83, 86, 87, 92, 95,102,
107,113,121,128,138,146,156,165,175,183,192,199,206,211,214,217,216,216,214,210,206,201,196,189,
182,174,169,162,157,151,148,145,142,140,140,140,142,145,147,150,154,159,162,167,170,174,178,180,
183,183,185,186,185,185,184,184,183,181,181,179,179,178,176,176,173,172,169,166,162,160,155,153,
150,147,147,144,144,143,142,143,143,144,144,145,145,144,142,141,139,135,131,128,124,119,116,110,
106,101, 95, 92, 88, 87, 85, 86, 87, 90, 93, 97,102,107,113,121,128,136,145,153,160,168,174,179,
182,186,187,187,187,184,182,177,172,166,161,155,150,146,140,137,133,131,126,125,121,120,116,115,
112,112,109,109,107,107,106,107,109,110,112,114,116,119,120,122,123,123,122,120,119,115,113,110,
106,104,100, 97, 95, 93, 92, 91, 91, 92, 92, 93, 95, 96, 99, 99,102,102,104,104,105,104,103,102,
 99, 96, 92, 88, 84, 77, 73, 66, 61, 55, 48, 43, 38, 33, 30, 26, 24, 23, 23, 25, 26, 31, 34, 40,
 46, 52, 60, 66, 74, 80, 85, 92, 98,102,108,111,115,118,120,122,122,124,124,123,122,121,118,118,
115,114,111,108,107,104,102,100,100, 98, 99,100,103,104,109,112,118,123,128,134,138,144,148,152,
155,159,160,162,163,162,163,162,162,163,161,162,160,161,161,163,163,167,168,173,176,182,187,191,
198,203,209,213,219,222,226,227,229,226,225,221,217,210,206,199,194,187,182,175,170,164,159,155,
150,145,141,137,133,129,126,121,120,117,117,116,118,119,123,126,130,133,137,140,143,148,153,156,
161,163,166,167,168,167,168,166,165,162,160,158,154,152,148,146,142,139,137,134,134,133,133,133,
133,133,135,136,139,140,143,144,144,145,143,142,139,137,132,129,124,121,116,114,111,109,107,107,
107,109,111,114,117,122,124,130,133,138,140,145,147,149,153,154,158,159,161,163,164,163,164,162,
161,158,156,151,147,142,135,130,121,115,108,101, 92, 87, 80, 76, 70, 67, 64, 62, 60, 59, 58, 60,
 60, 62, 63, 66, 67, 70, 72, 74, 76, 77, 78, 80, 80, 81, 82, 81, 82, 81, 81, 80, 77, 78, 75, 76,
 75, 74, 75, 76, 76, 79, 81, 82, 86, 88, 91, 92, 96, 96, 99, 98,100, 99, 99, 97, 95, 91, 90, 85,
 83, 79, 76, 72, 70, 66, 65, 62, 61, 59, 59, 58, 59, 60, 61, 63, 65, 69, 72, 76, 83, 88, 96,102,
112,119,129,136,146,154,161,168,175,179,185,188,190,193,193,194,193,190,188,184,181,179,174,171,
167,163,160,157,155,153,154,153,156,156,160,162,166,168,171,172,175,175,177,175,175,173,171,168,
166,163,163,162,161,162,162,165,165,166,167,168,169,170,172,174,174,177,177,179,179,178,180,179,
178,178,177,176,174,172,169,167,165,160,158,153,150,145,141,136,132,126,122,118,113,110,107,103,
101, 99, 97, 96, 95, 96, 96,100,103,106,112,116,123,128,134,140,145,150,155,159,162,163,166,166,
164,164,163,160,159,156,153,152,149,150,148,148,148,148,148,147,148,147,146,146,144,143,140,138,
135,133,131,127,125,122,120,116,115,111,111,108,106,105,102,102,100, 99, 97, 97, 94, 95, 93, 95,
 94, 96, 96, 99,101,103,107,108,113,114,118,120,120,122,121,122,122,119,118,115,113,109,106,101,
 98, 92, 87, 81, 75, 69, 62, 57, 52, 46, 43, 39, 38, 36, 35, 36, 36, 39, 41, 45, 48, 53, 56, 61,
 65, 67, 72, 74, 78, 80, 82, 83, 86, 86, 88, 89, 90, 92, 93, 94, 97, 98,101,102,105,105,107,107,
108,110,111,111,113,114,116,116,119,120,120,122,124,123,126,126,129,128,130,129,130,130,130,130,
130,132,131,133,131,133,132,135,134,137,138,141,144,148,152,155,161,166,174,180,189,195,203,209,
214,218,220,222,222,222,219,217,214,211,207,202,198,193,190,185,182,179,174,173,168,168,163,163,
159,158,155,154,153,150,149,146,144,143,140,139,137,136,136,133,134,133,132,132,132,133,133,135,
136,137,139,141,142,144,145,148,148,151,151,153,152,154,154,155,155,156,156,157,157,157,157,157,
157,157,156,156,155,151,150,147,142,137,132,127,122,117,114,111,107,106,103,105,104,108,110,113,
118,121,127,130,136,139,144,146,150,150,154,155,156,157,157,157,157,156,156,155,155,153,151,150,
147,146,142,141,136,134,129,127,122,120,115,114,110,109,105,104,101,100, 98, 94, 92, 88, 86, 81,
 80, 75, 74, 71, 70, 67, 66, 64, 64, 62, 62, 61, 61, 60, 60, 60, 59, 60, 60, 62, 63, 65, 69, 71,
 76, 79, 84, 88, 91, 95, 98,101,103,105,106,106,105,104,100, 97, 94, 88, 85, 80, 77, 72, 70, 66,
 62, 60, 58, 55, 55, 53, 54, 55, 54, 56, 56, 59, 59, 62, 65, 67, 72, 75, 80, 83, 88, 91, 96, 99,
103,109,112,118,122,127,131,135,140,144,149,154,156,162,163,168,168,171,171,172,172,171,172,172,
172,174,174,176,176,178,179,181,180,181,180,180,178,176,173,169,165,162,158,156,153,150,149,147,
145,146,146,147,150,153,155,161,164,168,173,177,181,184,188,191,191,194,193,194,193,193,191,189,
185,182,178,174,170,166,161,158,154,151,147,145,142,138,137,135,132,132,129,129,127,126,125,122,
122,121,119,119,117,118,118,119,121,122,125,127,129,132,133,136,138,140,141,142,142,142,143,143,
144,145,146,147,150,153,157,160,163,167,169,173,175,176,177,177,176,174,171,169,164,160,154,149,
143,138,133,128,124,119,116,112,110,107,104,104,101,101, 99,101,100,103,103,106,109,111,114,117,
118,122,124,124,127,127,129,127,128,127,125,124,122,121,119,118,116,115,113,110,108,104,102, 98,
 96, 93, 88, 86, 82, 79, 77, 72, 71, 68, 66, 66, 65, 63, 64, 62, 63, 61, 62, 59, 60, 58, 59, 57,
 57, 55, 55, 53, 54, 53, 54, 55, 58, 59, 63, 66, 70, 73, 78, 82, 87, 91, 97,102,106,108,113,114,
117,117,120,119,121,120,120,118,118,115,113,109,108,105,104,102,102,102,103,103,105,107,107,110,
111,114,115,118,118,121,122,126,128,132,135,139,145,149,155,159,164,170,173,178,181,185,187,189,
191,191,192,192,192,190,190,189,187,185,185,184,184,183,184,185,185,185,184,185,185,185,184,182,
181,178,176,172,169,163,160,154,150,145,139,135,131,126,124,120,118,117,115,116,116,118,120,124,
128,131,137,140,146,149,154,157,159,162,162,164,165,165,164,164,163,162,161,159,160,157,156,156,
153,152,150,146,143,140,135,132,127,125,122,119,118,116,116,117,117,119,120,123,126,127,131,133,
136,138,138,140,140,139,140,138,138,138,138,137,138,137,138,139,138,140,140,142,143,143,145,145,
147,147,149,149,148,149,148,149,147,147,144,142,139,133,130,123,119,113,108,101, 97, 90, 85, 80,
 76, 72, 69, 66, 65, 64, 63, 62, 63, 62, 63, 63, 65, 66, 69, 71, 73, 75, 78, 79, 84, 86, 89, 92,
 95, 98,101,103,103,105,104,105,103,103,100,100, 97, 94, 92, 89, 87, 83, 82, 79, 79, 78, 79, 77,
 78, 77, 78, 77, 76, 77, 76, 76, 77, 75, 77, 76, 77, 77, 77, 76, 76, 75, 75, 74, 74, 75, 76, 78,
 80, 83, 88, 93, 99,105,112,118,125,132,138,144,148,155,159,162,166,168,172,174,175,177,177,178,
179,179,177,177,177,175,174,171,170,166,164,160,157,153,151,147,145,143,142,141,140,141,141,144,
146,147,152,155,158,163,167,169,174,175,179,181,181,183,183,183,183,182,181,179,178,175,174,172,
168,165,164,161,160,158,156,156,155,156,156,157,158,157,158,157,157,154,153,149,147,143,138,135,
131,127,123,121,118,117,115,115,115,115,115,115,116,116,118,119,122,123,126,127,130,132,137,140,
145,148,154,158,164,168,174,177,180,180,183,182,183,181,178,176,171,167,161,158,151,148,142,137,
134,129,125,121,118,116,112,112,111,110,111,111,111,113,113,115,116,117,119,120,122,122,123,121,
121,120,118,117,114,114,111,111,108,109,107,106,106,106,105,108,108,109,109,111,110,111,109,109,
108,106,106,104,102,100, 97, 95, 92, 89, 85, 83, 80, 75, 73, 68, 66, 61, 59, 55, 51, 49, 46, 43,
 43, 41, 42, 42, 45, 47, 51, 54, 60, 64, 68, 73, 77, 83, 88, 93, 98,102,106,109,113,114,117,118,
117,118,115,115,112,109,107,103,101,100, 97, 98, 97, 98, 99,100,102,104,107,109,112,115,118,119,
122,123,126,128,128,130,130,133,134,136,137,139,141,142,144,148,149,152,153,155,157,159,161,162,
165,166,168,170,173,174,178,181,184,185,190,191,195,197,198,200,200,201,201,199,199,196,192,190,
185,180,176,170,165,159,153,147,141,136,130,127,122,120,118,115,117,116,120,122,126,130,134,139,
143,147,150,154,155,158,158,160,161,160,161,159,159,158,157,157,155,155,155,153,153,152,151,149,
148,146,146,143,143,142,140,139,137,137,136,136,137,136,138,137,139,138,139,137,137,136,134,132,
130,129,127,125,123,122,120,119,116,117,117,117,119,120,123,124,128,130,134,136,141,144,149,151,
155,156,160,160,162,161,161,158,157,154,150,145,139,134,127,121,114,109,101, 97, 91, 88, 82, 81,
 77, 76, 73, 74, 73, 72, 74, 74, 74, 75, 76, 77, 78, 79, 80, 81, 83, 82, 85, 84, 87, 86, 88, 88,
 89, 90, 89, 90, 88, 89, 88, 86, 87, 86, 87, 87, 88, 89, 90, 90, 92, 93, 94, 94, 94, 95, 96, 94,
 96, 95, 96, 95, 95, 94, 93, 91, 88, 85, 82, 79, 75, 71, 69, 65, 63, 60, 60, 58, 60, 61, 64, 67,
 73, 77, 84, 90, 99,105,114,121,127,135,140,147,152,157,161,163,167,170,171,173,173,173,173,173,
173,172,170,168,166,163,162,159,156,155,152,150,148,147,146,146,146,145,147,146,149,151,152,155,
157,159,161,163,163,166,165,166,168,167,168,169,167,168,166,167,165,163,163,161,160,159,160,160,
161,161,164,164,168,169,172,174,176,178,179,180,179,179,176,174,170,166,161,157,151,147,142,137,
132,127,122,119,115,114,113,111,112,111,112,112,114,114,117,118,122,124,129,133,136,141,145,150,
154,158,163,167,168,172,173,175,174,175,173,173,169,168,166,162,160,156,154,150,146,144,141,139,
137,135,132,131,129,128,127,125,126,124,124,123,124,122,122,121,119,119,116,116,112,111,108,106,
103,101, 98, 97, 95, 95, 94, 96, 96, 98,100,103,105,108,111,114,117,118,121,121,123,123,122,122,
121,120,117,115,112,110,106,103, 98, 94, 89, 84, 78, 74, 68, 64, 59, 56, 53, 52, 49, 49, 49, 49,
 49, 51, 52, 53, 57, 59, 64, 66, 71, 74, 79, 82, 87, 91, 95, 97,101,103,105,107,107,108,107,107,
104,104,101,101, 99, 99, 99, 99,100,100,103,104,108,110,112,116,118,121,123,125,125,127,127,127,
126,125,125,123,123,122,121,119,120,119,120,120,120,121,122,123,126,127,131,133,137,140,143,147,
151,156,161,164,170,174,179,183,186,190,191,194,194,196,196,197,196,196,193,193,188,187,182,178,
174,170,163,160,154,151,146,141,138,134,132,130,130,129,131,132,133,135,137,138,142,144,146,147,
148,150,150,150,149,149,148,147,147,146,147,146,147,148,148,150,151,153,154,156,157,159,160,160,
161,160,162,161,162,162,161,161,160,160,158,158,155,155,152,151,147,146,142,140,136,134,129,128,
124,123,121,119,120,118,119,119,121,121,124,124,128,129,133,135,140,143,145,149,152,155,157,160,
161,163,163,162,162,160,157,155,149,147,141,137,132,127,123,118,115,111,108,106,103,100,100, 97,
 97, 95, 95, 94, 92, 91, 89, 88, 86, 86, 85, 85, 83, 83, 82, 81, 80, 79, 77, 75, 74, 73, 73, 72,
 74, 73, 75, 75, 78, 79, 83, 84, 88, 89, 92, 93, 97, 98,101,101,104,104,106,105,107,106,107,107,
105,103,101, 99, 95, 93, 87, 84, 79, 74, 70, 66, 63, 59, 57, 54, 55, 54, 54, 57, 60, 62, 68, 72,
 77, 84, 89, 96,101,108,112,119,123,127,132,135,139,141,144,146,148,149,151,152,153,154,155,156,
157,156,157,156,157,155,156,155,155,156,155,155,156,154,155,153,154,152,153,152,152,151,151,150,
149,148,148,148,147,148,146,148,146,147,147,147,145,147,146,148,148,150,151,152,155,155,159,162,
166,167,172,174,178,179,182,182,184,183,183,182,179,175,172,167,163,158,153,148,142,139,134,131,
128,126,123,121,120,118,119,117,118,117,119,119,121,122,123,125,128,129,133,134,138,141,142,146,
148,149,151,153,155,155,157,158,159,159,160,160,161,162,162,160,162,160,161,160,159,158,157,156,
155,152,152,149,149,147,144,144,141,140,136,135,131,130,126,125,120,119,116,113,109,108,105,104,
103,101,103,102,105,107,108,111,113,116,118,122,125,125,129,130,131,133,134,135,135,133,133,132,
128,127,122,120,115,112,107,104, 99, 96, 91, 89, 85, 83, 80, 77, 76, 73, 73, 70, 70, 69, 68, 68,
 67, 68, 68, 68, 70, 70, 73, 74, 76, 77, 80, 82, 83, 84, 86, 87, 88, 90, 89, 91, 91, 90, 91, 90,
 92, 93, 94, 95, 97, 99,102,105,107,110,112,116,118,121,122,126,125,127,125,126,123,123,120,119,
116,114,112,110,109,108,107,106,106,105,107,108,110,111,113,114,118,120,124,127,131,135,139,143,
147,151,153,157,160,162,166,168,169,172,172,175,175,175,176,177,176,177,176,175,174,173,171,168,
167,163,161,158,156,153,152,148,148,146,145,142,143,142,143,142,141,142,140,140,138,138,135,135,
131,131,130,128,128,127,127,128,128,130,132,135,137,140,143,145,149,151,155,155,159,159,161,161,
163,163,164,163,163,161,160,159,156,155,152,150,146,143,141,139,136,134,131,128,127,125,125,123,
124,122,123,122,123,122,124,123,126,126,127,129,130,131,133,135,135,138,139,142,143,144,146,146,
147,148,146,147,146,144,143,141,141,139,138,138,137,137,135,134,134,131,131,129,127,126,123,122,
120,117,116,113,110,109,105,104,101, 98, 96, 94, 90, 89, 86, 85, 82, 82, 82, 80, 82, 81, 84, 86,
 87, 90, 92, 94, 97, 98,102,103,107,108,111,112,113,115,115,117,116,118,117,118,118,118,116,116,
113,111,108,106,102,100, 96, 93, 89, 87, 83, 81, 78, 76, 75, 75, 75, 75, 78, 78, 82, 84, 86, 90,
 92, 95, 98,100,103,104,107,108,111,113,114,117,118,122,123,127,129,133,135,138,141,143,147,148,
152,153,155,157,158,160,161,160,161,160,160,160,158,157,154,153,150,147,145,142,140,138,136,135,
134,132,132,131,133,133,133,135,135,136,136,138,139,140,140,143,143,146,147,150,153,155,158,160,
163,164,165,168,168,170,168,169,166,166,163,162,158,157,153,152,150,146,146,143,142,140,140,137,
137,135,136,134,134,134,132,132,131,131,130,130,129,129,128,128,126,127,126,127,126,127,127,129,
129,132,133,136,138,141,144,146,148,151,153,156,159,159,162,162,165,165,164,164,162,162,159,158,
156,153,152,148,146,144,141,137,135,131,128,124,122,118,116,113,112,110,108,106,106,105,106,105,
107,107,108,110,110,113,113,116,117,118,120,120,122,123,125,125,126,125,125,124,124,123,121,120,
118,118,116,115,113,112,111,108,109,106,106,104,104,102,100, 99, 96, 95, 92, 91, 87, 86, 84, 82,
 81, 80, 77, 77, 76, 75, 76, 75, 77, 77, 79, 79, 81, 83, 83, 85, 86, 87, 88, 90, 91, 92, 93, 95,
 97, 99,102,103,107,109,113,115,116,120,121,122,123,124,123,122,122,121,120,119,118,116,116,114,
114,113,114,112,113,112,114,114,114,116,116,118,119,121,123,124,127,128,130,131,133,134,136,136,
138,139,140,142,142,144,144,147,148,151,153,157,160,161,165,166,170,171,172,174,174,173,174,172,
172,171,169,168,166,164,162,159,158,155,154,153,149,149,146,143,142,139,137,135,133,132,130,129,
128,126,128,126,128,128,131,131,135,135,139,141,143,147,148,151,152,155,156,158,158,160,159,160,
159,159,158,157,155,155,152,152,150,150,148,146,146,143,143,142,141,141,140,141,141,141,141,140,
140,139,138,137,136,134,133,131,131,129,129,129,127,128,127,128,127,129,128,130,130,132,133,134,
135,136,137,139,140,140,143,144,144,145,145,146,145,144,144,142,141,139,138,136,132,131,128,124,
121,117,115,112,108,106,102,100, 97, 94, 92, 88, 88, 87, 86, 85, 86, 85, 87, 87, 87, 89, 90, 92,
 94, 94, 96, 96, 97, 97, 98, 97, 98, 98, 98, 99, 98, 99, 99,101,102,102,104,105,107,108,108,109,
108,109,107,107,105,104,102,100, 99, 96, 95, 92, 92, 90, 90, 88, 88, 87, 86, 86, 84, 85, 85, 85,
 84, 85, 85, 86, 88, 89, 91, 94, 95, 99,101,106,109,112,116,119,124,128,132,136,138,143,145,149,
150,154,154,157,156,158,158,156,156,153,152,149,147,144,142,140,139,136,136,134,135,134,135,136,
136,138,138,141,142,142,143,143,145,144,146,145,146,146,145,147,146,148,148,149,149,150,151,152,
153,154,155,155,156,157,157,158,157,158,159,158,160,158,160,159,160,158,159,158,158,157,157,154,
154,151,150,148,144,142,139,137,133,132,128,127,124,124,123,121,121,120,121,121,123,123,126,127,
131,133,137,140,144,148,150,154,156,159,160,162,162,164,163,163,161,161,158,158,155,154,152,150,
148,146,145,142,141,138,137,135,134,133,132,130,129,127,127,125,126,125,123,124,123,122,121,119,
119,116,116,114,114,112,112,112,111,111,110,111,110,111,111,112,112,113,113,115,116,116,118,118,
121,121,123,123,126,125,127,127,126,126,125,124,120,119,115,113,108,104, 99, 96, 92, 87, 86, 82,
 81, 78, 79, 77, 79, 79, 80, 80, 83, 84, 85, 87, 88, 90, 91, 93, 93, 95, 95, 97, 98, 99,100,102,
102,104,104,104,105,105,106,107,107,107,108,107,109,108,110,109,111,111,112,112,114,114,115,115,
116,117,116,118,119,118,120,121,121,121,122,122,123,122,122,121,122,120,121,119,119,118,119,118,
119,119,121,122,125,128,130,134,137,142,146,149,154,158,160,164,165,168,168,171,170,171,168,168,
166,165,163,161,159,157,155,152,151,148,147,146,143,143,141,141,140,138,139,137,138,137,136,137,
137,138,139,139,141,141,143,143,145,144,146,145,147,147,147,147,146,147,146,148,147,148,147,148,
148,148,147,149,148,150,149,150,150,152,151,153,153,155,155,157,156,157,156,154,154,152,149,148,
145,143,140,138,134,132,129,127,125,124,122,122,121,121,122,121,123,123,125,126,129,130,133,134,
138,140,141,143,144,146,146,147,147,146,146,144,144,141,141,139,137,134,133,130,129,126,125,122,
120,117,116,113,113,111,109,109,107,107,105,105,104,105,104,106,105,106,106,107,106,106,104,105,
102,102, 99, 98, 97, 95, 95, 93, 93, 92, 93, 94, 95, 96, 99,100,104,105,108,110,113,113,116,116,
117,118,118,117,116,114,113,111,109,107,104,102, 99, 98, 94, 93, 91, 88, 87, 85, 85, 83, 84, 83,
 85, 86, 87, 87, 90, 91, 94, 96, 98,101,103,106,109,111,115,117,120,122,126,127,130,132,134,135,
137,137,138,137,138,136,137,136,135,133,133,131,131,129,130,129,130,130,132,132,135,136,136,139,
139,141,140,142,141,142,140,141,140,140,138,138,136,136,135,135,135,134,135,135,137,137,139,141,
142,144,145,148,149,151,153,154,155,158,159,161,161,163,162,164,162,163,161,161,158,158,155,154,
151,149,145,144,141,140,138,136,133,132,130,129,127,126,126,124,126,126,126,129,130,133,135,136,
139,141,144,146,148,149,151,152,153,154,153,154,153,152,153,151,151,150,150,148,149,147,147,145,
146,144,145,143,144,143,144,144,143,144,142,143,141,142,140,139,136,135,133,131,129,127,124,123,
120,119,117,116,115,114,112,113,112,112,114,113,115,116,116,118,118,120,122,124,125,126,129,129,
132,133,133,135,134,136,134,135,133,130,128,126,121,119,114,111,107,104,101, 99, 97, 95, 93, 93,
 92, 92, 92, 92, 94, 94, 96, 97, 98, 99,100,101,101,102,100,102,101,102,100,101, 99,100, 98, 98,
 97, 98, 97, 97, 97, 98, 98,100,100,101,104,104,107,107,110,111,113,114,114,117,116,118,117,119,
117,119,118,119,117,118,118,116,116,116,114,115,113,113,111,111,109,109,108,106,107,106,108,108,
109,111,113,116,120,122,126,129,132,137,139,143,144,148,150,151,153,153,153,155,153,154,153,152,
152,151,150,149,149,148,147,146,144,144,143,143,142,142,141,142,141,141,140,141,140,141,141,141,
140,140,138,139,137,137,136,135,135,135,134,135,136,136,137,136,138,139,140,140,141,141,143,143,
145,145,147,148,150,152,152,154,155,157,158,158,159,159,159,158,157,155,155,152,151,149,147,144,
142,140,139,136,135,133,132,129,129,126,127,125,127,127,127,128,130,131,132,132,134,135,137,137,
138,138,139,140,138,139,138,138,136,137,136,136,135,135,135,134,135,133,134,134,132,133,132,131,
131,129,130,129,126,126,124,124,122,122,121,121,119,119,118,117,116,115,113,112,109,109,107,105,
104,100,100, 99, 98, 97, 97, 98, 98,100,101,103,106,107,111,114,115,119,119,123,123,125,125,126,
125,125,123,122,122,119,118,115,113,110,108,104,103, 99, 99, 97, 96, 94, 94, 93, 92, 93, 92, 94,
 95, 96, 96, 98, 98,100,100,102,102,102,104,105,105,107,108,110,112,112,115,115,118,120,120,122,
122,124,123,125,124,124,126,125,126,126,128,127,129,130,130,132,132,135,136,137,136,138,137,138,
137,136,136,134,134,132,132,129,129,127,127,126,125,125,124,126,125,127,127,129,129,132,133,135,
138,140,142,144,147,148,150,151,153,154,155,155,156,155,156,154,155,153,153,151,151,150,150,149,
147,146,144,144,142,142,139,139,137,137,135,134,133,133,133,133,132,134,133,135,135,135,137,136,
138,138,138,140,139,141,140,142,142,142,144,143,144,144,144,145,145,145,146,146,146,147,146,147,
148,147,148,147,148,148,148,147,147,145,145,144,141,140,137,136,134,130,129,126,125,122,121,120,
118,117,116,116,116,115,116,116,117,117,117,118,118,119,120,120,122,122,124,125,127,128,130,131,
133,134,134,136,135,136,134,133,133,130,130,127,125,123,120,119,116,115,113,112,111,110,110,109,
110,109,109,109,108,109,108,110,108,109,109,108,109,109,108,106,107,105,105,105,104,103,103,101,
103,101,103,104,104,106,108,109,110,112,113,116,116,119,118,121,120,121,120,121,120,120,119,120,
118,119,118,118,118,117,117,116,116,114,114,112,112,110,110,107,108,107,105,106,105,106,107,108,
108,111,111,114,115,118,120,123,125,127,129,131,133,134,136,136,138,139,139,141,140,142,142,142,
143,142,143,142,143,143,142,143,142,143,143,142,143,143,142,143,141,142,141,139,139,138,137,136,
134,134,132,132,132,130,131,130,131,131,132,133,133,134,135,135,137,136,139,139,140,141,142,144,
144,147,147,149,149,151,152,152,154,155,154,156,154,156,154,155,154,152,152,150,150,149,148,146,
144,142,140,139,137,137,136,133,134,131,132,131,131,130,131,130,131,130,131,131,132,132,131,132,
131,132,131,130,131,130,131,130,131,130,132,131,133,132,134,134,135,135,136,136,134,135,133,133,
132,130,129,128,126,126,124,124,122,123,121,121,119,119,117,118,116,114,114,111,111,108,108,106,
105,104,103,103,102,103,103,104,104,106,106,108,110,110,112,113,116,116,119,119,121,122,122,123,
122,123,123,121,121,119,119,116,116,114,112,110,110,108,107,106,105,105,105,105,104,104,102,103,
102,103,101,102,101,102,100,101,101,102,102,103,103,106,107,108,110,112,112,114,115,117,118,119,
120,120,122,121,123,122,124,123,125,124,126,126,127,127,129,130,129,131,130,132,132,132,131,132,
130,132,130,131,130,131,129,130,128,129,129,127,128,128,128,129,130,129,131,132,132,134,134,137,
137,140,141,142,144,145,145,147,146,147,147,148,148,149,149,150,150,151,150,151,150,151,150,151,
149,150,148,148,146,146,144,144,142,142,140,140,138,139,137,137,136,137,135,137,136,137,136,138,
138,138,140,139,141,141,142,141,143,142,144,144,144,145,145,145,146,144,146,144,145,144,145,145,
145,144,145,144,145,143,144,143,141,141,140,137,137,134,133,130,130,127,127,126,125,123,124,122,
123,122,123,121,122,121,122,122,120,121,120,121,120,120,121,120,122,121,123,124,125,125,127,127,
129,129,130,129,130,130,129,130,130,128,128,126,126,126,124,124,122,122,120,119,119,117,118,116,
116,115,115,114,114,114,113,114,112,113,111,112,111,109,108,107,105,105,104,102,103,101,102,101,
103,102,104,104,106,107,109,111,111,113,114,114,115,115,116,116,117,117,116,117,116,116,116,116,
115,116,115,116,115,115,114,115,114,114,113,114,112,112,111,111,110,110,110,110,110,110,111,111,
112,112,114,114,116,116,118,119,119,122,122,124,125,126,128,128,130,131,131,133,134,134,136,136,
137,138,138,140,140,142,143,143,145,146,145,147,146,146,146,145,145,143,143,141,141,138,138,136,
136,134,134,132,134,132,133,133,134,134,134,133,135,135,136,137,137,139,140,141,142,143,143,145,
145,147,147,147,149,149,150,151,150,152,151,152,153,152,152,152,151,152,151,150,149,148,147,145,
145,143,142,140,140,139,137,137,135,135,133,134,133,133,132,133,131,132,130,131,130,128,129,126,
127,126,126,126,126,125,127,126,128,127,129,129,130,131,132,132,133,132,133,132,132,132,132,131,
131,130,130,129,129,129,127,128,126,127,125,125,124,123,123,121,121,118,118,116,116,114,114,112,
113,112,111,111,110,110,110,109,111,110,112,112,114,115,115,118,118,120,121,122,123,123,124,123,
124,122,122,120,121,119,118,117,116,116,115,114,114,112,113,112,112,111,111,110,110,110,108,109,
107,107,105,106,105,103,104,103,103,102,103,103,103,104,104,106,106,108,108,109,109,111,110,112,
112,114,115,114,116,116,117,117,119,119,121,121,122,123,123,125,124,125,125,126,127,127,127,128,
128,127,128,128,128,128,127,128,126,127,127,126,127,127,128,128,129,129,131,131,133,133,135,136,
137,136,138,138,139,138,140,140,140,141,142,142,143,143,145,145,145,146,146,147,147,148,149,148,
149,148,149,149,147,148,147,148,146,146,144,145,144,142,142,140,141,139,140,138,139,139,138,139,
139,140,139,141,141,140,142,141,143,142,143,143,143,144,143,144,143,144,144,145,145,147,147,147,
148,147,148,147,148,146,146,144,144,142,142,139,139,137,135,134,133,132,131,130,130,129,128,128,
127,125,125,124,124,123,121,121,120,119,119,118,119,119,119,118,120,120,120,122,122,123,124,124,
126,126,127,127,128,128,129,128,129,129,129,129,128,128,127,127,125,125,123,123,123,121,122,121,
120,120,119,120,119,119,118,118,117,116,115,114,112,112,110,109,108,108,107,105,106,106,105,106,
107,106,107,107,109,109,110,111,110,112,111,112,112,111,112,111,110,111,111,111,111,111,112,111,
111,112,111,112,111,112,111,111,111,110,109,109,108,109,107,108,106,107,106,107,107,105,106,106,
106,107,106,107,108,109,110,111,111,113,115,116,117,117,119,119,122,122,124,126,127,129,130,132,
133,135,136,138,139,141,142,143,142,144,144,144,144,144,142,143,141,141,139,139,137,137,136,135,
135,133,134,133,134,132,132,133,133,134,133,135,136,137,137,137,139,139,140,140,141,141,142,142,
143,142,144,143,145,145,145,146,146,147,147,149,148,150,150,151,150,152,151,150,150,150,149,149,
147,148,146,146,145,145,143,144,142,143,141,142,140,140,139,137,137,134,135,132,132,129,130,129,
128,128,127,128,128,127,129,129,130,131,131,133,132,134,133,133,134,134,134,135,133,134,133,134,
133,133,132,133,133,131,132,130,131,130,130,129,129,128,128,126,127,125,125,124,124,124,121,122,
120,120,118,118,117,116,117,115,116,116,117,118,119,119,119,121,120,122,121,123,123,123,123,124,
123,124,122,123,123,123,122,122,123,122,123,124,122,123,122,123,121,121,119,119,117,117,116,114,
113,111,109,108,106,105,105,102,103,101,102,101,101,102,101,102,102,103,103,105,104,107,106,108,
108,110,109,111,111,112,112,113,113,113,114,114,114,115,115,116,116,118,117,119,118,118,120,119,
120,119,120,119,120,119,120,121,120,122,122,123,122,124,124,126,126,126,127,127,127,129,128,129,
129,129,131,129,131,131,131,131,133,133,135,134,136,136,138,139,140,140,142,143,144,146,145,148,
147,148,147,149,147,149,147,147,147,144,145,142,142,139,140,138,138,135,136,135,136,134,136,135,
136,136,136,137,136,138,137,138,139,138,139,139,140,140,140,141,142,141,143,142,144,143,145,143,
145,144,143,143,142,141,140,140,139,138,138,136,137,135,136,134,135,134,134,133,133,134,132,132,
131,130,129,128,126,126,124,124,123,122,122,121,119,120,119,120,119,120,120,120,122,121,123,124,
124,127,127,130,130,132,131,133,132,134,133,134,133,132,133,132,132,132,130,130,129,129,128,128,
127,128,126,127,125,126,125,123,124,122,122,121,120,120,118,119,119,117,118,117,119,119,118,119,
119,118,119,119,118,119,118,119,118,118,117,117,117,115,116,114,116,114,115,114,115,114,115,114,
115,115,115,115,115,115,115,115,114,115,114,113,113,111,111,109,109,106,107,105,105,104,104,103,
102,103,102,103,104,105,105,105,107,107,109,109,111,113,114,114,116,117,119,121,121,124,125,126,
128,128,130,132,131,133,132,134,134,135,134,135,134,134,135,133,134,133,134,134,133,134,133,134,
134,134,135,135,134,136,135,136,135,137,137,137,137,137,137,136,137,135,135,136,135,135,135,135,
135,135,136,136,138,138,140,141,143,144,146,148,147,150,150,153,153,153,153,153,152,152,150,150,
148,148,146,146,144,144,142,142,140,139,138,136,136,134,134,132,132,130,131,130,130,131,130,131,
130,133,132,134,134,135,135,136,136,136,135,136,135,135,133,133,132,132,131,131,130,129,128,128,
127,127,126,127,126,127,126,128,128,128,129,130,130,131,130,132,130,131,129,130,128,127,127,124,
125,122,122,119,120,118,117,118,117,118,118,117,119,119,120,121,121,123,123,125,124,127,126,128,
128,128,129,129,130,130,130,131,130,130,130,129,129,128,127,126,124,123,121,120,119,116,116,113,
113,111,110,110,108,108,108,107,108,106,107,107,108,109,108,110,109,111,111,112,111,112,112,112,
112,111,112,110,111,109,110,108,110,108,110,109,110,110,111,111,113,114,114,114,116,116,117,117,
118,119,119,119,120,120,121,120,121,120,121,121,122,121,122,121,122,122,121,121,121,122,121,122,
123,123,124,124,125,126,127,129,130,132,133,135,135,138,138,140,140,143,143,145,146,146,148,148,
147,148,147,147,146,146,144,144,143,140,141,139,138,138,137,137,136,138,138,139,140,140,141,142,
143,143,144,143,144,144,143,144,143,143,143,143,143,142,143,142,143,142,143,141,142,141,142,140,
141,141,141,140,141,140,141,141,140,141,140,142,142,142,142,141,142,140,140,139,138,137,135,135,
134,132,131,129,127,126,124,123,121,121,120,118,119,118,119,118,119,121,121,123,124,124,126,127,
129,129,131,131,133,132,133,133,132,132,131,131,131,129,129,128,127,125,126,124,125,125,124,125,
124,124,124,124,124,124,124,124,124,123,124,123,123,123,121,122,122,121,121,121,119,120,119,118,
117,117,116,116,115,115,113,114,113,114,113,113,113,114,113,114,114,115,115,117,116,118,118,118,
119,118,119,119,119,119,117,117,116,115,115,111,111,108,108,105,105,103,103,101,102,101,100,101,
101,101,102,102,103,104,104,106,106,108,108,108,109,109,111,111,113,113,113,115,115,116,117,117,
118,118,120,119,121,122,122,124,124,125,126,126,128,129,130,131,133,134,133,135,134,136,136,137,
136,138,138,137,138,138,137,138,138,137,138,136,137,137,137,136,136,134,135,134,135,135,134,136,
137,137,139,141,141,144,145,148,148,150,150,152,152,153,152,154,154,152,153,152,152,151,151,149,
148,147,146,146,145,145,143,143,143,141,141,140,139,139,138,139,137,138,137,138,137,138,137,137,
136,137,136,137,136,135,136,134,134,132,133,130,131,129,130,128,129,127,128,126,127,126,127,127,
128,128,129,129,130,131,131,133,132,134,134,134,135,134,134,134,132,132,130,129,127,126,124,123,
122,119,120,117,118,117,116,117,117,119,118,120,120,122,122,124,125,126,126,127,127,128,128,128,
129,128,129,128,128,129,129,128,128,127,126,126,125,124,124,122,122,121,121,120,119,119,118,118,
117,116,116,115,115,115,113,113,112,113,111,112,111,111,110,110,110,108,107,107,105,105,104,103,
103,101,102,101,102,102,103,104,103,105,105,107,108,108,110,111,111,112,113,113,114,113,115,114,
115,113,114,114,113,114,112,113,112,112,111,112,112,112,112,112,111,113,113,115,114,116,116,119,
119,120,122,122,124,124,126,126,128,129,129,131,131,133,133,135,135,137,137,138,138,140,139,141,
141,141,140,141,140,141,141,140,141,142,141,143,142,144,144,145,144,146,145,147,146,148,147,147,
147,145,146,144,145,143,144,142,143,141,142,141,141,142,141,143,142,144,143,144,145,145,146,146,
148,148,148,149,149,148,150,150,149,149,148,149,148,147,145,145,143,142,141,140,138,137,135,134,
131,131,130,127,127,126,126,124,124,123,124,123,124,124,125,125,126,126,128,128,129,131,130,132,
131,132,132,133,132,132,131,131,130,129,129,127,128,126,127,126,127,126,127,127,128,128,129,129,
130,130,130,130,131,130,131,131,129,129,128,128,127,125,126,123,124,122,122,120,121,118,119,117,
118,116,117,116,117,116,117,117,117,117,117,116,117,117,118,117,119,118,120,119,120,119,120,120,
120,120,120,119,118,116,116,114,114,111,112,109,109,107,107,105,106,105,105,105,105,104,105,105,
106,105,106,106,107,107,106,107,106,107,107,106,108,107,108,107,108,108,108,109,108,110,109,111,
111,113,113,114,116,116,118,119,121,121,123,124,125,126,127,129,128,129,129,129,130,130,130,130,
130,130,131,131,130,131,130,131,130,132,130,132,131,132,131,132,131,133,132,133,133,135,135,136,
138,139,139,142,143,143,145,144,146,145,147,146,147,146,147,146,147,145,147,145,146,145,146,145,
146,145,146,145,145,146,145,146,145,146,144,145,145,144,144,144,142,143,142,142,140,140,139,139,
139,137,137,135,136,133,134,132,133,132,131,132,132,131,131,130,131,131,132,131,132,133,132,133,
133,134,134,135,135,136,135,136,136,135,136,136,134,134,133,131,131,128,128,125,126,123,124,122,
123,122,122,122,123,123,124,124,125,126,127,127,129,129,130,129,131,131,131,131,131,130,131,129,
130,129,129,127,127,125,126,124,125,125,123,124,123,124,124,123,124,123,124,123,123,123,123,122,
123,122,122,121,121,119,120,118,118,116,116,114,114,111,111,108,108,106,106,103,104,102,102,101,
102,101,102,103,103,103,105,105,107,107,109,109,111,112,111,113,112,113,113,113,112,113,113,110,
111,109,110,108,108,107,108,107,107,107,106,108,107,109,109,110,111,112,114,116,115,118,118,120,
121,121,123,123,123,125,124,126,126,127,127,128,128,129,129,131,130,132,131,133,133,133,134,134,
135,135,134,136,135,136,137,137,138,138,140,141,140,142,142,143,143,144,144,144,144,142,143,142,
141,141,140,141,140,141,140,141,140,142,141,142,141,143,143,144,144,144,143,145,144,145,144,145,
144,145,144,145,146,145,147,146,147,146,147,145,147,145,146,146,145,145,145,143,143,142,141,139,
138,136,133,132,129,129,127,126,123,123,121,121,121,120,121,121,123,124,127,129,130,133,132,134,
134,136,136,137,135,135,133,130,129,126,124,120,118,115,114,114,113,113,112,114,114,117,118,122,
124,128,131,135,139,143,146,150,152,154,156,155,157,155,156,154,150,148,143,139,132,127,120,113,
107,101, 95, 93, 89, 86, 85, 85, 85, 88, 90, 94, 98,102,108,112,120,124,131,134,139,141,146,147,
150,149,150,148,146,142,136,131,124,118,109,104, 98, 92, 88, 83, 81, 79, 78, 79, 81, 84, 87, 91,
 95,100,106,110,117,120,126,128,133,135,138,140,140,140,139,138,134,131,125,119,111,105, 98, 94,
 88, 83, 80, 77, 76, 76, 76, 79, 81, 86, 89, 95,101,109,116,123,131,136,143,147,154,158,161,163,
167,168,169,169,167,163,158,152,147,141,135,128,123,117,113,108,106,103,103,102,103,106,109,114,
119,125,132,137,144,148,155,159,162,166,169,170,173,173,173,170,167,162,158,152,147,141,137,132,
128,124,123,121,122,121,123,124,127,130,135,138,144,148,154,157,162,165,167,168,171,170,171,169,
169,165,162,156,151,144,138,131,125,119,111,106,100, 97, 94, 92, 92, 91, 92, 94, 97,100,106,110,
116,121,127,132,138,141,146,149,153,155,158,158,158,155,153,148,144,138,134,128,123,117,113,110,
107,107,105,106,106,109,111,113,118,123,126,132,135,140,143,147,148,150,150,151,151,151,150,148,
144,141,136,130,126,120,115,110,104,101, 98, 96, 94, 95, 94, 96, 98,101,105,110,114,118,125,129,
135,140,143,147,149,152,153,155,154,154,152,149,144,137,132,124,118,109,102, 94, 87, 83, 78, 75,
 72, 71, 71, 71, 74, 76, 80, 84, 90, 94,101,105,112,115,120,123,127,129,133,134,136,135,135,132,
130,126,120,116,109,105, 99, 95, 89, 87, 83, 82, 81, 81, 83, 85, 88, 94, 98,103,110,114,120,126,
130,135,139,142,147,149,153,155,156,156,155,154,150,148,142,138,132,127,123,118,115,111,109,106,
106,106,108,111,114,119,123,130,135,142,147,154,158,163,167,172,175,178,180,179,179,176,175,171,
165,161,153,147,139,134,127,123,119,114,112,110,111,111,113,117,120,125,131,135,142,147,153,156,
162,166,171,174,176,176,178,177,175,173,169,165,158,153,146,141,134,130,124,120,115,113,109,108,
107,108,108,110,112,116,119,124,128,130,135,138,140,145,147,150,151,153,153,151,150,147,144,139,
133,129,122,118,112,109,105,101, 99, 97, 96, 97, 97,100,103,107,112,116,122,127,131,136,140,144,
147,152,154,156,158,157,158,156,155,150,147,142,139,135,129,126,120,118,114,111,109,107,107,107,
106,108,109,112,114,117,120,120,124,126,128,129,133,133,135,134,136,135,133,131,127,123,119,114,
110,104,101, 97, 93, 89, 88, 86, 87, 86, 88, 89, 93, 96,100,105,108,113,116,121,125,129,133,134,
137,137,139,138,138,135,132,128,121,117,110,105, 98, 93, 88, 83, 79, 76, 73, 73, 73, 73, 75, 78,
 83, 88, 91, 97,101,105,110,114,119,121,126,128,130,134,135,137,137,137,134,134,130,130,125,125,
120,120,116,117,115,116,115,117,119,121,123,128,131,135,138,142,145,149,152,154,156,156,158,158,
159,157,157,154,152,148,143,140,134,130,123,120,115,112,109,108,106,107,107,110,114,118,124,129,
136,141,148,154,160,165,169,174,177,180,182,184,184,185,184,181,179,173,169,163,158,151,145,138,
133,127,122,118,114,112,109,110,110,112,114,116,119,122,126,130,133,137,139,142,144,147,149,151,
152,152,151,150,148,146,142,139,135,130,126,122,119,116,114,111,111,110,112,113,118,120,125,128,
133,137,143,146,151,152,156,157,160,161,160,160,159,155,152,147,143,136,131,123,117,110,105,100,
 94, 91, 88, 85, 85, 86, 87, 91, 94, 99,104,110,116,123,128,133,139,141,147,148,153,153,156,155,
155,152,150,148,142,138,131,127,121,116,109,105,100, 95, 92, 89, 88, 87, 88, 89, 90, 93, 97, 99,
105,106,111,113,117,118,121,123,124,124,124,123,121,119,114,112,106,102, 96, 93, 87, 84, 78, 77,
 73, 73, 72, 74, 77, 81, 86, 92,100,107,114,122,128,135,140,147,151,156,159,161,162,163,161,160,
157,153,147,142,135,129,123,117,112,107,103,101,100, 99,100,102,105,108,113,119,124,132,138,143,
151,154,161,165,170,175,179,183,185,187,187,188,185,184,179,177,172,166,161,155,150,145,140,136,
134,131,130,131,130,133,135,140,143,147,150,152,155,157,158,160,160,160,160,160,158,158,155,152,
149,144,141,135,131,125,121,115,111,106,104,101, 99, 98, 98, 99, 99,102,105,110,116,120,127,131,
139,141,147,147,151,151,151,151,150,148,144,141,135,129,123,117,108,102, 92, 86, 78, 71, 66, 60,
 58, 56, 55, 58, 60, 65, 69, 75, 79, 84, 88, 92, 94, 98,101,102,107,109,113,116,120,122,124,125,
125,126,124,124,121,121,117,117,115,114,114,113,114,115,116,119,121,122,126,128,131,135,138,142,
145,145,148,148,147,147,144,143,140,136,133,128,124,118,113,106,101, 95, 90, 86, 83, 82, 81, 82,
 86, 90, 96,102,110,116,123,130,137,143,149,153,157,159,162,161,162,159,159,157,153,151,145,142,
135,130,122,116,108,103, 96, 91, 84, 81, 77, 77, 76, 79, 80, 85, 88, 94, 99,106,113,119,128,134,
143,149,155,161,164,168,169,169,169,167,166,162,159,156,150,147,143,139,137,135,135,135,137,139,
142,144,148,152,157,161,165,169,173,178,183,187,191,193,194,195,193,192,188,185,180,174,167,161,
152,147,139,133,127,123,120,119,120,122,126,128,134,137,141,145,148,151,155,156,160,161,166,167,
171,171,174,173,173,170,168,162,158,151,146,139,133,128,120,117,112,108,106,104,103,102, 99, 98,
 96, 96, 94, 93, 94, 93, 95, 96, 98,100,102,104,104,104,103,100, 98, 95, 91, 88, 83, 80, 76, 75,
 71, 72, 69, 71, 69, 72, 73, 77, 83, 88, 96,103,109,116,122,127,132,135,139,141,144,146,147,148,
148,149,148,147,144,142,137,133,127,121,115,108,101, 93, 86, 80, 75, 72, 69, 68, 69, 70, 73, 76,
 81, 86, 90, 95,102,106,114,119,127,132,137,141,144,148,148,150,148,148,144,143,137,135,129,125,
118,115,111,107,104,102,101,101,103,105,107,110,112,113,115,114,117,116,119,118,120,119,119,119,
119,119,118,115,114,111,111,110,109,107,106,105,104,103,103,102,104,106,107,110,113,118,124,128,
135,140,147,151,158,163,166,171,173,177,178,179,178,177,175,172,169,166,163,160,154,152,145,142,
136,133,126,123,118,114,113,114,114,117,120,124,128,133,138,144,149,154,159,161,164,166,166,167,
166,166,163,162,158,157,152,149,143,140,132,129,123,119,117,115,117,118,122,125,131,135,141,145,
150,152,156,156,157,156,158,157,157,157,156,155,152,150,148,143,139,134,127,122,115,108,103, 98,
 93, 90, 86, 85, 84, 84, 86, 88, 93, 96,102,107,116,122,132,140,148,154,163,167,174,176,180,180,
179,179,175,173,168,166,162,158,155,151,147,145,140,137,135,132,131,128,128,127,126,125,126,125,
127,125,127,126,128,126,128,126,127,124,124,123,120,120,118,116,114,112,109,108,106,106,106,106,
106,108,108,111,112,116,119,125,129,134,139,143,147,152,155,159,161,162,162,160,157,155,149,146,
139,134,126,120,111,106, 99, 95, 89, 87, 85, 85, 84, 88, 89, 94, 96,102,106,113,118,125,131,134,
141,143,149,149,154,154,157,155,157,155,153,151,147,144,137,132,125,121,114,112,107,108,106,108,
108,111,112,115,118,119,120,122,123,122,124,123,125,125,125,127,127,128,128,129,128,125,122,119,
113,109,103,100, 95, 90, 87, 84, 82, 81, 81, 81, 82, 84, 84, 87, 89, 94, 98,105,111,119,127,134,
141,148,154,158,162,162,164,162,160,157,153,149,142,137,129,123,115,107,102, 95, 91, 87, 85, 83,
 83, 83, 85, 86, 89, 92, 93, 97, 99,103,106,108,110,112,114,116,117,120,122,124,125,128,127,129,
128,129,126,126,122,122,119,120,120,121,124,126,131,135,140,144,149,154,159,161,166,169,170,172,
172,172,170,168,164,161,156,151,147,140,134,127,118,111,102, 95, 88, 84, 78, 76, 73, 74, 74, 78,
 82, 86, 92, 97,102,109,114,122,128,135,141,147,151,155,159,159,162,162,163,162,160,159,154,152,
145,141,132,127,120,113,108,104,100, 97, 96, 95, 96, 97,100,104,107,113,118,124,131,137,144,148,
153,157,160,162,163,164,164,165,163,163,162,159,157,154,149,148,144,142,139,138,135,136,137,138,
142,146,152,157,165,172,180,184,191,194,198,198,200,197,196,193,190,184,180,173,168,159,152,144,
133,125,115,105, 98, 91, 85, 83, 82, 81, 84, 85, 90, 93, 97,101,105,109,112,114,117,120,122,126,
128,132,133,135,136,135,136,134,131,128,122,118,111,107,101, 95, 91, 86, 83, 80, 80, 78, 79, 78,
 79, 81, 82, 85, 87, 91, 93, 97, 99,102,103,105,104,104,102,101, 96, 94, 89, 85, 80, 77, 72, 71,
 68, 65, 64, 62, 63, 65, 68, 72, 78, 83, 91, 98,107,115,125,133,144,151,162,168,178,183,190,193,
198,198,199,196,193,188,183,176,167,161,153,146,139,132,126,120,116,111,108,106,105,106,107,109,
112,114,119,122,128,131,138,142,146,151,154,159,160,163,163,163,160,158,154,149,145,139,135,129,
125,119,116,114,111,110,108,109,110,109,111,111,112,112,114,113,115,115,117,117,120,119,122,122,
121,122,119,118,113,111,105,102, 97, 94, 91, 88, 88, 89, 89, 93, 96,101,105,111,115,121,125,131,
135,139,145,149,156,161,169,175,181,188,193,197,201,201,202,199,196,192,187,182,177,171,166,162,
157,153,148,143,140,135,132,128,127,124,126,126,129,131,134,138,142,144,149,150,153,153,155,153,
152,149,146,141,138,133,128,124,118,115,111,109,106,107,106,106,108,109,112,114,116,120,123,125,
128,130,131,132,132,132,131,131,131,128,127,122,119,113,106,100, 91, 84, 74, 67, 58, 52, 44, 40,
 36, 33, 32, 31, 33, 35, 39, 43, 50, 56, 65, 73, 83, 90,100,107,116,123,132,140,147,154,159,166,
169,173,173,174,172,170,167,163,160,156,153,149,145,143,140,139,137,137,136,138,138,140,143,144,
147,148,151,151,153,153,155,155,156,156,155,154,150,148,144,140,136,132,129,127,123,123,120,121,
119,121,121,124,125,129,133,138,144,149,156,160,166,170,173,176,177,178,177,176,172,170,165,160,
153,148,141,133,127,119,113,106,101, 95, 89, 85, 81, 78, 78, 78, 79, 84, 88, 95,103,109,118,125,
131,137,141,146,149,151,154,155,158,159,160,161,159,160,157,156,152,150,145,144,141,141,140,142,
142,143,146,147,150,152,155,156,159,159,159,159,159,158,159,157,158,157,155,155,152,151,148,144,
141,136,129,125,118,114,108,106,102, 99, 99, 98, 98, 99,101,103,106,111,116,122,128,134,142,147,
153,156,161,163,166,166,167,164,163,160,155,151,145,138,133,125,119,110,104, 97, 90, 85, 79, 74,
 68, 64, 60, 57, 56, 54, 55, 54, 57, 58, 62, 64, 69, 71, 76, 78, 79, 82, 83, 85, 84, 86, 85, 87,
 85, 87, 86, 86, 87, 87, 89, 92, 92, 96, 98,102,106,109,112,116,119,123,127,130,135,137,141,142,
145,146,146,144,144,142,140,138,132,130,123,120,113,107,102, 97, 93, 88, 85, 85, 83, 84, 85, 88,
 90, 95, 98,104,109,115,120,127,132,139,146,152,157,164,169,174,177,181,182,182,180,176,172,165,
159,151,145,138,133,128,123,118,116,113,112,110,110,109,108,107,109,108,111,112,118,121,127,131,
137,141,144,148,149,150,150,149,148,146,143,140,138,135,133,130,130,128,128,126,127,127,129,130,
133,137,141,145,150,156,160,166,171,176,179,183,183,185,184,182,180,177,171,167,160,153,147,140,
134,128,122,118,113,109,106,104,101,102,102,103,105,107,110,112,116,118,123,125,131,134,140,145,
148,153,155,159,159,161,160,158,155,152,148,143,139,134,131,128,124,123,121,119,120,120,122,122,
124,124,126,123,124,121,121,118,118,116,113,113,110,109,106,105,101, 99, 94, 89, 85, 80, 77, 72,
 69, 65, 64, 61, 62, 63, 64, 68, 71, 78, 83, 90, 96,104,111,119,126,134,140,147,152,157,161,165,
167,169,169,166,164,160,156,150,143,138,130,124,116,112,104,101, 95, 92, 87, 85, 82, 83, 82, 84,
 86, 88, 92, 94, 99,102,107,109,114,116,120,122,124,126,128,129,128,129,127,128,127,126,125,125,
121,121,117,116,112,112,110,111,111,114,115,118,119,122,123,125,125,126,125,126,126,127,126,128,
128,129,128,128,126,125,122,119,117,112,111,108,106,106,105,107,107,111,113,119,122,128,134,138,
145,149,156,160,167,171,179,183,190,195,201,205,207,210,211,209,207,203,199,193,189,183,178,172,
168,162,156,153,148,145,142,141,141,139,141,141,144,144,148,148,151,153,153,156,156,159,159,159,
158,155,154,151,147,145,140,139,136,133,132,130,129,127,127,125,125,123,124,123,125,126,130,132,
136,138,143,145,148,151,152,153,153,152,149,146,141,134,128,120,112,105, 96, 90, 83, 78, 71, 67,
 62, 60, 57, 56, 56, 57, 58, 60, 64, 68, 72, 78, 83, 90, 97,103,111,116,125,131,137,143,146,151,
154,154,156,156,155,154,151,149,146,144,140,138,135,133,130,129,126,125,123,123,122,120,121,119,
120,120,121,120,122,122,124,125,125,125,123,122,118,112,108,103, 97, 94, 89, 88, 85, 85, 84, 86,
 86, 89, 92, 93, 97, 99,101,105,108,113,116,122,127,130,136,138,142,143,144,143,141,137,133,127,
121,115,107,102, 95, 92, 86, 82, 80, 77, 76, 74, 74, 73, 75, 75, 79, 82, 85, 91, 96,103,109,116,
123,129,136,140,146,150,155,158,161,164,164,167,167,168,166,167,166,166,164,165,164,164,163,163,
165,164,166,167,166,168,168,170,172,172,175,175,178,178,181,180,182,181,181,179,177,174,171,166,
163,157,152,145,140,134,130,127,123,122,120,120,121,121,125,126,130,132,137,138,143,145,150,152,
156,158,162,164,165,167,167,168,167,164,162,158,154,148,141,135,127,119,113,106,100, 93, 88, 82,
 79, 75, 73, 71, 70, 68, 69, 68, 70, 71, 74, 75, 78, 80, 84, 86, 90, 91, 92, 95, 96, 98, 98,101,
101,103,103,105,105,107,107,111,113,116,119,122,126,130,133,138,142,147,151,156,159,162,164,166,
166,167,165,164,161,158,154,151,145,143,137,134,128,125,118,114,107,103, 96, 93, 88, 87, 86, 87,
 88, 89, 94, 96,102,106,110,115,120,123,128,132,136,141,143,147,148,150,150,150,148,146,142,136,
131,125,116,110,103, 96, 90, 84, 79, 76, 72, 71, 70, 69, 70, 69, 71, 71, 73, 74, 78, 80, 85, 87,
 92, 95, 99,101,103,103,105,105,103,103,101,101, 99,100, 97, 99, 98, 99,101,103,108,113,118,123,
130,136,143,149,155,161,167,171,177,180,185,188,191,193,193,192,190,187,185,182,177,175,169,166,
160,156,150,146,142,137,134,130,128,127,126,125,127,127,131,133,137,141,146,150,155,159,164,168,
171,171,173,173,173,171,170,168,164,162,158,156,153,150,148,145,143,141,139,136,136,135,133,133,
133,130,131,129,129,128,126,125,124,123,121,120,117,115,111,109,103,101, 95, 92, 86, 83, 77, 75,
 71, 68, 68, 67, 68, 70, 71, 76, 79, 85, 90, 96,103,108,116,120,128,134,142,148,157,163,169,174,
178,179,181,179,178,175,169,165,158,155,148,144,138,135,130,128,124,122,118,117,115,113,112,111,
112,111,114,115,119,122,126,130,133,137,139,141,142,142,142,141,141,139,138,136,135,134,134,133,
133,131,131,131,129,128,128,125,126,124,125,123,124,123,124,123,124,123,124,123,122,121,120,119,
116,114,111,108,105,101, 97, 94, 90, 88, 84, 83, 81, 80, 79, 77, 78, 79, 79, 82, 84, 88, 92, 95,
102,106,113,119,125,132,138,145,150,156,160,162,165,166,166,165,161,159,154,152,146,143,139,136,
133,130,129,128,126,127,126,127,126,128,128,128,130,130,133,134,135,138,139,141,141,143,143,145,
144,145,144,142,140,137,135,131,129,126,125,123,122,120,121,121,121,123,124,127,130,131,136,138,
142,144,148,150,154,155,157,158,157,157,154,153,149,144,138,133,125,119,111,105, 97, 92, 86, 82,
 76, 73, 70, 68, 67, 67, 67, 70, 73, 76, 82, 86, 93, 98,104,111,116,121,125,131,134,139,143,147,
149,153,154,156,155,156,155,152,150,147,144,141,139,137,136,135,135,134,134,135,136,137,137,139,
139,140,140,141,140,141,141,139,140,138,138,135,134,131,128,124,121,117,114,110,108,106,106,105,
107,107,110,112,115,118,122,124,129,133,138,143,146,151,154,157,158,160,159,159,157,156,153,149,
144,138,132,127,120,114,108,103, 97, 95, 91, 90, 89, 88, 88, 89, 90, 90, 94, 95,100,102,108,110,
116,118,123,125,130,132,136,137,140,143,143,145,145,146,146,145,145,143,143,141,141,139,138,137,
135,135,134,135,135,136,138,139,143,145,147,150,152,154,155,154,155,154,151,150,145,142,138,134,
129,124,120,115,111,108,103,102, 99, 96, 96, 94, 95, 96, 95, 98, 99,102,105,110,114,118,124,128,
134,137,142,144,148,149,150,150,150,149,145,145,141,139,135,131,127,124,120,116,113,110,108,104,
102, 99, 96, 94, 92, 91, 89, 89, 90, 91, 93, 95, 97,100,102,105,106,109,109,110,109,110,110,109,
110,110,111,113,114,117,119,123,127,129,134,136,141,143,148,149,154,157,162,165,171,173,178,179,
183,183,185,184,182,177,174,169,166,161,154,151,145,139,135,130,123,119,114,109,107,103,102,100,
101,101,104,106,109,113,117,122,126,131,135,141,145,149,152,154,154,156,155,155,154,151,149,147,
144,140,135,132,126,123,119,116,111,109,106,104,103,101,102,102,104,106,108,111,115,118,120,124,
127,130,131,133,132,133,131,131,128,127,124,121,120,118,118,118,117,120,120,124,127,130,135,138,
144,148,152,157,161,165,170,172,177,179,183,185,188,188,190,189,190,187,185,182,177,173,167,162,
156,150,143,138,132,128,124,120,119,115,116,114,115,114,117,117,119,119,122,123,126,127,129,130,
132,132,132,132,131,128,127,124,123,119,117,113,111,107,103,101, 97, 96, 93, 92, 92, 92, 93, 94,
 96, 97,100,101,102,104,103,104,102,102,100, 97, 95, 92, 90, 87, 85, 82, 78, 74, 70, 67, 62, 60,
 55, 54, 52, 51, 52, 54, 55, 59, 63, 69, 76, 83, 90, 98,105,113,120,126,134,139,146,151,158,162,
167,170,173,173,174,173,171,169,165,163,158,154,151,146,144,140,138,134,132,130,130,128,129,127,
129,129,129,131,131,133,134,137,139,141,142,144,144,145,145,144,143,142,140,139,137,135,134,131,
131,129,129,127,128,128,128,127,129,128,130,130,132,132,134,134,134,134,135,133,134,132,132,131,
128,127,125,122,119,117,112,110,105,104,100, 98, 96, 93, 92, 90, 91, 90, 92, 94, 96,101,105,111,
116,123,129,137,143,150,155,161,166,169,173,174,176,176,177,176,175,173,172,169,168,166,165,162,
161,159,156,155,152,151,149,149,147,148,148,149,150,151,152,154,155,157,157,158,158,158,156,155,
152,150,147,143,139,135,129,126,121,120,116,115,112,112,110,109,110,108,109,108,110,109,111,113,
115,118,121,123,128,130,131,133,132,132,128,125,121,115,110,104, 96, 90, 82, 77, 70, 66, 60, 57,
 51, 48, 44, 41, 39, 36, 36, 36, 37, 41, 45, 49, 55, 60, 68, 74, 80, 87, 92, 96,102,105,110,114,
115,119,120,122,122,124,124,126,125,127,128,128,129,129,131,131,133,135,136,139,141,144,146,148,
150,153,154,155,155,155,153,153,151,148,146,142,140,136,132,130,125,124,121,118,117,114,114,114,
114,115,115,118,119,123,126,131,135,140,145,150,155,160,163,167,168,170,171,169,169,166,163,159,
155,150,144,138,134,128,124,119,116,112,111,109,107,105,105,104,105,105,106,106,110,110,115,118,
121,125,128,132,135,139,141,145,147,150,151,152,153,152,153,152,150,150,147,148,146,148,148,148,
151,152,155,157,161,163,167,169,173,175,179,181,184,185,187,187,186,187,186,183,182,179,177,174,
170,167,162,159,153,150,144,140,136,131,129,127,125,126,125,128,129,133,135,139,142,146,148,151,
152,155,155,157,158,159,159,160,160,158,157,154,153,148,145,140,133,129,122,117,112,107,103,100,
 97, 95, 92, 91, 88, 87, 85, 84, 83, 82, 81, 81, 81, 81, 80, 80, 80, 80, 80, 79, 77, 78, 76, 76,
 74, 74, 73, 72, 73, 73, 75, 75, 78, 79, 83, 86, 89, 93, 96,101,105,110,115,120,124,129,133,137,
139,143,144,147,147,148,145,145,141,139,135,130,125,120,115,110,105,101, 97, 93, 89, 89, 86, 87,
 87, 89, 91, 92, 97, 99,105,108,113,116,122,125,130,134,137,141,143,146,146,149,149,148,148,146,
144,142,138,136,131,128,123,121,117,115,113,112,112,111,113,113,116,118,119,122,125,125,128,129,
131,131,131,130,131,129,129,127,127,125,125,123,124,123,124,124,123,125,125,125,127,129,130,132,
135,138,142,147,151,154,160,163,169,172,177,180,183,186,187,188,187,187,183,182,178,173,169,165,
161,158,154,151,148,145,142,139,138,135,134,131,131,131,131,132,133,135,137,138,142,143,147,149,
149,152,150,151,150,148,146,144,142,140,139,137,136,136,133,133,130,130,127,127,126,123,124,123,
125,125,127,127,129,128,130,130,129,129,126,126,123,119,117,112,108,103, 99, 93, 90, 84, 81, 77,
 73, 71, 67, 66, 64, 64, 63, 64, 67, 68, 73, 75, 82, 86, 92, 98,103,109,114,118,123,127,131,135,
137,140,140,142,141,142,140,140,138,136,132,131,128,124,122,118,116,113,109,106,104,101,101, 98,
 99, 97, 98, 98, 98,100,100,101,103,104,104,107,106,108,107,109,107,108,106,107,105,106,106,105,
107,106,107,106,108,108,109,108,110,110,112,113,114,116,117,119,121,122,122,125,126,128,128,130,
130,129,128,126,124,122,117,115,111,109,106,103,102,100,100,100, 99,101,102,105,107,111,114,120,
125,129,135,138,144,149,152,158,162,166,168,173,174,178,180,182,181,183,181,182,181,180,177,176,
175,171,171,167,167,166,165,165,164,165,166,165,167,166,167,165,165,163,164,164,163,164,163,164,
163,162,161,158,156,152,149,145,142,138,135,131,130,127,127,125,126,126,127,129,131,131,135,136,
139,140,143,144,147,148,151,153,152,154,152,153,150,149,144,142,136,133,126,123,118,112,108,102,
 98, 93, 90, 86, 83, 81, 80, 78, 78, 78, 80, 81, 85, 87, 91, 94, 99,103,108,112,116,120,124,127,
129,132,133,135,136,136,137,137,137,137,137,137,137,136,138,136,138,137,139,139,141,142,143,143,
143,144,143,144,142,143,140,139,137,134,132,128,125,121,118,113,110,105,103, 98, 96, 93, 90, 89,
 87, 87, 86, 87, 88, 90, 92, 96, 98,102,105,109,111,115,116,119,120,120,121,120,119,120,117,118,
115,115,112,111,108,107,103,101, 97, 95, 91, 89, 86, 84, 81, 81, 80, 81, 81, 84, 85, 88, 91, 95,
 99,104,108,112,116,120,122,126,128,131,132,133,134,134,136,136,138,138,141,141,143,144,147,147,
150,151,152,154,155,158,160,163,165,169,173,176,179,182,184,186,186,186,185,183,180,177,175,171,
169,166,163,162,158,156,154,151,149,144,143,140,138,136,135,135,134,135,135,135,138,139,142,142,
145,146,147,149,148,150,150,149,149,148,148,146,145,144,141,140,137,135,131,128,124,121,117,115,
113,109,109,106,104,103,102,101, 99, 99, 97, 97, 95, 95, 94, 93, 93, 92, 92, 91, 91, 92, 90, 92,
 92, 94, 94, 95, 96, 98, 98,100,101,104,106,108,113,116,120,123,127,132,135,140,145,148,153,155,
159,162,164,165,166,167,165,165,162,161,158,155,152,148,145,140,136,131,127,122,119,115,112,110,
109,106,107,106,108,108,109,111,113,116,119,122,126,129,132,135,137,137,138,137,137,134,133,130,
126,124,120,117,113,111,107,105,102,101,100, 98, 99, 98, 97, 98, 97, 97, 96, 96, 95, 96, 94, 96,
 94, 95, 95, 95, 95, 95, 95, 95, 96, 95, 96, 96, 96, 95, 95, 94, 93, 91, 93, 93, 95, 96,101,103,
108,112,116,121,124,129,132,137,141,145,148,154,157,162,165,169,172,173,175,174,174,172,171,168,
166,162,158,156,152,151,148,147,146,146,145,145,145,146,146,146,146,147,147,149,150,150,152,152,
154,154,155,154,155,155,152,152,150,150,148,146,145,142,142,139,139,137,138,136,138,137,139,138,
140,140,142,141,142,142,142,141,141,140,139,139,135,134,130,127,123,119,115,110,106,102, 98, 94,
 90, 86, 83, 81, 78, 77, 77, 77, 77, 80, 82, 86, 88, 93, 97,100,106,109,115,119,124,128,133,138,
142,146,148,151,153,155,155,155,156,155,155,153,152,149,149,146,146,144,142,141,140,138,137,137,
135,135,134,134,133,133,132,132,130,130,130,129,129,128,129,129,129,130,129,130,129,130,130,129,
129,128,127,126,125,123,123,122,121,121,121,122,123,124,126,127,128,130,130,132,131,133,131,132,
129,128,124,122,117,115,111,107,104,100, 99, 96, 93, 92, 89, 88, 86, 85, 84, 84, 84, 85, 86, 88,
 93, 95,100,103,109,113,115,120,122,126,127,128,130,131,133,134,136,136,138,139,140,141,142,142,
143,141,142,140,141,138,139,137,138,138,138,139,140,140,142,142,144,144,144,147,145,147,147,146,
146,145,145,144,141,140,137,136,133,132,129,127,126,123,123,121,123,122,123,123,125,126,129,130,
134,135,139,141,144,147,147,151,151,153,152,154,153,153,151,149,146,143,140,135,131,126,120,116,
111,105,103, 98, 96, 92, 92, 89, 89, 88, 90, 90, 91, 94, 95, 98,100,104,105,109,110,114,115,118,
120,121,124,125,128,129,131,132,132,134,134,136,137,138,139,141,141,143,143,145,146,148,150,150,
153,154,156,156,157,157,156,156,153,152,148,147,142,140,136,131,128,123,120,116,115,113,110,110,
110,110,110,112,113,115,117,118,121,122,125,127,128,131,132,134,134,137,137,139,139,142,141,143,
141,142,140,139,136,133,130,126,122,119,116,114,111,110,108,107,107,105,106,104,105,103,103,104,
104,106,107,109,110,112,114,117,118,121,122,125,124,126,126,127,126,126,125,125,126,125,127,127,
129,130,131,134,136,138,140,142,144,147,148,150,152,152,154,154,155,154,154,153,150,150,147,146,
142,141,138,136,132,130,126,124,122,119,116,115,112,111,110,109,108,108,109,107,109,109,111,112,
114,116,118,120,121,124,125,126,127,128,130,130,132,132,131,131,130,129,128,127,126,123,123,119,
119,116,116,113,113,110,108,107,106,105,102,103,101,102,100,101,101,100,100,100,100,100,101,101,
101,100,101,101,101,101,101,102,102,104,106,109,112,114,120,122,128,131,137,140,146,148,153,156,
160,162,165,167,169,170,171,171,172,173,171,169,168,164,162,159,154,150,145,141,137,131,129,124,
123,120,118,118,117,118,118,120,121,124,126,128,129,132,132,135,134,135,136,135,136,135,135,135,
133,134,133,133,132,130,130,127,127,125,125,123,123,121,122,121,122,122,123,123,124,125,124,125,
124,125,122,123,121,121,119,119,116,117,115,115,114,114,114,113,113,112,113,113,114,114,116,117,
120,122,125,129,132,136,140,143,147,149,153,157,158,163,164,167,167,170,171,171,171,170,169,167,
166,162,161,156,155,150,149,145,144,141,139,138,136,136,134,134,134,132,132,130,131,130,130,129,
128,127,125,126,123,123,121,120,117,116,113,113,110,109,107,106,106,105,105,105,106,106,108,109,
111,111,114,114,116,116,118,117,118,116,116,114,113,112,110,108,106,103,101, 97, 95, 91, 89, 85,
 83, 80, 79, 75, 75, 73, 73, 72, 72, 73, 75, 75, 79, 80, 85, 88, 91, 96,100,105,110,115,119,125,
128,134,138,141,144,147,148,151,152,154,154,156,156,157,156,157,156,156,155,154,154,154,153,151,
151,148,147,147,144,144,142,140,140,139,140,139,141,142,141,142,141,141,141,139,138,135,134,132,
130,130,128,128,129,127,129,129,130,131,131,132,132,134,134,135,135,137,136,139,139,140,141,143,
142,142,141,140,138,136,133,130,126,123,120,116,114,110,109,107,106,104,104,102,103,103,104,105,
107,109,111,114,116,119,122,125,129,131,135,139,141,143,146,148,150,152,152,154,154,155,156,155,
157,156,157,156,158,157,156,157,157,156,157,157,157,158,158,158,159,160,158,160,158,159,157,158,
156,154,153,152,148,147,143,140,138,134,133,128,127,123,123,119,119,117,116,115,114,115,115,115,
117,119,121,122,125,127,129,132,133,134,135,135,136,134,133,130,128,124,122,117,113,108,104,100,
 95, 92, 87, 85, 81, 79, 76, 75, 73, 73, 72, 71, 72, 71, 72, 72, 73, 74, 75, 78, 78, 81, 82, 86,
 87, 91, 92, 95, 96, 99, 99,102,103,105,105,107,108,110,113,113,117,117,121,123,127,130,131,136,
137,141,143,145,147,148,147,148,147,145,144,143,141,140,137,136,134,133,131,129,127,125,123,122,
121,119,118,116,115,116,115,117,118,120,123,125,128,130,133,136,138,141,141,144,145,147,148,148,
150,149,150,150,148,148,145,144,142,139,138,134,133,129,128,124,124,121,121,119,119,118,118,118,
119,119,118,121,121,121,123,124,124,126,126,128,128,129,130,129,131,129,131,130,130,131,131,132,
133,134,135,138,140,142,145,147,150,152,155,157,160,162,163,167,167,170,169,171,171,171,170,170,
168,167,164,163,160,157,155,150,148,143,142,139,136,134,132,131,129,129,129,127,128,127,128,129,
128,131,131,131,133,134,136,137,138,138,139,139,141,141,141,141,140,140,138,137,135,134,132,130,
128,126,124,121,120,116,115,113,112,110,109,107,107,106,105,104,103,102, 99, 99, 97, 94, 93, 90,
 90, 87, 86, 83, 82, 80, 80, 79, 78, 78, 78, 80, 81, 84, 85, 88, 91, 94, 95,100,103,105,110,113,
118,122,125,131,133,138,139,142,142,145,144,143,142,139,138,134,132,128,125,121,120,116,115,112,
112,110,108,108,108,106,107,106,107,108,108,110,112,113,116,117,120,122,122,125,125,128,127,129,
129,128,130,129,130,128,130,129,130,128,130,128,130,128,129,128,129,130,128,130,129,131,131,131,
132,133,132,134,133,134,133,132,132,130,130,129,126,126,124,122,122,119,120,118,119,118,120,119,
121,121,124,125,128,130,133,136,137,142,144,150,152,156,159,162,165,167,170,170,172,172,173,172,
173,171,171,168,168,165,165,162,159,158,156,153,152,150,149,147,146,145,144,143,143,142,142,142,
142,142,142,142,141,141,139,137,137,136,135,134,133,130,130,129,129,128,128,129,129,130,130,132,
133,135,135,137,136,138,138,139,138,140,138,140,138,139,137,137,134,133,129,127,124,120,117,113,
108,105,102, 98, 96, 92, 91, 88, 87, 85, 85, 85, 84, 86, 86, 89, 90, 94, 95, 99,101,103,106,108,
112,113,117,118,121,122,126,127,129,130,130,132,131,132,131,131,131,128,128,125,125,123,123,121,
121,120,120,119,118,119,118,119,117,118,117,116,116,115,115,113,113,111,111,110,108,107,105,104,
102,102,100,100, 99, 99,100, 99,101,101,104,105,106,110,111,115,116,120,121,125,125,128,129,131,
131,133,132,133,132,132,130,130,127,126,124,121,120,117,117,114,114,112,111,110,109,109,108,109,
110,111,113,114,117,118,122,124,127,130,132,136,138,142,144,147,148,150,151,153,154,154,155,155,
156,155,157,156,158,158,158,160,160,161,161,163,163,165,164,166,165,167,165,167,167,167,166,166,
164,164,162,160,159,156,153,151,147,145,141,139,135,133,130,128,125,124,122,122,121,120,122,123,
123,126,127,131,132,136,137,141,141,144,144,147,147,148,148,148,146,145,143,141,138,137,133,131,
127,125,122,119,115,113,110,107,104,103,101, 99, 98, 97, 97, 97, 98, 99,101,103,103,105,108,108,
111,110,112,111,113,111,113,112,114,113,115,115,118,119,121,124,126,127,130,131,133,134,136,137,
139,140,141,142,144,144,145,145,146,145,145,144,141,140,137,135,132,129,126,123,119,116,114,110,
109,105,104,102,100, 99, 97, 97, 97, 96, 97, 98, 99,100,102,103,106,107,110,112,112,115,115,117,
117,118,118,118,117,116,115,113,113,110,110,107,107,105,104,103,102,101,100, 99, 99, 99, 99,100,
101,102,104,104,106,107,109,110,111,112,113,113,113,114,114,116,116,116,118,117,119,119,121,121,
124,125,128,129,132,134,136,139,140,144,146,151,152,157,158,163,164,167,170,171,173,174,173,175,
175,174,173,171,169,167,165,162,160,157,155,151,150,148,146,144,142,140,139,137,137,137,136,136,
136,136,137,138,139,140,141,144,144,146,146,148,149,149,149,148,149,147,147,145,144,144,142,140,
140,137,137,135,135,133,132,130,130,129,128,127,124,125,123,121,120,119,116,116,115,113,113,111,
112,111,111,108,109,106,107,104,104,101,102,100,101,100,103,103,106,107,110,113,116,120,122,128,
129,135,136,141,144,146,149,151,152,154,155,154,155,153,154,151,151,148,145,142,139,137,134,132,
130,128,127,125,124,124,122,122,121,122,121,121,122,122,123,124,125,125,126,126,125,126,127,126,
126,124,125,123,124,121,121,118,118,115,116,114,112,112,111,110,110,110,107,109,107,108,107,109,
108,110,110,109,110,110,110,109,109,107,107,105,103,102,100, 98, 97, 94, 94, 92, 91, 91, 90, 91,
 90, 92, 92, 95, 95, 99, 99,103,105,109,112,116,120,124,126,131,133,137,139,142,143,145,146,147,
147,148,149,148,147,147,147,145,146,144,144,144,143,144,143,144,143,143,143,143,142,143,143,143,
143,144,143,144,142,143,142,142,142,140,141,139,140,138,139,138,137,137,137,137,137,137,136,137,
137,138,137,139,139,139,140,142,141,144,143,146,147,147,148,147,147,144,143,141,137,135,132,128,
126,122,121,117,116,113,113,111,109,108,106,106,104,104,102,102,101,103,102,105,106,108,111,113,
116,119,122,125,126,129,131,133,135,135,138,138,140,140,142,142,144,143,144,142,144,143,141,141,
140,138,138,136,136,135,135,134,134,134,134,134,135,134,135,135,133,134,132,132,130,130,129,128,
127,127,126,125,125,123,124,122,123,122,123,123,122,124,123,125,126,126,128,128,130,130,131,132,
132,132,131,131,130,129,127,127,126,125,124,121,122,119,119,115,115,113,111,109,107,105,105,102,
102,102,101,102,101,101,103,103,105,106,107,110,110,113,114,114,117,117,119,119,121,120,122,123,
123,125,126,125,127,128,128,129,128,130,129,130,130,132,131,134,135,136,137,139,139,141,140,142,
142,141,142,140,140,139,136,136,133,132,130,127,127,124,124,122,120,121,120,121,120,122,123,124,
124,126,127,129,130,132,133,135,135,136,138,139,140,141,142,142,144,143,144,144,142,142,140,137,
137,133,132,129,128,124,124,122,120,119,118,117,116,115,116,115,116,115,116,115,115,114,115,114,
115,115,116,115,117,116,118,117,119,118,120,121,122,123,125,126,128,128,131,131,134,135,137,138,
140,141,143,144,146,147,147,148,148,147,147,146,146,144,144,142,140,139,136,135,133,132,129,129,
128,125,125,123,123,122,122,120,121,121,120,121,120,122,122,125,124,127,126,129,129,132,132,134,
135,134,136,135,136,135,136,133,134,132,132,130,130,129,128,128,126,126,125,125,123,124,122,123,
121,123,122,123,122,123,123,123,123,123,123,123,123,123,124,124,124,124,124,124,124,125,125,125,
126,125,127,126,128,128,130,130,130,132,131,134,134,135,136,137,138,139,140,140,142,142,143,143,
144,143,144,143,144,142,141,140,139,137,136,134,132,131,129,126,123,122,119,118,115,115,114,114,
112,114,112,114,115,115,116,116,117,116,117,117,117,118,117,118,117,118,118,119,120,120,121,121,
122,121,123,122,122,121,120,120,118,119,117,118,116,118,116,117,116,117,115,116,114,115,113,114,
112,112,110,111,109,110,109,109,109,109,110,109,109,110,111,112,112,114,116,116,119,120,123,125,
128,131,134,137,138,141,142,145,145,148,148,150,150,151,150,151,150,149,149,147,147,145,144,142,
141,140,138,138,136,136,135,133,133,132,132,132,132,132,132,131,132,132,131,132,130,131,130,131,
130,131,130,131,130,130,130,129,130,128,130,128,129,127,128,128,127,128,127,128,126,128,126,128,
128,128,128,128,127,128,128,128,128,128,126,127,125,126,125,125,124,123,123,123,122,122,121,122,
122,121,122,122,123,123,125,125,128,129,131,133,134,137,137,140,140,142,142,144,144,145,145,146,
146,146,147,147,147,147,148,148,147,147,149,147,149,147,148,147,147,145,145,143,142,140,139,137,
135,133,132,131,130,129,127,127,125,125,123,123,121,121,119,118,118,116,116,114,113,113,112,113,
113,113,114,114,115,115,116,116,117,117,117,116,116,116,116,116,116,115,115,113,114,113,112,110,
110,107,106,105,103,102,100, 99, 97, 96, 95, 94, 94, 92, 93, 92, 93, 92, 94, 95, 95, 97, 98,101,
102,104,105,108,109,112,113,116,118,119,122,123,125,127,129,130,132,133,134,136,137,137,139,138,
139,138,138,138,137,138,136,138,136,138,136,138,136,138,136,137,137,135,136,134,135,133,134,132,
133,131,132,132,131,131,131,131,131,130,131,130,131,131,132,132,133,133,134,134,135,135,136,136,
135,137,135,137,135,136,136,135,135,133,134,132,132,131,129,129,128,127,126,126,124,124,123,124,
122,123,122,124,123,124,123,125,124,126,126,128,128,130,129,132,133,134,135,135,138,138,140,141,
141,143,143,145,145,146,146,147,148,147,148,147,149,150,150,152,152,155,155,157,157,159,158,159,
157,157,156,153,153,150,149,146,146,143,143,141,141,139,140,137,138,136,136,134,132,131,129,129,
127,128,128,127,128,128,129,129,130,130,129,130,129,130,129,129,127,128,127,125,125,123,123,121,
120,119,118,116,114,113,111,110,109,106,106,104,102,102,101, 99, 98, 98, 96, 96, 95, 94, 93, 93,
 91, 93, 91, 93, 93, 93, 95, 94, 96, 96, 98, 99, 99,101,102,104,105,106,108,109,111,112,115,116,
119,120,123,124,125,128,128,129,129,130,130,130,130,129,130,130,129,129,127,128,127,125,125,123,
124,124,122,123,122,121,122,121,123,122,123,124,124,125,126,126,128,128,130,131,132,132,133,133,
134,135,134,135,135,135,135,135,134,135,134,134,135,133,134,133,132,132,131,131,130,131,130,131,
130,130,131,130,131,130,131,130,131,130,130,129,130,129,130,128,130,128,129,128,129,128,129,128,
129,129,129,130,130,132,131,134,134,136,136,138,138,141,140,143,144,144,146,148,148,150,152,152,
155,154,157,156,157,155,156,154,154,151,151,148,148,145,144,143,141,141,139,139,138,137,137,136,
136,135,135,135,133,134,133,135,134,135,135,137,136,138,138,137,138,138,137,137,136,136,134,134,
133,133,132,130,130,128,128,126,126,125,124,123,123,122,122,120,121,119,119,117,117,116,115,114,
113,111,110,108,106,104,102,101, 99, 98, 96, 95, 95, 93, 94, 92, 93, 93, 93, 94, 94, 96, 96, 98,
 99,101,103,104,107,109,109,112,113,115,116,117,118,119,120,120,119,120,119,120,120,119,118,117,
115,115,113,114,111,112,111,112,110,111,110,112,111,113,113,113,115,115,117,117,119,119,121,121,
123,122,125,124,126,125,125,125,124,125,124,125,124,125,126,125,126,126,127,127,128,128,129,129,
130,130,132,132,133,134,133,135,135,136,136,134,136,135,135,135,135,133,134,133,132,132,131,130,
131,130,130,131,130,131,131,133,133,135,135,138,139,140,142,142,144,144,146,146,148,147,149,149,
151,150,153,153,153,154,155,154,155,155,155,153,153,151,151,149,149,148,148,148,146,148,147,146,
147,146,147,146,146,145,146,143,144,143,142,141,141,139,139,137,138,136,137,135,136,134,135,133,
133,132,133,132,133,132,133,133,134,133,134,134,135,136,135,136,136,137,136,137,136,135,136,133,
134,131,131,129,128,124,124,120,119,116,115,112,111,109,109,107,107,107,107,107,106,107,106,108,
107,110,110,111,113,113,116,116,119,118,121,120,122,122,122,123,122,122,122,121,121,119,119,118,
118,118,116,117,115,117,115,115,115,114,115,114,115,114,113,114,113,113,112,111,112,110,111,110,
111,109,111,109,110,109,110,108,109,107,108,106,107,106,106,107,107,108,107,109,109,111,111,113,
114,115,115,117,119,120,120,122,122,123,124,123,123,123,123,123,121,121,120,120,118,119,117,118,
118,117,118,117,118,117,118,119,120,120,122,123,126,127,130,131,134,134,138,138,139,140,141,142,
142,142,143,141,143,142,143,143,144,144,145,146,146,148,147,149,149,151,150,151,151,153,152,154,
154,154,156,156,156,157,157,156,157,156,154,154,153,151,150,148,145,144,142,141,138,138,135,135,
133,134,132,133,131,133,132,134,133,136,135,138,138,139,140,141,142,141,143,142,143,142,143,141,
142,139,140,138,138,136,135,133,131,130,127,126,123,123,121,119,119,117,117,116,116,116,116,117,
116,117,117,118,118,120,121,120,123,121,124,123,123,124,124,123,124,124,123,124,123,124,124,125,
124,125,124,126,126,126,127,127,128,130,130,131,131,132,133,132,134,134,134,133,133,132,132,128,
128,126,124,123,120,119,116,116,113,113,111,111,108,109,107,108,106,108,106,108,107,108,109,108,
110,109,111,111,113,113,113,114,114,114,114,114,113,113,112,112,110,110,109,109,108,107,105,105,
103,105,103,104,104,105,105,106,106,107,108,109,110,111,113,114,116,117,120,120,122,121,124,124,
123,124,123,123,122,122,121,120,120,120,120,120,121,123,122,126,127,129,130,133,134,137,139,141,
143,143,147,147,150,149,152,152,153,153,153,152,153,151,151,148,148,147,145,143,142,139,138,137,
135,135,134,133,133,132,133,132,132,134,134,136,137,137,140,140,141,142,143,143,144,142,143,141,
142,140,140,138,138,137,135,135,132,133,131,130,129,128,128,127,127,126,127,126,127,126,127,126,
128,127,128,127,127,126,125,125,125,122,123,120,120,118,119,118,116,117,115,116,115,116,116,117,
117,119,118,121,121,124,125,128,129,132,134,135,138,139,140,142,143,144,145,145,145,144,144,141,
141,139,138,136,135,134,130,130,127,128,125,126,124,124,124,123,124,124,125,126,127,128,129,130,
132,130,133,132,132,132,133,130,131,128,128,127,125,124,122,122,120,119,117,117,114,115,112,113,
111,112,111,113,112,113,114,114,116,115,117,116,118,116,118,116,117,114,115,113,113,113,111,112,
110,111,110,110,110,108,109,107,107,106,106,106,106,106,107,107,109,111,112,115,117,119,122,124,
126,128,131,131,134,133,136,136,136,136,136,137,136,135,136,135,135,134,134,133,133,134,133,133,
132,133,132,134,133,135,135,135,137,136,139,138,140,139,141,140,140,140,140,140,140,140,139,139,
138,137,136,135,134,133,133,132,132,132,133,134,132,135,135,135,137,138,138,139,140,140,142,142,
143,141,143,141,142,139,140,137,137,136,133,132,129,128,125,124,121,121,118,118,115,117,114,116,
116,116,117,118,120,122,123,126,128,129,132,132,135,135,136,137,137,138,137,138,138,138,137,137,
135,136,134,134,133,133,131,132,131,131,130,131,130,130,131,130,132,131,132,134,135,134,136,135,
137,137,138,136,137,136,135,135,133,133,132,130,129,128,126,124,124,124,121,123,121,123,121,123,
122,124,124,124,126,127,127,129,130,131,132,132,134,133,134,132,133,130,130,127,126,124,122,119,
117,115,113,112,111,110,110,110,110,110,111,111,112,112,113,113,115,114,117,117,117,118,118,119,
119,120,120,121,120,121,120,120,119,120,118,119,117,118,116,118,116,118,117,119,119,119,120,121,
122,124,124,126,127,128,129,130,132,131,133,132,131,131,130,129,127,127,125,124,122,122,119,120,
118,117,117,116,116,116,117,118,117,120,120,122,123,125,126,129,130,133,134,136,137,138,140,138,
140,139,139,138,137,137,135,135,132,132,129,129,126,126,122,123,120,121,119,120,119,118,119,119,
120,120,122,121,123,123,125,125,127,126,128,128,128,129,129,130,129,130,130,129,129,129,128,129,
127,129,127,129,127,129,128,129,129,130,131,131,133,134,136,137,138,139,140,140,141,140,140,140,
139,138,137,137,135,135,133,133,131,131,129,130,127,128,127,126,126,125,126,127,125,128,128,129,
130,130,132,133,133,134,136,135,137,135,137,137,137,136,137,136,137,135,135,135,133,133,131,131,
128,128,125,126,124,124,122,124,122,124,123,125,125,127,128,130,131,132,132,133,134,134,134,134,
133,133,133,131,131,129,129,128,125,126,124,123,123,122,122,122,122,122,123,124,124,126,126,128,
129,130,132,131,134,133,135,134,136,135,135,135,134,133,131,131,129,126,125,124,120,120,118,117,
114,115,112,113,112,111,112,112,111,113,113,115,115,117,117,119,119,121,121,123,124,123,125,124,
126,125,124,125,124,122,122,120,120,119,118,117,116,116,115,116,114,115,114,116,115,117,116,118,
118,119,120,119,121,119,121,120,121,119,121,119,120,120,118,119,117,118,117,117,116,117,116,117,
117,117,119,119,121,123,123,125,126,129,131,131,134,134,136,136,139,139,140,141,142,140,142,140,
141,139,139,138,136,136,134,134,132,132,131,131,128,129,127,128,127,128,128,128,129,129,131,132,
133,133,135,134,137,136,137,137,136,136,135,135,133,133,132,132,131,130,129,130,129,129,129,130,
129,130,130,130,131,130,131,132,132,133,133,133,135,133,135,134,135,135,135,135,135,135,134,134,
133,133,131,132,131,129,129,128,128,128,127,128,127,128,128,128,130,131,131,133,134,136,137,138,
139,140,141,142,142,143,144,144,143,144,143,144,142,143,141,142,139,140,138,138,137,135,135,133,
133,132,132,131,131,130,131,130,131,130,131,129,131,129,130,127,128,126,127,124,124,123,121,121,
119,119,117,118,116,116,115,116,115,114,115,114,115,115,116,115,117,116,117,117,118,118,118,117,
118,117,118,116,117,115,116,114,114,111,111,109,108,106,106,104,103,102,102,101,101,100,101,102,
102,102,104,105,107,108,111,112,114,116,117,118,121,120,123,122,124,124,126,125,127,126,126,128,
126,128,126,126,126,126,127,126,127,126,127,127,128,130,130,132,132,134,134,135,136,137,137,137,
138,137,138,137,138,138,137,137,136,136,135,135,134,134,132,132,130,131,130,129,129,129,128,129,
129,130,130,132,132,134,135,135,137,136,138,137,139,138,139,137,138,136,136,135,134,132,132,130,
130,129,128,127,127,126,126,126,127,127,126,128,127,129,129,130,130,132,132,132,134,133,135,134,
135,134,136,135,136,135,135,134,135,134,133,134,132,134,132,134,133,135,135,136,135,136,138,138,
140,139,141,141,142,141,143,142,142,142,142,142,141,141,140,139,139,138,136,136,135,134,132,132,
130,130,128,129,126,127,126,127,125,127,126,127,128,128,128,129,129,130,130,130,130,130,129,129,
128,128,126,126,125,123,122,120,119,117,116,114,113,112,109,110,107,108,106,106,105,105,105,105,
104,105,104,105,105,104,106,105,106,105,107,105,107,105,107,107,106,105,106,106,105,106,105,107,
106,108,108,108,109,110,111,113,114,115,116,117,119,120,121,121,124,124,126,125,128,127,129,128,
129,129,129,127,128,126,126,126,125,125,125,124,125,124,125,125,125,125,126,126,127,128,128,130,
130,131,132,132,134,135,136,137,137,138,139,139,138,139,138,139,138,137,138,136,137,136,136,135,
135,135,133,134,132,134,133,134,134,134,134,135,135,136,136,137,137,138,138,139,139,140,140,139,
140,139,138,139,138,138,138,136,137,136,135,135,134,135,133,135,134,134,135,135,137,137,139,139,
140,142,142,144,144,145,145,146,146,147,146,147,147,145,146,145,143,143,141,141,140,138,138,136,
136,134,134,133,133,133,133,133,133,134,133,134,133,134,134,135,135,134,136,135,135,135,134,135,
134,134,133,133,132,133,132,131,131,129,129,128,128,127,127,126,126,125,126,125,124,125,124,124,
124,122,123,121,122,120,121,119,119,118,117,115,115,113,113,111,111,109,109,107,107,106,105,105,
104,105,104,106,105,107,107,109,110,110,113,112,114,115,115,116,115,116,116,115,116,115,116,115,
114,115,113,114,112,113,112,111,111,110,110,109,110,109,110,111,111,111,113,113,115,116,116,117,
117,118,119,120,119,120,121,120,120,119,120,119,120,119,119,120,120,119,120,119,120,119,120,120,
121,121,122,122,124,125,125,127,127,129,129,130,131,132,132,133,134,133,135,133,134,134,133,133,
131,132,130,130,128,129,127,128,128,129,128,130,129,131,131,131,133,134,134,136,136,138,139,139,
141,140,142,142,143,143,144,144,143,144,144,143,144,144,142,143,141,142,140,141,139,140,138,139,
139,138,139,139,139,140,140,141,141,141,142,141,142,141,142,141,142,140,141,139,139,138,138,136,
136,134,134,133,131,131,129,130,128,130,128,130,129,131,132,131,133,133,134,135,136,137,138,136,
138,137,138,136,137,136,134,134,132,132,130,128,126,125,123,122,120,119,117,117,115,116,114,115,
114,114,115,115,114,116,116,117,117,119,120,119,122,121,123,123,124,125,125,124,125,123,124,122,
122,121,120,120,118,118,117,116,116,115,115,114,115,114,115,115,114,115,115,116,116,117,117,118,
118,119,119,119,120,119,120,118,119,118,117,117,115,116,113,114,113,112,113,112,113,113,113,114,
114,116,117,118,118,119,120,121,121,122,122,123,123,124,125,124,125,124,125,124,125,123,124,124,
122,123,121,122,121,121,121,120,121,122,122,121,123,123,125,124,127,127,128,129,131,131,133,132,
135,134,136,135,136,136,135,135,134,135,134,133,133,133,133,133,134,134,135,136,136,138,137,139,
139,141,141,142,143,143,144,143,145,144,145,143,144,143,143,142,142,140,140,140,138,137,137,136,
134,134,132,133,132,132,130,132,130,132,131,132,133,133,135,134,137,136,138,137,140,138,140,139,
140,139,140,138,139,137,137,135,135,134,132,131,130,128,128,126,126,125,123,124,123,124,123,124,
123,124,124,124,124,125,125,125,126,125,126,125,126,124,125,125,124,124,122,123,122,121,121,121,
121,121,121,122,122,121,123,122,124,124,126,125,127,127,129,128,130,130,130,131,131,129,130,129,
129,128,128,126,126,126,124,124,122,122,120,121,120,118,118,117,117,117,116,117,116,117,117,117,
119,118,120,121,121,122,124,123,125,125,124,125,124,124,123,123,121,122,120,120,119,118,117,117,
115,116,114,116,115,116,115,116,115,117,118,117,119,118,120,119,121,120,122,122,122,123,122,123,
124,122,123,123,122,123,121,122,121,121,120,121,119,121,119,121,122,122,123,123,126,126,128,128,
131,131,134,134,137,136,139,139,140,141,142,142,142,142,141,141,140,140,138,138,136,136,135,135,
134,134,132,134,132,134,134,134,135,135,136,136,138,137,139,139,139,140,140,141,141,140,141,140,
140,139,139,138,137,137,135,136,134,135,133,134,132,133,132,131,132,131,132,131,132,131,132,131,
133,132,133,132,133,132,133,131,132,130,131,129,129,127,127,125,125,124,122,122,120,121,118,119,
117,119,117,119,119,119,119,120,120,122,124,123,126,126,127,128,129,129,131,130,131,131,132,131,
131,130,128,128,126,127,124,125,123,122,122,123,121,123,122,123,123,124,124,125,125,126,127,127,
127,127,128,126,128,126,128,126,127,127,127,127,125,126,124,125,123,124,123,122,122,122,121,120,
121,120,121,120,121,120,122,121,123,122,123,122,124,123,124,123,124,122,123,121,122,121,120,119,
116,117,115,115,114,113,113,112,112,112,111,112,112,113,114,113,115,114,116,117,117,119,120,120,
122,123,123,125,126,125,127,127,126,127,126,127,125,127,125,126,124,125,123,125,124,124,124,125,
124,126,125,127,127,129,129,130,132,131,133,133,133,134,134,135,135,136,136,135,136,134,135,134,
133,134,132,133,130,131,130,130,129,129,130,129,131,131,132,133,134,136,136,138,139,140,142,141,
143,142,144,142,143,141,142,140,140,138,137,136,133,133,130,130,127,127,125,125,124,123,124,123,
122,124,123,124,125,124,126,127,127,128,128,129,131,131,132,132,132,132,133,133,133,131,132,131,
131,130,130,129,129,128,127,128,126,127,126,127,127,128,128,129,130,131,131,132,133,134,134,135,
137,136,137,136,137,136,136,136,135,134,132,132,130,129,128,127,127,126,126,126,126,126,127,127,
128,128,129,130,130,132,133,132,135,134,136,135,136,135,136,136,136,134,134,132,132,130,128,128,
126,125,124,122,121,120,120,118,119,118,119,118,119,119,120,121,122,121,123,122,124,122,124,123,
124,123,124,123,123,122,122,121,120,119,118,117,116,114,114,113,113,113,113,113,114,113,115,115,
115,117,117,118,118,119,121,121,124,123,124,125,125,126,126,126,126,125,124,123,122,121,119,119,
117,116,116,115,115,116,115,116,116,117,118,119,120,120,122,122,125,125,126,128,128,129,131,130,
133,133,132,133,132,132,133,131,132,130,130,129,129,128,127,126,126,126,124,126,124,126,125,126,
126,127,129,128,130,130,132,132,133,133,133,134,135,133,134,133,133,131,130,129,128,127,127,126,
125,125,125,125,126,125,127,128,127,129,129,130,131,131,133,134,134,135,135,136,136,137,137,138,
138,137,138,136,137,136,134,135,132,133,130,131,128,129,127,128,126,127,126,128,127,129,129,130,
131,132,133,135,136,137,138,139,140,139,141,139,141,140,140,138,138,136,136,135,132,133,131,131,
129,129,126,127,125,126,126,125,126,126,127,127,129,130,131,132,133,134,135,135,136,136,136,137,
137,135,135,133,132,130,129,128,127,125,124,123,122,122,120,121,120,121,120,122,123,122,125,126,
127,128,130,130,131,132,132,133,134,133,134,133,133,131,131,129,129,126,125,123,122,120,118,117,
115,114,113,113,112,111,112,111,113,112,115,115,116,117,119,119,121,121,122,122,123,123,123,123,
122,122,121,121,119,119,117,116,115,114,114,113,113,112,113,112,113,113,115,116,116,118,118,120,
122,121,124,124,125,125,125,126,126,127,126,126,125,125,124,124,122,121,120,119,118,117,117,117,
114,116,114,116,116,116,118,118,121,122,124,125,128,128,132,133,134,136,137,138,139,138,139,138,
138,137,137,135,135,134,133,133,130,132,129,131,129,130,129,130,130,131,132,132,132,134,135,136,
137,137,140,139,141,140,142,141,142,141,142,141,140,140,138,138,137,135,134,134,131,133,131,131,
131,130,132,132,132,133,134,134,136,136,137,137,138,138,139,139,140,139,140,139,140,139,138,138,
136,135,135,133,132,131,130,128,128,126,126,125,125,124,124,124,124,125,124,126,127,126,129,128,
131,131,133,132,135,134,136,134,136,135,133,134,132,132,129,130,129,128,127,126,125,126,124,125,
124,125,124,125,126,125,126,126,128,127,128,128,128,129,129,129,129,129,128,129,127,128,126,125,
125,124,123,121,120,118,116,115,114,114,111,112,112,112,112,113,115,115,117,117,119,121,121,123,
123,124,124,124,124,124,122,121,120,118,117,114,113,111,109,107,106,104,103,102,101,100,100, 99,
100, 99,101,101,104,105,108,109,113,113,117,118,120,122,124,126,128,128,130,129,131,131,130,131,
131,130,129,129,126,126,125,123,123,123,121,121,119,119,118,118,118,119,120,123,125,129,133,134,
139,140,144,145,146,148,148,149,150,151,151,151,151,152,153,153,155,156,158,158,160,160,159,161,
161,161,162,162,162,161,162,161,160,159,157,155,153,151,150,150,148,148,145,143,139,135,133,131,
128,130,128,131,130,132,131,130,130,129,129,128,129,128,130,128,129,125,125,121,121,117,117,114,
113,111,109,106,105,102,101, 99, 99, 98, 97, 96, 96, 96, 97, 98, 99,101,103,106,110,114,116,121,
123,125,128,128,130,129,131,129,129,127,127,125,125,122,122,120,120,117,116,114,112,110,108,108,
105,105,104,103,103,101,101,101,101,100,102,103,105,106,109,109,112,112,115,114,117,116,119,118,
119,118,120,119,120,120,122,122,123,122,122,121,121,121,121,120,121,120,121,121,122,122,123,124,
125,125,124,123,122,121,119,117,115,113,111,109,107,106,104,105,105,108,109,114,117,123,126,133,
139,143,148,151,154,155,157,158,157,158,156,157,156,157,156,156,156,155,155,153,152,148,145,142,
138,136,133,132,129,128,126,123,122,121,118,119,117,119,118,120,121,120,122,120,122,120,121,119,
119,116,116,113,113,113,113,114,115,117,119,122,125,127,131,134,138,142,144,151,155,162,168,174,
180,185,190,194,197,199,201,202,202,199,198,192,188,182,178,171,169,165,164,162,161,159,159,156,
156,154,154,155,154,156,155,157,157,158,158,159,159,159,160,160,161,161,161,160,158,158,157,154,
154,152,149,147,144,141,136,131,126,120,117,112,107,103, 99, 94, 91, 86, 83, 81, 77, 77, 75, 74,
 75, 75, 77, 78, 81, 83, 86, 88, 90, 92, 93, 94, 94, 92, 93, 92, 91, 90, 89, 89, 89, 87, 88, 87,
 89, 89, 92, 93, 96, 97, 99,100,100,100,101,101,102,102,100,100, 98, 98, 97, 97, 96, 95, 95, 95,
 95, 96, 97, 98,100,102,105,105,109,110,111,113,114,115,114,115,112,113,111,110,109,109,109,110,
108,110,110,110,113,113,116,117,119,119,122,121,123,123,122,123,121,120,118,116,114,113,112,113,
113,113,116,117,121,124,129,134,140,145,151,156,158,162,162,165,165,168,168,169,170,168,169,167,
168,166,167,165,166,164,165,163,164,162,163,161,161,159,159,157,157,157,156,155,155,153,153,150,
150,149,146,146,144,142,139,137,133,131,129,125,125,123,122,121,119,118,116,115,114,114,115,114,
115,115,114,114,113,113,113,115,117,120,123,128,130,135,137,140,140,141,140,141,142,141,141,141,
141,141,142,142,143,144,146,149,151,155,157,162,165,170,172,178,180,186,188,191,191,192,191,190,
188,186,182,180,177,173,172,169,165,163,161,157,156,152,150,147,144,139,137,132,129,126,121,119,
114,112,107,103,101, 97, 96, 93, 92, 90, 90, 88, 88, 88, 87, 88, 88, 90, 91, 91, 93, 92, 94, 93,
 94, 92, 92, 90, 90, 89, 87, 87, 86, 87, 87, 87, 88, 87, 89, 89, 91, 90, 91, 91, 88, 88, 84, 83,
 80, 78, 75, 73, 71, 67, 66, 64, 64, 63, 65, 66, 68, 72, 74, 79, 83, 89, 93, 99,102,107,111,114,
117,119,122,124,125,125,127,127,125,125,124,122,123,121,123,122,123,122,123,122,123,123,124,124,
122,122,119,117,113,111,106,104,100, 97, 95, 93, 93, 94, 96, 98,101,104,109,113,119,125,129,135,
139,144,148,151,153,156,158,160,162,165,167,170,172,175,177,177,180,181,182,183,182,182,180,177,
176,173,171,169,167,165,164,162,158,156,152,150,148,143,142,140,138,137,135,132,129,126,123,121,
119,119,120,120,122,123,122,123,121,119,118,117,116,115,115,114,115,116,116,119,121,125,128,132,
134,138,140,140,143,143,144,144,142,142,141,140,139,138,136,136,134,135,134,135,135,138,139,142,
142,145,145,147,147,146,146,145,143,143,141,141,140,141,141,142,144,145,147,149,151,155,159,163,
167,170,174,177,178,181,180,181,179,177,175,173,168,164,159,153,148,142,136,132,127,123,119,116,
113,111,109,106,106,103,102, 99, 99, 96, 96, 93, 92, 91, 89, 88, 86, 85, 86, 85, 87, 87, 89, 89,
 91, 92, 94, 96, 96, 97, 97, 98, 98, 99, 97, 97, 96, 93, 93, 91, 90, 88, 88, 86, 88, 87, 89, 88,
 91, 92, 96, 97,100,102,105,108,109,112,112,113,111,112,109,108,105,102, 99, 95, 92, 88, 87, 85,
 86, 85, 88, 90, 93, 98,102,106,109,113,116,119,121,123,124,126,126,126,126,126,126,127,128,131,
131,135,136,138,141,142,145,145,148,148,150,149,151,149,149,146,147,144,146,146,147,150,152,156,
159,160,162,163,165,167,167,170,172,173,175,174,174,173,173,172,172,171,172,171,170,171,170,168,
168,165,166,163,163,162,161,161,162,161,163,163,164,165,163,164,163,160,158,154,149,145,138,134,
128,124,119,116,112,108,107,103,103,102,101,101,101,102,102,103,104,104,106,106,109,109,111,111,
113,115,118,121,124,130,133,139,142,147,149,153,154,158,158,160,159,159,158,157,154,153,149,147,
144,142,139,138,137,135,136,136,138,138,141,143,146,148,152,154,154,157,155,157,155,153,151,149,
144,142,136,133,128,124,120,118,114,113,111,109,110,110,112,112,115,115,118,117,120,120,120,121,
121,120,120,118,118,116,115,113,111,109,108,105,104,101, 99, 97, 93, 91, 87, 84, 81, 77, 74, 70,
 67, 63, 61, 59, 56, 56, 55, 57, 57, 60, 64, 67, 72, 77, 80, 86, 90, 97,102,109,113,118,120,123,
124,124,121,121,117,115,111,109,106,104,102,101,100,101,103,103,107,108,111,113,114,114,114,113,
112,110,109,108,107,106,103,101, 99, 98, 98, 98,101,103,107,108,112,113,116,116,119,120,122,126,
129,133,136,141,145,149,154,158,162,169,174,179,184,188,190,194,195,197,196,196,195,194,191,188,
184,181,176,173,168,165,160,156,151,147,143,137,135,130,128,124,124,122,123,123,125,126,128,130,
132,135,135,138,138,138,138,137,137,135,135,133,133,131,131,130,129,128,130,130,133,135,136,140,
141,143,144,145,144,145,143,143,141,139,138,137,134,134,131,132,130,130,129,130,129,128,125,125,
123,120,119,116,116,112,111,109,107,107,106,107,107,107,107,110,112,116,119,125,130,134,141,146,
152,157,163,167,170,173,173,174,171,170,165,162,156,150,143,138,131,126,120,115,111,108,105,104,
102,102,102,100,101,101, 99,101, 99,100, 99, 97, 97, 96, 97, 97, 98, 97, 98, 98, 97, 98, 98,100,
101,101,104,103,105,105,105,107,107,109,110,110,112,113,113,115,115,116,116,117,118,118,119,120,
122,122,124,124,125,124,124,123,123,120,118,113,109,101, 96, 88, 84, 78, 76, 72, 72, 70, 71, 70,
 73, 75, 80, 83, 90, 94,101,105,109,114,115,118,117,119,118,120,120,122,121,123,123,123,125,124,
126,126,129,130,131,132,133,133,134,134,135,135,136,138,138,141,141,145,146,150,152,155,156,159,
159,161,159,160,157,157,155,153,153,151,151,150,151,150,152,151,153,152,154,154,156,157,158,160,
162,166,170,173,178,182,185,190,192,196,197,198,199,197,197,194,191,185,179,171,164,155,149,141,
133,127,122,116,114,110,109,108,107,108,108,109,110,111,111,113,112,113,114,115,116,119,120,123,
126,128,131,133,137,140,141,144,145,147,149,148,151,150,152,150,151,149,151,149,150,149,147,147,
144,144,144,142,143,143,143,145,145,148,150,152,152,153,152,152,149,146,143,138,134,128,124,118,
114,107,104, 99, 98, 96, 97, 96, 99, 99,104,106,111,115,118,124,127,133,136,141,142,146,145,147,
147,146,146,143,143,140,136,133,128,124,119,113,110,105,101, 96, 93, 88, 86, 82, 77, 75, 72, 71,
 68, 67, 65, 64, 62, 62, 61, 61, 62, 64, 68, 72, 77, 80, 85, 88, 92, 95, 98,100,101,103,104,105,
104,105,104,103,101,101,101,103,106,107,111,115,118,122,125,128,130,131,133,133,133,131,129,124,
121,116,112,107,102, 97, 91, 88, 83, 81, 80, 77, 78, 77, 79, 80, 82, 85, 87, 91, 94, 99,104,109,
116,123,129,139,145,155,161,169,174,181,184,190,192,194,195,195,194,194,193,193,192,190,188,186,
182,180,176,173,169,166,161,159,155,152,149,147,145,143,143,143,142,143,142,144,144,143,143,142,
141,138,136,132,129,125,122,119,116,113,113,111,113,114,115,120,124,129,135,139,145,150,154,159,
162,167,169,171,172,173,171,172,170,170,167,166,163,160,157,154,150,147,142,138,133,129,125,122,
119,116,113,112,109,109,106,106,105,106,106,107,108,112,113,118,122,128,132,139,145,151,156,161,
167,170,174,175,177,175,176,172,171,167,165,161,156,152,147,143,139,136,133,132,130,128,128,126,
125,123,121,118,116,113,111,108,105,100, 96, 91, 87, 83, 80, 76, 72, 70, 67, 66, 63, 62, 60, 60,
 60, 61, 65, 67, 72, 75, 80, 83, 87, 90, 92, 97, 99,103,106,108,111,113,115,116,116,118,117,119,
118,119,119,117,116,112,110,105,101, 96, 90, 85, 78, 74, 69, 66, 62, 62, 61, 61, 63, 65, 69, 73,
 77, 83, 87, 94, 98,103,106,110,112,115,115,117,117,117,117,117,118,119,122,122,126,127,131,132,
137,138,141,141,144,144,147,147,150,151,154,157,158,162,162,165,166,165,165,163,162,159,156,153,
148,145,140,137,132,130,127,123,122,120,118,119,118,119,119,122,123,124,127,130,132,137,140,147,
151,156,163,167,173,178,183,186,189,189,190,187,186,182,176,172,165,159,153,146,141,134,131,125,
122,118,117,114,114,114,113,114,114,116,116,117,116,119,118,120,120,122,123,125,125,128,128,130,
130,132,133,135,138,140,144,146,149,152,154,158,161,164,167,169,170,172,173,173,172,171,171,170,
170,169,170,170,168,166,166,163,163,160,157,155,152,149,145,140,136,129,125,119,113,109,104,102,
 98, 97, 95, 95, 94, 96, 97,102,104,110,113,118,121,125,128,130,134,136,138,141,141,142,142,140,
139,135,133,130,126,123,119,117,113,111,108,105,103,101, 98, 97, 94, 92, 91, 88, 86, 85, 82, 79,
 76, 73, 71, 69, 68, 68, 67, 68, 68, 71, 73, 75, 79, 80, 84, 85, 88, 89, 90, 92, 93, 93, 96, 97,
 98,101,104,107,111,115,120,124,130,135,139,144,146,151,152,153,154,152,151,147,144,138,132,127,
121,116,112,106,103, 99, 95, 92, 88, 87, 84, 83, 81, 81, 80, 83, 84, 88, 91, 95,101,106,112,119,
123,130,137,142,148,152,157,160,165,167,171,172,175,176,178,178,180,180,181,181,181,181,180,180,
179,176,175,171,169,166,162,160,156,154,152,150,149,148,147,146,144,143,141,137,136,131,129,125,
122,118,115,112,108,106,104,103,104,104,108,109,115,118,124,128,134,140,145,152,157,161,167,169,
173,175,175,176,176,174,174,171,171,167,165,160,157,152,151,146,144,141,139,137,134,132,129,127,
124,123,121,119,119,118,118,116,116,115,116,116,118,120,123,125,130,133,136,140,143,147,151,155,
158,161,163,165,166,165,165,163,163,162,162,162,161,161,159,159,158,156,155,152,150,147,144,140,
137,132,128,123,116,111,104, 99, 93, 87, 81, 76, 71, 67, 63, 60, 58, 56, 57, 55, 57, 57, 59, 63,
 65, 70, 72, 78, 82, 85, 89, 91, 95, 97, 98,101,102,105,105,108,110,111,114,114,117,118,120,120,
121,121,119,118,115,113,110,105,102, 98, 94, 91, 85, 84, 80, 80, 79, 78, 80, 80, 83, 85, 88, 89,
 91, 92, 94, 93, 95, 94, 96, 95, 98, 98,101,102,104,107,111,113,117,119,123,125,129,131,135,139,
140,145,146,151,153,156,160,162,165,167,168,169,169,169,168,167,165,163,161,157,155,150,148,144,
142,139,137,136,134,134,133,134,134,133,133,132,132,133,133,135,135,138,141,143,146,150,152,157,
161,165,171,174,178,179,182,182,181,181,179,176,175,173,169,166,162,160,155,153,150,146,144,141,
139,137,135,132,130,128,126,124,123,121,120,119,116,114,111,110,107,106,105,103,104,104,106,106,
109,110,114,118,122,128,132,139,143,148,151,156,157,162,164,166,169,170,171,170,169,169,167,167,
165,164,162,162,161,161,160,158,157,154,150,147,143,140,135,133,128,126,122,121,118,115,114,112,
111,111,109,110,109,110,110,112,112,113,115,115,117,117,119,118,121,120,122,122,122,122,120,120,
119,118,117,117,116,116,116,115,116,115,115,114,114,113,110,106,103, 98, 94, 87, 82, 76, 71, 65,
 62, 56, 54, 51, 49, 48, 47, 48, 48, 50, 52, 55, 56, 60, 62, 63, 66, 68, 69, 72, 72, 76, 77, 82,
 85, 91, 96,101,107,113,116,122,125,129,131,133,134,135,135,133,134,131,130,128,126,123,122,118,
116,113,111,107,105,101, 99, 96, 95, 93, 92, 91, 92, 92, 93, 94, 96, 99,100,104,108,112,115,120,
124,128,131,135,139,143,148,153,157,162,166,171,176,178,183,186,190,192,196,198,198,199,197,197,
193,192,188,185,182,178,176,172,168,166,162,159,157,154,152,148,147,144,140,137,132,130,126,124,
121,120,120,119,119,118,119,118,120,122,126,129,132,137,139,144,146,150,152,156,158,159,162,162,
164,164,162,162,160,159,158,157,156,157,155,155,153,153,152,150,150,149,149,147,147,145,144,142,
140,138,134,132,129,124,123,119,119,117,117,117,119,120,124,125,130,132,137,140,143,148,151,156,
159,163,166,168,172,174,175,179,179,181,182,182,182,182,180,179,177,174,172,169,165,160,158,152,
149,144,139,132,127,121,114,109,102, 97, 90, 86, 82, 78, 76, 75, 73, 74, 74, 76, 77, 77, 79, 81,
 81, 83, 83, 84, 83, 84, 83, 82, 83, 81, 82, 81, 83, 83, 84, 87, 88, 92, 96, 99,104,105,109,109,
111,110,110,108,107,104,102,100, 97, 95, 92, 90, 89, 87, 85, 83, 82, 80, 80, 77, 77, 74, 74, 73,
 74, 74, 74, 76, 77, 80, 81, 85, 87, 91, 93, 98,102,106,109,114,118,120,124,127,130,133,137,140,
144,147,149,152,154,154,157,156,158,157,158,157,157,155,155,152,152,150,150,148,148,147,148,147,
148,148,146,147,146,146,146,145,144,142,141,139,136,135,133,134,135,136,137,140,141,145,147,150,
152,155,157,161,164,166,169,170,170,172,171,172,171,172,171,171,169,167,165,162,158,156,152,148,
146,141,138,135,130,127,123,118,115,110,108,103,102, 99, 98, 94, 95, 93, 94, 93, 96, 96,100,103,
108,113,118,125,130,137,141,146,150,152,155,155,157,157,158,157,157,157,155,156,156,156,156,156,
156,157,158,159,159,160,159,159,158,157,154,154,151,150,147,145,143,141,137,135,131,129,126,123,
118,116,113,110,109,107,108,107,107,109,110,111,112,113,113,115,114,116,116,117,118,119,119,122,
123,126,127,130,130,133,133,134,132,132,129,128,124,119,115,109,101, 95, 86, 80, 73, 66, 62, 56,
 54, 52, 50, 51, 50, 52, 54, 55, 59, 60, 63, 65, 66, 68, 70, 70, 73, 74, 77, 79, 82, 84, 87, 90,
 92, 94, 97, 99,103,106,108,111,112,115,116,118,119,121,123,124,127,129,129,131,131,132,131,129,
128,127,124,123,119,118,114,110,108,104,103,100, 99, 97, 97, 97, 95, 96, 96, 97, 98,101,104,106,
111,114,119,123,127,134,139,146,152,161,167,175,181,187,192,195,198,200,202,201,201,199,198,196,
191,189,184,181,177,175,171,169,166,164,161,158,156,154,151,148,148,145,145,143,141,140,138,138,
136,134,134,132,131,131,129,131,130,131,130,131,132,131,133,134,135,137,138,141,143,144,147,147,
150,149,152,152,152,154,156,156,159,161,164,166,167,169,168,169,167,167,163,161,155,152,145,140,
133,128,122,116,113,108,104,102,100,100,100,101,104,106,109,112,116,119,124,127,133,137,142,146,
151,155,157,162,163,166,166,167,167,166,164,163,160,160,159,156,156,155,153,152,149,148,144,142,
139,134,132,127,124,119,116,111,109,105,102,100, 96, 96, 93, 94, 92, 92, 92, 91, 91, 89, 88, 86,
 85, 83, 81, 78, 76, 73, 73, 71, 73, 73, 77, 79, 84, 88, 94, 97,102,107,110,115,118,122,123,126,
124,125,122,121,117,115,113,109,107,103,101, 96, 94, 90, 85, 82, 78, 76, 73, 70, 70, 67, 68, 68,
 69, 70, 72, 74, 78, 81, 86, 88, 92, 94, 97, 99,102,104,107,109,112,113,116,117,120,122,123,126,
129,130,134,135,138,138,141,141,142,141,143,143,145,146,148,150,152,153,155,157,159,161,161,163,
162,162,159,159,155,153,150,145,143,139,136,134,131,130,129,129,129,129,131,133,135,139,142,147,
150,156,159,164,168,172,174,178,180,182,184,184,185,185,183,183,180,179,175,171,169,164,161,156,
154,149,147,142,139,136,131,129,124,122,118,114,112,110,107,106,105,106,106,109,110,114,117,119,
123,126,129,131,133,134,136,136,135,136,134,135,134,134,134,133,135,135,138,138,142,143,147,149,
152,155,157,159,162,162,164,165,166,165,165,163,161,158,153,150,144,140,134,130,126,121,118,113,
111,107,105,105,104,105,105,106,108,108,112,112,115,116,118,119,122,123,126,127,128,131,133,134,
137,138,141,142,145,144,144,143,139,136,131,127,122,116,112,105,101, 95, 89, 86, 81, 79, 76, 77,
 75, 76, 77, 76, 77, 77, 78, 78, 77, 78, 76, 77, 76, 76, 75, 74, 72, 73, 72, 74, 74, 74, 77, 77,
 80, 80, 83, 84, 88, 90, 95, 99,102,108,111,117,121,124,129,132,136,139,140,143,141,142,139,138,
133,131,126,123,119,114,112,107,105,101, 98, 96, 95, 92, 92, 90, 90, 89, 91, 90, 93, 95, 97,101,
105,111,116,124,130,138,143,151,157,164,169,173,176,180,182,183,185,184,185,184,184,182,181,179,
179,176,176,173,174,172,173,172,171,171,169,170,169,168,166,165,163,160,159,156,154,150,147,144,
138,136,130,128,124,121,118,115,115,113,114,113,116,117,118,120,122,125,127,128,131,133,135,137,
140,142,145,147,151,154,158,161,163,166,168,169,169,168,166,164,160,157,151,147,142,136,131,125,
122,117,115,112,109,107,105,105,106,106,109,110,114,116,121,125,129,133,136,139,142,145,147,148,
151,151,152,151,152,152,151,152,152,152,153,153,152,154,154,155,156,158,160,160,162,160,160,157,
153,151,145,142,136,133,129,125,121,117,114,109,107,103,101, 99, 96, 92, 90, 85, 83, 78, 75, 70,
 69, 65, 65, 64, 63, 65, 66, 67, 71, 74, 80, 84, 90, 95,101,105,109,111,114,116,118,118,119,119,
119,118,115,112,110,106,105,100, 97, 95, 91, 89, 86, 82, 81, 78, 76, 75, 75, 74, 76, 76, 78, 79,
 82, 84, 86, 88, 88, 91, 91, 92, 92, 93, 93, 93, 93, 93, 94, 94, 95, 97,100,101,105,107,110,114,
116,120,123,126,129,133,135,139,142,147,150,155,158,163,166,169,171,172,174,174,175,174,171,170,
167,163,160,156,150,146,141,138,133,130,128,124,124,122,124,123,126,127,131,133,137,141,144,150,
153,158,160,165,167,171,172,173,174,173,174,172,172,169,168,165,164,162,161,158,158,156,156,153,
152,150,147,146,144,140,139,135,133,129,127,125,122,122,120,119,120,119,121,121,122,122,122,123,
122,123,123,123,123,124,125,125,125,126,127,129,129,131,135,136,141,143,146,151,154,160,163,168,
173,176,180,181,183,182,182,180,179,177,174,169,166,160,156,149,144,137,133,127,124,120,118,116,
116,114,115,116,115,117,118,118,120,120,122,121,122,121,121,120,122,123,123,125,127,127,130,130,
132,134,135,135,136,134,134,132,130,127,124,120,117,114,111,110,107,106,105,103,102,100,100, 98,
 98, 96, 94, 93, 90, 89, 85, 84, 80, 78, 74, 73, 70, 67, 67, 64, 64, 63, 62, 62, 62, 63, 64, 67,
 68, 72, 74, 79, 83, 89, 93,100,106,110,117,121,127,130,133,137,138,139,138,138,135,135,131,129,
127,123,121,118,116,113,109,107,104,102, 99, 98, 95, 94, 93, 91, 91, 92, 91, 94, 94, 98, 99,104,
107,110,115,120,123,129,132,136,139,143,145,148,149,150,153,153,156,156,158,158,161,161,164,164,
167,167,169,172,172,175,175,178,178,178,179,178,179,178,176,173,171,166,162,158,152,148,142,137,
133,127,124,121,117,116,116,114,116,116,119,121,123,124,126,127,129,130,132,134,135,138,140,144,
145,149,151,154,157,159,163,163,166,167,166,166,164,164,162,161,158,156,153,150,146,141,138,134,
131,128,126,124,123,122,122,122,120,121,120,122,123,123,126,126,129,129,131,130,131,132,131,132,
131,132,132,131,133,132,135,136,140,143,146,151,155,158,162,163,166,168,168,169,167,167,164,160,
157,152,148,144,139,136,131,129,125,122,119,115,112,107,105, 99, 97, 92, 89, 85, 81, 79, 75, 74,
 73, 73, 73, 73, 74, 76, 78, 80, 83, 86, 89, 92, 95, 97, 99,101,104,105,108,109,111,110,112,111,
112,111,111,111,110,108,108,105,105,103,100, 99, 97, 96, 94, 95, 93, 94, 92, 93, 93, 93, 93, 91,
 91, 90, 87, 86, 83, 83, 80, 80, 79, 77, 77, 76, 78, 77, 80, 80, 82, 85, 86, 90, 92, 95,100,102,
106,109,114,116,121,125,128,133,135,140,143,147,150,154,155,158,159,161,161,160,161,158,158,155,
154,150,149,147,144,142,139,138,136,133,133,132,132,133,133,135,137,140,142,146,148,152,154,158,
159,163,165,165,167,168,167,167,166,166,165,166,167,166,168,169,170,172,173,173,174,174,174,173,
172,170,167,164,160,156,154,150,148,144,142,138,136,132,130,126,125,122,122,120,121,120,120,120,
119,120,119,121,121,121,123,124,124,126,127,130,130,134,137,139,143,145,150,153,155,159,163,165,
169,172,173,176,177,175,176,173,172,168,164,162,157,154,150,148,144,142,138,137,134,134,132,133,
132,133,131,131,130,127,127,123,122,120,117,116,113,113,112,112,113,114,115,115,119,119,123,123,
126,127,128,130,129,130,130,128,129,127,128,126,127,125,125,123,122,119,118,115,113,109,107,104,
100, 98, 95, 92, 89, 85, 82, 79, 77, 75, 73, 71, 69, 66, 65, 64, 61, 62, 60, 60, 60, 60, 62, 64,
 65, 69, 71, 76, 79, 84, 86, 91, 94, 99,101,105,107,109,111,111,113,113,114,113,114,114,113,114,
114,113,111,111,109,109,108,105,104,103, 99, 99, 95, 95, 92, 91, 90, 90, 89, 91, 91, 94, 96, 98,
100,104,107,109,112,116,119,123,127,130,135,138,140,144,146,151,154,156,160,163,165,167,170,171,
174,176,178,181,182,185,187,188,189,188,188,187,184,183,179,176,171,167,163,156,153,148,145,141,
141,139,138,137,135,135,133,133,131,132,132,132,132,131,132,131,131,130,132,131,133,133,136,137,
138,141,144,145,149,150,154,155,158,160,162,163,164,164,164,163,163,161,161,159,156,154,150,147,
143,140,136,134,131,130,127,127,126,124,125,123,124,123,123,124,123,124,123,123,123,121,122,121,
123,124,124,128,129,134,137,142,147,151,155,158,162,164,166,168,169,168,168,165,165,161,159,157,
154,152,150,147,145,143,141,137,136,132,130,125,123,118,115,112,107,105,100, 98, 95, 93, 90, 89,
 86, 85, 84, 82, 82, 80, 80, 80, 78, 79, 78, 80, 80, 82, 83, 86, 89, 90, 93, 95, 98,100,100,103,
103,103,104,103,104,103,103,102,102,101,101,100,100, 98, 98, 96, 96, 94, 94, 91, 90, 87, 86, 83,
 82, 80, 78, 76, 76, 74, 74, 74, 72, 74, 74, 76, 77, 80, 82, 84, 85, 89, 89, 93, 94, 97,100,102,
106,109,111,114,117,121,123,127,130,134,137,141,145,146,150,151,154,155,157,159,160,161,161,159,
159,157,156,154,153,150,149,146,145,142,141,140,138,139,139,140,142,143,145,147,149,150,151,151,
151,152,151,153,153,155,155,158,159,160,163,165,168,170,173,175,178,180,180,182,181,182,181,181,
178,176,172,170,166,162,157,154,149,146,143,139,137,133,131,129,127,124,124,124,122,123,122,123,
124,124,126,125,127,126,127,126,127,127,128,127,129,129,131,132,135,137,140,143,146,151,154,158,
160,163,165,167,167,168,166,166,165,163,162,160,159,157,156,155,153,153,151,151,149,149,148,145,
144,141,137,134,130,127,122,119,115,112,109,108,105,105,104,105,106,107,109,110,112,114,115,116,
118,119,121,122,122,124,125,125,127,126,128,126,127,126,123,122,119,117,113,111,108,105,103, 99,
 98, 95, 94, 92, 91, 89, 86, 85, 82, 82, 79, 78, 74, 74, 70, 70, 68, 67, 67, 66, 68, 68, 68, 70,
 72, 73, 76, 77, 81, 84, 87, 89, 92, 93, 96, 98, 99,102,104,107,110,112,115,116,118,119,121,121,
123,124,123,124,122,121,119,117,113,111,108,106,104,102,100, 96, 95, 92, 92, 90, 91, 90, 92, 93,
 93, 97, 98,102,105,109,111,117,120,126,129,134,137,140,143,145,146,149,151,154,157,159,164,166,
169,173,176,179,181,183,184,185,185,185,183,182,181,179,176,173,172,168,166,164,160,159,156,155,
153,153,151,151,150,149,147,146,144,143,141,139,137,136,135,132,133,131,131,131,130,132,132,133,
135,136,139,143,144,149,151,156,159,162,166,167,171,173,173,174,174,172,171,168,163,161,156,153,
149,146,143,140,139,137,136,135,133,133,132,132,130,129,126,126,123,123,120,120,118,118,119,119,
121,122,125,127,131,133,137,139,141,144,146,148,148,150,151,149,150,149,148,148,146,146,145,145,
143,144,142,142,140,140,138,137,133,132,128,126,124,120,119,114,113,109,107,102,100, 97, 93, 91,
 87, 85, 81, 80, 77, 74, 74, 72, 73, 73, 75, 78, 78, 82, 83, 88, 89, 94, 95, 99,101,105,106,109,
109,111,112,111,112,111,112,112,111,112,112,110,110,107,107,105,104,101,101, 98, 97, 94, 91, 90,
 86, 86, 83, 84, 83, 82, 83, 84, 84, 83, 84, 84, 86, 86, 88, 88, 89, 89, 90, 90, 91, 91, 93, 93,
 96, 98, 99,103,104,108,109,113,114,119,121,127,130,136,141,144,150,153,157,159,162,162,164,162,
162,159,158,155,152,151,148,147,145,144,143,141,141,139,140,139,138,139,138,139,140,139,140,140,
141,141,142,143,145,146,149,152,153,158,160,164,168,169,174,175,179,179,182,182,181,181,180,179,
176,174,170,168,164,162,159,155,153,149,147,144,142,139,138,136,136,135,135,134,135,134,135,133,
133,133,131,130,127,126,122,120,119,116,115,114,113,115,115,118,119,124,126,131,135,137,142,144,
147,149,152,153,155,155,156,157,157,158,158,159,159,158,159,158,158,156,156,154,151,149,144,141,
137,132,128,124,119,117,113,112,109,108,106,107,106,105,107,107,108,109,111,111,114,114,117,118,
121,121,125,125,128,128,130,130,129,129,127,126,125,124,122,120,117,116,112,111,110,108,108,107,
106,107,105,105,102,102, 98, 97, 95, 91, 90, 86, 84, 80, 78, 75, 73, 71, 70, 68, 69, 67, 68, 67,
 69, 69, 69, 71, 72, 73, 76, 78, 81, 84, 87, 90, 93, 96,100,104,109,112,117,121,124,125,128,129,
130,129,130,129,128,126,124,121,119,115,114,110,106,104,100, 98, 94, 93, 90, 89, 89, 89, 92, 94,
 97,100,105,108,112,114,119,121,124,125,129,130,132,133,136,137,141,142,146,147,151,153,158,161,
164,167,170,173,175,177,178,178,179,178,179,178,178,178,176,177,175,175,173,173,171,170,169,168,
167,165,163,159,158,154,152,148,146,142,140,136,134,132,128,127,124,124,121,122,120,122,122,125,
126,130,133,136,141,145,151,155,160,163,166,167,170,170,171,169,167,166,162,160,157,154,150,149,
145,145,143,141,140,138,138,136,135,134,132,132,130,128,127,124,124,122,122,121,123,122,125,125,
127,130,131,133,134,135,137,138,140,141,142,142,143,142,143,143,144,145,146,146,148,148,150,151,
151,150,151,150,152,150,151,149,149,147,144,142,138,136,132,129,126,120,117,110,106,102, 97, 91,
 88, 83, 81, 78, 75, 75, 73, 74, 73, 76, 76, 80, 82, 85, 88, 91, 92, 95, 97, 98,100,101,104,104,
106,106,106,108,107,108,108,107,108,108,107,107,105,105,103,103,101, 99, 98, 97, 95, 95, 93, 94,
 92, 93, 92, 93, 92, 93, 92, 93, 91, 92, 90, 90, 90, 89, 88, 88, 87, 87, 86, 86, 85, 85, 84, 85,
 84, 86, 88, 90, 92, 95, 99,103,109,114,120,126,131,137,142,147,152,154,159,159,162,161,163,160,
160,158,157,155,152,151,149,147,146,143,143,140,140,139,137,137,135,136,134,135,133,134,133,133,
135,135,137,138,140,143,144,147,149,151,155,156,159,159,162,164,164,166,167,167,167,167,165,166,
164,162,161,158,157,154,153,150,149,147,146,145,145,144,144,145,145,146,146,145,146,143,143,140,
138,134,132,128,126,123,119,118,115,115,115,115,117,119,120,124,127,130,134,136,140,143,145,149,
150,154,155,158,160,161,163,165,166,168,169,171,171,171,171,169,167,165,161,159,154,152,148,145,
140,137,132,130,125,124,121,119,118,116,116,114,114,113,114,114,114,115,115,116,116,117,117,119,
119,120,121,120,121,120,121,121,119,120,118,118,116,117,117,116,118,117,119,119,120,120,122,121,
122,121,120,119,116,115,113,108,106,102,100, 95, 93, 90, 86, 84, 81, 78, 76, 73, 72, 70, 70, 69,
 68, 68, 67, 70, 70, 73, 75, 79, 83, 86, 91, 95, 98,103,106,111,113,117,119,121,124,125,128,128,
130,129,130,128,127,126,123,121,118,114,112,108,106,104,101,100, 98, 99, 99,100,101,103,105,107,
109,110,112,113,115,115,115,117,116,117,117,118,118,118,120,120,122,123,127,128,132,134,138,142,
145,148,151,153,157,158,161,162,165,166,168,169,170,169,170,169,169,169,167,166,164,163,160,158,
156,153,151,147,145,141,140,137,134,131,129,127,123,122,119,119,117,116,117,117,120,121,125,127,
131,135,137,142,145,149,152,156,158,159,159,160,158,159,157,157,155,155,153,153,151,152,150,151,
150,151,150,151,151,150,150,148,147,144,143,141,138,138,136,135,135,132,133,131,132,131,130,131,
130,131,130,131,129,131,130,130,131,132,133,135,135,138,138,141,142,145,147,150,151,154,155,157,
158,159,160,159,160,159,159,157,156,153,152,148,146,142,139,135,130,125,121,116,112,107,104,100,
 97, 94, 93, 90, 90, 89, 90, 90, 92, 92, 94, 94, 96, 96, 98, 97, 99, 99,100, 99,101,102,102,103,
104,105,105,106,107,107,107,108,107,107,106,107,107,108,109,109,110,110,111,110,111,109,109,107,
108,106,106,104,104,102,101,100, 98, 97, 95, 94, 91, 91, 88, 88, 85, 84, 81, 81, 78, 78, 78, 77,
 79, 80, 83, 85, 89, 94, 98,103,108,112,118,122,127,131,135,137,140,141,143,143,144,143,144,143,
141,141,140,139,139,138,138,137,137,136,136,135,133,134,132,132,131,130,131,129,130,130,130,131,
132,132,133,134,134,136,135,137,137,139,140,143,144,147,147,150,151,152,154,155,155,157,157,158,
158,158,158,158,157,158,158,156,158,157,158,158,156,157,155,155,153,152,149,148,145,143,138,135,
130,128,124,122,119,118,116,117,116,118,117,120,120,123,125,128,130,132,134,135,136,139,140,143,
144,147,149,152,154,155,157,158,160,160,162,162,163,162,162,161,161,159,158,156,154,154,151,151,
148,147,146,143,142,139,137,135,132,131,128,127,126,124,122,122,121,121,120,119,119,119,118,119,
117,118,118,117,117,116,117,117,118,119,120,121,122,124,125,128,129,131,132,134,134,136,135,135,
133,132,130,127,126,124,120,119,115,113,109,107,104,100, 97, 93, 91, 87, 86, 84, 81, 81, 80, 80,
 80, 79, 80, 80, 82, 83, 84, 85, 87, 88, 91, 92, 95, 96, 99,101,104,106,109,112,113,116,117,117,
118,118,118,117,117,116,113,113,112,109,109,108,106,107,105,106,106,105,107,106,107,107,108,107,
108,107,107,106,106,106,104,105,105,104,105,106,105,108,110,111,115,117,121,123,127,129,133,135,
139,141,145,147,151,153,157,158,161,161,164,163,165,165,165,164,164,162,162,160,158,158,155,155,
152,152,150,149,146,145,142,140,138,136,134,133,130,130,127,127,125,125,124,126,125,128,128,131,
133,134,136,137,139,141,141,143,143,144,145,144,145,146,146,147,148,150,151,153,155,155,158,157,
159,158,159,159,158,157,156,154,152,149,147,144,141,139,136,135,132,132,129,129,128,127,127,126,
125,126,126,126,127,128,128,131,131,134,135,136,138,139,141,142,144,144,146,146,147,148,149,148,
150,150,151,151,150,150,150,150,149,148,146,145,142,141,137,136,132,130,127,125,121,120,118,116,
115,113,112,110,109,107,106,104,101,101, 99, 97, 97, 95, 95, 94, 95, 94, 95, 96, 95, 97, 96, 98,
 99, 99,101,102,103,105,106,108,110,110,112,113,114,115,115,116,115,116,114,114,112,112,109,109,
107,107,105,105,103,101,101, 99, 98, 96, 96, 94, 94, 93, 91, 91, 88, 88, 87, 85, 86, 85, 86, 86,
 89, 90, 91, 94, 97, 98,102,104,109,112,114,118,120,123,125,126,128,129,131,132,134,136,136,138,
138,140,141,142,141,143,142,142,143,142,141,141,139,139,137,137,137,136,134,134,132,131,130,128,
128,127,125,126,125,127,127,127,130,130,133,135,138,141,143,146,147,150,151,152,154,153,155,154,
155,156,156,156,156,156,156,157,157,158,157,158,158,157,156,155,151,150,148,145,141,140,137,136,
134,131,131,130,129,129,129,129,129,130,129,130,131,130,131,131,131,132,132,132,132,134,133,135,
135,137,138,140,142,144,145,148,149,151,152,155,157,158,159,160,160,162,161,162,161,161,160,159,
156,155,151,150,146,144,140,138,135,131,130,126,125,123,120,120,118,118,116,116,115,114,114,113,
112,112,112,113,113,114,115,117,117,118,121,120,123,123,124,124,125,125,125,125,124,125,123,124,
122,122,120,120,118,118,115,114,111,111,108,107,104,103,101,100, 99, 97, 97, 95, 96, 94, 94, 92,
 92, 91, 91, 91, 89, 90, 89, 90, 90, 91, 91, 92, 94, 95, 98,101,103,106,109,110,113,114,117,118,
120,120,122,122,122,121,122,120,120,119,118,118,117,116,117,115,115,114,114,112,112,111,111,109,
109,107,107,106,104,104,105,104,106,105,107,107,110,111,112,115,116,119,121,124,125,129,131,132,
135,135,138,139,141,142,144,145,146,147,147,148,148,148,149,149,151,151,151,153,153,153,155,154,
155,155,155,153,153,152,149,148,145,143,139,138,135,134,131,131,129,130,129,129,130,130,129,131,
131,132,133,133,134,134,136,136,138,138,140,141,144,145,148,150,152,153,156,156,159,159,159,161,
160,161,159,159,157,157,155,152,151,149,148,146,144,143,141,141,138,137,137,135,136,136,134,135,
134,135,135,136,136,136,137,138,137,138,137,138,137,137,135,136,134,135,133,134,134,134,135,135,
136,137,137,138,138,139,139,138,139,138,138,137,136,134,134,132,131,128,128,126,123,122,119,118,
116,115,112,110,110,107,106,104,103,102,102,100,100, 99, 99, 98, 98, 98, 97, 99, 98,100,100,101,
103,104,105,106,108,108,111,111,114,115,116,116,116,116,115,116,114,115,113,114,112,111,111,110,
110,109,110,110,111,110,111,110,110,108,108,107,106,103,102,100, 99, 97, 94, 94, 92, 93, 92, 93,
 94, 94, 96, 96, 98, 99,101,101,103,105,106,109,110,113,114,117,119,122,123,126,128,131,132,135,
136,138,139,139,141,141,140,141,140,141,139,139,139,137,137,134,134,131,130,128,127,126,123,123,
121,121,120,122,121,124,125,127,130,131,135,136,138,140,141,143,143,145,144,146,145,147,146,147,
147,148,150,149,152,152,154,155,155,156,156,156,156,156,155,154,154,152,152,151,149,147,147,145,
144,144,142,142,141,140,138,138,136,136,135,135,133,134,133,132,132,131,131,130,131,132,131,133,
133,136,136,139,140,142,143,146,147,149,151,153,154,157,157,159,159,160,159,160,158,157,154,153,
150,147,145,141,140,138,136,133,132,130,130,127,127,125,126,124,124,124,123,122,121,120,120,118,
119,118,118,117,118,116,117,115,115,116,115,116,117,117,117,119,118,120,119,121,120,122,121,123,
122,123,122,122,120,121,119,119,118,116,117,115,115,112,112,110,109,108,105,105,103,100, 99, 97,
 96, 93, 92, 90, 90, 89, 89, 89, 89, 90, 91, 93, 94, 97, 99,103,106,108,111,113,115,117,118,119,
118,119,119,120,120,119,118,119,118,119,118,117,118,117,117,116,116,116,114,114,113,113,113,111,
112,111,112,112,112,113,112,114,114,114,115,116,116,117,118,119,119,119,121,121,123,123,125,126,
126,128,128,130,130,130,131,132,132,133,135,135,138,139,140,143,145,147,150,150,154,154,156,156,
157,156,155,154,153,150,149,146,144,142,140,137,136,133,133,131,131,129,130,130,129,130,130,129,
130,130,129,131,130,132,131,133,133,135,135,137,137,139,140,142,144,144,146,146,148,148,149,149,
148,149,147,148,146,147,145,145,145,144,144,144,142,143,142,140,141,140,140,140,140,141,141,142,
141,142,141,141,141,139,139,137,137,135,134,132,132,130,130,129,130,130,130,132,132,134,136,137,
138,139,140,141,142,143,144,143,144,142,143,141,140,139,137,136,135,132,131,129,127,124,122,120,
117,116,113,113,111,109,109,107,107,106,104,105,104,104,103,104,103,104,104,103,105,105,107,106,
108,108,110,110,112,112,113,114,113,115,114,114,113,114,114,113,113,113,114,115,115,117,117,119,
121,121,123,123,125,124,125,123,123,121,120,118,117,114,113,110,109,106,106,104,103,102,100,100,
 99,100, 98,100, 99,101,102,104,105,107,110,111,114,116,118,121,122,125,127,128,130,131,133,133,
135,135,136,138,137,139,138,140,139,138,138,137,136,135,133,132,129,129,127,124,124,122,122,122,
122,123,123,125,126,128,128,130,130,132,133,133,134,134,135,133,134,134,132,134,134,134,135,134,
136,136,139,139,141,142,144,144,146,147,148,148,149,149,150,148,149,147,148,147,145,145,144,142,
143,142,141,139,139,136,136,134,133,131,131,130,129,129,128,129,128,128,129,128,130,129,132,132,
134,135,136,139,140,142,144,146,148,150,152,153,155,155,156,157,156,155,153,153,151,151,149,146,
146,143,142,140,139,137,137,136,134,134,132,132,131,130,130,129,127,128,126,126,124,124,123,121,
121,119,118,117,116,115,115,114,113,113,112,113,113,114,116,115,118,118,120,120,123,122,125,124,
126,126,127,127,127,128,126,127,126,126,125,124,124,122,122,120,117,117,113,113,110,107,104,103,
100,100, 97, 97, 96, 96, 96, 98, 98, 99,102,103,107,108,111,112,114,115,117,118,118,120,119,121,
121,121,120,121,119,120,120,119,119,118,119,119,118,119,118,120,120,120,120,121,120,122,121,122,
121,122,121,121,120,120,120,118,118,117,117,116,116,116,115,116,115,116,115,117,116,117,116,117,
116,118,118,117,119,119,121,122,122,125,126,128,131,132,135,136,139,140,143,143,145,144,145,145,
143,143,141,141,139,136,136,133,133,130,130,128,129,127,128,127,128,128,128,129,128,129,128,130,
128,129,128,130,129,131,130,132,132,133,134,134,135,134,136,136,138,137,139,139,140,141,141,142,
143,144,144,146,146,147,146,147,147,145,146,144,145,145,144,145,144,144,144,143,143,143,142,142,
140,140,138,137,136,134,133,131,131,129,129,128,128,127,129,129,128,130,130,132,132,134,135,137,
137,139,139,141,141,143,142,143,142,143,142,140,140,138,138,136,134,133,130,130,128,127,126,124,
124,122,123,122,121,121,120,121,119,119,117,118,116,117,115,116,115,115,115,115,114,115,115,115,
116,115,116,115,116,115,115,114,114,113,114,113,113,114,114,115,118,118,121,121,123,126,127,129,
130,132,133,132,133,132,132,131,129,128,126,124,122,120,118,115,114,112,110,107,106,105,104,103,
103,101,102,102,104,103,106,106,108,110,111,114,116,116,118,118,120,121,122,122,123,123,124,124,
125,125,126,126,127,126,127,127,125,126,124,124,123,122,122,120,121,119,120,119,120,120,122,121,
123,124,124,126,127,128,127,129,127,129,128,127,127,126,126,124,125,123,124,124,124,125,126,128,
128,130,131,133,134,136,137,139,140,140,142,144,143,145,145,144,145,144,145,144,142,143,140,140,
138,136,135,133,133,131,131,129,130,129,129,128,127,128,127,128,128,127,129,128,130,129,131,131,
133,133,136,136,139,139,142,143,144,145,146,146,147,147,148,148,147,146,147,145,146,145,144,145,
145,143,144,142,142,141,142,141,140,140,139,140,139,137,137,136,135,133,133,131,130,127,126,125,
123,120,119,117,117,115,115,113,115,114,116,115,117,117,120,119,122,122,125,125,127,127,129,130,
129,131,131,132,132,133,132,134,132,133,131,132,130,130,127,127,124,123,120,119,118,115,115,112,
112,110,111,109,111,111,111,112,112,114,116,116,118,118,120,120,121,122,121,123,122,122,122,122,
122,121,122,121,121,120,120,120,119,119,118,119,119,120,120,121,121,122,122,123,124,123,124,123,
124,122,122,121,120,118,118,116,115,116,114,114,113,114,112,114,113,114,114,113,114,113,114,113,
114,113,115,115,117,118,118,120,121,124,125,127,128,131,132,135,135,137,137,138,136,137,135,136,
135,133,134,131,132,130,131,130,130,128,129,128,129,129,128,129,128,129,128,129,130,130,129,130,
129,131,129,130,128,130,128,128,127,127,126,127,126,127,128,127,130,130,132,133,134,136,137,137,
140,139,141,141,143,142,144,143,144,145,145,145,146,146,145,147,145,146,145,145,143,144,142,141,
141,140,138,138,136,136,134,135,133,133,132,133,132,131,133,132,133,133,133,133,134,135,134,136,
136,136,138,137,138,138,137,137,137,136,134,135,134,133,132,131,131,130,130,128,129,127,129,128,
128,129,128,127,128,127,127,125,126,125,123,124,122,122,120,121,119,120,120,119,119,118,119,118,
118,118,117,117,116,116,116,116,115,116,116,117,117,118,119,120,122,122,125,125,127,129,130,130,
130,132,131,132,131,132,132,131,131,129,129,127,126,124,124,121,120,118,117,115,115,114,112,113,
112,113,112,113,114,114,114,116,115,117,116,117,117,116,116,116,116,116,117,117,118,119,119,120,
120,122,122,123,122,123,123,124,124,122,123,121,122,121,120,120,119,119,118,119,119,119,118,119,
119,118,119,118,118,119,117,118,116,116,115,115,114,115,114,115,115,115,117,117,118,119,120,122,
124,125,126,128,129,132,133,135,137,137,139,140,141,141,142,141,141,140,140,139,139,138,138,136,
137,135,136,135,134,135,134,134,133,134,133,133,132,133,132,133,132,133,132,134,134,134,135,135,
135,137,136,138,137,139,139,141,141,143,143,143,144,144,146,145,147,146,147,146,147,147,147,146,
147,146,147,146,147,146,145,146,145,144,144,142,142,141,140,139,137,136,133,133,130,128,126,125,
122,121,119,119,117,117,117,117,117,118,119,118,121,120,121,123,122,124,123,125,125,125,125,125,
126,126,127,127,128,128,127,128,128,129,128,128,127,127,127,126,125,124,123,122,121,120,119,118,
118,118,117,118,117,118,117,118,118,117,118,117,119,119,118,120,120,120,121,121,122,122,121,122,
121,122,121,121,121,121,120,121,120,121,121,123,124,123,125,125,126,125,126,126,125,126,124,124,
122,122,119,120,117,118,117,115,115,114,115,115,113,114,113,112,113,111,112,110,111,109,110,109,
110,108,109,110,110,111,111,113,115,116,117,118,118,120,120,122,122,124,124,124,125,124,126,125,
128,127,128,128,129,128,130,129,130,129,131,130,131,131,132,131,132,131,132,132,131,132,131,131,
131,130,130,128,128,127,127,126,125,126,126,127,128,127,129,129,131,131,134,134,136,138,138,140,
140,142,142,144,144,146,146,147,147,148,148,149,149,148,149,150,148,149,149,149,148,149,147,148,
147,145,145,144,144,143,141,142,140,140,139,138,138,137,137,137,135,136,136,135,136,136,136,137,
135,136,135,136,135,134,134,133,133,132,130,130,129,129,129,128,129,129,129,130,129,130,130,131,
131,129,130,129,127,128,126,126,124,124,122,123,121,122,120,121,120,119,120,119,120,119,120,119,
120,119,120,118,120,119,120,119,121,120,122,122,122,123,123,124,124,126,126,127,128,128,129,129,
130,130,132,131,133,132,133,131,131,131,129,129,127,126,125,124,122,122,120,120,119,119,118,118,
117,118,116,116,116,115,115,113,114,112,113,112,112,111,112,112,111,113,113,114,114,116,116,118,
118,120,120,122,121,123,122,123,122,123,121,122,120,121,120,120,119,120,118,119,117,118,117,116,
117,115,116,115,116,115,116,115,115,115,115,115,115,115,116,116,117,117,118,118,119,120,120,121,
123,124,125,126,127,129,129,131,130,132,132,133,133,134,134,133,135,135,135,135,136,135,136,136,
138,137,138,138,139,138,139,139,138,139,139,138,138,137,136,136,135,135,133,134,134,134,132,134,
134,133,135,135,137,136,138,139,140,142,142,144,145,145,146,146,147,146,147,146,147,147,145,146,
144,145,144,144,142,143,141,141,139,140,138,138,136,136,135,133,132,131,129,128,126,126,124,124,
123,123,123,121,122,121,123,122,122,123,123,122,123,122,123,123,121,122,121,122,122,121,123,122,
124,123,125,125,125,127,127,128,128,129,129,130,130,129,130,129,130,129,129,128,128,128,126,126,
124,124,123,121,121,121,119,120,118,119,120,119,120,120,121,120,122,121,123,122,124,124,124,123,
124,124,125,125,124,126,125,126,126,127,127,128,127,128,128,127,128,127,127,126,126,124,124,124,
121,122,120,120,119,119,118,119,119,118,119,118,119,117,118,117,115,116,114,115,113,113,111,112,
110,111,110,109,110,110,110,111,111,113,113,113,115,116,116,118,118,120,122,122,124,124,126,126,
127,128,128,127,129,128,129,129,129,130,130,129,130,130,129,130,129,130,128,129,128,128,127,127,
125,125,124,125,123,124,124,125,126,126,127,128,128,130,130,132,133,133,134,134,136,137,137,136,
138,138,139,139,140,139,140,141,140,141,141,142,141,143,142,144,143,145,144,145,146,145,146,145,
146,145,144,144,142,143,140,141,139,138,137,136,136,134,134,134,133,134,133,134,133,135,134,135,
134,134,134,133,134,133,134,133,132,133,133,132,133,132,133,132,132,133,132,132,131,131,129,129,
128,126,126,125,123,123,123,122,122,121,120,121,120,121,120,121,121,120,121,121,121,122,122,122,
121,122,121,123,121,123,122,122,121,122,121,122,120,121,120,122,121,123,124,125,125,127,128,130,
130,132,133,133,134,135,134,135,134,135,133,134,132,133,131,131,129,129,127,128,126,126,124,124,
122,123,122,120,119,117,117,115,115,113,114,113,113,112,114,113,115,114,115,117,117,119,118,120,
119,121,120,121,120,121,119,120,118,119,117,118,117,116,117,115,116,115,114,115,114,115,114,115,
114,116,115,116,116,117,116,117,116,117,117,118,117,118,117,118,117,118,118,119,118,119,120,120,
121,121,123,123,123,125,124,126,126,127,127,129,128,130,131,130,132,131,133,133,135,136,135,137,
137,138,137,137,137,136,137,136,136,136,134,135,133,134,133,132,132,132,130,131,130,132,132,132,
132,134,134,136,137,138,140,140,142,144,145,145,146,145,146,145,145,144,145,144,144,142,143,141,
142,141,141,140,141,140,141,141,140,141,140,140,138,138,138,136,136,134,134,134,132,132,130,130,
129,127,127,126,125,125,122,122,121,119,119,117,118,117,116,116,116,115,117,116,118,117,120,120,
122,123,124,126,126,128,129,131,132,131,133,133,134,134,133,134,132,132,131,130,128,127,125,125,
123,123,121,122,121,121,122,121,123,123,123,125,125,126,127,127,128,128,129,129,129,129,128,129,
128,129,128,128,128,128,129,129,128,129,128,128,127,128,127,127,127,126,125,125,124,125,124,125,
124,125,125,125,124,125,124,125,124,124,122,123,120,120,119,117,116,116,114,113,112,111,110,109,
109,108,108,108,107,108,107,109,110,109,112,112,114,115,116,118,118,120,120,121,122,121,123,122,
123,123,123,123,123,124,124,123,124,123,125,124,126,125,126,125,127,127,126,127,127,127,128,128,
127,129,128,129,129,130,130,130,131,131,131,131,130,132,131,132,132,131,132,131,132,131,132,132,
133,133,132,133,133,134,135,135,136,137,137,139,139,141,142,144,145,145,147,147,148,148,147,147,
146,145,144,142,141,140,137,137,135,135,133,133,131,131,130,130,131,129,131,130,130,131,130,131,
130,131,130,132,132,131,132,132,133,133,132,133,131,132,131,131,131,129,130,129,127,127,125,125,
125,123,123,121,123,121,122,121,122,122,121,122,123,122,124,123,124,125,124,125,125,126,126,125,
125,124,125,123,123,122,122,120,120,120,119,120,120,121,122,122,122,124,125,127,128,130,131,134,
135,136,138,138,139,139,140,139,140,139,139,137,137,136,136,134,134,133,133,132,131,130,128,128,
126,125,125,123,123,122,121,122,120,120,121,121,122,121,122,121,122,122,122,123,122,121,122,120,
121,120,118,119,118,116,117,116,115,115,114,114,112,112,111,112,111,112,112,113,112,114,113,115,
114,116,116,117,115,116,115,116,115,115,113,113,112,113,112,112,112,111,113,112,114,114,115,116,
116,118,119,119,122,122,124,124,127,127,129,129,131,131,132,133,133,135,134,136,136,135,136,135,
136,136,136,134,135,134,135,134,133,133,132,132,131,131,130,131,130,131,131,131,131,131,131,133,
133,135,135,137,137,139,139,140,141,142,140,142,142,141,141,140,140,140,139,139,139,139,138,139,
140,140,141,140,142,141,142,141,141,142,141,142,140,141,139,140,138,139,138,136,136,134,134,132,
132,130,129,128,126,125,123,122,120,120,119,117,118,117,116,117,117,118,118,119,119,120,121,122,
124,124,126,126,128,129,130,130,132,132,131,132,131,132,131,130,130,128,128,126,126,124,125,123,
124,123,124,124,124,125,126,127,128,130,131,132,132,133,133,135,133,135,135,135,134,135,134,134,
133,134,132,133,132,132,131,132,131,130,131,129,130,130,129,130,129,129,130,130,130,130,130,130,
129,131,129,130,128,129,126,127,125,125,124,122,121,119,119,117,115,114,112,111,109,109,107,107,
107,105,106,106,105,106,106,107,108,108,110,110,112,113,112,114,112,114,113,114,113,114,114,113,
114,113,114,114,113,114,113,114,114,115,116,115,117,117,119,118,120,119,121,121,122,122,123,124,
124,125,125,125,124,126,125,126,125,126,126,125,126,126,126,127,126,128,128,128,129,130,129,131,
130,132,131,133,134,134,135,136,136,138,138,141,141,143,143,145,146,146,147,148,147,148,147,147,
145,145,144,143,142,140,140,138,139,137,138,138,136,137,137,136,137,135,136,136,135,136,135,136,
135,136,135,136,135,136,136,135,136,135,135,134,134,133,133,132,132,130,131,129,130,129,129,129,
128,128,127,127,126,127,127,126,127,126,127,127,128,128,127,128,127,128,128,128,129,128,128,127,
128,127,126,126,124,124,124,123,124,122,124,123,123,125,125,127,127,129,131,131,134,135,135,137,
136,138,137,139,138,139,138,139,137,138,137,136,136,136,135,135,133,134,132,132,131,131,131,129,
130,128,129,128,127,128,127,128,127,126,127,127,125,126,125,126,124,125,123,124,123,121,121,120,
120,119,117,118,116,116,114,114,113,112,111,111,111,111,111,112,112,111,112,113,112,113,112,113,
111,112,111,110,110,109,109,107,107,105,105,104,103,103,103,103,102,103,103,103,103,105,105,106,
108,108,110,111,111,114,114,116,118,118,120,121,122,122,124,125,124,126,125,127,126,128,127,128,
128,129,129,130,129,131,131,131,131,132,131,132,132,131,132,131,132,131,132,132,133,133,134,134,
136,136,137,137,138,138,139,138,139,138,139,138,139,139,139,140,139,140,140,140,141,141,143,142,
144,144,145,144,145,144,145,144,144,143,144,142,142,141,141,141,138,139,136,136,134,134,132,132,
132,130,130,128,129,127,128,126,127,125,126,125,126,124,125,124,125,124,125,124,125,126,125,126,
126,128,128,128,129,128,130,130,130,131,131,130,130,129,130,129,128,128,127,127,126,127,128,127,
129,128,130,130,132,132,132,134,133,135,134,136,136,135,135,135,134,135,133,134,134,133,134,132,
133,132,133,132,134,133,134,133,135,134,136,135,137,136,137,138,138,137,138,137,138,137,137,136,
135,134,133,131,130,129,127,125,124,121,121,119,116,116,114,113,112,112,110,110,109,110,110,110,
110,109,110,110,109,110,108,109,106,106,104,104,102,100,100, 98, 98, 96, 96, 95, 96, 95, 97, 98,
 99,101,104,105,109,111,113,116,119,122,124,127,128,131,131,132,131,131,129,128,125,123,119,117,
114,110,108,104,103,100,100, 99, 98, 99,101,101,105,106,111,114,117,122,125,130,133,138,140,143,
145,148,148,150,150,151,150,148,147,146,143,142,139,138,135,134,133,131,131,130,129,130,130,132,
134,135,139,140,144,147,149,153,156,157,160,161,163,163,163,162,160,157,155,152,148,143,139,134,
131,126,123,118,117,115,112,112,110,112,113,113,117,118,123,125,130,132,136,139,143,145,148,151,
152,154,153,154,152,151,149,146,143,139,136,132,129,125,123,119,118,115,113,112,112,111,112,113,
114,116,118,120,122,125,127,130,132,136,138,141,142,144,145,144,144,143,142,141,139,137,135,133,
131,129,128,127,126,125,125,125,126,127,128,131,132,136,137,141,142,145,147,148,150,151,151,152,
150,150,148,144,142,139,134,131,126,123,118,115,112,109,106,103,102,100, 99,100, 99,101,102,103,
106,108,110,113,114,118,119,123,124,127,127,127,128,127,127,126,123,123,119,117,114,112,109,107,
105,102,101, 98, 98, 97, 98, 97, 98, 98,101,101,104,104,108,109,110,113,114,116,117,118,118,118,
117,117,115,115,112,111,108,107,105,104,101,101, 99,100,100,100,102,103,106,107,112,115,119,123,
127,130,133,137,140,144,146,147,149,149,149,147,147,144,143,140,137,133,131,127,126,124,121,120,
118,118,117,117,118,118,120,121,125,127,130,134,136,140,143,147,150,152,156,157,160,160,161,161,
159,158,155,153,150,147,144,140,138,134,132,128,127,126,124,124,125,125,125,127,128,131,132,135,
137,139,142,143,147,147,150,149,150,149,149,148,144,143,139,137,132,130,126,122,120,116,115,114,
112,112,112,113,115,116,119,122,124,127,129,133,135,139,141,145,147,148,151,152,152,153,151,151,
148,146,142,140,137,133,130,127,123,122,118,116,116,114,115,114,116,117,120,121,124,126,130,132,
135,139,141,145,146,149,151,151,152,151,149,149,145,144,140,138,134,132,127,125,122,120,117,117,
115,115,114,116,115,117,117,119,121,121,124,124,127,128,127,129,128,129,128,128,126,123,122,120,
117,113,111,107,105,102, 98, 97, 93, 92, 91, 90, 88, 89, 89, 89, 92, 92, 95, 97, 99,103,105,109,
111,114,118,119,122,123,125,126,126,126,124,125,123,122,120,118,117,114,113,111,109,107,106,105,
106,106,105,107,107,109,110,113,115,116,120,121,124,126,129,130,132,133,132,133,131,131,130,128,
127,125,124,122,122,120,121,120,121,121,122,124,125,129,131,134,137,141,143,148,151,155,158,162,
164,167,167,169,168,168,165,164,161,160,157,154,150,147,142,140,136,134,129,128,125,124,123,122,
123,122,123,123,125,126,128,130,130,133,134,137,138,140,141,141,141,139,139,136,136,133,132,129,
127,125,123,120,120,118,117,115,116,115,117,116,118,119,119,120,120,122,122,123,123,125,125,127,
126,127,125,125,123,123,121,120,118,117,114,114,112,109,109,106,106,106,107,108,110,112,115,118,
122,126,129,134,137,142,145,149,153,154,158,159,162,162,161,161,158,157,153,151,147,144,140,136,
133,129,127,123,122,120,117,117,115,116,115,116,115,117,118,118,120,120,122,123,126,127,129,130,
131,132,132,131,132,130,131,129,129,129,126,125,121,119,117,113,112,109,109,108,108,109,109,111,
113,116,119,121,125,126,130,132,132,133,133,133,130,129,125,122,117,114,109,106,101, 99, 96, 92,
 91, 88, 88, 86, 87, 87, 89, 91, 93, 96, 99,100,104,106,109,112,114,118,121,126,130,133,136,138,
142,143,145,147,146,147,145,145,142,141,137,135,132,128,127,124,123,122,121,122,122,124,125,126,
128,129,132,135,137,139,142,143,147,149,149,151,151,152,150,150,147,146,144,141,138,135,131,129,
127,125,126,126,128,131,133,139,142,147,151,156,160,165,169,173,175,179,181,184,185,184,184,182,
180,177,173,170,165,160,153,148,141,136,130,123,119,114,111,108,106,106,105,107,108,111,114,117,
121,124,129,134,138,142,145,148,151,152,153,151,150,148,145,143,139,137,133,132,129,128,126,125,
123,123,121,121,119,119,119,117,118,118,117,118,118,120,121,124,127,129,132,133,135,134,135,132,
130,127,122,118,113,108,102, 98, 92, 88, 83, 79, 74, 72, 70, 69, 68, 71, 73, 78, 82, 90, 96,102,
110,117,124,130,136,139,144,147,148,150,148,148,144,142,137,134,128,125,120,114,111,105,102, 98,
 93, 92, 89, 89, 88, 89, 89, 91, 94, 95, 97,100,102,105,107,108,110,112,112,113,112,113,112,113,
111,111,108,107,104,102, 98, 96, 93, 89, 87, 83, 82, 79, 78, 78, 76, 78, 79, 80, 84, 87, 90, 95,
 99,105,109,114,119,123,128,130,134,135,136,135,135,134,131,129,126,124,121,120,119,117,118,118,
118,120,121,124,127,131,134,138,141,145,148,152,155,160,162,166,170,172,176,178,178,180,180,179,
179,177,176,174,172,168,166,161,159,155,152,149,146,144,143,142,141,143,143,146,148,152,154,157,
160,161,164,165,164,166,165,165,163,162,159,155,153,149,147,143,141,138,136,132,131,128,127,125,
125,123,124,124,123,125,125,127,129,131,132,134,134,137,137,139,139,139,138,137,134,133,129,128,
124,120,118,113,111,107,106,102,102,101, 99,100,100,103,105,108,111,116,121,124,130,134,140,144,
149,153,158,160,164,165,168,169,168,168,165,164,161,157,154,151,146,143,139,134,131,128,127,126,
124,125,125,127,128,128,130,130,131,130,130,130,128,128,126,126,124,125,123,123,121,122,122,120,
121,121,120,121,122,121,122,122,122,121,123,123,125,126,129,130,134,136,139,142,143,146,147,150,
151,151,153,152,150,149,145,142,137,132,126,121,116,112,109,105,102,100, 98, 97, 96, 94, 94, 93,
 94, 93, 95, 96, 97,100,101,105,108,110,114,118,121,126,130,131,134,134,135,134,133,131,129,127,
124,123,122,120,121,120,121,120,121,122,121,122,122,124,123,125,124,125,124,124,122,121,118,116,
114,109,106,103, 97, 94, 88, 85, 80, 77, 73, 72, 69, 70, 68, 70, 69, 72, 73, 76, 78, 83, 86, 90,
 97,101,109,115,121,128,133,139,145,148,153,154,157,158,160,160,160,160,158,158,155,152,149,145,
141,135,132,126,122,117,113,109,105,102, 99, 98, 97, 96, 96, 98, 98,101,103,103,106,106,108,107,
109,108,108,106,106,104,100, 98, 95, 91, 89, 88, 85, 85, 85, 87, 87, 90, 94, 96,102,106,111,117,
122,128,132,137,142,144,148,150,154,155,157,157,158,157,157,155,155,152,150,147,145,141,138,135,
131,129,125,124,121,120,118,118,118,118,119,121,123,127,130,136,140,146,150,157,160,166,168,172,
174,174,175,174,174,172,171,167,166,163,161,158,157,154,154,151,151,148,147,145,145,143,141,141,
140,139,139,138,139,138,138,137,136,135,133,132,129,128,124,122,117,114,111,106,104,100, 99, 97,
 97, 95, 96, 96, 98, 98,102,104,106,110,112,117,121,124,128,131,135,137,141,142,145,147,146,148,
147,146,145,143,142,139,136,132,129,124,122,119,115,114,112,112,112,112,114,116,120,124,127,133,
136,141,144,148,150,153,153,155,155,156,157,157,157,158,158,158,159,159,160,160,160,159,160,158,
158,156,155,153,152,150,149,148,148,148,148,148,150,151,152,153,153,155,154,154,154,152,152,149,
148,145,143,139,136,131,129,125,124,122,122,121,122,123,123,126,126,130,131,134,136,139,141,145,
148,150,155,157,161,162,166,166,169,169,169,169,166,164,159,155,150,145,140,135,131,127,125,122,
121,118,118,117,115,114,114,112,113,112,112,111,113,113,115,116,116,119,118,120,119,121,120,121,
120,121,119,120,119,118,116,117,115,115,115,114,114,112,112,110,110,108,109,107,108,106,108,108,
109,109,109,108,108,107,105,102,100, 97, 94, 90, 87, 83, 80, 77, 75, 73, 70, 70, 69, 67, 68, 67,
 69, 69, 72, 73, 77, 79, 84, 87, 92, 96,102,106,112,116,120,123,126,129,129,131,130,131,129,128,
124,122,117,114,109,106,101, 97, 94, 90, 86, 84, 81, 79, 77, 76, 76, 74, 75, 73, 73, 72, 71, 71,
 69, 69, 69, 67, 68, 66, 67, 66, 67, 68, 69, 70, 70, 72, 72, 75, 75, 78, 81, 83, 87, 91, 94, 99,
102,108,112,117,123,127,133,138,144,150,155,160,164,166,170,171,171,172,170,169,165,162,157,154,
148,145,139,136,131,129,125,125,122,123,122,123,123,124,125,128,130,134,137,143,147,153,157,164,
168,174,178,182,186,189,192,193,194,194,194,193,192,189,188,185,184,183,180,180,177,177,176,174,
174,173,171,171,169,169,167,166,165,162,161,158,157,153,152,148,146,141,139,135,132,128,126,123,
118,117,113,112,109,109,108,107,109,108,111,112,116,118,124,129,135,141,147,154,159,165,169,173,
175,178,179,181,181,180,180,178,177,175,173,169,167,163,161,156,154,149,146,143,139,135,133,129,
129,126,127,128,128,131,133,137,139,144,145,149,150,153,153,155,155,154,154,153,152,149,148,145,
143,140,139,137,137,136,137,137,137,138,138,140,141,142,143,144,144,145,145,146,146,144,145,144,
142,141,138,138,134,133,128,125,121,115,110,104, 99, 93, 90, 85, 84, 82, 81, 82, 83, 85, 88, 92,
 95, 99,104,107,110,115,118,123,125,130,134,136,140,142,145,146,147,146,146,143,142,138,136,131,
128,123,120,115,110,107,103,100, 96, 93, 90, 88, 85, 85, 85, 85, 85, 87, 89, 91, 94, 96, 99,101,
101,103,101,102, 99, 99, 96, 95, 91, 90, 87, 86, 83, 83, 82, 81, 81, 81, 82, 83, 82, 84, 86, 86,
 89, 91, 94, 98,101,105,109,111,115,116,118,118,119,118,117,116,112,111,106,104,101, 97, 96, 92,
 91, 90, 87, 87, 86, 87, 86, 87, 88, 90, 92, 94, 98,100,104,107,110,114,117,121,123,127,130,132,
135,136,136,138,137,138,137,134,133,129,127,124,120,117,113,110,105,103,100, 97, 96, 94, 94, 94,
 94, 95, 96, 98,100,102,105,107,110,112,114,115,116,117,116,117,116,117,116,117,116,118,118,120,
122,124,128,131,136,140,143,148,151,156,159,164,167,172,174,179,181,184,186,189,189,191,191,189,
188,185,183,178,175,170,165,160,156,151,146,143,139,137,134,133,132,131,132,132,132,135,136,137,
140,141,145,147,151,152,156,157,160,161,164,165,166,167,167,168,166,167,165,164,162,161,158,156,
153,152,150,147,146,143,141,139,138,136,137,135,136,134,135,133,133,130,129,125,123,119,114,111,
106,104,100, 96, 95, 91, 91, 88, 88, 87, 88, 88, 90, 92, 93, 96, 99,103,108,111,118,123,131,137,
145,153,160,167,172,177,180,184,184,186,184,184,182,178,176,173,170,166,161,158,153,151,147,145,
141,140,138,137,136,134,134,132,133,131,132,131,132,131,132,132,132,133,132,134,133,135,135,137,
138,138,138,139,138,139,138,139,137,139,138,141,143,144,148,151,156,159,164,166,170,171,174,174,
175,174,174,173,171,168,166,162,159,155,152,147,143,138,133,128,123,117,113,107,104,100, 98, 96,
 94, 95, 94, 96, 97,100,103,105,110,112,117,120,125,128,132,136,138,142,144,144,145,143,142,140,
137,135,131,129,126,122,120,116,115,113,111,111,110,108,108,105,105,103,102,100, 99, 97, 97, 95,
 95, 94, 92, 90, 89, 85, 84, 81, 76, 74, 69, 67, 63, 59, 57, 56, 53, 53, 52, 54, 55, 56, 60, 63,
 67, 71, 76, 81, 84, 90, 94,100,105,108,114,117,121,123,126,126,128,126,126,123,122,119,114,112,
107,102, 99, 93, 89, 83, 80, 76, 71, 69, 65, 64, 63, 63, 64, 65, 67, 68, 72, 73, 78, 80, 85, 87,
 90, 93, 95, 97, 97, 99, 98, 99, 97, 97, 94, 94, 91, 91, 89, 89, 88, 88, 88, 89, 90, 92, 93, 96,
 97,100,102,105,107,109,112,114,116,119,121,124,126,128,130,132,131,133,132,132,131,129,129,127,
126,125,124,122,122,122,122,125,126,130,133,136,140,144,150,153,159,163,168,172,178,181,187,191,
193,197,198,200,200,202,201,201,199,198,195,193,190,187,183,178,176,173,170,168,167,164,165,163,
164,163,165,165,168,169,172,174,175,178,180,181,182,181,181,180,178,176,173,171,168,167,164,163,
161,160,158,157,156,155,154,154,153,152,152,151,151,150,151,151,151,151,152,151,153,152,154,153,
151,151,149,145,142,139,134,132,128,124,123,120,118,118,117,116,117,118,119,122,124,126,130,132,
136,139,144,146,151,154,159,162,167,169,172,174,176,178,178,180,181,180,180,179,178,176,173,169,
166,161,157,151,147,142,137,134,130,128,126,125,125,125,125,125,125,125,125,124,124,124,122,122,
120,121,121,120,121,121,121,121,121,121,120,121,119,120,118,119,118,119,119,120,122,124,125,128,
131,132,135,136,136,137,137,137,137,134,134,130,129,125,120,117,112,108,102, 98, 93, 89, 84, 80,
 76, 74, 71, 69, 69, 67, 68, 68, 68, 70, 71, 71, 73, 74, 77, 78, 82, 84, 88, 90, 94, 96,101,104,
105,109,111,111,113,113,113,112,112,111,109,109,107,107,105,105,102,102,100,100, 97, 96, 95, 92,
 91, 88, 87, 85, 84, 82, 80, 79, 77, 77, 75, 73, 73, 71, 69, 69, 68, 68, 67, 69, 68, 70, 70, 73,
 73, 76, 79, 81, 85, 88, 93, 98,103,107,114,118,125,129,135,138,144,147,149,152,153,152,153,151,
150,146,143,141,137,134,129,126,122,117,115,110,109,104,103,100, 99, 96, 96, 94, 94, 93, 92, 93,
 92, 93, 92, 94, 93, 96, 97, 97,100,102,102,105,106,108,108,110,111,113,114,116,117,119,120,123,
125,128,130,134,137,141,144,149,151,155,157,160,161,164,165,167,166,167,167,165,165,162,162,159,
156,155,152,150,147,145,142,141,139,136,136,135,133,135,134,137,139,141,145,149,152,157,161,166,
171,175,180,185,187,192,194,195,198,197,198,196,195,192,190,187,184,182,178,176,172,170,166,164,
160,158,155,153,149,147,144,143,140,139,138,136,135,135,135,133,135,133,134,133,132,129,129,125,
124,120,118,116,114,113,112,111,112,112,113,114,114,116,117,120,122,123,125,126,129,130,133,134,
137,139,140,142,143,144,145,145,145,144,144,142,141,138,137,135,132,131,127,126,124,122,119,118,
116,117,116,119,120,124,128,132,137,142,146,152,155,160,161,164,165,166,166,165,166,165,165,164,
164,161,161,160,157,156,153,152,148,147,143,141,137,135,135,133,134,133,135,135,138,138,139,141,
140,142,141,142,141,139,139,137,136,135,134,132,131,130,128,127,125,124,123,122,121,121,121,122,
123,124,126,128,129,133,135,136,138,140,140,143,142,144,145,144,145,144,144,141,140,136,133,128,
125,118,114,108,104, 98, 94, 90, 85, 83, 80, 79, 77, 77, 78, 78, 80, 81, 84, 87, 88, 92, 94, 98,
101,104,106,109,111,112,114,114,115,114,114,112,111,110,107,106,102,101, 98, 96, 92, 91, 88, 87,
 85, 85, 83, 83, 83, 83, 84, 85, 84, 86, 86, 88, 87, 88, 88, 87, 87, 87, 85, 84, 83, 81, 81, 79,
 80, 78, 79, 78, 78, 79, 79, 80, 81, 82, 83, 84, 87, 89, 93, 95,100,102,107,110,113,117,120,122,
126,127,130,131,131,132,131,129,128,124,122,117,114,109,105, 98, 94, 88, 84, 79, 76, 72, 71, 68,
 68, 67, 67, 68, 68, 70, 71, 74, 75, 79, 81, 84, 86, 91, 94, 97,101,104,107,111,113,117,119,123,
125,129,130,133,135,138,139,142,144,147,149,153,156,160,163,167,168,172,174,175,176,178,177,179,
177,177,175,174,171,169,165,163,159,157,154,150,149,146,146,145,145,144,145,146,146,149,150,152,
156,158,162,164,169,172,178,182,186,191,195,200,203,207,209,212,212,213,212,210,208,205,202,199,
194,192,187,184,180,178,175,170,169,164,163,159,157,153,152,150,147,146,144,143,142,142,141,140,
140,138,137,136,134,133,130,129,127,125,124,122,122,121,120,121,121,123,124,126,128,132,135,139,
143,148,154,158,164,167,172,174,177,176,177,176,174,172,168,166,162,160,156,153,151,148,146,144,
142,140,137,133,131,128,126,123,123,121,122,122,122,125,127,128,131,132,136,137,140,141,141,142,
141,142,140,141,140,141,139,140,139,139,138,137,137,135,135,132,132,130,130,128,128,128,128,128,
128,127,128,126,127,126,126,124,124,121,121,119,116,114,111,109,105,103, 99, 96, 92, 89, 85, 83,
 80, 77, 77, 75, 77, 77, 80, 81, 84, 88, 91, 96, 99,103,106,109,110,113,114,116,117,117,116,116,
115,113,112,109,107,105,100, 98, 94, 92, 88, 85, 83, 80, 79, 77, 77, 76, 76, 75, 77, 76, 79, 79,
 82, 83, 85, 86, 89, 90, 91, 92, 91, 92, 90, 91, 90, 88, 88, 85, 85, 83, 83, 81, 82, 82, 81, 82,
 81, 83, 84, 84, 86, 87, 90, 91, 95, 97,101,103,106,108,111,113,116,116,119,119,121,120,121,119,
119,116,115,113,112,109,107,105,102,101, 99, 99, 98, 96, 98, 99,100,103,105,109,113,115,120,124,
128,131,134,136,139,140,141,142,141,141,139,138,137,134,133,130,128,125,122,120,116,114,110,108,
104,103,100,100, 99,100,101,102,105,106,110,112,117,120,122,126,129,130,134,135,138,139,141,142,
142,144,144,146,146,148,149,149,151,152,155,156,158,159,162,164,165,169,170,173,174,177,178,180,
182,182,184,184,185,185,185,184,184,182,181,178,176,173,168,166,161,158,154,152,148,147,145,145,
145,144,146,148,149,151,152,154,157,158,160,161,164,164,167,169,170,172,172,173,174,173,172,172,
169,168,166,162,160,155,152,149,145,141,139,137,134,132,130,128,125,124,122,122,121,119,119,118,
118,116,115,112,111,108,107,104,103,100, 99, 97, 97, 97, 98,100,102,103,107,109,112,114,117,118,
122,124,126,129,132,136,139,144,149,152,158,162,167,169,173,176,176,177,175,175,171,170,166,164,
160,158,155,151,149,146,142,140,136,134,131,127,126,123,123,121,122,122,122,124,124,126,127,130,
131,133,134,136,138,138,141,141,143,143,146,146,147,148,147,149,148,149,147,149,149,148,150,149,
151,152,151,153,152,153,153,153,152,149,148,145,141,139,134,132,127,124,120,118,115,112,108,106,
103,102, 98, 96, 95, 93, 92, 90, 91, 90, 90, 91, 91, 93, 94, 97, 99,100,104,106,108,112,113,116,
117,120,121,123,122,124,123,124,123,123,121,120,117,117,115,112,111,108,106,103,101, 99, 96, 94,
 91, 90, 87, 86, 83, 83, 81, 80, 80, 78, 77, 77, 75, 75, 74, 74, 73, 72, 72, 72, 71, 72, 71, 73,
 73, 75, 76, 79, 81, 83, 85, 89, 91, 95, 99,101,106,108,113,115,119,120,123,123,125,124,125,123,
123,120,120,116,116,112,111,107,106,104,101,100, 96, 95, 92, 91, 88, 87, 85, 83, 82, 80, 80, 79,
 80, 80, 82, 82, 85, 87, 88, 91, 91, 94, 95, 95, 96, 97, 97, 98, 98, 97, 99, 98,100,101,100,102,
102,103,105,106,108,110,110,113,113,116,118,120,122,123,124,127,129,130,133,133,136,136,138,138,
140,141,141,143,143,145,144,145,143,144,143,144,142,144,143,145,145,147,149,151,155,158,163,166,
169,174,177,179,183,185,186,189,190,191,193,192,193,192,193,191,192,191,188,188,185,184,180,178,
175,171,170,167,166,165,165,163,164,164,163,164,163,164,165,164,166,165,166,166,166,165,166,164,
164,163,161,161,159,158,156,156,155,154,154,153,154,154,152,152,149,149,146,145,143,140,139,136,
136,135,134,134,135,136,137,139,139,140,140,140,139,139,137,134,133,130,129,127,126,126,124,126,
125,128,129,131,131,134,135,139,140,143,145,149,151,155,159,161,165,167,170,171,174,174,173,173,
172,169,168,165,163,159,156,152,150,145,142,139,134,132,128,127,124,121,121,119,119,119,118,119,
119,120,120,121,121,121,120,121,120,121,121,120,121,121,122,123,123,126,125,127,126,127,125,126,
125,125,124,122,123,122,121,121,120,121,120,121,122,120,122,120,121,120,119,116,115,112,110,107,
104,100, 98, 93, 89, 86, 83, 79, 76, 73, 71, 69, 67, 67, 65, 66, 65, 67, 67, 69, 70, 74, 76, 80,
 82, 87, 90, 95, 98,102,105,109,112,113,116,116,117,117,117,115,114,112,108,107,103,102, 98, 95,
 93, 89, 87, 84, 82, 79, 78, 76, 75, 74, 74, 74, 73, 74, 74, 73, 74, 75, 74, 76, 76, 78, 78, 80,
 82, 84, 84, 88, 89, 92, 93, 96, 96,100,102,104,107,109,112,115,116,120,122,126,129,131,136,138,
143,145,149,150,152,152,153,152,151,149,146,144,140,138,134,131,127,123,120,116,111,109,105,102,
100, 96, 95, 92, 92, 89, 90, 88, 90, 90, 91, 93, 96, 97,101,103,107,109,114,117,121,125,127,132,
134,138,139,141,144,145,147,147,148,150,149,151,151,154,154,157,158,160,162,162,164,163,164,163,
164,162,162,161,159,158,156,154,154,152,151,152,150,150,149,148,147,146,145,144,143,145,144,147,
147,150,153,155,160,163,166,171,175,177,181,183,186,186,189,190,190,192,192,191,191,190,187,186,
183,181,178,174,172,168,165,161,159,155,152,148,146,141,139,135,131,129,126,125,123,123,122,122,
123,122,123,124,124,125,123,123,121,120,117,116,113,111,110,108,109,109,110,110,113,114,117,120,
122,124,126,126,128,130,130,132,132,133,134,134,136,136,136,136,135,135,133,132,130,130,127,127,
124,125,122,123,120,122,121,122,121,123,123,125,125,127,127,130,132,133,136,137,141,142,145,146,
149,149,149,151,150,152,152,151,152,151,152,151,151,151,149,149,146,146,143,142,139,139,136,136,
134,134,133,134,135,134,137,136,139,139,141,140,141,140,140,139,139,138,135,135,132,132,129,129,
126,127,125,125,124,126,126,126,128,129,132,133,134,136,136,138,138,140,140,141,140,141,139,139,
137,136,134,132,129,127,124,119,117,113,109,107,102,100, 96, 95, 94, 93, 92, 90, 91, 91, 91, 93,
 93, 96, 96, 99,100,103,105,106,108,110,110,112,112,113,113,114,112,113,112,111,110,108,107,105,
102,100, 98, 96, 95, 93, 90, 90, 89, 88, 87, 87, 86, 87, 86, 88, 89, 90, 92, 92, 95, 96, 97, 97,
 97, 97, 97, 95, 94, 92, 92, 90, 90, 89, 89, 89, 88, 90, 89, 92, 92, 95, 96, 99,102,103,106,108,
111,113,116,118,120,122,123,125,126,127,127,126,126,123,123,119,117,113,110,105,101, 96, 93, 87,
 84, 79, 77, 72, 70, 67, 67, 65, 66, 66, 67, 70, 71, 75, 78, 81, 83, 87, 90, 94, 97, 99,103,106,
108,111,114,118,122,124,129,131,135,138,139,143,143,147,146,149,148,150,150,152,153,154,154,156,
157,159,159,161,161,160,161,159,160,158,158,156,156,155,154,153,152,150,150,150,147,148,146,147,
146,147,146,149,150,151,154,156,159,161,165,167,172,174,178,181,185,188,191,193,197,198,201,203,
202,203,202,199,197,193,190,184,181,176,173,168,166,163,160,159,158,156,154,153,150,149,147,143,
141,137,135,131,130,127,127,125,126,124,126,126,125,127,126,128,127,129,130,130,132,133,135,137,
138,140,143,145,147,150,152,153,156,157,160,160,163,163,165,166,166,167,167,168,166,166,164,164,
161,160,157,155,154,151,149,147,144,142,138,137,133,132,129,128,126,125,123,123,122,124,125,126,
129,131,134,136,138,139,142,142,144,143,144,143,144,144,142,143,141,141,140,140,140,139,139,138,
139,138,137,138,136,136,134,134,132,130,128,126,124,122,120,117,116,113,110,109,106,105,103,102,
 99, 99, 96, 96, 94, 94, 92, 92, 92, 91, 91, 92, 92, 93, 93, 95, 97, 97,100,100,103,104,104,106,
107,107,109,108,110,110,109,110,110,108,108,107,106,105,104,102,101, 99, 98, 95, 94, 92, 90, 89,
 86, 86, 85, 83, 83, 82, 82, 80, 81, 80, 80, 80, 80, 81, 80, 82, 81, 83, 83, 82, 84, 83, 84, 84,
 83, 85, 84, 86, 86, 88, 89, 90, 93, 95, 98,100,103,105,107,109,110,111,113,113,114,115,115,116,
116,117,117,116,118,117,118,118,117,118,116,116,115,113,113,111,111,110,110,110,109,110,109,111,
111,111,114,114,116,117,120,120,123,124,124,126,126,127,126,126,125,125,124,122,122,120,120,118,
118,117,117,116,116,116,114,115,113,114,112,112,110,111,111,112,113,115,116,119,121,125,128,129,
132,134,135,138,138,140,141,143,144,147,147,150,150,153,154,154,156,157,157,159,160,161,161,163,
163,165,166,166,169,169,171,171,173,172,173,173,172,173,172,173,171,172,170,170,168,166,164,161,
159,157,153,152,149,147,146,145,146,145,147,147,150,150,152,152,153,153,152,152,151,151,151,151,
151,152,152,154,155,157,157,158,158,157,157,154,152,149,146,143,138,136,131,129,125,123,119,118,
116,113,113,110,110,108,107,106,105,106,105,106,106,108,108,108,110,110,111,112,111,113,112,114,
114,116,117,118,121,122,125,128,129,132,134,137,139,143,144,148,150,154,155,158,160,162,163,165,
165,165,164,164,162,160,157,154,150,149,146,144,140,137,136,133,132,129,129,127,125,125,124,123,
123,122,123,123,123,124,124,126,127,130,131,134,136,140,142,146,148,152,153,157,157,160,159,161,
161,160,160,158,156,156,153,153,150,150,148,147,145,144,144,141,141,139,139,137,137,135,134,133,
132,130,128,128,126,124,122,119,118,116,114,112,110,108,107,105,104,102,103,101,103,104,105,107,
109,111,113,116,118,121,124,126,128,130,132,134,135,137,136,137,136,135,134,131,129,126,124,120,
117,114,110,108,103,101, 98, 94, 91, 87, 85, 81, 79, 76, 75, 73, 72, 71, 71, 71, 72, 73, 74, 77,
 78, 82, 83, 87, 88, 91, 92, 93, 95, 96, 97, 98,100,100,102,101,104,104,105,105,108,107,109,110,
110,112,112,113,113,115,114,115,114,115,114,113,113,111,110,108,105,104,100, 99, 97, 95, 91, 90,
 87, 84, 82, 79, 77, 75, 73, 70, 69, 67, 68, 68, 68, 70, 72, 74, 77, 81, 83, 87, 90, 93, 95, 97,
 97,100,101,104,104,107,108,111,112,113,115,115,117,117,119,118,120,119,120,120,120,121,121,123,
123,125,126,128,128,130,130,132,131,133,134,134,136,137,138,138,139,140,140,141,142,143,142,144,
145,145,148,149,152,155,157,161,164,166,170,171,174,174,177,176,178,177,179,179,181,183,184,185,
186,187,186,187,186,185,183,179,177,173,170,165,163,160,156,155,152,152,152,150,152,151,153,153,
153,154,155,154,156,156,156,158,157,159,159,158,159,158,158,156,156,154,153,151,151,148,148,146,
146,145,143,144,142,143,142,142,142,140,141,141,140,141,140,141,142,142,142,142,142,141,141,140,
139,138,138,137,138,138,137,139,139,141,141,144,145,147,148,149,151,151,153,153,155,154,157,156,
158,159,159,161,162,162,164,164,165,165,165,163,163,160,158,155,153,150,145,143,138,136,131,129,
126,123,122,120,120,118,120,118,120,120,122,122,124,124,124,126,126,127,128,128,130,130,131,130,
130,130,128,129,128,127,127,126,126,124,125,124,122,122,121,121,121,121,120,120,119,119,118,117,
115,114,112,111,108,107,105,103, 99, 98, 94, 93, 89, 88, 84, 84, 81, 79, 78, 77, 76, 75, 76, 76,
 78, 79, 82, 84, 86, 87, 91, 92, 96, 97,101,102,105,107,109,111,112,114,115,115,114,115,114,112,
111,108,105,102, 99, 95, 92, 89, 85, 83, 80, 79, 76, 76, 75, 75, 74, 75, 75, 76, 76, 78, 79, 80,
 82, 82, 84, 85, 86, 88, 89, 91, 92, 93, 95, 95, 98, 99,100,103,104,107,108,110,113,114,118,119,
122,124,125,127,129,131,132,134,137,137,140,140,143,142,143,142,139,138,135,131,128,123,120,115,
112,107,105,101, 99, 96, 94, 92, 90, 89, 87, 86, 85, 85, 84, 86, 87, 87, 91, 93, 96,100,104,107,
112,115,118,123,126,130,133,135,139,140,144,146,147,150,151,152,153,153,154,154,155,154,155,154,
156,155,156,155,156,155,156,155,153,153,151,150,148,148,147,147,147,147,147,149,149,150,151,151,
152,152,151,152,150,151,150,150,150,152,153,157,159,163,166,170,173,177,179,182,183,184,184,184,
184,182,183,181,180,178,177,175,172,171,167,166,162,160,155,153,150,147,143,140,136,135,131,130,
127,125,123,121,120,116,116,114,115,114,113,114,114,115,115,117,117,117,118,118,119,121,120,122,
123,123,125,125,127,127,130,131,132,132,134,133,134,134,134,135,135,135,136,136,137,137,138,140,
139,141,142,142,142,142,140,140,138,138,135,135,132,132,129,129,128,128,128,129,129,130,131,133,
135,137,138,141,143,146,147,148,150,150,152,151,153,152,154,153,154,153,154,152,153,153,152,151,
152,151,151,149,149,147,147,145,145,143,143,141,139,139,138,137,136,136,134,135,133,133,132,132,
131,130,131,131,130,131,131,132,132,133,133,133,132,133,132,133,134,134,133,134,133,133,133,132,
132,131,130,130,129,128,128,126,126,124,124,123,122,122,120,119,118,116,115,113,111,110,107,106,
103,103,100,101,100, 99,100, 99,100, 99,101,100,102,102,102,101,102,101,101,100,100, 99,100,100,
 98, 99, 99, 98, 99, 98, 99,100, 98,100, 98, 99, 97, 98, 97, 97, 96, 96, 96, 94, 95, 93, 94, 92,
 92, 91, 91, 90, 91, 90, 92, 92, 92, 93, 93, 92, 93, 92, 93, 93, 91, 92, 92, 93, 94, 95, 97, 97,
100,103,104,106,108,108,109,108,110,108,108,108,107,106,107,105,106,104,104,104,102,102, 99, 99,
 96, 94, 92, 90, 88, 86, 84, 83, 80, 80, 78, 78, 77, 76, 76, 76, 75, 76, 76, 77, 79, 81, 83, 87,
 90, 92, 96, 98,103,105,109,112,114,118,121,124,128,131,135,138,141,144,145,149,149,151,150,151,
149,150,148,149,149,149,150,149,152,152,154,154,157,157,158,157,156,155,153,153,152,150,150,148,
149,148,150,151,152,154,155,155,157,158,160,160,161,162,163,164,164,166,167,169,171,171,174,174,
177,177,180,180,183,183,185,185,186,187,186,187,185,185,182,181,178,174,172,168,165,161,159,155,
152,149,145,143,140,137,134,133,130,129,127,126,125,125,125,126,126,129,130,132,134,136,136,139,
141,141,143,143,145,144,146,145,147,147,150,150,153,154,156,156,159,159,162,164,164,166,166,168,
168,166,166,165,164,162,161,158,157,156,154,153,151,149,147,145,145,143,142,140,139,137,135,134,
133,130,131,129,128,128,128,129,129,131,133,134,136,137,141,143,145,147,148,150,152,152,154,154,
155,155,156,155,154,152,152,149,148,145,143,141,138,134,133,129,128,125,124,120,120,117,117,114,
114,111,112,109,110,107,108,106,106,106,105,104,103,102,102,100,100, 99, 96, 97, 95, 95, 94, 95,
 96, 95, 97, 97, 99, 99,102,103,105,106,106,108,107,109,108,109,109,109,109,109,107,108,105,106,
103,103,100, 98, 96, 92, 90, 87, 83, 82, 78, 76, 73, 72, 69, 68, 67, 65, 66, 64, 65, 66, 67, 69,
 71, 72, 75, 77, 80, 82, 85, 87, 90, 92, 92, 95, 95, 97, 98, 99,101,102,104,105,107,109,110,111,
111,111,111,112,111,111,111,109,111,110,112,113,113,115,115,117,117,118,118,117,117,116,116,114,
113,111,111,109,109,107,108,106,107,105,106,106,105,106,105,107,106,108,109,111,112,112,115,115,
117,118,118,119,118,120,120,119,120,120,121,120,121,121,121,120,120,120,118,118,117,117,117,116,
118,118,121,123,126,128,131,133,136,139,139,141,142,142,143,143,144,144,145,147,148,150,152,155,
156,159,160,162,162,162,163,163,163,162,163,162,163,163,163,165,165,167,168,170,170,172,172,173,
172,174,173,172,172,171,170,169,166,165,162,159,158,154,153,150,150,147,146,147,147,147,148,148,
150,150,152,152,153,154,154,155,157,156,157,157,157,157,156,154,155,152,152,149,148,145,143,139,
137,135,131,130,127,126,124,123,121,120,119,117,117,115,116,115,114,114,113,114,113,112,113,112,
114,113,115,115,117,119,120,121,123,124,127,129,130,132,133,135,136,136,138,138,140,141,141,143,
143,145,146,148,148,151,151,153,153,155,155,154,153,151,150,147,146,142,140,137,135,132,130,127,
125,124,122,122,121,119,120,120,121,121,123,124,127,128,131,134,136,138,141,142,145,146,149,150,
150,152,151,153,152,153,153,151,152,150,150,148,148,147,146,145,144,142,142,140,140,138,139,138,
137,137,136,134,133,131,130,127,126,124,122,121,117,117,114,113,112,109,109,107,107,105,105,104,
105,103,104,103,105,105,107,108,109,112,114,116,119,120,124,125,128,128,130,130,131,131,129,130,
127,126,123,121,116,114,110,106,101, 98, 94, 91, 87, 86, 84, 82, 80, 79, 77, 78, 76, 77, 77, 75,
 76, 76, 78, 79, 80, 82, 84, 87, 88, 92, 94, 96, 98, 99,102,103,102,104,104,104,105,105,107,106,
109,109,112,113,113,116,116,118,119,120,120,121,121,122,121,122,120,120,118,117,115,113,110,108,
104,102, 98, 96, 93, 91, 89, 86, 85, 82, 82, 81, 79, 79, 77, 77, 76, 77, 76, 78, 79, 80, 84, 86,
 88, 92, 95, 99,101,105,107,110,111,113,114,116,117,118,120,121,123,125,126,127,129,129,130,130,
129,130,128,127,126,124,125,123,124,123,125,125,127,129,129,132,132,134,134,137,136,138,137,139,
140,139,141,142,141,143,143,146,146,149,150,151,155,156,160,162,166,167,171,173,175,176,178,179,
180,179,180,179,180,178,178,176,176,174,173,171,171,169,169,167,164,164,161,159,158,155,155,153,
152,152,151,149,150,148,149,149,148,149,148,149,149,150,150,149,150,150,151,151,152,152,152,154,
153,155,154,155,154,155,155,154,153,151,151,149,149,146,146,144,144,142,143,142,143,143,143,142,
144,143,145,144,145,145,144,144,142,142,141,140,139,139,137,138,137,138,138,140,140,142,142,144,
146,146,148,149,150,152,152,154,153,155,154,155,154,155,154,154,153,152,151,150,148,146,145,143,
142,140,140,138,138,136,135,133,132,131,129,129,128,125,125,123,124,123,123,122,123,122,124,123,
124,124,124,123,124,123,124,122,124,123,124,123,125,124,125,124,125,125,124,124,122,122,121,119,
118,116,116,113,113,111,111,110,108,107,105,104,102,101, 99, 96, 95, 94, 91, 91, 88, 88, 86, 86,
 84, 85, 83, 85, 85, 84, 86, 86, 87, 89, 89, 92, 92, 94, 95, 96, 96, 98, 97, 98, 98, 97, 98, 98,
 97, 98, 97, 99, 98, 99, 99, 98, 98, 97, 97, 95, 94, 92, 91, 89, 88, 87, 87, 85, 86, 85, 86, 85,
 86, 86, 87, 86, 87, 87, 87, 88, 88, 90, 89, 92, 92, 94, 95, 96, 99,101,101,104,105,109,109,113,
114,117,118,122,123,126,127,130,131,131,133,133,134,133,134,134,134,132,133,132,132,131,131,129,
129,126,125,123,119,118,114,113,110,110,107,107,105,106,105,104,105,104,106,105,106,106,106,107,
107,108,110,111,114,116,119,123,126,130,133,137,139,142,145,146,149,149,151,152,151,153,153,155,
155,155,156,156,155,156,155,156,155,155,154,155,153,153,152,150,150,149,149,148,146,146,145,145,
144,145,144,146,145,148,148,150,151,153,154,155,155,157,158,159,160,160,161,161,163,163,165,165,
167,167,169,169,171,170,171,171,172,170,171,170,168,168,166,165,162,161,158,156,154,150,148,144,
142,139,135,133,130,128,124,123,120,119,117,117,116,116,115,116,115,117,117,117,119,119,121,120,
122,122,123,123,124,125,124,126,126,128,127,130,131,131,133,133,135,136,136,138,137,138,137,137,
136,136,134,134,134,132,133,131,132,130,131,129,130,129,130,129,129,129,129,129,129,128,129,129,
128,129,128,128,128,128,128,128,128,129,129,130,131,133,134,137,138,139,142,143,145,146,146,148,
148,149,148,149,149,148,149,147,148,146,145,143,143,140,139,136,136,133,132,130,129,127,126,124,
125,125,124,125,124,125,124,125,124,125,124,125,124,125,125,126,126,126,127,128,127,129,128,129,
129,128,129,128,129,128,127,127,127,125,125,123,124,122,122,120,121,120,118,119,117,118,118,118,
118,117,118,118,115,116,114,112,111,108,106,103,102,100, 99, 97, 96, 96, 95, 96, 96, 95, 96, 96,
 95, 96, 97, 96, 97, 97, 99, 99,101,102,104,105,107,107,109,109,111,112,112,112,111,112,111,112,
110,110,110,109,108,106,107,106,104,104,103,103,103,104,104,104,106,106,107,107,109,108,110,110,
109,110,109,110,109,110,109,110,111,110,112,111,113,112,112,112,110,110,108,108,107,105,106,104,
105,104,104,104,105,104,105,104,105,103,103,102, 99, 99, 96, 96, 94, 95, 94, 95, 94, 95, 96, 96,
 98, 98,100,101,103,103,106,106,108,108,111,112,113,116,117,120,122,123,126,127,130,133,134,137,
139,140,142,145,144,147,146,148,147,149,147,148,148,147,148,147,148,147,149,148,150,151,151,151,
153,153,152,153,153,154,154,153,154,154,154,154,155,155,154,155,154,156,156,156,157,158,157,159,
158,160,160,161,162,164,164,166,168,168,169,170,170,171,170,170,170,168,168,167,165,164,161,159,
157,156,154,151,150,147,147,144,144,141,141,139,138,138,136,136,134,133,132,131,130,130,129,130,
129,131,131,133,134,135,137,138,140,142,143,144,146,146,148,149,149,151,151,151,152,152,151,152,
151,152,152,152,152,152,152,151,152,151,152,152,150,151,148,148,146,146,144,143,140,139,136,136,
134,132,131,129,129,129,129,128,128,127,128,129,128,130,130,131,133,132,135,136,137,139,139,141,
141,143,143,144,143,144,143,143,141,142,140,140,138,138,135,135,134,131,131,128,127,125,123,121,
119,118,115,115,114,111,111,108,108,107,106,105,103,104,102,103,101,102,101,101,101,101,100, 99,
100, 98, 99, 98, 97, 97, 96, 97, 96, 98, 98,100,101,103,104,107,107,110,109,111,110,111,110,109,
109,106,106,105,103,101,101, 98, 98, 95, 94, 93, 90, 90, 88, 86, 85, 83, 83, 82, 81, 79, 80, 79,
 81, 81, 81, 83, 83, 85, 87, 87, 90, 91, 94, 95, 98, 99,102,104,106,107,108,111,112,113,114,115,
115,117,117,120,120,122,123,123,124,124,125,124,125,125,125,123,124,122,123,122,123,121,123,122,
123,123,123,121,122,120,119,118,115,115,114,113,113,113,112,114,113,115,116,116,118,118,120,120,
122,122,123,124,124,124,125,126,126,127,127,129,130,129,131,131,132,132,133,134,133,134,133,134,
134,133,134,134,133,133,132,133,132,133,133,134,134,136,136,138,138,140,140,142,141,143,143,144,
145,145,146,147,147,148,148,150,150,153,153,155,157,157,159,160,162,162,164,164,165,165,166,165,
167,166,167,166,166,164,165,163,163,162,160,160,158,158,157,156,155,154,152,152,150,150,149,149,
148,148,146,147,145,145,145,143,144,143,143,141,142,140,141,139,140,139,139,139,138,137,137,139,
137,138,137,137,135,136,133,133,130,130,127,126,125,123,121,120,118,118,117,117,116,116,116,115,
114,115,114,116,116,115,117,116,117,118,118,118,119,119,118,120,120,122,122,123,125,126,126,129,
129,132,133,134,134,136,136,138,137,138,137,138,137,137,136,137,135,136,134,135,133,134,132,132,
131,130,130,130,130,130,128,130,128,129,130,129,130,130,130,130,130,130,129,129,130,129,131,130,
130,131,131,132,134,134,136,136,138,139,138,140,139,141,140,141,140,142,141,141,139,140,139,138,
137,135,134,133,132,130,130,129,129,128,128,127,125,125,122,122,120,117,117,114,113,111,111,110,
109,110,109,111,110,112,113,114,114,116,115,117,117,116,118,117,119,118,119,118,120,118,120,118,
119,117,118,116,116,114,114,113,111,111,109,109,107,107,105,105,102,102,101, 99, 99, 99, 98, 98,
 97, 98, 97, 98, 99, 98, 99, 98,100,100, 99,100,100,101,102,102,104,105,108,110,110,114,114,117,
117,120,119,122,121,123,123,124,125,126,126,127,127,128,127,128,128,127,127,125,123,122,120,118,
116,115,112,112,110,109,108,107,107,105,105,104,104,103,102,101,101,100,100, 98, 99, 98, 97, 98,
 98, 98, 99,100,102,102,104,105,107,107,111,111,113,116,117,119,119,122,121,124,124,124,126,126,
127,127,129,130,129,131,130,132,131,132,132,130,131,129,130,128,129,128,127,128,128,128,128,129,
128,129,131,131,133,134,136,138,138,141,141,145,145,149,150,151,154,156,157,157,159,159,161,160,
162,161,163,163,163,163,163,161,162,161,161,161,160,161,160,159,160,159,160,158,159,157,157,155,
155,153,152,150,149,146,146,143,143,142,140,140,140,139,140,138,140,138,140,138,140,139,140,139,
140,139,140,140,141,141,142,143,143,144,144,143,144,144,145,145,144,145,144,145,144,143,143,143,
142,141,140,139,137,137,135,135,133,134,133,133,132,134,133,135,134,136,135,137,137,139,139,139,
138,140,139,140,139,140,140,141,140,141,140,140,140,140,139,140,139,139,139,140,139,140,140,140,
141,140,142,141,142,142,141,142,140,140,140,139,139,138,136,136,134,134,131,131,129,128,127,125,
123,123,121,121,120,120,119,119,119,118,118,117,118,118,116,118,117,118,119,119,120,120,122,122,
123,122,123,123,122,121,119,116,116,113,112,109,108,106,104,103,103,101,101, 99,100,100, 98, 99,
 98, 99, 98, 99, 97, 99, 98, 99, 98, 99, 98, 99, 99, 98, 98, 97, 98, 97, 98, 97, 96, 97, 95, 96,
 96, 96, 95, 96, 95, 96, 96, 95, 96, 96, 97, 97, 98, 99,100,102,102,104,104,106,105,107,105,107,
105,106,105,106,104,106,105,106,106,107,108,107,108,108,108,106,108,106,107,107,107,109,109,112,
113,114,117,120,120,124,124,127,129,130,130,132,131,132,131,132,132,130,132,130,131,129,130,128,
128,126,127,125,126,125,123,124,123,122,122,122,121,120,120,119,120,119,120,119,120,120,121,121,
122,122,124,124,124,125,126,124,126,125,127,126,129,129,129,131,132,134,135,137,139,140,142,143,
145,146,148,148,150,151,150,152,152,151,152,151,152,152,151,150,150,148,149,148,146,146,145,146,
146,144,145,144,145,144,146,145,147,146,148,147,149,150,149,151,151,153,152,154,154,154,155,155,
155,155,156,155,157,156,156,157,157,156,157,156,157,155,155,153,153,150,149,147,147,145,144,142,
141,139,139,137,137,135,135,133,133,131,130,128,127,126,123,123,122,119,119,116,117,115,114,113,
113,112,112,113,113,113,115,116,116,119,119,122,122,125,126,126,128,128,129,129,128,130,129,130,
129,129,130,128,129,127,128,127,128,126,127,125,126,125,125,124,125,125,124,126,124,126,125,124,
125,124,124,124,124,124,123,124,123,124,124,125,125,127,127,128,128,130,130,131,131,132,134,133,
135,134,136,136,136,137,136,138,138,137,138,137,137,137,137,137,138,138,138,137,138,137,136,135,
134,131,131,128,128,126,124,123,122,122,122,122,122,122,123,123,124,124,125,126,125,126,125,127,
126,128,127,129,129,129,130,130,129,130,129,129,130,128,129,128,129,127,128,126,127,126,125,125,
124,124,123,121,121,119,120,118,118,117,117,116,116,115,115,113,113,111,111,109,109,107,107,106,
105,105,104,105,105,106,105,107,107,107,108,108,108,109,109,109,110,110,112,114,114,117,118,119,
121,122,123,124,123,124,123,124,123,123,122,122,121,121,121,121,121,119,120,118,119,118,118,117,
117,117,115,116,115,115,115,114,115,114,115,115,116,116,115,116,116,117,116,117,116,117,117,116,
116,115,115,114,112,112,111,111,110,108,109,108,109,109,108,109,108,110,109,110,109,111,110,111,
110,112,111,112,112,113,114,113,115,114,116,116,116,117,117,118,119,118,120,119,121,121,122,122,
124,124,126,127,128,129,131,132,133,135,135,138,137,140,141,141,143,144,144,145,145,147,146,148,
147,148,148,149,148,149,148,149,148,148,147,148,147,147,146,145,146,145,146,147,146,148,148,148,
150,150,151,152,151,152,152,152,151,151,152,150,151,149,150,149,149,148,149,147,148,146,147,146,
147,146,146,146,146,146,145,145,143,144,142,142,140,141,140,138,138,136,137,135,134,134,133,133,
132,132,131,132,131,131,130,130,130,130,129,130,129,131,130,131,133,133,135,135,137,137,139,140,
139,142,141,143,143,144,144,145,144,145,144,144,144,142,142,140,140,139,137,137,134,135,133,132,
132,131,131,131,129,130,129,130,129,131,130,132,131,133,133,134,134,135,135,135,135,135,134,134,
133,134,134,132,133,133,133,134,133,134,133,135,134,133,133,132,132,130,130,129,129,128,128,126,
127,125,126,125,124,124,123,121,121,119,119,118,115,115,113,111,111,108,108,107,106,105,104,103,
103,103,102,102,103,102,104,104,106,106,108,109,109,110,110,111,112,111,112,110,112,110,110,111,
110,110,109,108,107,106,104,104,101,101, 99,100, 98, 99, 97, 99, 97, 99, 99, 99,100,100,101,102,
100,102,100,101,100,101,100,101,101,102,102,103,103,105,105,107,108,109,109,111,111,111,113,114,
116,117,117,120,120,123,123,126,126,128,128,130,130,131,131,132,131,132,131,131,130,130,128,127,
127,125,125,123,123,122,122,121,121,120,121,120,121,122,122,122,121,123,122,124,123,125,125,126,
126,127,127,128,128,129,130,129,130,130,129,130,130,129,128,129,128,129,129,130,129,131,131,133,
132,134,134,136,136,138,138,140,139,141,142,142,142,141,142,141,142,140,140,138,139,138,138,136,
137,137,137,136,137,136,138,138,139,139,141,142,143,146,146,149,149,153,154,156,156,158,158,159,
158,159,158,158,157,157,156,156,155,154,154,151,152,151,151,149,149,147,148,147,145,146,144,144,
144,142,142,142,141,140,139,139,139,138,136,137,135,136,135,134,134,133,133,131,132,130,130,127,
128,125,126,123,124,123,121,122,121,121,121,121,121,122,121,123,122,123,122,123,122,123,121,122,
121,119,120,118,118,116,117,114,115,113,113,111,111,110,111,110,111,112,112,114,113,116,117,119,
119,120,122,123,125,125,127,127,128,128,129,129,130,130,129,129,128,129,128,128,128,127,126,128,
128,127,128,128,130,129,131,131,130,132,130,131,130,131,130,131,130,131,130,132,131,132,132,132,
132,132,132,132,132,130,131,128,129,129,128,128,127,129,128,129,129,130,131,131,132,133,134,135,
134,136,136,138,138,138,137,138,137,137,135,134,134,131,131,130,128,127,126,124,124,122,122,122,
121,121,120,121,120,121,120,121,122,123,123,124,124,126,126,128,127,129,129,127,128,126,127,125,
125,124,123,122,122,120,121,120,121,120,120,119,120,119,119,118,119,118,118,117,118,118,117,118,
117,119,118,119,118,119,119,118,119,118,119,117,118,118,118,117,116,116,116,116,116,117,117,117,
119,119,120,121,122,123,125,125,126,126,128,128,129,128,129,129,128,128,128,126,127,125,126,125,
124,123,121,121,119,118,116,116,115,113,112,112,110,110,110,110,109,109,108,109,108,109,108,109,
109,108,109,108,110,108,110,109,110,110,110,111,111,111,112,112,114,114,115,115,115,117,117,119,
119,121,120,123,122,124,123,125,124,126,126,127,126,128,127,129,128,128,128,128,127,127,126,127,
126,126,125,127,126,128,127,129,129,131,131,133,134,135,137,138,138,140,141,141,143,143,145,145,
146,146,148,147,148,149,149,150,149,148,150,148,149,147,148,146,147,146,145,144,144,142,143,141,
141,140,140,139,139,139,139,139,138,139,138,139,137,138,137,137,135,135,135,133,134,132,132,131,
130,131,130,131,131,130,132,131,133,133,134,134,136,137,137,137,139,138,140,140,139,140,139,140,
139,140,138,139,139,137,138,136,137,135,136,134,135,133,134,132,133,133,131,132,131,132,132,131,
132,132,132,132,133,132,133,132,133,132,133,134,133,135,134,136,137,137,138,138,138,138,137,137,
137,136,135,135,134,135,133,134,133,134,133,134,133,135,134,135,134,135,134,134,133,133,133,132,
131,130,129,128,127,126,125,124,123,122,121,120,121,120,121,120,121,121,121,121,121,122,121,122,
120,122,120,121,120,121,120,121,120,122,121,120,121,120,121,119,119,119,118,117,116,115,115,114,
114,112,113,112,112,112,111,111,110,108,108,106,105,105,104,104,103,104,103,105,105,104,106,106,
106,107,107,107,107,107,106,107,108,107,108,107,108,108,108,108,109,110,110,112,111,113,112,115,
114,116,115,117,118,117,119,118,119,120,120,119,121,121,120,121,121,122,121,122,122,122,122,123,
123,122,123,123,122,123,122,123,123,124,124,125,125,126,126,128,127,129,128,130,130,129,130,131,
130,131,130,131,130,131,130,131,129,130,129,129,128,128,127,127,126,126,125,125,125,123,124,123,
123,122,123,122,124,123,124,124,125,125,126,128,128,129,130,131,131,132,132,133,134,133,134,134,
135,135,136,136,137,138,138,138,137,139,138,139,138,139,139,139,140,139,141,140,142,141,142,142,
143,143,144,144,143,144,142,143,143,142,141,142,142,141,141,140,141,141,140,141,140,142,141,143,
143,143,145,144,146,146,146,147,146,147,147,145,146,144,145,144,143,143,141,142,141,139,140,138,
138,136,136,134,134,132,132,131,129,129,127,127,125,125,123,124,122,123,121,122,120,121,120,119,
120,118,119,118,119,118,117,118,117,117,117,116,116,116,115,116,116,115,116,116,117,118,118,119,
119,121,121,121,123,122,124,124,124,125,125,126,125,126,125,126,124,124,122,122,121,119,119,118,
118,116,117,117,117,117,118,119,120,121,120,123,123,125,125,126,127,128,129,128,130,130,132,131,
133,134,134,133,135,134,135,134,135,135,134,135,134,135,133,134,134,133,133,132,133,131,132,131,
132,132,131,133,132,133,134,133,134,133,134,133,134,133,132,132,131,130,130,129,129,128,128,127,
128,127,128,128,128,128,127,128,127,128,128,129,129,131,132,132,134,134,135,135,136,136,135,135,
135,132,133,130,130,128,128,125,126,123,123,121,122,120,120,119,119,118,118,119,118,117,118,117,
118,117,118,118,118,118,119,118,119,119,119,120,119,120,120,121,120,121,122,121,122,121,122,121,
122,123,122,123,123,125,124,126,127,127,128,128,130,130,131,130,131,131,130,130,129,129,128,126,
127,125,125,123,124,122,121,120,119,118,117,117,115,116,115,116,114,116,115,117,116,117,116,118,
117,119,119,119,120,119,120,120,120,119,119,117,117,115,115,114,113,113,111,111,110,111,110,109,
110,110,110,111,110,112,111,112,111,113,113,115,116,116,117,117,119,119,120,120,121,121,121,121,
120,121,121,119,121,119,120,121,120,121,121,123,123,125,125,127,127,130,130,133,134,135,136,137,
139,139,141,141,142,142,142,142,143,141,142,140,141,139,140,138,139,138,139,137,138,138,136,137,
136,137,136,137,136,138,138,138,139,139,141,141,142,143,143,144,144,145,144,144,143,143,143,141,
141,140,139,139,138,135,136,134,134,132,132,131,131,130,131,131,132,133,132,133,132,134,133,134,
133,134,134,133,134,133,133,133,132,133,132,132,131,131,131,129,129,129,128,128,128,128,130,130,
132,133,133,136,136,138,139,139,141,140,140,139,140,138,139,139,138,138,137,138,138,137,138,137,
138,138,136,137,135,136,135,136,135,136,135,135,134,134,134,133,134,133,135,136,135,137,137,139,
139,140,141,139,141,140,140,139,139,138,137,136,135,132,133,130,130,130,128,129,128,129,128,127,
126,126,124,124,122,123,123,123,123,123,122,123,122,122,120,120,118,117,115,113,113,109,108,105,
104,101,101, 99, 99, 98, 99, 99,101,101,103,104,105,106,107,109,110,111,111,113,113,112,113,111,
112,111,110,111,111,112,112,112,113,114,113,114,113,114,112,113,111,111,109,110,107,108,105,105,
104,103,101,102,101,103,102,105,106,107,109,111,111,113,113,114,115,115,115,114,115,113,114,112,
113,113,113,114,115,117,118,120,122,124,124,128,128,132,134,138,140,143,145,146,145,144,141,140,
137,135,135,132,132,131,132,130,132,132,134,134,136,137,136,138,136,137,135,135,133,130,129,127,
124,121,121,119,119,118,120,120,122,122,125,125,129,130,131,133,133,134,134,134,133,130,130,126,
125,124,123,124,124,125,126,126,129,130,133,135,137,139,141,142,144,143,144,144,143,140,140,137,
137,134,134,134,133,134,134,133,133,131,132,131,132,132,133,135,136,138,139,142,143,144,145,146,
147,147,146,147,146,146,146,144,145,144,144,146,147,150,151,154,155,158,159,159,160,159,159,157,
158,156,157,156,156,156,154,155,152,153,150,151,149,150,149,147,148,145,145,143,140,139,136,135,
134,134,134,133,134,134,133,132,132,131,131,131,132,132,133,132,133,132,131,129,127,124,122,119,
118,116,117,117,119,120,120,122,122,122,121,120,120,117,116,114,111,109,106,104,103,101,102,102,
105,107,108,112,112,115,114,114,112,111,109,107,104,102, 99, 98, 95, 94, 92, 88, 86, 81, 80, 77,
 77, 77, 77, 80, 83, 85, 90, 93, 98,101,106,109,112,114,118,120,122,125,125,127,126,127,127,127,
129,129,131,132,134,133,135,134,135,134,135,134,136,135,137,137,139,138,139,137,137,136,133,132,
129,129,126,126,124,124,122,123,123,123,121,121,118,118,115,113,111,107,105,101, 99, 95, 93, 90,
 88, 88, 87, 88, 88, 90, 91, 94, 97,100,102,106,109,114,117,119,123,125,128,129,131,132,134,135,
134,136,137,139,139,141,141,143,144,143,145,144,144,144,143,143,141,141,138,137,134,135,134,134,
135,135,136,137,137,139,139,141,142,144,145,148,148,150,150,149,151,149,149,148,146,146,145,145,
144,146,147,149,151,152,155,155,158,157,158,156,156,154,154,151,150,148,146,143,142,140,140,139,
140,139,139,138,136,134,134,131,130,127,125,121,119,116,112,110,107,106,102,101, 99, 99, 97, 98,
 97, 99,100,101,101,103,103,105,105,107,108,110,111,112,113,112,114,115,115,115,115,116,117,119,
120,121,123,123,125,126,128,128,130,131,133,135,135,136,137,137,138,137,137,136,135,134,132,131,
130,127,127,125,124,123,124,125,125,128,129,132,133,134,134,135,133,133,130,128,127,124,124,124,
125,126,128,131,133,137,141,144,150,153,158,162,164,167,168,169,168,168,167,165,166,164,165,164,
165,165,164,164,162,163,161,162,160,161,160,159,160,159,158,158,155,154,151,150,148,149,149,148,
150,149,150,150,149,149,147,146,143,142,139,138,136,136,135,133,133,132,133,133,134,137,138,139,
140,140,138,138,135,134,132,130,128,127,127,126,128,127,130,129,128,128,126,123,122,119,118,114,
113,109,107,103, 99, 97, 93, 89, 85, 82, 77, 76, 72, 71, 67, 67, 64, 65, 65, 66, 69, 71, 73, 77,
 78, 82, 83, 86, 88, 90, 91, 94, 95, 98,101,102,106,107,110,111,113,114,113,115,115,114,116,117,
119,121,123,123,126,126,128,128,127,128,126,126,124,123,120,118,115,114,112,109,109,107,106,105,
105,103,103,101,100, 97, 96, 94, 92, 90, 89, 87, 86, 84, 84, 82, 80, 79, 78, 77, 77, 78, 80, 81,
 83, 85, 88, 89, 93, 94, 99,100,103,104,107,106,108,107,108,109,109,110,111,112,113,116,117,119,
120,124,125,128,130,130,132,133,132,133,133,134,132,133,131,131,129,126,126,125,126,126,128,129,
132,133,136,137,139,140,142,142,144,144,145,146,146,149,149,151,152,155,156,160,162,166,168,171,
172,173,173,173,172,169,167,163,162,159,157,155,152,152,150,150,148,148,146,148,148,149,149,149,
150,150,150,149,149,151,150,150,148,148,146,143,140,137,132,128,123,119,115,110,109,105,104,103,
101,102,102,105,106,110,113,117,123,128,134,140,145,151,154,160,163,167,169,171,172,173,173,172,
170,168,166,163,162,159,158,155,154,152,149,146,144,140,138,135,135,134,136,138,142,146,152,157,
161,168,172,178,180,184,185,186,183,180,177,169,163,154,147,137,131,124,120,114,111,109,107,108,
108,109,113,115,120,125,132,139,145,151,158,163,168,172,174,178,180,184,185,187,187,186,184,180,
175,168,161,154,146,138,132,124,119,113,109,108,106,104,105,106,110,114,119,124,129,134,136,141,
143,147,149,151,154,157,159,162,162,162,160,157,152,146,139,132,123,116,108,102, 95, 91, 85, 83,
 79, 79, 78, 81, 82, 86, 89, 95, 99,105,110,114,119,122,125,128,129,131,130,127,124,118,113,105,
 98, 89, 81, 72, 65, 58, 52, 47, 42, 41, 37, 37, 36, 38, 38, 42, 44, 49, 53, 60, 66, 71, 79, 85,
 93, 99,106,110,115,118,121,121,122,120,120,115,114,109,107,102,101, 99, 98, 97, 96, 96, 96, 96,
 97, 99,101,105,108,112,115,121,123,128,131,132,135,137,138,139,138,137,135,129,126,119,115,109,
102, 97, 89, 84, 77, 72, 66, 63, 59, 57, 54, 56, 56, 59, 61, 67, 72, 77, 85, 90, 98,103,110,114,
120,124,128,132,134,135,135,134,133,130,126,123,118,115,111,109,109,108,107,108,108,110,112,113,
117,120,122,127,128,133,135,138,141,145,146,151,152,156,158,159,160,159,158,155,152,148,144,139,
134,130,127,125,124,124,124,126,128,133,137,142,148,154,161,167,173,179,183,188,190,193,195,197,
197,198,197,196,193,190,186,181,175,169,163,155,150,143,138,132,126,123,118,117,114,113,114,115,
116,120,122,127,130,136,139,144,148,150,155,156,159,159,158,157,154,151,146,141,135,131,127,123,
119,117,114,113,111,109,110,109,110,112,112,117,120,127,133,139,146,152,159,166,171,177,181,184,
185,185,183,180,175,169,163,154,146,140,132,127,122,118,117,115,116,116,117,119,120,124,126,131,
134,140,143,148,151,157,160,164,166,169,170,172,173,172,173,171,169,167,163,160,156,151,148,142,
139,135,132,129,128,128,128,129,132,134,139,144,148,154,158,164,166,171,172,175,175,174,175,174,
174,173,173,170,169,166,162,159,154,150,143,139,132,128,123,119,117,116,115,118,119,124,127,132,
136,139,143,146,150,152,154,155,154,154,152,151,147,144,139,134,127,122,115,108,101, 94, 90, 84,
 81, 77, 76, 75, 75, 78, 78, 82, 83, 86, 86, 89, 90, 90, 92, 92, 93, 93, 94, 93, 93, 91, 91, 87,
 85, 80, 78, 73, 68, 62, 58, 53, 47, 45, 41, 41, 40, 42, 42, 46, 47, 52, 55, 62, 65, 72, 78, 83,
 89, 95, 99,105,109,114,118,122,124,127,127,127,125,122,119,114,111,106,102, 96, 93, 89, 87, 84,
 82, 82, 80, 82, 82, 86, 87, 92, 94, 99,102,107,111,116,118,122,124,124,125,123,122,120,115,112,
106,101, 96, 90, 84, 80, 74, 71, 68, 64, 64, 63, 65, 66, 69, 72, 77, 81, 86, 91, 95,102,106,113,
116,121,124,129,132,136,138,141,141,142,144,142,142,139,136,132,127,123,119,115,110,108,105,105,
105,106,109,112,116,120,125,129,136,141,146,149,154,157,161,163,166,168,170,171,172,172,171,169,
169,166,164,160,159,155,153,149,147,145,145,144,146,147,150,152,154,158,162,167,171,176,180,184,
187,191,193,196,197,196,196,193,191,187,184,178,174,167,160,154,148,142,139,134,132,129,128,127,
128,128,127,129,130,132,133,137,139,143,146,150,153,157,161,163,164,166,165,165,163,161,158,153,
149,144,139,135,130,128,125,125,124,127,128,133,135,138,142,146,149,153,155,159,161,165,167,171,
174,176,179,180,181,180,181,178,177,175,170,168,162,159,152,148,141,137,131,128,124,120,119,118,
119,120,121,125,127,133,137,144,149,155,161,164,168,169,171,170,171,170,167,165,164,160,159,155,
154,152,149,146,142,139,135,132,130,127,127,125,127,129,132,136,139,145,149,154,158,162,164,166,
166,167,165,163,159,156,151,146,141,135,131,126,120,115,110,105,102, 97, 95, 92, 89, 90, 89, 91,
 93, 95, 99,101,103,107,108,111,113,116,116,118,118,120,119,120,118,118,116,115,113,108,104, 98,
 92, 84, 78, 71, 64, 59, 53, 50, 47, 45, 44, 44, 43, 45, 45, 47, 49, 50, 53, 54, 56, 57, 60, 61,
 64, 65, 68, 67, 69, 69, 68, 67, 66, 63, 62, 59, 57, 54, 53, 51, 51, 52, 53, 55, 57, 60, 65, 70,
 74, 81, 85, 92, 97,104,110,115,121,125,128,131,132,134,132,132,129,127,124,120,115,112,107,103,
 98, 95, 92, 89, 86, 84, 83, 82, 82, 83, 85, 85, 88, 89, 93, 96, 98,101,103,107,109,113,114,117,
118,119,120,120,121,120,119,117,116,112,109,107,103,102, 99, 97, 97, 98, 98,101,103,108,112,118,
123,129,135,141,147,151,155,161,163,167,167,169,168,169,168,167,165,162,161,157,154,151,147,143,
140,136,134,131,131,131,131,133,135,139,141,146,151,156,162,168,173,180,185,189,194,196,199,200,
202,203,202,200,199,196,194,189,186,180,177,173,169,165,163,160,160,159,160,160,161,161,163,163,
164,165,165,168,169,172,173,175,176,177,176,176,173,171,168,163,159,152,147,140,135,129,122,118,
113,109,108,107,108,109,112,114,117,119,123,125,129,131,133,137,139,144,147,151,154,158,160,162,
162,164,162,162,159,157,154,150,146,141,137,133,129,126,124,122,122,122,122,125,127,131,133,138,
142,147,151,157,160,165,166,169,169,169,167,165,160,157,152,148,143,140,136,133,130,127,126,123,
122,120,119,117,118,117,119,119,123,126,131,135,142,147,152,158,163,166,167,169,170,169,169,165,
163,160,156,153,148,146,142,140,137,135,131,130,127,125,123,122,120,121,121,122,123,126,127,130,
131,135,136,139,140,142,142,144,143,142,141,139,137,134,132,127,124,119,112,107,101, 97, 92, 87,
 85, 82, 82, 82, 81, 84, 87, 89, 94, 97,103,106,111,113,116,117,120,119,121,119,119,116,113,110,
105,102, 97, 90, 85, 77, 72, 64, 59, 53, 49, 44, 42, 39, 39, 39, 41, 42, 45, 47, 51, 54, 59, 62,
 68, 72, 75, 80, 83, 88, 89, 92, 92, 93, 91, 91, 89, 88, 85, 82, 81, 80, 78, 78, 76, 77, 76, 78,
 79, 80, 83, 86, 88, 93, 96,101,104,109,113,119,123,128,131,135,137,138,140,138,138,136,134,130,
125,119,115,109,103, 97, 91, 84, 80, 74, 71, 68, 67, 67, 67, 69, 71, 73, 79, 83, 87, 93, 97,102,
107,110,116,118,122,124,125,126,126,127,127,125,126,124,124,121,121,119,119,118,116,117,116,119,
119,122,123,128,131,134,139,143,149,153,157,162,165,169,170,172,172,172,171,168,167,163,161,156,
153,149,146,142,139,135,133,131,131,130,132,134,137,141,144,149,152,158,163,167,171,176,180,185,
189,192,197,199,202,203,203,203,201,199,196,191,187,180,176,170,164,161,155,152,148,147,144,145,
145,145,147,148,149,151,151,152,151,152,152,153,152,153,154,153,153,153,152,149,148,144,141,136,
132,129,124,121,117,116,113,114,113,115,119,121,127,131,138,143,150,156,162,168,174,177,183,185,
189,189,190,188,188,183,180,174,170,163,159,154,150,145,141,140,137,138,136,137,138,137,137,137,
138,138,139,142,144,147,150,153,158,161,163,167,168,170,169,169,167,164,160,156,151,147,144,139,
138,135,135,133,134,134,133,134,134,136,136,138,139,141,143,144,148,150,154,156,159,160,163,162,
163,161,160,157,152,149,144,138,134,128,123,117,112,107,103,100, 96, 93, 92, 90, 91, 92, 95, 99,
103,107,112,116,122,125,129,132,134,134,134,133,131,128,124,121,116,112,106,101, 97, 91, 87, 82,
 78, 74, 72, 68, 66, 65, 63, 65, 66, 67, 69, 72, 74, 77, 81, 83, 87, 89, 91, 91, 93, 92, 93, 90,
 90, 87, 84, 79, 75, 70, 64, 59, 53, 49, 43, 40, 36, 34, 31, 32, 32, 32, 35, 37, 41, 45, 48, 54,
 59, 64, 70, 75, 82, 86, 93, 97,103,106,110,111,113,112,112,111,107,105,101, 96, 93, 90, 86, 84,
 82, 79, 79, 79, 79, 81, 82, 87, 91, 94,100,105,111,117,121,127,131,136,139,141,143,144,144,141,
140,136,132,128,122,118,112,108,103, 98, 95, 90, 88, 85, 84, 82, 82, 82, 82, 85, 88, 91, 96,100,
107,113,120,126,132,139,145,149,154,156,160,160,162,160,160,157,155,151,150,146,145,142,140,140,
138,138,138,139,138,141,143,147,149,154,157,162,165,169,173,175,179,180,183,183,185,186,186,186,
185,183,180,177,173,168,165,161,158,154,152,149,149,148,149,149,151,155,158,164,168,175,179,185,
190,193,198,200,203,203,206,206,205,206,204,203,201,198,195,190,186,181,175,168,161,155,149,144,
138,135,130,129,127,128,129,129,132,134,137,138,141,142,144,144,146,145,144,144,142,141,139,135,
134,130,127,124,121,118,116,115,114,114,115,117,121,123,127,131,132,136,138,140,143,145,149,151,
156,158,163,166,169,173,175,178,179,177,176,171,167,162,154,149,141,136,129,126,120,118,116,113,
113,111,112,111,113,113,115,115,117,119,121,125,128,133,138,141,146,149,153,154,156,155,155,152,
151,148,144,141,138,134,133,130,129,127,127,125,126,126,128,129,129,132,134,137,140,141,145,145,
148,148,149,149,147,146,142,139,134,131,126,121,118,113,110,106,104,100, 99, 97, 95, 93, 92, 90,
 90, 89, 90, 90, 93, 94, 98,100,105,108,111,115,118,120,123,124,126,127,126,127,126,124,122,118,
116,111,108,103,100, 95, 92, 87, 84, 80, 78, 76, 72, 72, 70, 68, 68, 67, 67, 66, 68, 68, 67, 69,
 68, 70, 70, 72, 71, 72, 70, 71, 68, 68, 65, 64, 62, 60, 59, 57, 58, 58, 59, 60, 62, 63, 67, 70,
 75, 79, 83, 89, 94, 99,104,109,113,116,120,123,127,129,129,131,130,130,128,126,123,120,116,113,
109,107,103,102, 98, 97, 94, 94, 92, 92, 91, 89, 90, 91, 91, 93, 94, 97, 99,103,105,108,110,114,
117,118,122,121,123,121,121,117,115,111,109,105,103,100,100, 98, 99,100,100,103,104,106,109,111,
113,117,120,125,129,132,137,140,144,147,150,152,155,155,157,157,158,158,155,155,151,149,144,142,
139,135,133,130,128,126,126,124,125,126,127,130,133,138,143,148,154,159,164,170,173,179,181,185,
185,188,187,189,188,186,186,183,183,180,177,175,171,169,165,163,159,157,153,152,149,149,150,150,
153,156,158,162,165,169,173,176,178,180,182,182,183,182,179,178,176,172,171,169,165,163,159,155,
152,149,145,143,140,139,137,135,136,134,135,134,135,135,136,137,137,139,139,142,145,147,151,154,
158,161,163,164,165,163,161,158,153,150,145,141,137,134,132,131,130,131,133,135,137,141,144,148,
150,155,157,160,163,166,168,171,174,176,180,181,183,183,183,180,179,175,170,165,158,152,146,140,
136,130,127,123,121,118,118,117,119,119,121,122,125,126,129,132,135,139,142,145,149,151,154,154,
155,154,155,153,152,149,149,147,144,144,141,141,140,137,137,135,134,133,131,128,127,125,126,126,
125,127,128,131,132,135,136,138,139,139,139,137,136,132,129,123,119,114,108,103, 97, 92, 86, 82,
 77, 74, 70, 68, 65, 65, 64, 65, 66, 69, 70, 74, 78, 80, 86, 89, 95, 99,102,106,108,112,114,114,
116,114,113,109,106,102, 96, 91, 84, 80, 74, 68, 63, 57, 54, 49, 47, 43, 42, 41, 40, 40, 40, 41,
 41, 43, 44, 47, 48, 51, 54, 56, 60, 62, 64, 66, 67, 67, 69, 68, 69, 69, 69, 69, 68, 69, 70, 71,
 72, 73, 74, 78, 79, 83, 85, 88, 93, 96,102,106,112,116,121,127,131,136,139,143,146,146,147,146,
143,141,136,132,125,121,114,109,103, 98, 94, 90, 88, 85, 84, 82, 81, 81, 80, 81, 82, 83, 85, 87,
 90, 94, 98,102,107,110,116,120,124,128,130,134,137,137,139,139,140,139,139,139,138,138,138,136,
137,136,138,138,140,141,144,147,148,152,154,159,161,165,167,169,171,171,172,170,170,167,166,162,
159,155,153,149,147,145,143,142,139,139,137,137,135,137,137,140,142,146,150,156,161,167,174,180,
186,193,198,203,208,209,212,211,212,209,207,205,202,200,196,194,190,186,181,178,173,168,165,161,
157,155,152,150,149,148,147,148,147,148,149,149,151,152,154,155,158,158,161,161,162,162,159,158,
154,149,145,139,135,129,124,119,115,112,111,111,113,115,120,124,127,133,136,141,143,147,150,151,
153,153,156,156,158,159,159,159,158,158,155,153,150,146,142,136,133,127,124,120,118,115,115,115,
117,118,121,124,126,130,132,136,138,142,144,149,151,155,156,159,160,161,161,161,159,156,155,152,
149,144,141,137,134,131,127,126,124,122,120,120,119,118,118,116,118,118,121,124,126,131,135,139,
144,147,152,154,155,156,155,154,150,148,144,139,136,131,128,123,121,118,115,114,112,113,113,113,
115,116,119,121,124,125,129,130,134,135,138,139,139,140,138,138,137,134,132,128,123,119,115,108,
104, 97, 93, 88, 84, 81, 77, 76, 74, 75, 75, 75, 78, 80, 83, 86, 88, 91, 96, 98,102,105,108,110,
112,112,113,111,112,109,108,104,102, 98, 93, 89, 83, 80, 74, 71, 66, 64, 61, 57, 57, 56, 55, 54,
 56, 56, 59, 61, 64, 67, 70, 75, 78, 83, 86, 91, 94, 97, 99,100,101,100,101, 99, 98, 95, 94, 92,
 88, 87, 84, 84, 84, 83, 86, 88, 92, 95, 99,102,107,110,115,117,121,125,128,131,133,137,138,142,
142,144,143,140,139,135,131,127,122,117,111,104, 99, 92, 86, 81, 75, 73, 70, 67, 67, 67, 69, 70,
 73, 76, 80, 85, 91, 95,102,107,113,118,123,127,132,134,137,138,140,140,140,139,140,139,139,139,
139,139,139,141,139,141,140,139,140,140,141,142,143,143,146,146,150,151,155,157,160,161,164,164,
163,161,160,156,154,150,148,146,142,141,138,138,136,137,137,137,137,139,139,142,143,146,148,152,
155,161,167,171,178,182,188,192,197,199,203,205,205,207,205,205,203,201,196,193,187,181,174,168,
161,155,150,144,141,138,135,135,135,135,137,137,140,140,143,142,143,141,142,139,139,137,135,135,
134,135,134,135,135,136,136,136,135,136,134,134,133,133,132,131,133,134,138,140,144,147,152,154,
159,162,165,168,171,171,174,175,176,175,176,174,174,171,170,167,165,162,157,154,148,144,139,136,
132,129,125,124,121,121,120,121,121,122,123,125,127,130,133,138,141,146,151,154,159,161,164,165,
164,165,162,161,157,155,150,148,143,141,138,137,135,135,134,135,136,136,138,137,139,138,140,139,
141,141,141,142,141,142,141,141,139,138,137,134,133,130,128,125,123,120,118,115,113,110,108,105,
105,103,103,103,102,104,104,106,107,109,110,113,115,118,119,122,122,124,124,125,124,124,122,121,
119,117,114,112,109,105,102, 98, 94, 91, 87, 85, 81, 78, 75, 74, 72, 71, 69, 70, 69, 69, 70, 70,
 71, 72, 74, 75, 77, 79, 79, 79, 79, 78, 77, 77, 75, 74, 71, 70, 68, 67, 64, 63, 61, 61, 60, 61,
 61, 63, 64, 67, 69, 73, 76, 79, 81, 85, 86, 90, 91, 94, 96, 98,101,102,105,106,106,108,107,109,
109,107,107,106,103,102,100, 99, 96, 96, 94, 94, 95, 94, 97, 97,100,102,103,106,109,111,115,117,
121,122,124,124,126,126,126,125,125,123,121,119,116,113,110,108,104,103,101,101,100, 98, 99, 99,
 98, 99, 99,101,102,104,105,109,111,115,118,123,128,133,138,143,148,152,153,157,157,159,158,158,
156,155,153,152,150,150,148,149,149,148,149,149,148,149,148,149,149,149,151,151,154,157,159,163,
165,169,171,174,174,176,177,175,176,173,173,170,170,166,165,162,161,157,156,153,153,151,152,152,
152,154,156,157,162,165,168,173,176,179,182,183,185,186,184,185,183,183,182,181,181,180,178,179,
176,176,172,171,166,163,158,150,146,139,135,130,125,123,120,119,118,119,120,122,123,126,128,129,
131,132,134,135,135,137,138,139,139,140,139,140,139,139,138,138,136,135,135,132,133,132,134,134,
136,137,140,142,146,149,150,154,156,160,161,164,165,168,167,168,167,167,163,161,157,154,149,143,
139,133,129,123,120,116,115,112,112,111,111,111,113,113,115,115,118,120,121,124,126,130,132,134,
138,141,144,146,149,151,153,154,155,155,156,155,155,154,152,149,147,143,142,138,137,133,132,130,
129,127,127,126,127,128,128,130,130,132,133,133,135,134,135,134,134,131,130,127,125,122,119,117,
113,110,107,105,101, 99, 96, 95, 93, 94, 93, 95, 97, 98,100,104,106,111,115,118,122,125,129,131,
134,135,135,136,134,133,129,127,123,118,115,109,106,100, 96, 91, 86, 82, 77, 74, 71, 67, 66, 64,
 63, 63, 62, 63, 63, 64, 65, 65, 68, 69, 72, 74, 77, 79, 82, 83, 87, 89, 91, 92, 94, 93, 95, 93,
 94, 93, 91, 92, 91, 91, 91, 92, 92, 94, 94, 97,100,103,105,109,112,116,118,121,122,125,125,127,
126,127,126,126,123,123,119,118,115,111,109,105,104,100, 98, 94, 93, 90, 90, 87, 88, 87, 86, 87,
 87, 87, 90, 92, 94, 98,100,105,107,112,115,119,121,124,125,126,127,126,124,123,120,118,115,114,
112,112,111,111,111,112,112,114,113,116,115,118,118,120,122,123,127,129,133,136,139,141,144,145,
145,146,144,144,143,140,139,137,136,133,133,132,130,131,130,131,131,133,134,134,137,140,142,147,
150,155,158,162,166,168,171,172,174,174,175,174,174,173,173,171,171,168,168,166,165,162,161,157,
155,151,148,143,141,137,136,133,134,134,137,139,144,147,152,156,160,163,166,168,168,169,168,167,
166,163,161,157,156,153,149,147,143,141,137,135,132,130,126,125,123,123,123,123,125,127,130,132,
136,139,141,145,147,150,151,153,155,155,156,155,156,155,153,153,152,150,148,145,144,141,141,139,
140,140,140,142,143,146,147,151,152,156,158,159,162,162,165,165,167,167,168,170,170,171,169,170,
167,166,163,161,157,154,150,146,141,136,133,129,125,121,120,117,117,116,118,119,122,125,129,134,
138,142,146,149,153,155,159,160,162,162,161,161,159,157,154,153,151,148,145,143,140,138,134,133,
130,130,128,128,126,128,127,129,130,131,131,134,134,136,135,137,136,136,134,134,131,129,125,123,
118,115,110,107,102, 99, 96, 94, 91, 90, 88, 87, 85, 85, 86, 86, 88, 89, 92, 94, 98,101,105,107,
111,113,116,117,119,119,120,119,117,116,113,112,107,105,101, 95, 92, 85, 81, 75, 69, 66, 61, 58,
 55, 52, 51, 49, 50, 51, 52, 56, 59, 62, 67, 70, 74, 77, 81, 83, 86, 88, 89, 91, 91, 93, 92, 93,
 93, 93, 93, 91, 92, 90, 91, 91, 91, 92, 91, 93, 95, 96, 98,101,102,106,108,112,115,117,121,123,
126,127,129,129,131,131,129,129,126,125,122,117,114,108,104, 99, 93, 89, 84, 82, 78, 77, 75, 76,
 76, 78, 79, 83, 84, 88, 90, 93, 98,100,105,109,114,118,123,127,132,134,138,140,142,142,143,142,
142,140,139,138,135,135,133,133,132,133,132,133,132,133,133,135,135,137,139,139,142,144,145,147,
147,150,150,151,149,150,148,149,147,147,145,145,145,143,144,144,143,144,144,144,143,144,143,144,
144,146,147,151,155,158,164,169,173,179,182,187,188,191,191,190,189,186,184,179,176,172,167,165,
160,159,156,152,151,148,147,145,142,141,138,138,136,136,136,137,137,139,140,140,143,143,146,145,
147,146,145,146,145,143,143,141,141,139,139,137,137,135,135,134,134,132,133,131,133,132,134,133,
136,136,139,141,142,143,145,145,146,147,147,149,148,151,150,152,150,151,150,150,149,147,145,143,
140,136,135,131,130,127,126,123,124,122,124,124,128,129,133,136,139,143,145,149,152,152,155,155,
156,155,156,155,153,150,149,145,143,140,138,135,135,132,131,129,129,127,127,126,127,127,127,128,
128,130,130,133,135,135,137,139,140,141,141,141,142,142,142,141,141,140,139,136,135,134,131,131,
129,129,128,128,127,125,126,124,125,124,125,124,126,125,127,126,128,127,129,130,129,130,129,130,
127,127,125,123,122,120,117,116,113,111,108,106,104,100, 99, 96, 96, 93, 93, 92, 93, 92, 94, 94,
 97, 98,101,102,105,106,109,109,111,111,111,109,109,107,105,103,100, 99, 95, 94, 91, 90, 87, 86,
 83, 82, 81, 78, 79, 76, 77, 77, 77, 77, 79, 79, 82, 83, 86, 88, 91, 93, 94, 97, 98,101,101,104,
104,105,105,106,104,105,104,105,103,104,102,103,102,102,102,103,103,106,107,110,112,115,117,119,
121,121,123,122,123,123,123,122,123,123,121,121,119,119,116,116,113,109,107,103,100, 97, 93, 91,
 89, 87, 87, 87, 87, 88, 89, 91, 94, 96, 98,102,105,108,111,114,118,122,125,128,132,134,137,140,
140,142,142,143,143,142,142,142,140,140,139,137,138,135,135,133,133,131,131,130,130,129,130,131,
131,134,135,139,141,143,146,148,147,149,147,148,146,144,143,140,139,137,138,137,138,138,140,142,
142,144,145,146,148,148,148,150,151,153,154,155,158,160,163,165,168,170,171,172,173,173,173,172,
171,170,166,165,162,159,157,153,151,148,145,141,139,134,133,129,128,125,125,123,125,124,125,126,
127,128,130,130,132,133,136,137,139,141,143,144,146,147,149,148,149,150,149,149,147,146,147,145,
145,144,144,145,145,147,148,150,153,155,156,159,160,162,163,163,164,165,163,163,160,160,156,156,
152,152,148,147,145,142,141,138,138,136,136,133,134,133,133,131,132,132,132,134,134,137,138,141,
142,146,147,150,151,155,156,157,159,160,161,160,160,160,157,157,154,154,151,149,147,145,142,141,
138,137,135,134,134,131,132,131,129,130,130,130,131,131,133,135,134,136,134,136,134,134,132,132,
130,129,126,125,123,121,119,118,115,114,111,111,109,109,110,108,110,110,112,112,115,115,118,118,
121,121,123,123,124,124,121,122,119,118,115,114,112,108,107,103,101, 98, 96, 93, 89, 87, 84, 82,
 79, 78, 75, 75, 73, 74, 73, 74, 74, 77, 78, 79, 82, 83, 86, 88, 89, 92, 92, 94, 94, 94, 95, 94,
 95, 94, 95, 94, 92, 93, 91, 91, 89, 89, 89, 89, 89, 90, 91, 92, 94, 95, 96, 98, 98,100,101,103,
104,104,106,106,108,108,109,112,111,113,112,113,112,112,110,109,106,104,103, 99, 99, 96, 97, 96,
 98, 98,100,100,103,103,106,108,108,111,111,115,116,117,119,119,121,122,121,122,121,122,120,119,
119,116,116,113,113,110,111,109,110,109,108,110,109,112,112,114,115,119,121,123,127,131,133,137,
139,143,145,148,148,150,150,148,148,146,146,145,143,144,142,143,142,143,143,144,145,145,146,145,
146,145,145,145,146,145,147,147,150,151,154,157,159,162,163,164,166,166,165,165,162,162,160,156,
155,152,151,148,148,145,145,142,143,141,142,143,143,145,146,149,150,152,155,158,159,163,163,166,
165,167,165,166,164,164,162,161,158,157,153,150,146,144,139,136,132,130,126,124,122,121,120,121,
120,122,123,124,127,128,131,132,135,135,138,138,140,139,140,139,140,139,140,139,141,141,140,141,
141,140,141,140,141,140,142,141,143,142,143,142,143,143,143,145,146,146,148,149,149,151,150,152,
151,152,151,150,148,147,144,140,139,135,133,129,128,123,122,118,118,116,115,116,115,117,117,120,
121,123,126,127,131,133,137,140,141,146,147,150,150,153,153,153,153,152,152,149,149,146,144,142,
139,137,135,133,131,129,129,127,128,127,128,127,128,129,128,130,130,131,131,132,131,131,130,128,
128,125,124,122,121,118,117,115,114,113,111,111,110,110,109,110,110,111,110,112,112,114,114,116,
118,119,122,123,125,126,128,130,129,131,129,130,129,126,125,121,119,115,112,108,105,101, 97, 92,
 90, 85, 84, 80, 79, 77, 76, 76, 75, 76, 78, 78, 81, 82, 85, 86, 89, 91, 94, 95, 98, 99,102,103,
105,106,108,108,110,111,112,110,111,109,109,107,107,104,104,103,104,103,105,106,108,110,113,115,
116,118,119,121,122,122,121,122,121,121,120,118,117,115,114,113,111,109,107,103,102, 99, 96, 95,
 93, 93, 93, 92, 92, 93, 95, 96, 97,100,102,103,106,107,111,112,116,119,121,123,126,127,128,129,
130,130,130,129,128,127,124,124,122,122,120,121,120,121,121,122,122,123,123,121,122,122,121,122,
121,123,123,126,127,129,130,134,134,138,138,140,139,140,139,139,137,137,136,133,134,133,132,134,
134,136,137,140,141,144,145,148,150,151,154,155,158,159,160,161,162,161,161,160,159,157,156,155,
152,152,150,147,147,144,144,142,141,139,139,138,137,137,136,137,137,138,138,139,140,141,142,144,
144,147,147,148,149,148,149,148,148,148,146,147,145,146,144,145,143,143,141,141,140,139,138,138,
138,137,137,135,135,136,135,136,136,137,137,140,140,142,142,145,145,148,147,149,148,150,149,148,
148,145,145,144,141,142,140,140,138,139,140,140,141,143,144,146,148,149,150,153,153,155,156,156,
155,156,155,155,155,154,153,152,151,150,147,147,143,143,140,139,137,135,134,133,131,131,131,130,
130,131,131,132,133,133,135,135,137,137,139,139,141,142,142,144,143,144,143,145,143,144,142,143,
141,141,140,138,138,136,136,134,134,132,132,130,130,129,127,126,126,125,124,123,122,122,121,122,
120,121,120,120,118,119,116,117,114,114,112,109,108,106,105,104,102,102,100,101,100,101,101,102,
103,102,104,105,105,107,108,108,109,109,110,110,110,109,108,106,106,104,103,101, 98, 98, 95, 94,
 91, 90, 88, 87, 84, 83, 80, 79, 78, 75, 75, 74, 75, 75, 77, 78, 81, 82, 85, 85, 89, 89, 92, 92,
 94, 94, 95, 96, 96, 98, 97,100,100,103,103,105,106,108,109,108,110,110,111,112,112,113,114,113,
115,115,117,117,117,118,117,119,117,119,117,118,117,118,117,117,114,115,113,113,110,110,107,106,
103,102,100, 99, 97, 98, 97, 98, 99,101,102,104,106,108,111,112,114,116,118,119,122,124,127,131,
134,136,140,142,145,146,148,148,149,148,148,145,144,141,141,139,137,137,135,135,137,136,138,138,
138,139,138,140,140,139,140,139,140,140,141,141,142,142,143,143,144,144,146,146,148,148,149,151,
151,153,154,154,154,155,155,155,155,156,156,156,156,157,157,158,157,159,160,160,161,162,163,163,
163,162,162,161,159,159,157,157,155,152,152,148,148,145,142,139,139,135,134,131,131,128,128,126,
127,126,127,127,129,130,131,134,134,137,138,141,142,143,145,145,146,145,146,144,144,142,143,141,
141,139,140,138,139,138,140,138,140,140,141,141,142,142,142,142,141,142,140,141,138,140,138,139,
137,139,137,139,138,139,138,138,137,137,136,136,134,134,133,133,133,131,132,130,132,132,131,133,
132,134,134,136,136,138,138,141,140,143,143,145,145,147,145,147,145,146,144,144,142,140,139,137,
135,134,132,131,130,129,128,126,126,124,125,124,123,124,124,124,126,127,127,130,129,132,131,133,
133,134,133,134,132,133,132,129,129,127,127,125,125,123,124,122,123,122,121,122,121,121,121,119,
120,119,119,120,118,119,118,119,117,119,118,119,117,118,116,116,115,113,113,112,110,109,108,106,
105,102,100, 99, 97, 95, 95, 93, 94, 94, 95, 96, 96, 98, 98,101,101,102,103,103,104,103,103,102,
103,103,102,103,102,103,103,101,102,101,100,100, 99, 96, 96, 94, 94, 93, 93, 93, 94, 93, 95, 95,
 97, 98,100,102,102,105,105,108,108,111,111,113,113,115,115,116,117,115,116,115,115,113,114,112,
113,111,112,112,112,114,113,115,116,115,116,117,115,116,115,116,116,115,116,116,117,118,118,118,
118,118,117,116,115,112,111,108,108,105,105,104,105,104,106,107,110,112,114,115,118,119,122,125,
125,128,128,131,132,133,135,137,139,141,141,143,143,145,144,145,144,144,143,143,141,140,140,136,
136,135,133,133,131,132,131,131,132,133,132,135,135,138,139,142,142,145,146,146,148,147,148,147,
147,147,146,146,145,143,144,142,143,141,142,142,142,142,143,142,144,144,146,147,149,149,151,152,
154,155,157,157,158,159,158,158,156,157,155,153,151,149,146,143,141,138,135,133,131,129,127,127,
125,125,125,125,125,126,127,127,127,129,129,131,131,134,135,136,138,139,141,143,145,147,148,151,
151,153,154,153,154,152,153,150,151,149,149,146,147,146,145,146,145,146,146,147,147,149,148,150,
150,152,152,151,152,151,151,150,149,148,146,144,143,141,139,137,134,133,131,130,130,128,129,128,
130,130,131,133,133,136,138,139,141,143,145,147,149,151,151,154,153,155,155,154,154,153,152,151,
148,147,144,141,140,137,134,133,131,130,128,128,126,126,124,125,124,123,123,122,123,122,123,123,
123,123,124,125,124,126,125,126,126,124,125,123,122,121,120,119,118,117,115,115,114,112,113,111,
112,112,112,112,113,114,115,116,118,119,120,121,121,120,120,118,118,115,113,111,108,105,103,100,
 98, 96, 94, 91, 90, 86, 86, 82, 82, 79, 79, 77, 76, 77, 76, 78, 78, 81, 81, 85, 87, 89, 93, 94,
 97,100,101,103,104,106,106,107,107,108,108,106,107,106,106,104,104,102,103,101,102,101,102,101,
103,103,105,104,106,106,108,108,109,109,110,110,111,111,112,112,112,114,114,115,114,114,114,112,
112,110,108,107,105,105,105,104,104,105,106,108,110,111,114,115,118,118,120,120,121,121,123,124,
123,125,125,127,127,129,128,129,129,129,129,127,128,126,126,123,124,121,122,120,121,119,120,120,
121,123,122,125,126,129,130,134,136,137,140,141,143,144,146,146,147,147,146,147,146,145,146,145,
146,146,145,146,146,147,147,148,149,149,149,150,150,151,151,152,152,154,153,155,155,155,156,155,
155,154,154,153,153,152,150,150,148,147,145,145,144,143,143,141,143,142,143,142,144,143,145,144,
145,146,146,148,147,148,147,149,149,149,148,150,149,149,149,148,149,147,147,145,146,143,143,140,
138,136,134,132,130,129,127,127,125,126,126,127,127,129,130,130,133,133,136,136,138,138,140,140,
141,140,142,142,141,141,140,141,140,140,139,139,138,139,138,139,138,140,139,140,140,141,141,140,
141,140,141,140,140,140,138,139,137,138,136,137,135,135,133,133,133,130,131,129,127,127,125,125,
125,124,125,124,125,124,126,127,126,128,128,130,130,132,132,134,135,135,137,138,138,140,140,142,
141,142,141,142,140,140,138,137,135,134,133,130,129,127,125,124,122,122,121,119,119,118,119,118,
119,118,119,118,119,118,119,120,118,119,117,117,116,114,114,113,113,112,113,112,113,113,115,114,
116,115,117,117,117,117,117,116,116,115,116,115,116,116,117,117,116,118,116,117,116,114,113,111,
110,108,105,104,101, 98, 98, 95, 95, 93, 93, 91, 91, 91, 90, 90, 90, 91, 92, 93, 94, 95, 97, 99,
 99,101,104,105,107,108,110,111,113,114,116,118,118,120,120,122,121,122,122,122,122,121,121,120,
119,118,119,118,118,118,119,120,119,121,121,122,121,122,121,120,119,117,117,116,116,114,115,114,
113,113,112,113,113,111,112,110,111,109,110,109,109,109,110,109,111,112,114,115,118,120,123,124,
127,129,131,132,135,135,137,137,138,138,137,138,137,135,135,133,133,131,131,129,129,126,127,126,
126,125,125,123,124,124,123,124,123,123,124,124,126,127,129,130,132,133,136,137,138,141,141,143,
143,144,146,145,146,146,147,145,147,146,147,146,146,147,148,147,148,147,148,147,148,148,148,148,
149,148,149,149,148,149,149,148,149,148,146,146,144,144,142,141,139,137,135,134,132,129,129,127,
126,126,125,126,126,128,128,131,132,133,135,136,139,139,141,143,143,143,144,144,144,143,144,143,
143,142,142,142,142,140,141,139,138,138,137,137,135,135,135,134,133,133,131,132,132,132,132,133,
133,133,134,134,136,137,137,139,139,140,141,140,142,141,142,141,142,140,141,139,140,139,139,138,
139,139,139,139,139,139,140,139,140,141,141,142,141,143,142,144,143,145,145,145,144,144,143,142,
141,139,138,135,133,132,130,129,127,126,125,125,124,124,124,124,125,125,126,127,128,129,130,131,
133,134,135,136,136,136,137,136,136,135,135,135,134,133,133,132,132,131,131,129,129,127,125,124,
121,120,117,117,114,115,112,114,113,114,113,115,114,116,116,116,118,116,117,115,116,114,113,112,
110,110,108,108,107,105,105,103,103,102,102,101,100,100, 99,100, 99,101,101,102,102,104,103,105,
106,105,106,105,107,105,107,105,106,104,104,104,102,101,100, 99, 97, 97, 96, 94, 92, 93, 92, 92,
 91, 93, 94, 96, 97,100,100,103,104,107,107,109,109,112,113,113,116,116,118,118,121,121,123,123,
124,122,123,121,121,119,119,117,117,115,115,114,115,115,115,116,117,117,118,119,120,121,122,121,
122,121,122,120,121,119,120,119,119,117,118,116,117,115,117,116,117,117,118,118,120,120,122,122,
123,124,126,127,129,131,133,136,138,140,141,145,145,148,149,150,151,151,151,149,150,148,146,145,
144,141,141,138,138,137,135,135,134,134,134,134,134,134,135,136,136,139,139,141,142,144,145,147,
149,149,151,151,153,152,153,153,152,152,151,151,150,148,149,147,147,146,146,145,145,146,144,146,
146,146,147,147,148,148,149,150,148,149,148,147,147,145,143,142,140,139,137,136,135,134,133,130,
130,127,128,125,125,123,123,123,121,122,121,122,123,123,125,126,128,130,132,133,136,137,140,140,
143,143,144,145,145,145,146,144,145,142,142,140,138,137,136,134,133,131,131,131,129,130,128,129,
129,130,130,131,129,131,130,132,132,131,132,131,132,131,132,130,131,130,129,129,128,127,126,126,
126,124,125,125,125,125,126,126,128,130,131,133,134,135,135,138,137,139,139,141,140,141,140,141,
139,139,139,136,136,134,134,132,130,129,127,125,125,123,122,121,120,119,118,117,115,116,114,116,
115,117,117,118,120,122,124,126,128,129,130,130,131,131,131,129,129,127,127,125,125,123,124,122,
123,121,122,121,122,122,120,121,119,120,118,119,118,120,119,119,120,119,120,119,118,118,116,116,
115,114,112,112,110,108,108,105,105,103,103,102,101,101,100,101,100,101,100,103,102,105,105,109,
110,112,114,116,116,118,117,119,118,119,120,120,119,120,121,119,121,120,121,119,120,119,118,117,
117,114,114,112,113,112,111,113,112,114,114,116,116,118,118,120,121,120,122,121,122,121,121,121,
120,121,120,122,122,121,122,121,123,122,124,124,123,124,124,125,124,124,125,124,125,124,125,124,
125,126,125,126,125,127,126,127,127,126,127,125,126,124,125,124,122,122,122,120,121,120,121,121,
121,123,123,123,125,126,127,128,130,130,132,133,134,134,136,136,137,138,138,139,140,140,140,139,
140,140,140,139,138,139,138,138,137,138,137,138,138,137,138,137,138,138,139,139,138,140,139,140,
140,139,140,139,139,139,138,137,136,136,136,134,135,134,135,135,136,136,136,137,137,138,138,139,
139,138,137,138,137,138,137,138,137,139,139,138,139,139,140,140,139,139,138,138,136,136,134,133,
132,130,130,127,127,126,125,124,123,123,123,122,123,123,124,124,126,126,128,128,130,130,132,133,
133,135,134,136,135,137,137,137,138,137,138,137,139,138,138,139,138,139,138,139,139,139,139,138,
139,139,139,139,138,139,138,138,137,137,135,136,134,134,132,132,132,130,131,131,130,130,129,130,
130,130,130,131,130,131,131,132,132,133,133,134,134,135,134,136,135,137,136,136,137,137,138,139,
138,140,139,140,139,140,139,138,137,135,133,132,130,129,128,126,126,125,124,124,124,124,124,124,
123,124,122,122,121,121,120,121,119,121,120,119,120,120,121,120,121,121,122,122,122,122,121,122,
123,122,123,122,124,123,124,123,124,124,124,122,122,121,121,121,119,120,118,118,117,117,115,115,
113,111,110,108,107,105,105,103,103,103,102,102,102,102,102,103,102,102,103,101,102,101,102,101,
103,103,104,105,107,108,111,113,114,115,117,117,119,119,119,120,119,120,120,121,120,121,121,122,
122,122,122,123,122,123,122,122,122,120,120,118,119,117,117,117,116,115,115,114,114,115,113,115,
114,116,115,117,116,118,118,119,119,120,119,120,120,121,121,122,122,123,124,125,125,127,126,128,
127,129,128,130,128,130,128,130,128,130,129,128,129,129,130,129,130,131,131,131,132,130,132,130,
132,130,132,130,131,130,131,131,130,131,130,131,130,132,131,133,132,134,134,134,136,136,137,138,
139,141,140,143,143,145,145,147,147,148,150,149,151,150,152,150,152,150,151,148,148,148,146,145,
143,144,141,142,140,141,139,141,140,139,139,138,138,137,137,136,136,134,135,133,134,133,134,132,
133,132,133,132,134,133,134,133,135,135,134,135,134,135,134,135,134,135,133,135,133,134,133,134,
133,132,133,132,132,133,132,133,132,133,132,132,132,132,132,129,130,128,128,128,127,126,126,126,
125,125,124,125,125,124,125,125,125,125,126,126,127,129,128,130,130,132,132,133,134,133,135,133,
135,133,134,132,133,131,131,130,129,130,129,128,128,128,126,127,125,127,127,126,127,127,128,128,
127,128,127,128,127,127,127,125,126,124,125,124,126,126,126,127,127,128,128,129,128,129,128,129,
127,128,126,127,125,127,125,127,127,128,128,129,129,129,130,129,131,129,130,128,130,128,129,127,
128,125,126,124,125,124,122,122,121,120,120,119,119,118,119,119,117,119,119,119,120,120,121,121,
122,121,122,123,123,124,124,125,126,125,126,124,125,123,122,122,120,121,119,118,118,118,116,118,
117,118,118,117,118,118,118,118,117,116,116,114,115,114,114,114,114,113,114,114,115,115,117,116,
117,117,117,118,117,118,118,118,119,118,120,120,121,122,121,124,123,124,126,126,128,127,129,129,
130,129,131,129,130,129,130,128,129,128,127,127,126,125,126,124,125,123,124,123,123,122,122,121,
120,120,118,119,117,118,117,118,118,119,119,119,121,120,122,122,123,122,123,122,124,122,124,124,
124,124,125,125,125,127,126,128,128,129,130,130,131,131,132,132,133,134,133,134,134,134,134,133,
132,132,131,131,129,129,128,128,127,127,127,125,126,125,124,125,124,125,125,125,127,127,128,129,
131,131,133,134,136,137,137,139,139,138,140,140,139,139,140,139,138,139,138,139,138,139,138,139,
137,138,137,136,136,135,135,134,134,133,131,132,130,131,130,129,129,128,129,128,129,127,128,126,
127,126,127,126,125,125,124,123,123,122,121,120,121,120,121,120,121,122,123,124,126,126,128,130,
130,132,133,133,135,134,136,135,136,135,136,136,135,135,135,133,134,132,132,130,129,127,127,127,
125,126,125,125,125,125,126,126,127,127,128,129,128,130,129,131,131,132,133,132,133,132,134,134,
134,134,134,133,134,133,134,133,134,135,134,136,136,136,137,138,137,138,138,137,137,136,136,137,
137,138,138,138,139,140,140,140,141,139,140,137,138,136,135,133,132,129,129,127,127,125,125,125,
124,125,123,125,124,126,125,127,127,128,129,130,131,131,133,132,134,134,135,135,135,135,134,134,
134,134,134,132,132,131,131,129,129,129,126,127,125,126,125,125,124,124,124,123,124,124,124,125,
124,125,124,124,124,122,122,120,120,118,118,117,116,117,116,117,117,116,117,116,117,116,116,115,
115,114,114,113,113,114,113,114,113,115,115,117,116,118,118,119,120,120,121,120,121,119,120,118,
119,118,117,117,116,117,116,116,116,116,115,116,115,117,115,117,116,117,116,118,117,118,117,119,
118,119,119,120,121,121,122,122,124,123,124,123,124,123,124,122,123,122,122,120,121,120,120,120,
121,120,121,120,121,121,120,121,120,121,120,120,120,119,120,119,121,119,121,121,121,122,121,123,
122,123,123,124,123,125,125,125,126,126,127,127,128,128,129,129,128,130,129,131,132,132,133,133,
134,134,134,135,136,134,135,134,135,134,134,134,134,135,134,135,136,136,135,137,137,137,136,137,
136,137,136,136,135,136,136,137,137,138,138,138,139,140,140,141,141,140,142,141,142,141,141,141,
140,140,138,139,137,137,135,136,134,134,132,132,133,132,132,132,131,132,131,131,130,130,129,129,
127,127,126,126,124,125,124,124,124,122,123,123,124,123,124,123,124,124,124,125,124,126,126,126,
128,128,128,129,129,130,129,131,131,131,132,132,132,132,133,132,133,132,134,132,133,133,132,132,
131,131,130,130,130,129,128,128,126,127,125,125,124,123,122,122,121,120,121,120,121,121,123,123,
125,125,128,127,129,128,130,129,130,130,130,129,130,129,130,129,130,131,130,132,131,132,131,133,
132,133,131,132,131,131,131,129,130,129,129,128,129,128,129,127,128,128,127,127,127,126,127,125,
126,125,126,126,125,125,125,124,124,123,124,123,124,123,124,125,126,127,128,129,128,130,130,132,
133,132,133,132,134,133,135,135,136,135,136,136,135,135,134,133,133,130,130,127,126,125,123,122,
119,120,119,119,118,119,118,120,119,121,120,121,121,122,121,122,121,122,122,122,121,122,121,122,
121,122,121,122,122,122,122,123,122,123,122,124,124,124,125,124,125,127,126,128,129,128,130,130,
132,132,133,134,133,134,133,133,133,132,130,130,127,127,124,124,121,122,119,119,118,117,117,116,
116,117,115,117,116,116,118,117,119,119,121,121,124,124,126,126,128,128,130,129,129,129,128,129,
128,126,126,124,124,123,120,121,118,119,117,118,116,118,117,119,119,119,121,121,124,123,126,125,
126,127,127,128,128,128,128,128,128,127,127,126,126,125,125,124,124,124,122,122,120,121,119,121,
120,122,122,123,124,126,126,129,131,131,134,134,137,136,138,138,138,138,139,136,137,135,136,134,
133,132,130,130,127,128,125,126,124,125,124,124,124,124,124,125,125,125,126,126,126,127,127,128,
129,128,130,129,131,130,132,132,131,132,130,130,129,127,127,125,124,123,122,121,121,121,119,121,
119,121,121,121,123,122,125,125,126,127,128,129,130,129,131,130,132,130,131,129,130,128,128,126,
126,125,124,125,122,124,122,123,122,124,123,123,125,125,127,128,129,131,133,134,136,137,139,139,
140,140,140,140,139,138,137,136,135,134,133,133,130,131,130,130,129,128,128,129,127,128,126,128,
127,128,129,129,130,132,132,134,135,137,138,139,141,140,142,142,141,142,141,141,140,140,139,137,
136,136,133,134,131,132,129,130,129,129,129,130,129,131,131,133,134,135,135,136,136,137,137,136,
138,136,137,135,136,134,134,134,132,132,131,129,128,128,125,125,123,123,121,123,123,123,125,126,
127,129,130,132,134,133,136,135,137,135,137,136,135,135,134,134,132,132,129,129,128,127,125,125,
122,122,120,119,118,117,116,116,114,115,114,115,115,114,116,115,118,118,118,119,120,121,121,122,
122,123,124,123,122,122,121,121,120,120,117,119,117,118,117,117,118,118,119,120,120,120,122,122,
124,123,125,125,127,126,128,127,127,128,128,126,127,126,124,124,122,122,119,119,116,116,113,114,
112,111,110,111,109,111,110,111,112,111,114,114,116,116,119,118,121,120,123,122,124,123,125,123,
124,124,123,124,123,124,122,123,121,122,120,122,120,121,119,120,120,120,120,120,122,123,123,124,
125,126,128,128,130,130,131,131,131,131,130,130,129,129,128,127,127,126,124,125,123,124,122,124,
124,124,125,125,127,127,129,131,131,132,135,135,138,139,139,141,141,142,142,143,143,144,143,144,
143,143,141,142,139,139,136,137,133,133,130,131,128,128,126,127,126,126,126,126,128,127,129,129,
131,130,132,131,133,133,132,133,133,131,132,131,130,130,128,128,126,127,125,125,124,123,123,123,
124,123,124,124,125,125,127,126,128,128,130,130,131,132,133,134,134,135,135,135,135,133,134,133,
131,131,128,128,125,126,123,124,123,122,122,122,122,122,122,122,123,122,124,124,124,125,126,127,
127,129,130,131,133,132,135,135,135,135,135,135,134,134,133,131,131,129,129,128,127,126,126,125,
126,126,125,127,126,128,128,130,131,132,133,134,134,134,136,135,137,135,136,134,135,133,133,132,
132,130,130,129,129,128,127,128,125,126,124,125,124,125,124,125,126,126,128,128,130,130,133,132,
134,134,134,134,134,134,133,134,133,133,132,132,133,131,132,130,131,129,129,128,128,126,126,125,
125,125,123,124,124,124,125,124,126,127,128,127,130,129,131,131,131,132,132,132,132,131,131,129,
129,127,127,125,124,123,122,121,121,120,120,119,120,119,121,120,122,121,123,123,124,124,125,126,
126,127,128,127,129,128,129,128,129,128,128,127,127,127,125,125,123,124,121,122,120,122,121,121,
120,121,120,121,122,121,123,122,124,124,124,125,125,125,125,126,126,125,126,125,126,125,123,124,
123,123,121,121,119,120,118,118,116,115,115,113,113,113,112,113,113,114,115,115,116,117,119,119,
122,121,123,123,125,125,126,126,126,125,126,125,125,124,124,123,123,123,121,123,121,122,121,122,
122,121,122,121,122,121,123,123,123,124,123,124,124,125,126,126,127,127,127,128,127,128,127,128,
128,126,127,126,126,125,126,125,125,126,125,126,126,128,129,129,131,130,132,133,133,134,134,135,
134,135,135,135,136,134,135,134,134,133,133,131,131,129,129,129,126,127,125,125,123,124,123,122,
122,121,122,120,121,121,120,121,121,122,123,122,124,123,125,124,126,125,127,126,127,126,126,126,
126,126,126,126,127,126,127,127,128,128,128,129,128,129,129,130,129,131,131,132,133,132,135,135,
135,136,135,136,136,134,134,133,132,132,129,130,127,128,127,126,126,125,126,126,126,126,127,126,
128,128,130,130,130,132,133,132,134,134,135,135,137,136,137,137,137,138,137,139,138,139,139,138,
139,139,139,139,138,137,137,136,136,135,135,134,135,134,136,136,135,136,137,136,137,135,137,136,
136,135,135,133,133,132,132,132,131,132,130,131,129,130,128,129,127,129,128,128,129,129,128,130,
130,131,132,133,134,135,137,136,139,138,140,139,139,139,138,138,137,136,134,134,132,131,130,128,
127,126,125,125,123,124,123,124,123,124,123,123,124,123,124,123,124,124,123,124,125,124,125,124,
125,124,125,125,125,125,124,124,123,122,122,121,120,120,119,120,119,119,120,119,120,121,121,122,
123,122,124,125,125,126,126,127,128,126,128,126,127,125,126,124,124,124,121,122,119,120,118,118,
115,116,114,115,113,114,113,114,113,114,114,116,116,117,119,119,120,121,122,123,123,124,123,124,
123,123,121,122,120,120,119,118,118,117,116,116,114,115,115,114,115,115,114,115,114,116,115,117,
117,118,118,120,121,121,123,123,125,124,126,125,127,126,127,127,127,126,126,125,125,124,124,123,
123,123,121,123,121,123,122,124,124,126,127,127,130,129,132,132,133,134,135,134,136,136,135,136,
137,135,137,136,135,136,135,135,134,134,132,133,131,133,131,132,131,132,131,132,132,133,132,134,
134,134,135,134,136,135,137,136,138,138,137,137,136,136,135,134,133,131,131,129,128,127,126,125,
125,125,124,125,124,125,124,125,124,125,125,126,126,127,128,127,129,128,130,130,130,131,131,131,
131,130,130,129,129,128,126,127,125,126,125,126,125,127,126,127,127,128,128,129,129,130,130,129,
131,130,131,130,132,131,131,131,130,131,130,130,128,129,127,127,125,126,124,125,124,123,123,122,
122,121,122,121,122,122,123,124,124,126,127,129,130,132,132,134,135,136,136,135,137,135,136,135,
135,134,135,133,133,133,132,131,131,130,128,129,127,128,128,128,128,128,127,128,128,129,129,130,
131,131,132,132,132,131,132,131,131,131,129,130,128,129,128,128,127,127,126,127,126,127,127,127,
128,129,129,130,130,131,132,131,133,133,132,133,133,134,134,133,134,133,134,133,134,133,133,132,
132,131,131,130,128,128,125,126,123,124,122,123,121,122,121,122,122,123,123,124,125,125,125,126,
126,127,127,128,128,128,129,128,129,128,128,127,127,127,127,127,126,127,126,127,126,126,127,126,
128,129,129,130,131,130,131,130,131,130,131,130,131,129,130,127,128,125,125,124,121,122,120,121,
118,119,118,117,118,118,117,119,118,119,120,120,122,122,122,123,122,123,124,124,124,125,126,125,
126,125,126,126,125,125,125,123,124,122,122,121,119,119,117,118,117,119,117,118,118,117,119,118,
120,120,122,124,124,126,126,126,125,125,124,125,125,127,128,128,129,129,129,127,126,125,124,123,
123,123,123,122,122,121,121,120,122,121,123,124,127,128,129,131,133,132,135,135,136,137,137,136,
137,135,136,134,135,134,133,133,131,132,131,130,127,125,122,120,119,117,117,116,118,117,120,120,
123,124,126,128,129,132,135,135,139,138,141,140,140,141,140,141,142,142,144,144,144,147,145,146,
143,142,138,136,134,133,130,131,131,130,130,127,126,121,120,117,115,114,114,115,116,118,121,122,
126,128,131,131,133,133,134,135,134,136,135,138,138,141,142,144,144,145,143,143,142,141,141,141,
141,142,142,140,140,137,137,134,135,134,136,136,137,136,138,137,134,133,129,127,123,120,117,114,
111,108,106,104,103,101,102,101,103,102,104,102,104,102,102,102,102,103,103,103,105,104,105,105,
103,103,103,101,102,102,102,101,100, 98, 96, 92, 90, 87, 86, 86, 85, 87, 87, 89, 91, 91, 94, 94,
 97, 98,101,102,104,106,107,111,113,117,120,122,126,127,130,130,130,131,129,130,129,127,128,127,
126,128,126,128,126,128,127,128,129,130,133,135,140,144,151,155,162,167,170,174,176,179,180,181,
182,180,180,179,175,173,169,167,163,160,156,155,152,153,151,151,150,149,148,144,141,137,132,128,
123,119,115,110,109,106,106,105,105,104,105,103,104,103,103,104,104,106,106,108,108,110,111,112,
113,115,116,118,119,121,121,123,121,122,119,118,114,112,109,107,104,104,104,104,106,107,110,111,
112,114,114,115,115,115,117,117,120,122,122,126,126,129,129,129,131,130,132,133,135,138,140,143,
146,147,149,150,151,153,153,155,155,157,155,156,155,154,152,153,151,153,152,152,153,153,152,153,
152,154,155,157,157,159,158,158,155,154,151,150,149,151,151,154,156,160,161,163,165,164,165,164,
166,168,171,173,176,178,179,181,180,178,177,173,170,166,161,158,153,151,149,145,145,142,142,140,
141,139,140,139,141,142,142,145,147,149,151,151,153,154,154,154,153,155,154,157,157,159,160,160,
160,159,159,156,155,151,149,145,143,139,139,136,136,133,133,131,130,126,124,121,116,113,108,106,
103,101, 97, 94, 90, 84, 81, 77, 74, 73, 71, 71, 71, 72, 72, 72, 71, 72, 71, 70, 70, 68, 69, 68,
 68, 69, 70, 69, 71, 72, 73, 72, 73, 72, 70, 68, 66, 64, 64, 63, 64, 65, 65, 66, 65, 67, 65, 66,
 65, 64, 65, 64, 66, 66, 69, 71, 76, 78, 84, 88, 94, 96,101,104,107,110,112,115,116,115,116,114,
114,113,109,109,106,106,104,104,105,107,108,112,113,116,119,121,123,126,129,130,134,136,141,144,
149,151,155,156,158,158,160,160,161,161,162,162,163,162,162,162,160,158,156,152,149,146,142,141,
137,136,134,132,133,131,133,131,131,128,128,125,123,122,120,118,118,116,116,115,115,115,115,117,
118,121,123,126,130,132,134,134,135,132,131,126,123,118,116,112,112,110,110,108,109,109,110,110,
113,114,115,115,117,116,117,116,115,115,113,114,113,114,113,115,113,115,114,117,118,122,125,129,
133,134,137,138,137,138,138,139,140,143,145,149,153,155,158,158,159,159,159,161,162,164,164,166,
165,166,163,163,160,159,155,155,153,154,154,156,157,160,161,164,167,168,170,169,170,168,168,167,
167,168,168,171,173,176,178,179,180,181,179,179,176,176,174,174,172,171,167,162,158,152,148,142,
138,133,131,129,129,129,129,132,133,136,138,141,142,144,145,146,148,148,151,153,155,157,158,157,
157,156,155,154,153,152,150,151,150,152,151,152,151,149,149,147,147,144,143,141,138,136,134,131,
129,125,123,117,114,108,104, 99, 97, 94, 92, 90, 87, 84, 81, 78, 74, 70, 67, 64, 63, 62, 63, 64,
 66, 67, 71, 73, 76, 79, 81, 82, 82, 82, 80, 80, 76, 75, 71, 70, 67, 66, 63, 64, 61, 62, 60, 59,
 60, 59, 61, 61, 64, 67, 68, 72, 74, 79, 81, 85, 87, 91, 94, 99,103,107,112,115,119,120,121,119,
119,115,113,108,105,100, 98, 94, 92, 91, 90, 89, 90, 91, 95,101,107,114,123,130,139,146,153,160,
165,171,174,175,177,176,176,174,173,169,166,163,158,155,152,147,144,140,137,134,133,131,131,130,
130,131,132,134,137,140,142,145,146,149,150,152,153,154,153,150,148,142,138,131,125,119,112,108,
105,101, 99, 97, 95, 96, 95, 99,100,105,106,111,114,117,122,127,132,138,142,148,151,155,157,160,
160,161,161,161,159,158,156,150,143,135,125,117,108,101, 93, 89, 84, 82, 80, 82, 83, 88, 90, 93,
 99,106,115,123,133,140,149,156,164,169,176,180,183,186,187,186,186,184,180,177,172,169,165,159,
155,149,144,138,130,126,120,119,116,118,118,124,128,135,141,147,153,157,163,167,173,176,180,184,
189,191,193,192,193,189,188,184,179,175,171,165,162,158,156,153,151,149,147,145,142,140,137,138,
137,139,139,141,145,146,149,149,151,152,154,154,155,155,154,151,150,146,144,142,137,134,128,124,
119,115,113,112,112,113,114,116,119,123,127,131,134,140,143,148,154,157,162,164,166,168,169,167,
165,161,155,149,142,135,127,119,110,102, 93, 86, 79, 72, 67, 62, 55, 53, 48, 48, 47, 48, 50, 53,
 57, 62, 68, 74, 79, 82, 88, 90, 95, 97, 99,101,101,101, 98, 94, 89, 85, 80, 72, 67, 60, 53, 50,
 46, 46, 43, 43, 42, 42, 42, 45, 47, 52, 55, 61, 66, 72, 78, 83, 90, 95,101,106,112,116,122,124,
126,124,122,121,118,114,107,102, 95, 90, 83, 77, 74, 71, 67, 69, 69, 72, 77, 82, 90, 98,108,117,
127,135,142,150,157,162,170,175,181,184,188,188,189,187,185,182,178,175,170,166,161,158,152,148,
142,137,132,129,127,127,126,128,130,133,137,140,146,150,153,156,159,159,162,160,160,158,155,153,
151,149,145,143,138,135,130,128,124,123,121,120,120,121,123,124,126,129,129,134,135,140,143,146,
150,153,157,160,164,167,167,168,166,164,160,156,151,145,138,130,122,114,107,100, 93, 86, 80, 76,
 72, 71, 70, 74, 78, 83, 90, 97,105,112,120,125,130,136,141,146,154,158,165,168,173,173,176,173,
173,168,162,157,151,144,139,133,129,126,122,122,120,122,121,125,125,129,133,137,143,147,152,157,
161,166,169,173,177,178,182,182,185,186,188,187,188,186,187,184,181,179,174,170,166,161,158,155,
153,151,151,150,151,151,151,150,150,150,150,152,154,157,159,161,164,165,166,165,167,165,164,162,
160,157,153,151,145,142,135,132,127,122,119,116,115,113,115,116,120,122,127,130,133,136,140,141,
143,141,142,138,138,136,133,131,127,124,120,114,110,103, 98, 91, 86, 79, 74, 71, 67, 65, 62, 61,
 58, 59, 59, 63, 64, 69, 71, 77, 80, 86, 91, 95, 99,100,103,104,104,104,102, 98, 92, 87, 81, 74,
 68, 60, 53, 47, 39, 35, 29, 26, 23, 21, 19, 21, 21, 25, 28, 34, 38, 44, 49, 56, 61, 68, 75, 80,
 89, 95,103,110,117,120,124,124,124,121,119,115,111,106,101, 97, 91, 88, 83, 80, 76, 77, 76, 79,
 84, 89, 96,103,109,117,123,130,135,142,146,151,155,159,162,165,165,166,165,166,164,164,162,159,
157,153,151,148,146,144,144,144,147,149,154,158,161,164,167,168,172,174,175,176,176,178,178,177,
177,173,172,167,165,161,157,154,150,147,143,140,137,132,130,128,124,122,120,121,122,124,128,131,
135,139,144,147,151,153,155,156,159,161,162,165,167,169,169,169,167,163,160,155,148,142,135,129,
123,119,115,111,109,107,108,107,109,110,111,112,116,121,126,131,139,146,151,158,163,166,171,172,
174,172,172,168,167,162,159,153,149,142,138,132,128,123,119,116,114,114,114,118,120,126,129,135,
138,143,145,150,153,157,162,166,172,176,182,186,188,191,192,192,191,188,187,182,179,174,170,165,
160,154,149,144,141,139,137,136,137,137,139,140,143,145,146,148,149,151,151,154,155,158,159,162,
163,165,166,166,166,163,159,156,150,145,138,133,126,123,119,119,117,119,119,123,125,130,132,137,
141,144,148,151,153,155,156,156,157,154,154,150,146,142,135,129,122,115,107,100, 90, 82, 72, 65,
 58, 50, 46, 41, 38, 36, 37, 38, 41, 45, 50, 55, 62, 67, 74, 81, 87, 93, 99,103,106,111,112,114,
113,112,108,102, 96, 89, 83, 75, 69, 60, 55, 48, 43, 37, 33, 30, 25, 25, 24, 24, 27, 30, 34, 39,
 42, 49, 53, 61, 67, 75, 81, 89, 94,101,105,106,108,107,106,102, 98, 93, 87, 81, 73, 67, 61, 55,
 52, 49, 49, 50, 54, 59, 65, 73, 80, 87, 94,101,110,118,127,135,144,150,157,161,166,167,169,167,
167,164,163,158,156,151,148,142,139,133,130,125,124,121,119,120,120,122,123,126,127,130,133,135,
137,139,140,143,144,147,151,154,156,159,159,160,160,158,158,154,153,149,148,145,145,144,142,143,
142,144,144,145,146,145,147,147,149,151,155,158,161,164,167,168,170,169,170,168,168,165,165,161,
160,157,153,149,144,139,133,128,122,117,111,109,107,106,108,111,115,120,126,131,138,144,149,155,
159,166,171,174,179,181,183,183,181,177,175,170,167,162,157,153,148,145,141,139,135,132,128,127,
125,124,124,124,125,126,128,130,133,136,139,143,148,153,158,165,170,176,180,185,188,189,191,190,
189,188,185,182,179,176,173,170,168,165,165,163,163,161,161,158,158,157,155,155,153,155,155,158,
158,161,162,165,166,166,165,164,162,157,155,149,144,139,133,129,123,119,114,110,108,106,107,109,
110,114,116,121,125,129,131,136,138,143,146,149,152,153,156,156,156,156,156,154,150,147,141,136,
129,123,115,108,101, 92, 87, 80, 75, 70, 65, 62, 58, 59, 57, 60, 61, 63, 67, 69, 73, 76, 78, 82,
 83, 86, 87, 89, 90, 90, 90, 88, 86, 81, 78, 74, 69, 64, 60, 55, 49, 46, 42, 41, 38, 39, 40, 41,
 44, 46, 51, 54, 59, 64, 68, 74, 79, 87, 93, 98,104,107,111,111,112,109,107,102, 98, 93, 88, 81,
 77, 71, 64, 59, 53, 50, 48, 46, 47, 48, 52, 55, 61, 67, 74, 82, 90, 98,104,113,119,127,133,140,
145,152,157,160,165,166,169,169,169,168,167,166,164,163,162,161,160,160,159,158,157,155,154,153,
150,150,148,149,148,150,151,152,153,154,153,153,152,150,149,147,147,144,144,143,142,140,139,136,
135,131,130,128,128,129,129,133,136,139,145,149,154,158,163,167,168,172,174,177,178,181,183,186,
187,186,186,183,180,174,168,161,153,145,136,129,120,114,106,100, 94, 90, 86, 85, 84, 87, 89, 94,
 98,105,110,118,124,131,135,139,144,147,152,153,156,156,158,157,158,156,156,155,153,151,149,147,
144,142,140,138,136,133,132,131,131,131,130,130,132,133,137,142,145,151,155,160,167,170,175,178,
180,180,181,180,180,179,177,176,173,170,168,164,161,156,153,149,145,144,142,140,140,140,141,141,
144,147,149,154,157,163,167,171,175,177,181,181,182,181,179,178,176,170,167,161,156,149,144,138,
132,130,125,124,121,119,118,117,117,117,119,121,123,124,128,129,132,133,134,136,136,137,136,136,
135,132,131,126,123,117,113,107,100, 95, 89, 86, 82, 78, 77, 75, 76, 75, 77, 79, 80, 84, 86, 90,
 93, 96,100,102,106,108,111,112,112,112,109,107,103, 98, 94, 86, 81, 74, 68, 60, 53, 47, 39, 34,
 28, 25, 22, 20, 21, 21, 24, 28, 34, 42, 49, 59, 66, 76, 83, 92, 99,106,112,118,123,125,129,130,
131,129,126,122,117,113,108,101, 97, 92, 88, 85, 82, 80, 80, 79, 80, 82, 83, 87, 90, 96,100,106,
110,116,121,125,128,130,133,134,133,135,136,138,139,141,143,144,145,146,145,145,143,143,141,142,
141,143,144,145,147,149,150,153,155,155,156,156,158,158,160,160,163,163,166,166,166,166,163,160,
155,151,146,141,135,132,127,124,120,119,116,115,114,112,113,114,114,115,118,121,125,128,133,137,
140,144,147,151,155,157,160,161,164,163,163,161,157,153,147,143,136,129,125,119,116,112,110,108,
109,109,112,114,116,120,123,125,129,131,135,136,138,138,139,138,139,137,137,134,134,131,130,127,
127,123,122,118,115,111,109,106,102, 99, 97, 94, 96, 96,100,103,109,115,120,128,134,142,149,157,
165,171,180,185,193,196,201,202,205,206,204,204,201,195,190,183,176,168,162,154,149,142,138,133,
130,126,125,124,123,124,125,128,132,134,139,141,145,148,149,151,153,153,155,156,156,157,155,153,
151,147,145,141,139,137,136,135,134,135,135,137,138,141,144,147,150,153,157,160,164,166,168,170,
169,170,169,167,163,160,154,148,141,134,125,117,109, 99, 92, 83, 77, 70, 65, 60, 58, 55, 55, 54,
 57, 60, 64, 70, 76, 83, 90, 96,104,110,117,122,128,132,138,142,144,147,146,145,141,136,130,120,
113,103, 95, 85, 78, 70, 65, 60, 56, 54, 51, 52, 51, 54, 57, 60, 65, 68, 74, 79, 82, 88, 92, 96,
 98,102,102,104,104,105,103,102, 99, 97, 92, 89, 84, 80, 75, 72, 70, 67, 68, 70, 73, 78, 83, 91,
 98,106,114,121,128,134,141,146,152,156,162,166,170,173,176,177,178,176,175,171,169,165,160,157,
153,150,146,141,138,135,131,128,124,121,117,116,114,115,117,119,123,126,130,135,139,143,146,151,
155,158,163,165,169,171,171,171,169,168,165,163,159,158,155,152,149,148,145,144,143,141,140,139,
139,138,138,139,140,141,143,144,145,145,146,145,145,143,142,139,134,130,125,118,113,105,100, 94,
 90, 85, 83, 81, 80, 81, 82, 87, 90, 97,103,109,116,122,129,134,140,144,150,155,160,165,170,174,
177,179,180,179,178,176,171,167,161,155,148,141,133,127,120,115,108,105,100, 98, 94, 93, 90, 91,
 91, 93, 96,101,105,112,118,125,131,138,145,152,158,162,169,172,174,176,177,174,174,169,168,165,
162,161,158,158,157,157,156,155,155,155,154,155,155,155,157,157,158,156,157,157,156,156,155,153,
152,148,146,142,138,133,128,122,117,112,107,103, 99, 95, 94, 92, 93, 94, 95,100,103,108,115,120,
127,132,139,144,149,153,156,159,160,163,164,163,163,160,156,152,145,140,132,125,118,112,105,100,
 95, 89, 86, 81, 78, 73, 71, 68, 68, 67, 68, 69, 72, 74, 78, 83, 85, 90, 93, 97, 99, 99,100, 99,
 98, 94, 92, 87, 83, 78, 72, 68, 63, 58, 55, 52, 53, 53, 56, 59, 64, 68, 74, 81, 87, 92, 99,105,
110,116,120,127,131,135,139,141,144,144,142,139,135,128,121,113,106, 97, 91, 85, 78, 74, 70, 68,
 65, 65, 63, 65, 65, 68, 71, 77, 82, 90, 97,103,111,117,124,130,136,142,147,154,160,166,173,178,
184,187,191,193,193,193,191,190,188,183,181,177,172,170,164,161,157,152,149,146,143,142,140,140,
139,141,141,141,143,143,143,144,143,143,141,141,138,137,134,132,129,126,125,123,124,124,123,125,
126,129,131,134,137,141,145,151,155,161,165,169,173,177,179,182,186,187,188,186,186,181,177,170,
164,156,147,139,131,124,116,111,104,101, 95, 93, 90, 89, 88, 86, 87, 87, 89, 91, 95, 98,103,109,
113,119,124,130,135,140,143,148,150,152,154,154,156,155,153,151,148,146,144,141,139,137,133,132,
129,128,126,126,125,127,127,131,134,139,142,148,151,156,159,164,165,168,168,169,167,165,161,157,
152,148,143,139,134,131,127,126,123,122,121,122,122,122,124,126,129,132,134,139,141,147,150,156,
160,164,171,175,180,182,185,185,186,183,181,176,171,164,157,149,142,136,130,124,119,115,110,108,
104,104,103,103,103,103,106,107,111,112,115,116,116,118,117,118,117,117,116,114,112,110,107,106,
103,101, 97, 95, 91, 89, 87, 84, 84, 82, 82, 82, 84, 86, 89, 92, 94, 99,102,108,112,116,119,124,
125,128,127,127,124,118,113,105, 97, 87, 79, 69, 62, 54, 48, 42, 36, 33, 29, 27, 25, 23, 24, 25,
 27, 32, 36, 43, 49, 58, 66, 74, 83, 90, 98,105,110,117,122,127,131,135,137,138,137,136,132,129,
124,120,117,112,110,107,106,104,104,103,103,103,104,104,105,106,107,108,111,112,116,119,122,127,
130,135,139,144,147,151,154,158,160,160,162,160,161,160,158,158,157,154,154,152,152,151,150,153,
153,157,160,163,167,169,174,176,181,184,186,189,191,193,193,194,192,188,185,179,174,167,163,158,
153,147,141,136,130,127,121,119,116,115,113,114,114,117,118,121,125,128,132,135,140,142,146,148,
152,152,155,154,156,156,154,154,152,149,148,144,143,139,137,134,132,130,127,128,126,126,125,126,
126,126,128,128,130,131,132,134,135,136,138,138,140,138,138,138,137,134,132,129,126,121,117,112,
109,103,100, 95, 93, 90, 90, 90, 94, 96,102,108,116,124,131,142,150,159,169,177,186,192,198,203,
205,208,208,208,205,203,199,193,189,182,177,170,166,159,154,147,143,136,132,126,122,117,115,112,
111,112,112,115,117,120,123,127,130,134,137,139,142,143,145,145,146,146,145,144,142,141,139,138,
137,137,136,138,138,141,143,145,149,150,153,153,155,154,155,154,154,151,151,149,146,145,141,138,
132,128,121,116,109,100, 94, 87, 79, 73, 65, 60, 52, 48, 43, 41, 38, 39, 40, 43, 47, 53, 60, 67,
 75, 82, 91, 97,104,108,113,115,119,120,121,122,120,119,116,111,107,101, 96, 90, 83, 78, 72, 68,
 65, 62, 61, 59, 59, 59, 58, 59, 59, 61, 61, 64, 65, 69, 71, 76, 79, 83, 85, 88, 89, 89, 90, 90,
 88, 88, 85, 84, 83, 80, 81, 80, 79, 80, 80, 82, 85, 86, 90, 92, 97, 99,104,108,113,117,122,126,
132,135,141,145,151,157,162,167,171,175,178,179,179,176,175,171,167,161,157,150,145,138,132,126,
119,115,110,108,105,105,106,107,109,112,115,120,124,128,135,140,146,151,157,160,165,169,171,173,
175,175,176,175,175,173,171,169,167,164,163,160,161,160,159,160,159,158,158,157,157,157,155,155,
153,154,154,153,153,151,151,149,148,145,143,140,137,132,129,124,119,115,111,107,105,102,101,100,
102,103,107,110,114,119,123,129,134,140,145,151,156,163,169,174,180,184,189,190,192,191,190,188,
183,178,170,163,153,145,135,126,119,111,105,100, 96, 93, 92, 92, 93, 94, 99,102,109,115,120,128,
133,140,146,150,156,160,164,167,171,173,176,177,179,178,179,178,175,174,171,169,165,164,162,159,
158,157,156,154,155,153,154,154,154,156,157,158,159,160,161,162,161,161,158,155,150,147,140,136,
131,124,121,115,113,109,108,105,106,104,106,107,110,112,115,118,122,127,130,135,138,143,145,150,
153,157,159,162,164,164,166,164,164,160,157,150,144,135,127,117,110,101, 95, 88, 83, 78, 76, 73,
 72, 70, 70, 69, 71, 71, 73, 74, 77, 79, 83, 85, 88, 89, 90, 89, 88, 86, 82, 80, 76, 74, 70, 68,
 66, 64, 61, 60, 57, 58, 58, 59, 61, 63, 66, 69, 73, 77, 82, 86, 91, 95,100,103,108,111,113,116,
117,118,117,116,115,112,111,106,104, 98, 95, 89, 86, 82, 78, 75, 71, 69, 66, 65, 62, 62, 60, 62,
 62, 65, 66, 72, 74, 81, 86, 95,102,112,120,131,141,150,159,167,175,179,185,187,191,191,192,191,
188,183,180,174,169,163,159,154,149,146,140,138,134,132,129,126,125,124,125,126,128,130,132,134,
135,135,136,135,135,134,132,130,128,127,125,124,122,123,122,123,123,126,126,129,131,134,136,139,
141,144,146,148,151,153,157,160,162,166,167,170,170,171,169,168,165,161,157,151,145,139,134,126,
121,114,110,105,100, 97, 93, 92, 90, 88, 88, 88, 87, 90, 92, 95,101,107,112,120,126,133,139,146,
151,157,160,164,165,167,167,165,163,159,157,153,148,146,143,139,138,136,138,137,139,141,142,145,
146,149,151,155,156,160,163,164,168,170,172,175,175,176,175,174,172,170,168,164,161,156,154,150,
148,144,142,138,136,135,133,134,134,136,138,142,144,150,153,160,163,170,173,179,182,186,187,190,
190,191,189,189,186,182,179,174,170,165,160,155,151,146,144,140,137,133,130,129,124,123,119,118,
116,115,116,117,119,121,123,126,126,128,128,128,125,124,121,119,117,113,112,108,107,103,101, 97,
 96, 94, 93, 94, 93, 96, 97,100,102,104,107,111,112,115,116,118,118,119,118,116,114,110,108,102,
 99, 92, 87, 79, 74, 66, 61, 55, 49, 45, 40, 38, 36, 34, 35, 34, 36, 38, 40, 44, 47, 53, 57, 63,
 68, 73, 79, 84, 90, 95,101,105,110,113,118,120,123,123,126,125,126,123,123,119,118,115,111,107,
104, 99, 97, 93, 92, 89, 88, 87, 85, 87, 87, 90, 92, 97,102,108,114,119,126,130,136,140,143,147,
149,151,151,152,152,150,150,148,147,145,142,140,138,137,134,134,133,134,135,137,138,143,146,149,
154,157,161,164,167,168,171,171,170,170,167,166,162,159,155,152,147,144,140,136,132,128,123,121,
117,115,111,110,107,105,105,105,107,108,110,114,117,122,126,131,134,138,142,143,147,148,151,151,
152,151,150,150,147,146,142,140,137,133,132,128,127,124,123,121,121,121,119,121,122,123,126,128,
131,133,137,139,142,142,144,143,142,139,136,132,128,122,119,114,110,107,103,102,100, 98, 97, 96,
 97, 98,101,104,107,113,117,125,131,137,145,151,159,166,173,178,185,189,194,197,198,200,199,199,
196,193,188,184,177,172,165,160,153,149,143,139,135,131,129,125,124,123,122,123,123,126,128,132,
133,136,139,141,144,146,146,147,149,148,151,151,154,154,157,156,158,157,156,156,154,154,153,154,
153,155,155,157,157,157,159,159,160,160,160,158,158,156,155,153,150,145,143,137,133,127,122,116,
109,103, 97, 91, 87, 81, 79, 76, 73, 73, 72, 73, 74, 76, 78, 81, 84, 88, 91, 96, 98,104,105,110,
111,115,116,117,117,117,115,114,111,109,107,102,100, 97, 93, 91, 87, 85, 82, 80, 78, 75, 75, 73,
 73, 71, 71, 70, 70, 69, 70, 72, 71, 74, 76, 78, 81, 82, 86, 87, 90, 90, 93, 94, 94, 95, 96, 94,
 95, 93, 94, 92, 92, 90, 91, 91, 90, 93, 93, 96, 98,103,106,113,117,125,130,137,143,148,155,159,
165,168,173,175,179,178,180,178,177,173,171,166,161,156,150,143,138,131,125,122,117,115,112,112,
110,113,113,116,118,122,124,129,131,136,140,142,147,149,153,156,159,160,163,163,166,166,167,165,
166,163,163,160,159,156,155,153,150,149,146,145,142,142,141,139,139,137,138,137,138,137,139,138,
139,137,137,135,134,130,128,125,121,118,114,111,109,105,103, 99, 98, 96, 96, 96, 96, 99,102,108,
113,118,125,131,139,144,151,156,161,164,168,169,171,170,170,168,165,163,159,153,149,142,138,131,
125,120,115,111,108,104,102,100, 98, 99, 99, 99,102,104,109,112,118,122,128,134,140,144,150,153,
158,161,164,165,167,167,169,167,168,167,166,164,161,160,157,155,152,152,151,150,150,150,151,150,
151,152,151,150,150,150,149,150,149,150,150,148,148,146,145,141,139,135,132,128,123,119,115,111,
110,107,106,105,104,105,105,107,108,112,114,117,121,125,130,133,138,141,145,147,149,150,152,151,
151,150,147,145,141,138,133,129,125,119,116,111,108,103,101, 97, 95, 92, 91, 90, 88, 87, 88, 87,
 88, 88, 89, 90, 90, 89, 90, 89, 90, 90, 89, 88, 87, 86, 85, 83, 84, 82, 84, 82, 84, 83, 85, 85,
 87, 87, 89, 91, 92, 94, 96, 97,100,102,106,108,111,114,116,120,121,125,127,129,131,131,133,131,
132,128,127,122,119,114,109,103, 99, 93, 89, 84, 81, 77, 75, 73, 73, 73, 75, 76, 80, 84, 89, 95,
101,108,116,123,132,139,148,154,162,167,174,177,181,183,184,184,182,181,178,175,171,168,163,160,
157,152,150,146,144,142,140,138,137,135,134,134,132,133,132,133,134,133,134,133,134,134,134,134,
133,133,132,130,131,129,130,128,130,128,129,129,129,130,129,131,130,133,134,138,140,144,148,151,
154,159,161,165,167,169,171,171,172,170,170,167,163,159,153,147,141,133,127,120,114,108,103,100,
 97, 95, 93, 93, 93, 94, 96, 98,100,104,107,112,116,119,123,127,129,133,135,138,140,140,142,141,
142,141,141,140,139,138,137,135,134,132,130,130,129,130,129,131,132,136,137,141,142,146,147,151,
152,155,156,159,159,162,161,161,160,157,155,151,149,144,141,138,134,132,129,127,126,123,124,121,
121,120,120,120,121,122,124,126,130,133,138,143,146,151,153,158,160,164,165,167,167,168,166,165,
163,160,157,154,151,146,144,140,135,133,128,126,122,121,118,117,115,115,114,113,114,113,113,112,
112,111,112,112,110,111,109,109,107,107,105,104,104,101,102,100,101,100,100,101,102,102,104,105,
108,109,112,114,114,117,118,120,118,120,117,118,114,114,111,108,107,103,102, 97, 96, 91, 90, 85,
 84, 79, 78, 74, 74, 72, 69, 68, 66, 65, 64, 63, 62, 62, 63, 64, 67, 71, 73, 79, 84, 89, 95,101,
106,113,117,123,126,130,132,134,135,134,135,133,133,129,129,126,123,121,117,115,111,110,108,107,
106,106,105,107,109,110,114,117,122,125,130,134,137,141,144,145,148,149,149,150,149,149,148,146,
147,144,145,144,142,142,141,142,140,142,140,143,143,146,148,150,153,155,158,161,162,164,166,167,
168,168,170,170,169,169,167,166,163,160,157,154,152,146,144,139,136,132,128,126,122,118,116,113,
112,111,111,113,113,117,118,123,125,130,133,137,139,143,144,146,146,147,146,145,143,142,141,138,
138,135,135,133,133,132,132,130,131,132,131,133,133,136,136,138,138,138,138,137,138,138,138,137,
137,136,136,134,131,129,125,123,121,116,115,111,111,108,108,107,107,106,107,107,110,112,114,120,
123,130,135,142,148,154,160,164,169,172,176,178,181,181,183,181,182,180,180,178,175,173,169,166,
161,158,152,149,143,140,134,131,126,124,121,119,118,117,117,117,117,118,119,121,122,125,127,128,
131,132,133,135,135,136,137,138,138,139,139,140,140,141,142,141,142,142,143,143,144,145,143,145,
143,145,144,144,141,142,140,138,137,134,133,129,128,123,121,116,112,108,104,101, 96, 93, 90, 88,
 85, 84, 82, 82, 81, 81, 80, 82, 81, 84, 83, 87, 88, 90, 92, 94, 95, 98, 99,102,105,107,109,110,
111,113,115,116,117,116,118,115,116,113,112,108,107,103, 98, 96, 91, 89, 85, 83, 81, 79, 78, 77,
 78, 79, 78, 81, 80, 83, 83, 86, 86, 88, 89, 90, 91, 92, 93, 93, 93, 93, 92, 92, 91, 91, 90, 91,
 90, 89, 90, 91, 91, 94, 96,101,103,109,115,120,126,131,135,141,145,150,153,157,160,162,163,164,
164,163,161,159,156,154,150,147,143,139,135,131,127,124,121,117,116,113,112,112,111,113,112,116,
117,119,123,126,128,133,135,139,142,146,149,153,156,159,162,162,165,165,168,167,168,166,166,163,
161,158,157,155,151,151,149,150,148,150,150,149,150,149,150,149,150,149,149,148,146,144,141,138,
135,132,128,126,123,122,120,119,118,118,117,118,119,120,120,123,124,128,129,134,136,142,145,149,
152,154,158,160,163,164,166,167,167,167,166,165,163,161,158,153,150,144,141,135,131,127,122,120,
117,115,114,114,113,115,114,117,117,121,122,123,126,128,130,133,134,138,139,143,144,147,150,150,
153,152,155,155,155,156,157,155,156,153,154,153,151,149,149,149,148,148,146,147,146,147,145,147,
145,147,145,146,145,144,143,141,140,137,136,133,131,128,127,123,122,119,119,116,116,115,113,114,
112,113,112,114,115,116,118,119,121,123,125,127,129,131,131,134,134,136,136,136,137,135,137,134,
135,133,131,129,127,126,123,121,117,115,113,109,107,105,103,100, 98, 97, 93, 92, 89, 89, 87, 85,
 85, 84, 85, 84, 86, 86, 88, 87, 90, 89, 92, 92, 91, 92, 91, 92, 91, 91, 90, 91, 91, 90, 92, 92,
 94, 96, 96,100,101,104,107,110,112,115,116,119,119,122,123,124,125,124,123,121,119,116,113,109,
105,101, 97, 93, 90, 85, 83, 80, 79, 77, 77, 78, 78, 81, 82, 87, 89, 95, 99,103,110,114,121,126,
133,137,144,147,153,156,159,163,165,167,168,167,168,166,165,163,159,158,153,151,147,145,141,141,
138,137,135,134,133,132,131,131,129,129,128,129,128,129,130,131,130,131,130,131,130,128,129,126,
127,124,125,122,123,122,120,121,121,123,123,126,129,132,134,140,142,147,150,154,157,160,161,163,
162,163,163,161,160,157,157,153,151,147,145,140,138,133,130,126,124,120,118,115,115,112,112,111,
110,111,110,110,112,112,114,116,119,121,125,127,131,134,136,138,140,141,142,141,142,142,142,141,
141,141,141,141,142,142,142,144,144,146,146,148,148,151,152,153,153,154,155,155,156,156,156,155,
156,155,155,154,153,151,150,147,147,143,142,138,137,134,131,129,126,125,124,123,122,123,123,125,
125,127,129,132,134,138,140,144,147,150,152,153,157,158,159,160,160,161,160,159,160,158,156,154,
152,150,148,145,142,140,136,133,131,129,125,124,119,119,115,115,112,112,110,110,109,109,109,108,
109,108,109,109,109,109,110,111,111,113,113,114,115,115,116,116,117,117,118,118,117,119,117,119,
118,118,118,118,119,119,119,119,120,119,120,118,118,117,114,113,110,108,106,101, 99, 95, 91, 88,
 84, 82, 78, 77, 74, 74, 71, 72, 71, 73, 73, 77, 79, 82, 86, 90, 95,100,104,107,112,116,119,121,
123,123,126,126,126,127,126,126,124,124,121,121,118,118,117,116,114,115,113,115,114,116,115,117,
117,120,120,123,124,126,128,130,132,132,135,135,137,135,137,135,136,134,134,132,132,130,131,130,
130,128,128,128,129,128,130,131,132,134,134,138,139,142,143,147,147,151,151,154,154,156,157,156,
157,156,154,152,149,146,143,138,135,130,127,122,120,118,115,114,113,113,112,112,113,114,115,116,
118,120,121,123,123,126,126,128,129,128,130,130,130,131,132,131,133,132,135,135,136,136,137,136,
135,136,135,136,135,135,134,134,132,134,132,134,132,134,133,134,132,132,131,128,128,125,124,122,
120,117,115,113,112,109,109,106,107,105,106,107,106,109,109,112,114,116,120,123,126,130,134,137,
142,145,150,153,157,159,163,164,168,168,170,171,171,170,169,167,165,162,158,155,152,148,144,139,
137,134,131,129,127,124,124,123,122,121,122,123,123,123,125,126,127,128,128,130,132,133,135,136,
138,140,142,144,147,148,150,151,151,153,153,155,154,155,155,154,154,155,152,154,151,151,149,149,
146,146,145,142,142,139,137,136,134,133,130,128,126,124,122,120,118,114,113,110,107,104,102, 99,
 97, 96, 93, 93, 91, 92, 91, 94, 94, 97, 99,103,105,109,111,115,117,120,122,125,127,129,129,131,
130,131,128,127,125,121,119,115,112,109,105,104,100,100, 97, 97, 95, 96, 95, 96, 96, 97, 96, 98,
 97, 98, 97, 98, 99, 99, 99, 99, 98, 99, 99, 99, 99, 99, 99, 99,100,101,100,103,103,105,106,110,
112,115,117,122,124,130,134,137,142,145,150,153,156,158,161,161,164,164,164,162,163,160,159,156,
152,149,146,141,138,134,129,127,122,120,116,115,112,111,108,109,108,110,109,112,113,117,118,121,
125,127,131,134,136,139,141,141,144,144,146,145,147,145,146,144,145,144,142,142,141,142,141,140,
141,140,141,141,139,140,139,137,136,134,133,131,129,126,125,122,122,119,118,116,114,113,111,110,
109,108,106,105,103,104,102,103,102,104,104,108,108,112,114,119,121,125,128,130,134,136,139,140,
141,143,143,144,144,144,145,142,143,140,140,137,136,134,131,129,127,125,123,122,119,119,117,117,
114,116,113,115,114,116,115,118,119,122,124,125,129,130,134,135,139,140,142,144,145,146,146,147,
147,147,147,146,146,145,146,146,146,146,147,147,146,148,147,149,147,149,148,148,148,147,148,146,
147,145,146,145,144,143,142,140,138,137,134,133,132,129,128,125,124,122,120,120,118,119,116,118,
117,117,118,119,120,121,123,124,126,127,130,132,133,136,138,140,142,144,145,146,147,146,145,142,
140,136,134,130,127,122,119,117,113,111,107,106,103,102,100, 99, 99, 99, 99, 98,100,101,102,103,
104,106,108,107,109,107,108,108,107,106,106,105,105,104,105,104,106,106,108,109,111,113,116,118,
121,123,126,127,129,130,132,132,134,133,135,134,133,133,131,130,127,126,122,120,116,114,109,107,
104,102, 99, 99, 98, 96, 97, 97, 99,101,101,105,108,110,114,117,122,126,129,134,138,142,145,149,
151,154,156,159,161,163,163,164,163,163,161,160,157,156,152,151,147,147,144,142,141,139,138,137,
135,136,134,134,133,133,133,131,132,131,131,129,129,127,127,125,124,123,120,120,118,118,118,117,
118,118,120,120,123,125,127,130,131,134,135,138,138,141,141,144,144,146,146,148,149,149,149,149,
148,148,146,145,142,140,136,134,130,127,124,120,118,115,113,111,109,108,105,106,104,105,104,104,
105,105,106,108,108,110,112,113,115,116,117,120,121,123,125,127,129,131,133,133,136,136,138,137,
139,139,138,140,139,141,139,141,140,142,141,143,142,143,144,143,144,143,144,142,143,142,140,140,
138,137,134,132,130,128,126,124,122,121,118,118,116,115,115,114,115,115,117,118,120,121,124,126,
129,131,133,137,139,143,145,148,152,153,157,158,159,160,160,161,159,159,157,154,152,149,146,144,
139,137,132,129,126,122,119,115,113,109,108,105,105,104,103,104,104,106,107,107,110,109,112,112,
112,113,113,114,114,115,114,115,113,114,113,114,112,114,112,114,113,115,115,117,118,118,120,120,
122,123,124,125,125,126,126,126,125,124,122,121,117,115,111,109,105,103,100, 96, 94, 92, 90, 89,
 86, 87, 85, 86, 86, 87, 87, 89, 90, 93, 96, 99,101,105,108,111,115,116,120,121,124,126,127,129,
130,129,131,130,130,129,129,128,128,127,127,126,128,128,128,130,130,132,131,133,134,135,135,137,
137,137,140,140,142,143,144,143,145,144,145,143,144,141,141,140,137,137,136,135,135,134,135,136,
136,138,139,140,141,144,145,148,150,152,155,156,157,159,160,159,160,159,159,158,156,156,153,152,
149,148,145,144,141,140,137,136,134,132,130,128,126,125,122,122,120,119,119,118,119,118,120,121,
122,122,125,125,128,127,129,130,131,131,131,133,132,133,132,133,132,133,133,132,133,132,132,132,
132,132,131,131,129,130,128,128,126,127,124,125,124,122,123,122,121,121,121,121,120,119,118,118,
117,115,116,114,113,114,112,113,112,114,114,114,116,117,120,122,125,128,129,133,135,138,140,144,
147,148,151,152,153,155,156,155,156,154,155,153,153,151,148,146,143,141,138,137,134,132,128,128,
124,124,121,119,119,118,118,117,119,120,120,122,124,124,126,128,129,131,132,134,136,136,139,139,
141,142,140,142,140,141,138,139,136,136,133,134,131,132,130,131,130,130,129,129,131,129,131,129,
131,130,129,129,129,126,126,123,122,120,116,115,111,107,105,101,100, 97, 96, 94, 94, 93, 92, 94,
 95, 95, 98, 99,102,104,107,110,112,116,118,120,122,123,124,125,125,126,126,126,126,124,124,122,
121,118,117,115,114,112,111,109,109,107,107,106,104,105,103,103,102,103,102,103,103,102,104,103,
103,104,103,103,102,102,102,101,101,100,101,100,102,102,105,106,107,110,111,115,117,119,123,125,
129,131,135,138,143,146,149,151,155,156,159,160,159,160,159,159,156,155,152,150,145,143,138,136,
133,130,127,124,123,120,120,120,119,120,120,121,123,123,125,127,128,130,130,131,133,135,135,138,
138,140,141,142,145,145,148,148,150,149,151,151,150,151,149,150,149,148,148,148,146,147,145,145,
143,144,142,142,140,140,139,137,137,136,135,133,133,130,130,127,127,124,123,121,121,119,118,118,
116,116,115,115,114,116,116,116,117,118,118,121,121,124,125,126,128,131,132,134,136,138,140,139,
141,140,142,140,141,139,139,136,136,133,132,129,128,126,125,123,123,121,121,120,119,118,119,118,
118,118,119,119,121,122,123,125,125,127,129,129,133,132,135,135,138,137,139,139,141,141,140,141,
140,141,141,140,141,140,141,141,142,141,142,143,143,142,143,142,143,142,144,144,145,146,147,146,
148,147,146,146,145,143,142,139,137,134,131,130,127,126,122,122,120,118,118,116,117,116,117,117,
120,120,124,126,128,130,132,135,136,139,139,141,141,142,140,141,140,137,136,134,132,129,128,125,
124,121,120,119,117,117,114,115,113,113,111,112,111,111,110,111,110,111,110,111,110,110,110,110,
109,108,108,108,107,106,105,104,104,103,103,103,103,103,104,104,105,105,108,108,110,111,113,113,
115,114,117,116,117,116,118,116,117,117,117,116,115,115,114,113,112,111,110,109,108,107,105,105,
103,104,104,103,105,105,107,108,109,112,114,116,119,121,125,127,131,132,136,138,138,140,140,142,
142,141,142,141,142,140,141,141,139,140,139,140,139,140,139,140,137,138,135,136,133,133,132,130,
130,128,128,128,127,127,128,126,128,126,128,127,127,127,126,127,126,127,126,127,126,128,127,129,
127,130,129,131,130,132,133,133,134,134,136,136,136,138,138,139,140,139,139,140,139,140,139,139,
138,138,136,136,133,133,130,129,126,125,121,121,118,116,115,113,112,110,110,110,109,110,111,110,
113,113,116,116,120,120,123,125,126,128,129,132,132,134,134,136,136,138,137,139,139,140,139,141,
140,141,140,141,140,141,140,141,141,141,140,140,140,141,142,140,142,142,141,141,140,140,138,138,
136,136,135,133,133,131,131,130,130,130,128,129,127,128,127,128,127,129,130,130,133,133,136,139,
142,145,149,150,154,155,159,159,162,161,163,163,161,161,158,157,153,152,147,146,141,140,134,133,
129,127,124,123,120,119,118,118,118,116,118,117,119,118,120,120,120,121,120,121,120,121,120,121,
121,120,121,122,122,122,121,123,124,124,125,125,127,127,127,128,128,129,130,129,130,129,130,130,
129,129,128,128,127,124,124,121,120,118,115,115,111,110,109,106,106,104,103,102,102,101,100,100,
100,100, 98, 99, 98,100, 99,101,101,103,103,105,107,107,110,110,113,113,116,117,117,119,119,121,
120,122,121,122,121,122,121,123,121,123,122,123,122,124,123,124,125,125,124,125,126,124,125,125,
123,123,122,122,121,119,120,118,119,118,119,118,120,120,122,123,122,125,124,126,125,127,126,128,
128,130,129,131,131,133,134,135,135,137,137,139,140,139,141,141,141,141,141,141,141,139,140,138,
138,137,135,136,135,133,133,131,131,129,129,127,126,124,124,122,122,122,121,121,120,121,121,123,
123,124,125,127,127,129,131,131,133,132,134,134,135,135,135,136,135,134,134,134,134,133,133,131,
131,130,130,130,128,128,128,126,127,125,126,125,125,123,124,122,123,122,121,121,121,120,121,120,
121,121,120,121,119,121,119,121,120,122,122,123,125,126,126,129,131,132,135,136,138,138,141,140,
143,142,144,144,145,145,146,145,144,145,143,143,141,141,139,139,136,136,135,133,132,131,131,130,
129,129,128,130,129,131,133,133,135,136,137,139,140,140,142,143,142,144,143,144,144,143,143,142,
140,141,139,140,138,139,138,139,138,139,138,139,138,139,138,139,138,139,137,137,136,135,134,133,
131,131,130,127,127,124,124,121,121,119,118,118,116,116,114,115,114,115,113,114,113,115,114,115,
115,117,117,119,119,120,120,122,122,123,123,124,124,123,124,123,124,123,124,124,123,124,123,124,
122,123,122,120,120,119,118,116,115,114,112,111,109,109,107,107,105,105,104,104,104,104,104,105,
104,105,106,105,107,108,109,110,110,112,113,115,117,118,120,123,123,127,127,130,131,133,135,136,
136,137,137,138,138,136,137,135,137,134,136,134,135,134,134,134,133,133,133,132,132,130,130,130,
128,127,126,124,123,122,121,120,119,118,118,117,118,117,119,118,121,120,123,122,125,125,128,128,
131,131,135,135,138,138,141,141,143,143,144,143,144,143,143,142,141,139,138,137,133,133,130,129,
127,126,124,124,122,122,121,121,120,120,119,119,119,119,118,119,118,119,118,120,119,120,120,120,
121,121,122,122,122,122,123,124,124,125,125,126,126,127,127,128,129,130,131,132,134,134,136,135,
137,136,137,137,136,137,135,135,132,133,131,130,130,128,128,127,126,125,125,123,123,122,122,122,
121,122,123,122,123,124,125,125,127,127,128,130,130,132,132,135,135,137,137,137,138,139,137,139,
139,138,139,138,139,138,139,138,140,139,141,140,142,141,142,141,142,142,141,141,139,139,138,135,
135,132,131,130,127,127,125,125,124,123,123,122,123,123,122,122,123,122,123,123,124,124,126,125,
128,127,129,129,130,130,131,131,133,132,133,133,135,135,134,135,135,135,134,135,134,134,133,133,
131,131,131,129,129,127,127,125,124,123,122,121,119,119,117,115,116,114,115,114,115,114,115,115,
117,116,118,119,119,121,121,121,123,122,123,124,123,125,124,125,125,126,124,126,124,125,124,125,
125,123,124,122,123,122,121,121,120,120,119,118,119,117,119,118,119,119,120,120,121,121,123,124,
122,124,124,123,123,123,123,123,122,123,122,123,122,123,124,123,126,125,128,129,130,132,134,134,
136,136,137,137,138,138,138,138,137,138,135,136,133,134,132,131,130,128,128,127,125,125,124,124,
123,123,124,122,124,122,124,123,125,124,126,126,126,128,128,128,129,129,130,129,130,130,130,129,
130,130,128,130,129,130,131,130,131,131,132,133,132,133,133,133,132,133,132,132,131,131,131,129,
130,128,128,126,126,126,124,124,122,122,120,120,119,118,117,116,116,116,115,116,116,117,117,119,
119,121,122,122,123,124,124,125,125,127,127,129,129,130,131,131,132,131,133,132,134,133,134,133,
134,134,134,132,133,132,133,131,132,132,131,132,132,130,131,130,131,129,130,129,129,128,128,127,
127,126,125,126,125,125,125,125,126,126,127,127,129,130,133,133,136,138,139,141,142,144,144,145,
145,144,145,143,144,142,142,140,141,138,139,137,137,136,134,134,133,133,131,132,130,131,129,129,
128,127,126,125,125,124,122,122,120,121,119,120,118,119,118,118,118,117,119,119,118,119,119,121,
122,122,124,124,126,127,127,129,128,130,130,131,129,130,128,129,127,128,126,126,125,123,123,121,
121,119,120,118,118,117,116,116,115,115,113,114,112,112,112,110,110,109,109,109,107,108,108,107,
109,108,110,111,110,112,112,114,113,115,114,116,116,117,118,119,120,122,124,124,126,126,129,130,
130,133,132,134,134,133,134,133,133,133,131,132,130,130,128,129,127,127,127,126,127,125,127,126,
127,127,127,128,127,128,128,129,128,129,128,130,128,130,129,129,129,129,129,130,129,131,130,130,
132,131,133,132,135,135,136,136,137,138,138,140,140,141,141,140,142,141,140,140,138,138,136,136,
133,132,129,129,127,125,125,123,123,122,122,120,122,122,121,122,122,124,124,125,126,127,127,128,
128,130,130,131,131,133,133,135,134,136,134,135,134,135,133,133,132,132,132,130,131,129,131,130,
130,130,130,131,130,131,130,131,130,130,130,129,130,129,130,129,129,128,128,128,128,127,127,127,
127,126,127,126,126,126,126,125,127,127,129,130,130,132,133,135,136,136,138,138,140,140,141,141,
142,141,142,141,141,141,138,139,136,136,133,133,131,131,131,129,130,129,131,131,131,131,132,131,
133,132,133,132,132,133,132,133,131,131,131,130,130,130,129,129,129,128,129,129,130,129,130,130,
131,130,131,131,130,131,130,131,131,130,131,130,131,130,131,130,129,129,129,128,128,128,126,126,
125,124,124,122,123,122,122,122,122,121,121,121,119,120,118,119,117,118,117,118,116,116,117,116,
116,117,117,118,117,119,119,120,120,121,122,122,123,124,123,124,123,124,123,122,122,120,120,119,
117,117,116,114,114,113,111,111,110,110,109,108,108,106,106,105,106,104,105,106,106,107,107,109,
109,111,113,113,115,116,117,119,118,120,119,121,121,120,121,121,122,122,123,123,123,124,124,125,
125,126,128,127,129,128,130,130,131,130,132,132,131,132,131,132,130,131,130,129,127,128,126,126,
124,125,123,124,123,123,122,123,123,124,124,125,127,128,130,131,132,133,135,135,138,138,141,141,
143,143,144,145,144,143,143,142,142,141,139,139,138,138,136,137,135,135,135,133,133,132,132,132,
130,131,130,131,130,131,130,131,130,129,130,129,129,128,128,127,127,125,126,125,124,125,124,125,
125,125,127,127,127,129,129,130,132,131,133,133,134,134,136,135,137,137,139,138,140,140,140,140,
140,139,139,137,137,136,134,134,132,132,130,130,128,129,127,127,127,125,126,125,126,126,126,128,
127,129,128,130,129,131,130,131,131,131,132,131,132,133,132,134,133,134,134,135,135,136,136,138,
137,139,140,139,140,139,140,139,139,139,137,137,136,136,135,133,134,132,132,131,131,131,129,130,
128,129,127,128,126,127,125,126,125,125,124,123,123,122,122,121,122,121,123,121,123,122,123,122,
123,124,124,125,126,125,128,127,129,130,130,130,131,130,131,130,129,128,128,127,125,125,122,122,
120,118,117,114,114,113,111,111,109,110,109,110,109,110,110,112,113,112,114,115,115,116,116,116,
117,118,117,119,118,119,118,120,118,119,119,118,119,117,118,116,116,116,115,115,114,114,115,114,
116,116,117,118,120,120,122,123,124,125,126,127,126,127,125,126,124,125,122,123,122,121,120,120,
118,118,117,118,117,118,120,119,121,121,124,124,125,127,129,130,132,132,134,135,136,137,137,139,
137,139,138,137,137,136,134,135,132,133,132,130,130,129,127,127,127,125,127,126,126,127,128,129,
129,130,131,131,133,132,133,133,134,133,134,133,134,134,132,133,131,132,132,131,130,130,130,128,
129,128,129,128,129,128,130,129,131,130,132,131,133,132,134,133,135,135,135,136,135,134,134,133,
133,131,131,130,128,129,126,127,124,125,124,122,123,122,122,122,122,123,123,125,125,126,128,128,
130,130,132,134,134,136,135,137,137,139,139,138,139,138,139,138,138,137,137,136,136,135,135,134,
134,133,133,133,131,131,130,131,131,129,130,129,130,129,130,130,130,130,130,130,129,130,129,130,
129,131,130,131,130,132,131,132,131,132,131,132,131,131,132,130,132,130,132,131,133,131,134,133,
135,136,136,137,136,138,136,138,137,136,136,136,134,134,133,131,130,128,128,125,125,122,122,121,
119,118,117,117,117,116,117,116,118,118,119,120,121,122,124,125,125,127,127,129,129,130,129,131,
129,131,128,129,126,127,124,124,123,121,121,119,120,117,119,117,118,117,118,118,118,119,119,120,
120,121,120,122,122,121,122,121,121,121,120,119,118,119,116,117,114,114,112,112,110,109,109,108,
108,106,108,108,108,110,111,113,114,116,119,121,123,125,127,128,130,130,131,131,132,131,131,130,
130,129,128,127,126,125,123,123,122,121,121,119,120,118,120,119,120,121,122,122,124,124,126,126,
128,129,128,130,129,131,131,132,130,132,131,131,130,130,128,129,127,128,127,127,127,128,128,129,
130,129,132,131,134,133,135,135,137,136,138,139,138,140,140,140,139,140,138,139,137,138,136,135,
134,133,130,130,129,126,126,124,124,123,122,122,121,122,122,122,123,122,125,125,126,126,128,128,
130,130,132,133,133,132,133,133,132,133,131,132,130,130,129,128,128,127,126,126,125,126,124,125,
124,124,125,125,125,126,125,127,127,128,128,128,129,129,128,129,128,129,128,129,128,129,128,127,
128,127,127,126,127,127,127,127,128,127,130,130,130,130,130,131,131,131,133,132,134,134,134,135,
135,136,136,138,137,139,139,139,140,141,139,140,139,138,138,136,136,135,133,133,131,131,130,130,
129,129,129,129,130,130,130,131,132,133,133,134,134,135,134,136,135,136,136,135,135,134,134,133,
133,133,131,131,130,130,128,128,127,127,126,126,125,125,126,125,127,126,128,128,128,129,129,129,
130,130,128,129,127,128,126,126,124,122,121,119,119,117,117,116,114,114,113,114,113,114,113,114,
114,115,117,117,117,119,119,121,121,123,124,124,126,127,126,127,127,126,126,125,125,123,123,120,
119,117,116,114,113,111,111,109,110,109,109,110,110,112,113,113,115,115,118,118,120,120,122,122,
122,124,123,125,124,125,124,125,124,125,124,125,124,125,126,126,127,126,126,127,126,127,127,128,
129,129,130,131,132,132,133,133,133,133,133,133,132,131,130,129,129,128,126,127,125,125,123,124,
122,123,122,122,122,122,122,123,122,123,123,124,125,127,128,130,132,132,135,136,136,137,138,138,
138,138,138,137,137,137,136,135,135,133,133,133,131,131,130,130,129,128,128,127,127,125,127,125,
127,125,127,126,127,128,127,128,127,128,127,128,126,127,126,127,125,126,125,126,124,126,125,126,
126,127,128,128,131,132,132,134,135,136,137,139,141,142,143,145,147,147,149,149,150,150,149,147,
147,146,145,144,143,141,139,136,134,131,127,126,123,122,120,120,118,118,118,118,118,119,119,120,
122,122,125,126,128,131,133,137,139,141,144,145,147,149,148,151,151,151,151,150,149,147,146,144,
141,140,138,137,135,134,133,132,130,130,128,127,127,124,124,121,121,118,118,115,115,113,113,112,
110,111,109,109,106,107,104,104,102,102,100,100, 98, 98, 98, 96, 97, 96, 98, 97,100, 99,102,102,
102,103,103,104,105,106,106,107,106,108,107,108,107,107,107,107,107,106,107,108,107,108,108,109,
108,110,109,109,109,108,109,108,110,110,110,111,113,112,114,115,117,118,119,121,122,125,125,129,
130,134,134,138,139,141,143,144,146,146,148,147,149,147,148,147,146,146,145,145,145,145,144,145,
145,144,144,142,142,140,138,136,134,131,129,126,122,121,118,117,113,112,109,108,106,106,104,104,
105,105,105,107,108,110,112,115,116,119,120,123,124,127,128,130,130,131,130,131,130,129,129,128,
127,126,125,125,125,124,125,124,125,125,124,126,126,128,129,131,132,134,136,138,139,141,142,142,
144,144,146,146,147,149,149,151,151,153,152,154,153,154,153,154,153,152,151,151,150,151,150,150,
149,150,150,149,150,150,152,152,152,153,153,152,152,152,150,151,150,151,149,151,150,150,151,149,
150,150,149,151,152,151,153,153,154,154,155,154,154,153,152,151,150,148,147,145,142,142,140,139,
137,137,136,135,136,135,136,136,138,138,140,141,141,143,144,144,146,146,148,147,149,149,148,149,
148,148,146,146,145,144,143,141,140,138,139,137,137,135,135,133,133,131,130,128,126,124,123,121,
119,116,114,111,109,105,104,101,101, 99, 99, 97, 98, 96, 97, 95, 96, 96, 95, 95, 95, 94, 96, 95,
 96, 96, 97, 97, 96, 98, 96, 97, 94, 95, 93, 94, 92, 91, 91, 89, 89, 87, 87, 86, 85, 84, 83, 83,
 83, 85, 85, 88, 89, 92, 93, 96, 97,100,101,104,105,107,108,110,110,112,112,112,112,111,111,109,
109,108,108,107,108,107,108,108,108,109,109,111,113,114,117,119,122,123,126,127,130,131,133,135,
135,137,138,138,139,138,139,139,138,137,134,133,131,130,127,126,123,123,121,120,120,118,119,118,
116,117,116,115,115,114,115,115,114,116,115,117,117,120,121,122,124,125,127,128,130,129,130,129,
129,128,125,125,122,122,119,119,117,116,115,115,114,115,115,114,116,116,115,117,116,117,116,118,
118,120,119,121,121,123,124,125,127,129,129,132,133,135,135,137,137,139,139,141,143,145,147,148,
150,150,151,152,154,155,156,156,158,158,159,158,159,159,156,157,154,155,152,153,151,152,151,151,
149,150,149,149,149,148,147,147,147,148,148,150,152,153,155,156,158,158,160,162,162,164,163,165,
165,164,164,162,160,158,155,153,149,147,144,143,141,140,138,138,137,137,137,138,137,139,139,141,
141,144,144,146,146,148,148,150,149,151,151,151,152,152,154,153,154,153,154,152,152,150,149,147,
145,142,141,137,136,132,131,127,125,121,120,116,116,113,111,111,109,108,106,106,103,103,101, 99,
 99, 98, 97, 98, 96, 97, 97, 98, 97, 98, 97, 97, 98, 96, 96, 95, 95, 94, 92, 93, 91, 92, 91, 92,
 91, 92, 92, 93, 93, 95, 95, 95, 97, 97, 99, 99,101,101,103,103,105,106,108,109,110,113,114,116,
117,117,119,120,119,120,119,119,118,118,117,117,115,115,114,116,115,117,117,119,119,122,124,125,
127,127,129,130,130,132,131,132,131,133,132,133,132,133,133,132,133,133,133,133,133,132,132,131,
130,130,128,128,126,126,124,124,122,120,118,115,114,112,108,107,104,103,102,101,101,100,102,103,
104,105,106,109,111,113,115,116,119,119,122,124,124,126,126,128,127,128,126,127,125,126,124,126,
124,125,123,123,121,121,119,119,118,118,119,118,120,119,121,122,121,123,123,125,126,128,129,131,
132,134,135,137,137,140,139,141,141,140,142,141,142,143,143,144,144,144,144,143,142,142,141,141,
143,142,144,145,145,147,148,150,150,151,152,152,153,153,154,154,155,156,155,157,156,157,156,158,
157,158,158,159,158,159,160,158,159,156,156,154,152,150,148,146,144,142,140,139,138,135,135,133,
134,133,133,132,133,133,135,135,137,138,139,140,141,141,143,143,145,145,148,148,150,149,151,151,
151,152,151,152,151,152,151,151,150,150,149,148,146,145,143,143,141,141,138,138,135,135,132,131,
127,126,121,119,116,112,109,105,104,100, 99, 96, 97, 95, 95, 95, 96, 95, 97, 96, 98, 99,100,101,
102,102,104,103,105,104,105,104,105,105,105,104,104,104,103,102,100,100, 99, 98, 98, 97, 97, 97,
 98, 97, 99,100,101,103,104,107,108,111,112,114,115,117,115,117,115,115,114,113,110,110,108,108,
106,107,106,108,108,110,111,111,113,114,117,118,119,122,123,125,128,128,131,132,135,136,139,140,
143,145,145,147,146,148,146,147,145,143,143,140,139,136,135,132,130,127,125,122,120,117,114,112,
109,108,107,107,106,107,107,109,109,111,112,114,116,118,120,122,125,127,128,128,130,130,129,130,
128,129,128,126,127,126,124,124,123,121,121,119,120,119,118,119,118,119,118,120,119,118,119,118,
117,118,117,118,118,120,120,120,122,122,122,123,123,122,123,124,124,125,125,126,126,128,128,130,
130,131,131,133,133,134,134,136,137,137,139,139,141,141,142,143,144,144,145,145,146,147,145,146,
145,146,146,144,146,145,147,147,149,150,153,154,156,157,158,159,160,159,160,159,160,159,159,158,
155,155,151,150,147,146,142,142,138,137,134,134,131,131,129,129,129,128,130,131,131,133,134,136,
137,137,140,139,141,142,142,143,144,143,145,145,146,145,145,146,144,145,144,142,140,140,137,137,
134,134,132,131,128,128,125,124,121,118,117,114,113,112,111,109,108,107,106,106,105,106,106,108,
108,108,110,110,111,112,111,113,111,112,110,110,108,108,106,106,105,103,102,101, 99, 99, 98, 96,
 97, 96, 95, 96, 95, 97, 96, 98, 97, 98,100,100,102,104,105,109,110,114,114,116,118,118,120,119,
120,119,118,118,117,116,115,113,114,112,113,112,113,115,115,117,119,119,122,123,124,127,128,131,
132,133,135,135,137,138,139,142,141,143,143,144,143,144,143,143,142,143,143,141,142,140,141,140,
139,139,137,136,135,133,133,132,130,129,127,127,125,123,123,121,121,120,121,121,121,121,123,122,
125,124,127,127,130,130,132,132,135,134,136,135,134,135,133,133,132,132,131,131,130,129,129,127,
127,126,125,123,123,120,120,118,117,117,116,117,116,116,117,116,117,116,118,119,120,122,124,124,
127,129,129,131,131,134,133,135,135,137,136,138,137,138,137,138,138,137,138,136,137,136,137,136,
137,137,136,137,135,135,134,134,134,133,134,135,135,137,137,140,141,142,145,147,149,150,153,156,
156,159,159,161,162,161,162,161,162,161,159,159,157,156,153,152,149,148,144,143,140,139,137,137,
135,136,136,136,137,137,138,139,138,140,138,140,139,140,140,139,140,139,139,139,138,139,138,137,
138,136,137,135,136,135,133,133,132,132,131,129,128,126,126,124,124,123,120,120,118,118,116,115,
113,112,109,109,107,105,104,101,100,100, 98, 98, 96, 95, 97, 95, 96, 95, 97, 96, 98, 97, 99,100,
100,100,101,101,100,102,100,102,101,101,100, 99, 98, 96, 96, 94, 94, 93, 93, 93, 93, 92, 94, 94,
 97, 97,101,102,106,107,111,112,115,115,118,119,119,120,119,121,119,121,119,120,118,120,117,119,
117,118,116,117,116,116,118,117,120,120,122,122,125,125,128,129,130,132,134,135,138,138,141,142,
144,146,146,148,149,150,149,150,149,150,148,147,146,143,142,139,137,134,131,129,127,125,123,122,
120,120,119,119,119,120,120,122,122,124,126,127,130,132,134,136,136,137,137,136,136,134,134,132,
132,131,129,128,127,125,124,123,121,121,120,120,119,120,120,119,121,121,120,121,121,120,121,120,
122,121,122,122,123,124,123,124,123,124,124,124,123,124,124,125,124,125,125,124,125,124,125,125,
126,127,127,129,131,131,134,134,136,137,138,140,140,141,141,142,141,142,142,142,141,141,141,141,
140,141,141,142,143,143,146,147,148,149,150,152,154,154,157,157,158,160,160,160,161,159,159,158,
157,154,153,151,148,147,144,143,140,140,138,138,136,136,136,134,135,134,135,134,136,135,137,136,
138,138,140,139,142,142,144,145,145,147,147,147,148,147,148,148,145,146,144,141,140,138,137,134,
133,129,129,125,124,121,120,117,117,114,113,111,108,107,105,103,102,100,101, 99,100,100,100,100,
101,102,102,103,103,102,104,103,104,103,103,102,102,100,101, 98, 99, 97, 97, 94, 95, 93, 92, 93,
 92, 93, 92, 94, 94, 94, 96, 97, 99,101,103,104,107,108,110,111,112,113,112,113,112,112,111,111,
111,110,110,108,108,106,107,105,106,105,106,106,107,108,109,112,114,117,118,122,122,126,128,132,
133,137,138,141,141,144,144,147,147,148,150,150,153,153,156,156,156,157,156,156,153,152,148,146,
143,142,139,138,135,132,131,128,127,125,125,124,125,126,128,131,132,135,136,136,138,138,141,141,
141,140,139,138,136,135,132,129,126,124,122,120,118,118,117,118,117,120,122,124,127,130,131,136,
139,142,146,148,150,151,151,152,152,151,149,147,144,138,135,129,123,117,110,104, 98, 93, 89, 87,
 84, 84, 83, 84, 87, 89, 93, 97,102,107,113,119,127,135,141,147,151,156,159,163,165,167,166,165,
162,159,154,148,141,134,126,120,115,111,107,106,104,105,106,111,115,120,127,133,141,148,157,165,
173,180,185,189,191,194,194,195,193,191,187,183,177,169,161,151,141,129,121,111,106, 98, 94, 90,
 88, 87, 89, 91, 95,100,105,111,118,127,135,143,152,160,165,172,175,180,182,185,185,186,186,184,
182,175,170,162,154,147,139,132,125,117,111,105,102, 98, 97, 95, 94, 94, 96, 99,101,107,110,116,
120,124,127,131,133,135,135,137,136,137,135,131,127,120,115,108,101, 95, 89, 83, 78, 74, 72, 71,
 71, 71, 73, 74, 77, 79, 84, 89, 94, 99,104,109,111,116,117,120,122,122,124,125,125,122,121,116,
112,105,101, 96, 91, 86, 82, 76, 74, 71, 69, 70, 70, 72, 73, 77, 79, 86, 90, 97,101,108,113,120,
125,129,134,136,141,144,146,149,149,148,145,142,138,132,127,124,121,116,115,113,113,116,117,121,
124,129,132,138,143,148,154,158,163,166,170,172,172,171,169,167,166,162,161,156,152,145,140,133,
126,120,115,107,103, 97, 95, 95, 95, 97, 99,103,106,112,117,124,130,138,143,151,157,162,167,169,
172,173,173,174,173,173,170,166,161,153,148,140,131,124,115,107,100, 95, 90, 87, 84, 84, 82, 85,
 86, 91, 95,100,106,113,119,127,132,136,140,143,146,147,149,151,151,151,150,145,143,137,134,128,
124,117,111,108,103,100, 96, 95, 92, 93, 94, 95, 99,102,108,114,118,126,131,138,141,147,151,156,
160,163,168,170,172,172,170,169,166,163,158,152,146,139,135,130,125,122,119,115,115,114,116,118,
121,126,129,136,141,148,152,159,161,165,167,171,173,176,176,177,175,171,169,163,158,150,144,135,
130,122,118,113,108,105,103,102,104,105,109,112,118,125,130,138,143,151,155,160,164,167,169,173,
173,173,171,169,164,160,154,148,139,131,122,115,108,100, 95, 88, 85, 81, 79, 79, 79, 82, 83, 88,
 92, 98,102,109,114,120,123,128,132,134,138,140,139,139,137,133,131,124,119,111,104, 95, 89, 82,
 75, 70, 65, 62, 61, 59, 61, 62, 66, 70, 75, 82, 89, 95,103,109,115,120,126,130,135,138,142,144,
144,144,142,141,137,134,128,123,120,114,112,108,104,103,100,100, 99,100,100,101,105,108,112,118,
122,129,133,137,142,145,150,154,158,160,163,164,166,166,166,162,160,153,149,143,137,131,125,119,
115,110,109,107,105,106,106,110,112,118,123,129,135,142,146,153,158,162,168,171,174,177,178,179,
178,177,174,168,164,156,150,143,136,129,122,116,111,105,104,100,100, 99,100,102,106,109,113,118,
120,125,126,131,133,135,137,137,139,139,141,140,140,138,135,132,128,123,120,115,112,107,104,102,
100,100,100,102,103,107,110,116,121,128,131,137,140,145,147,151,151,153,152,151,151,148,146,141,
138,130,125,118,111,105,100, 93, 89, 85, 82, 81, 81, 81, 84, 87, 94,101,108,118,125,134,141,149,
155,163,167,172,174,178,180,180,182,180,179,174,171,164,159,150,144,135,128,119,113,108,102, 99,
 94, 94, 92, 94, 97,101,105,111,115,122,127,134,138,144,148,150,154,156,159,160,160,160,158,156,
154,148,145,138,134,128,122,116,112,108,105,101,100, 99,101,104,106,112,114,120,125,131,135,140,
142,146,147,149,149,149,148,147,144,141,138,131,128,120,115,108,101, 94, 88, 81, 76, 70, 67, 63,
 62, 63, 63, 66, 68, 74, 78, 84, 91, 99,104,112,117,124,129,133,138,141,144,145,145,144,142,140,
135,131,126,120,115,108,102, 97, 91, 87, 83, 82, 80, 82, 83, 87, 92, 96,102,108,114,120,125,130,
135,139,143,147,149,150,150,148,147,143,140,134,131,124,121,116,114,110,109,106,106,106,109,111,
115,121,125,133,140,147,154,161,167,172,177,181,184,186,188,190,189,186,185,180,177,170,164,155,
149,140,134,126,118,112,105,101, 98, 97, 96, 98,100,105,109,114,120,127,134,141,146,154,158,165,
168,174,177,179,180,181,180,177,175,169,165,158,151,144,137,130,122,117,110,107,104,101,101,102,
102,106,109,113,118,122,127,130,135,139,142,146,147,150,151,151,152,149,148,143,139,133,127,121,
115,109,102, 96, 90, 86, 81, 80, 79, 78, 80, 82, 86, 92, 96,105,111,118,126,134,141,150,157,164,
169,176,180,182,186,184,184,181,176,172,165,159,151,141,134,125,118,110,105, 99, 96, 93, 93, 92,
 95, 97,101,104,108,112,117,122,127,132,137,140,145,148,152,154,154,154,152,150,147,144,141,135,
132,127,124,120,117,116,113,114,114,117,120,124,129,133,138,142,147,150,154,157,159,159,160,159,
159,157,153,150,145,139,134,125,119,110,103, 93, 86, 78, 71, 66, 62, 57, 56, 55, 57, 60, 66, 71,
 78, 84, 92, 99,107,114,122,127,133,136,141,143,146,147,146,144,142,138,135,129,125,119,112,106,
100, 93, 89, 84, 79, 78, 75, 76, 76, 79, 83, 86, 89, 94, 97,102,107,111,116,118,122,126,127,129,
130,129,129,127,125,122,120,116,113,108,105,101, 97, 95, 92, 91, 91, 91, 94, 97,103,109,113,122,
127,137,143,152,157,165,170,177,181,185,187,189,188,187,183,179,173,167,159,151,143,133,126,118,
112,104, 99, 94, 93, 91, 92, 94, 97,101,106,113,117,124,129,136,141,148,154,158,164,168,172,174,
176,175,177,174,174,169,167,163,158,155,149,146,140,137,133,132,131,130,130,131,130,133,133,136,
136,140,141,142,144,145,147,147,148,147,145,144,142,138,136,131,128,121,118,112,110,105,101, 99,
 96, 96, 97, 98,102,105,110,116,120,128,133,139,146,151,157,161,166,170,172,174,174,172,172,169,
167,162,157,150,145,137,132,126,120,114,107,104,100, 99, 97, 98, 98,101,104,108,111,115,120,124,
129,133,138,143,148,150,154,155,157,157,158,156,153,151,147,143,139,135,130,127,122,119,116,113,
113,112,113,114,118,121,125,129,133,137,141,144,146,151,152,156,156,158,157,158,157,155,152,147,
142,136,130,124,116,109,101, 95, 89, 83, 80, 76, 75, 74, 76, 78, 80, 85, 88, 94, 99,103,109,114,
120,124,130,134,138,142,145,148,149,150,149,148,145,142,137,132,126,117,111,104, 96, 90, 83, 79,
 74, 72, 68, 69, 68, 68, 70, 71, 74, 77, 81, 85, 88, 93, 97, 99,104,106,111,112,113,114,113,113,
111,107,104,101, 97, 93, 89, 85, 83, 82, 80, 82, 83, 85, 90, 94,100,106,112,119,124,132,138,143,
149,153,157,160,162,163,162,161,159,156,153,147,144,137,134,127,123,116,112,107,105,102,100,101,
100,103,104,108,109,114,116,122,125,131,134,140,143,149,153,156,160,161,164,164,164,164,162,161,
158,156,153,148,146,142,140,137,133,133,131,132,131,134,134,138,138,142,143,147,148,151,153,153,
155,155,156,154,154,151,148,146,142,139,135,129,126,119,116,110,106,104,100, 99, 98,100,101,105,
108,115,119,126,133,140,146,154,159,167,172,179,182,187,190,190,192,190,190,186,183,178,172,165,
157,149,140,132,123,116,108,103, 97, 95, 92, 92, 90, 93, 93, 98,102,107,111,117,122,129,133,140,
143,149,153,155,158,159,162,162,162,161,160,157,154,152,148,147,143,142,139,140,139,139,141,141,
143,145,147,150,150,154,154,157,157,159,160,159,160,157,156,153,149,144,140,134,129,122,115,108,
103, 96, 92, 87, 85, 83, 82, 83, 84, 88, 90, 96,100,107,112,119,124,131,136,143,148,153,158,161,
165,166,168,167,165,162,159,152,148,140,134,127,118,112,104, 99, 93, 88, 85, 82, 81, 80, 80, 80,
 83, 84, 86, 89, 91, 92, 95, 96, 99,100,102,102,102,102,102, 99, 98, 94, 92, 88, 86, 81, 79, 75,
 73, 71, 69, 70, 70, 73, 75, 80, 83, 90, 94,101,106,114,118,125,130,136,140,145,147,150,150,151,
151,148,147,142,139,133,127,118,111,103, 94, 85, 77, 69, 64, 59, 55, 55, 54, 56, 60, 64, 70, 79,
 86, 96,104,116,125,137,145,154,163,170,177,181,186,187,190,188,188,184,182,176,170,164,157,150,
144,137,131,127,123,121,118,118,119,119,121,122,123,127,128,132,135,138,140,143,143,146,146,147,
146,145,145,141,140,135,131,126,120,115,110,106,103,100,100, 99,101,103,107,111,117,123,128,135,
141,149,154,162,167,173,177,182,185,186,187,186,186,183,179,172,167,158,151,142,132,124,116,109,
102, 97, 92, 90, 89, 90, 90, 93, 95,100,105,109,115,120,126,132,135,141,145,150,153,156,157,160,
161,160,162,159,159,155,153,149,147,145,142,141,139,139,140,141,142,144,147,149,153,156,160,164,
166,170,171,173,174,174,174,172,169,167,163,159,155,149,142,136,129,120,114,106,100, 94, 90, 85,
 83, 81, 82, 84, 85, 90, 94, 99,106,112,120,128,136,145,152,161,167,175,179,184,188,189,190,188,
187,182,178,172,163,156,147,139,129,121,112,104, 98, 91, 87, 82, 81, 78, 78, 77, 79, 80, 82, 86,
 88, 92, 95,100,103,107,110,114,117,117,120,120,121,119,116,113,109,106,101, 98, 93, 90, 88, 86,
 84, 85, 85, 87, 88, 92, 95, 99,102,108,112,118,121,126,130,132,133,135,134,134,133,129,127,121,
116,108,103, 94, 87, 80, 72, 66, 60, 57, 54, 53, 52, 53, 54, 59, 61, 67, 71, 79, 85, 93, 99,108,
115,124,131,137,145,151,157,163,167,172,173,175,175,173,172,169,165,159,156,151,148,144,140,138,
135,134,132,130,129,128,128,127,128,129,130,131,133,133,134,134,136,135,137,135,136,133,132,128,
126,121,119,114,112,110,107,107,107,109,110,115,118,122,128,133,140,146,152,158,163,170,174,179,
181,185,186,188,187,187,185,180,177,170,165,156,149,138,130,120,112,102, 96, 88, 84, 78, 76, 74,
 72, 74, 75, 76, 81, 84, 90, 96,103,111,117,125,131,139,145,151,158,162,167,168,171,171,169,167,
163,161,157,151,148,143,141,137,136,135,133,134,133,136,137,140,141,145,146,151,152,156,157,158,
160,160,162,160,161,158,157,153,150,144,139,132,127,119,114,107,104, 98, 97, 94, 95, 95, 97, 99,
103,106,112,118,124,132,138,147,152,160,166,170,176,179,181,184,184,185,183,181,177,172,167,159,
152,144,135,128,120,114,108,104, 99, 97, 93, 93, 91, 92, 91, 94, 95, 99,101,105,107,112,114,118,
120,123,125,126,128,127,128,125,124,122,119,115,113,110,109,106,107,107,108,110,111,114,116,119,
121,125,128,131,133,135,136,137,137,137,136,134,132,128,127,122,119,113,109,102, 97, 89, 83, 77,
 70, 65, 60, 55, 52, 51, 50, 49, 51, 52, 56, 59, 65, 71, 77, 86, 93,102,109,118,125,133,139,146,
152,157,160,161,163,162,161,158,153,149,142,137,130,126,120,116,112,110,107,104,104,104,104,106,
108,112,115,120,123,129,132,136,139,143,145,146,149,148,149,147,144,142,137,132,129,123,120,115,
113,109,110,109,109,111,112,116,118,123,126,133,137,144,149,156,161,167,171,176,179,182,184,184,
185,184,180,177,171,166,158,151,141,133,125,115,109,101, 96, 90, 88, 85, 84, 83, 84, 86, 88, 92,
 95,101,105,112,116,123,127,133,138,143,148,151,156,157,160,160,162,160,160,157,156,152,151,148,
146,144,142,141,138,138,136,136,135,134,135,134,136,135,137,136,137,137,136,137,137,137,137,135,
135,132,131,127,125,120,117,113,110,107,105,103,103,104,105,106,110,112,117,123,127,134,141,147,
154,161,166,172,176,181,185,188,191,193,193,193,190,188,184,178,170,163,154,146,137,130,121,115,
108,104, 99, 95, 91, 91, 88, 90, 91, 92, 95, 98,103,108,112,116,122,125,132,135,141,143,148,149,
153,152,153,151,150,147,143,141,136,134,130,128,124,123,121,118,118,117,116,117,117,120,120,123,
124,127,128,129,131,132,131,132,130,130,127,123,120,113,108, 99, 93, 84, 77, 68, 63, 57, 51, 49,
 45, 44, 43, 44, 46, 48, 53, 59, 64, 72, 78, 87, 94,101,110,117,123,131,136,142,146,150,152,152,
152,150,148,144,139,135,130,124,119,113,109,103,100, 95, 92, 89, 87, 85, 85, 85, 86, 87, 89, 92,
 93, 98,100,105,109,112,117,120,126,128,133,134,137,136,138,137,137,137,136,135,135,135,135,135,
134,136,136,139,141,145,147,152,155,160,162,166,168,172,173,174,175,176,174,174,170,168,163,158,
151,145,138,132,124,119,112,108,104,100, 98, 96, 94, 94, 94, 97, 99,102,106,111,115,122,127,134,
139,146,152,157,164,168,173,177,178,180,180,178,176,172,169,163,158,153,147,141,136,131,127,123,
120,117,116,115,115,115,117,117,120,122,123,126,127,130,132,134,137,137,139,138,138,136,133,131,
127,125,120,117,114,110,108,106,105,103,105,105,109,112,117,122,128,134,141,147,154,160,167,172,
179,182,187,190,193,193,194,191,189,183,179,171,166,158,150,143,136,128,122,115,110,105,102, 99,
 96, 96, 94, 96, 96,100,101,106,109,112,117,121,127,130,137,141,144,149,151,153,154,155,153,153,
150,150,147,146,143,143,140,140,138,139,137,138,137,138,137,139,138,139,139,139,139,139,138,138,
136,136,134,131,130,125,123,117,114,107,103, 96, 92, 87, 83, 79, 75, 74, 71, 71, 70, 72, 74, 76,
 79, 82, 87, 91, 96,100,106,110,116,120,124,129,132,137,139,141,143,141,142,138,136,132,126,122,
116,109,104, 97, 92, 86, 81, 76, 73, 69, 69, 67, 68, 68, 70, 73, 75, 77, 81, 84, 89, 92, 97,100,
104,107,109,112,114,113,114,112,112,110,108,107,105,105,103,104,104,106,107,110,115,118,122,128,
132,138,142,148,151,156,159,163,165,167,168,170,169,169,167,165,160,156,150,143,137,129,123,116,
109,102, 97, 91, 88, 83, 82, 81, 82, 83, 86, 89, 94, 99,105,111,118,125,133,140,147,154,161,165,
172,175,179,180,181,179,179,175,173,167,164,158,155,150,144,141,136,134,130,127,125,122,121,120,
119,118,118,118,119,120,120,122,123,125,126,128,128,129,130,129,129,127,127,124,124,121,121,120,
118,119,119,120,121,123,125,129,132,136,138,143,147,150,155,159,163,167,169,173,176,177,180,180,
181,178,177,173,170,165,159,155,148,143,137,130,126,120,116,113,109,108,106,107,108,109,112,114,
118,122,127,131,135,141,144,150,154,159,161,165,166,168,168,166,166,163,162,158,157,154,150,148,
144,143,139,139,136,137,135,136,135,137,137,138,140,140,142,143,144,146,146,148,148,148,148,145,
144,139,137,131,127,121,117,110,106,100, 97, 93, 88, 87, 84, 85, 84, 87, 88, 92, 95,100,104,111,
117,122,129,135,142,147,153,157,161,163,165,163,163,159,155,150,144,136,129,121,113,105, 98, 91,
 84, 79, 74, 71, 68, 67, 66, 66, 66, 68, 69, 70, 73, 75, 79, 82, 86, 91, 94, 99,102,106,108,109,
113,112,114,113,113,113,111,111,108,108,106,106,104,105,104,105,105,105,107,107,110,111,114,115,
119,121,125,128,131,135,136,139,139,140,140,138,137,133,130,128,123,120,115,112,107,104, 99, 98,
 95, 94, 94, 93, 95, 97, 99,102,106,109,115,120,124,130,135,142,147,153,158,161,165,166,168,167,
168,165,164,161,159,154,151,146,143,139,135,130,128,124,122,119,118,116,116,115,116,117,117,119,
120,123,126,127,130,130,133,133,134,132,132,130,127,125,122,120,116,114,110,110,107,108,107,109,
109,112,114,119,122,126,131,135,141,145,150,154,160,164,167,169,172,171,173,171,168,166,162,156,
152,145,139,131,125,118,113,106,102, 97, 95, 92, 92, 91, 92, 94, 97, 99,104,107,113,119,124,131,
138,143,151,156,163,166,172,174,177,178,179,178,178,176,173,170,166,163,159,155,152,148,146,142,
141,138,137,135,135,134,134,134,135,135,137,138,140,141,141,143,142,143,142,140,139,136,135,132,
130,126,124,120,119,116,116,115,114,114,115,117,118,122,123,128,131,134,138,142,145,150,153,158,
160,164,166,168,168,167,167,164,162,157,154,148,144,137,131,124,119,112,108,101, 97, 91, 88, 85,
 81, 80, 77, 77, 76, 78, 79, 81, 84, 88, 91, 97,100,105,109,111,115,116,119,119,119,119,118,117,
115,113,112,110,109,107,107,105,106,106,108,109,109,112,113,116,118,119,122,123,125,126,128,128,
129,127,127,125,122,120,116,113,110,104,101, 95, 93, 88, 86, 82, 81, 79, 80, 79, 82, 83, 87, 90,
 95,100,105,111,116,123,129,136,143,149,155,160,165,168,172,173,175,175,174,172,170,166,162,156,
152,145,140,133,128,123,118,113,110,106,105,102,102,101,102,103,105,107,109,113,115,119,122,126,
127,131,133,134,135,135,135,134,133,131,131,129,129,127,127,125,125,124,125,124,125,125,127,128,
130,132,133,136,138,140,143,144,147,148,151,150,152,151,151,148,146,143,139,134,130,125,121,115,
111,106,101, 98, 94, 93, 91, 89, 89, 89, 90, 91, 94, 96,100,105,108,115,119,126,133,138,144,149,
154,158,161,164,165,167,168,166,166,164,163,160,158,154,153,149,148,145,142,142,139,139,136,137,
135,137,136,137,137,139,139,141,140,142,141,142,140,140,139,136,135,132,131,127,125,121,119,117,
114,113,113,113,113,114,116,118,122,125,130,135,138,145,149,155,161,165,171,174,178,179,182,182,
181,179,176,172,167,162,155,149,141,135,128,121,115,108,103, 99, 95, 91, 90, 88, 88, 88, 90, 91,
 95, 97,102,107,110,115,119,122,127,129,133,133,136,136,137,136,134,134,131,130,127,126,123,121,
119,117,116,115,113,113,111,112,111,112,112,113,114,114,117,117,120,121,122,123,125,124,125,123,
123,121,117,115,111,107,103, 98, 95, 90, 87, 83, 81, 79, 78, 77, 78, 79, 80, 84, 86, 92, 96,103,
110,115,124,130,138,144,151,157,162,165,169,170,173,172,172,169,167,162,158,154,148,144,137,133,
127,123,118,116,111,110,107,104,104,103,104,105,107,108,110,114,116,119,123,125,129,130,133,134,
135,136,135,136,134,134,134,132,132,131,130,128,129,129,129,131,131,133,135,138,140,144,146,150,
151,155,156,159,159,160,159,159,156,155,150,147,141,136,130,124,118,111,107,101, 97, 92, 89, 85,
 84, 82, 82, 81, 83, 85, 87, 92, 95,101,106,113,119,124,131,136,142,146,151,154,157,158,159,159,
158,157,154,152,149,145,143,138,135,132,128,127,123,122,120,118,118,117,118,118,120,120,123,124,
128,130,132,135,137,138,140,140,142,141,140,138,137,133,132,128,126,122,120,117,116,114,114,114,
114,115,117,118,122,124,129,132,138,142,147,151,157,160,163,167,168,170,172,170,170,167,164,161,
156,151,148,141,136,129,124,120,114,111,107,104, 99, 99, 96, 96, 96, 96, 98,100,103,105,109,114,
117,122,125,130,133,137,140,143,145,145,147,147,147,146,144,143,140,139,135,134,131,129,126,124,
121,121,120,119,118,117,119,118,120,121,123,124,125,125,126,126,124,124,121,119,116,113,109,105,
102, 96, 94, 89, 86, 85, 82, 82, 81, 82, 82, 84, 85, 89, 91, 96, 99,105,109,116,120,126,129,135,
138,142,145,148,150,149,151,150,148,147,143,141,137,133,130,125,122,118,115,112,109,108,105,105,
103,104,103,106,106,110,112,115,117,122,124,128,130,134,135,137,138,139,139,140,139,138,136,135,
133,132,130,130,128,128,128,127,129,129,131,132,135,137,138,142,145,147,151,153,156,158,161,161,
164,163,164,161,161,158,156,152,149,144,139,134,129,124,119,113,109,104,101, 98, 94, 93, 91, 92,
 92, 95, 97,100,105,109,115,120,126,132,136,142,146,151,154,158,159,162,161,162,161,158,156,152,
150,145,142,138,133,129,125,121,118,114,112,109,107,108,106,108,107,109,110,113,114,117,119,121,
123,124,125,126,126,126,126,124,125,124,122,122,120,121,119,120,119,121,122,122,125,126,130,132,
136,139,144,148,151,154,159,162,165,167,168,169,169,169,167,165,161,158,154,148,144,138,132,126,
120,115,109,106,102, 98, 97, 94, 94, 93, 95, 96, 99,104,106,112,117,122,128,132,137,143,146,150,
154,155,158,157,158,156,156,153,150,148,144,142,139,135,134,131,129,126,125,123,123,121,121,122,
121,121,122,122,124,124,126,125,126,125,126,124,124,122,121,117,116,112,110,106,104,100, 98, 95,
 93, 92, 89, 89, 88, 88, 88, 89, 90, 94, 96,100,105,109,116,120,127,131,138,141,147,150,154,155,
157,156,156,153,151,147,142,137,131,124,119,112,108,101, 97, 91, 88, 84, 83, 80, 80, 79, 81, 82,
 85, 88, 91, 96,100,103,109,113,119,122,128,130,135,137,140,142,142,144,143,144,142,143,142,141,
140,138,137,135,135,134,132,133,132,133,133,135,136,138,139,141,141,143,144,143,144,143,144,141,
141,139,136,134,130,127,123,119,117,113,111,109,106,104,103,102,103,103,106,107,111,113,118,123,
128,131,137,141,147,151,154,158,160,163,165,166,166,164,164,162,159,154,152,147,144,139,134,131,
126,124,119,117,113,112,110,110,108,109,110,109,112,111,114,114,117,117,120,121,121,123,123,125,
125,124,124,123,123,121,122,120,121,121,120,121,120,122,123,124,125,128,129,133,136,138,143,145,
149,151,154,155,159,159,161,159,160,159,157,155,151,148,144,139,135,131,125,122,116,114,109,107,
103,102,100, 98, 98, 97, 99,101,104,106,111,114,118,123,127,132,135,140,145,147,152,154,157,158,
160,160,161,160,160,159,156,156,152,151,148,144,142,138,135,132,130,129,126,126,125,126,126,126,
127,127,128,127,128,127,128,127,128,126,125,123,122,119,118,115,114,111,108,108,105,105,103,104,
104,105,105,106,109,112,115,117,122,124,129,131,136,137,141,141,144,145,145,146,145,144,142,141,
138,134,132,128,124,121,116,113,108,106,101, 99, 95, 93, 90, 90, 89, 88, 89, 88, 91, 91, 95, 96,
100,101,106,108,112,114,119,120,124,125,127,128,130,131,132,132,133,133,133,133,133,134,133,134,
132,133,135,134,136,137,138,138,139,139,140,138,140,138,139,138,137,137,135,132,131,128,126,122,
120,116,114,112,109,106,105,104,101,102,100,102,102,104,106,109,112,115,121,124,130,134,139,144,
148,154,157,162,165,166,169,169,170,168,168,165,163,160,154,152,146,143,136,132,126,123,117,114,
111,107,106,104,104,104,105,105,107,107,111,112,116,117,121,123,126,127,129,131,132,132,132,132,
132,132,131,131,129,130,128,128,127,127,126,128,127,129,131,131,134,135,138,139,140,142,143,144,
146,146,147,146,147,145,143,143,140,137,134,131,128,125,121,119,114,113,109,107,104,103,101,102,
101,103,104,107,110,112,116,118,123,125,131,134,138,142,144,148,149,152,154,154,154,153,153,151,
150,148,146,142,140,138,134,133,129,128,125,125,124,125,124,125,125,124,125,124,125,125,126,125,
125,125,125,125,124,124,122,122,119,120,119,118,118,117,117,117,116,118,117,119,120,121,123,126,
128,131,133,137,139,142,145,145,149,150,152,152,153,153,152,151,149,146,144,140,137,133,129,124,
120,116,110,107,101, 99, 94, 92, 89, 89, 88, 87, 89, 89, 93, 94, 98, 99,104,106,112,113,118,120,
125,127,128,131,131,133,133,134,134,134,134,133,131,131,130,128,127,125,124,123,122,122,121,122,
123,122,124,123,126,125,128,127,130,129,131,131,132,131,132,130,129,129,125,125,122,121,119,116,
115,113,111,111,108,109,109,109,109,112,114,117,119,123,126,130,134,137,142,144,149,150,155,156,
159,159,160,161,160,158,157,155,153,149,147,143,140,137,132,129,125,123,119,118,116,114,114,113,
114,114,114,115,115,117,117,119,120,123,123,126,126,128,127,129,129,130,130,130,131,130,131,131,
129,130,129,130,129,130,131,132,132,134,134,135,138,137,140,139,142,142,143,143,144,142,142,140,
139,136,134,131,128,124,122,118,115,112,108,106,103,100, 98, 97, 96, 96, 97, 98,100,102,106,108,
113,115,120,122,128,132,137,141,144,148,151,153,155,157,157,157,156,155,152,152,148,147,143,141,
137,134,130,127,124,121,119,116,115,112,113,110,111,109,111,110,112,111,114,114,115,117,117,119,
119,121,121,122,120,122,120,122,120,121,118,119,117,119,118,120,119,122,123,126,129,130,134,135,
139,140,144,146,147,150,150,152,152,151,150,148,147,144,141,138,135,131,128,124,120,116,113,109,
106,103,101, 99, 98, 97, 97, 96, 98, 98,100,100,104,105,108,111,113,117,119,123,125,129,132,134,
136,138,140,141,142,144,142,143,140,140,137,137,135,133,131,129,128,125,125,122,123,120,120,120,
119,119,120,118,119,118,119,118,117,117,116,116,114,115,114,114,114,114,112,113,111,113,112,114,
114,116,117,120,122,125,128,132,134,138,142,144,149,150,155,157,158,161,161,163,162,163,161,161,
158,157,153,152,148,145,140,137,131,128,124,120,118,115,112,112,110,110,109,110,110,112,113,116,
119,120,124,126,128,132,133,137,138,139,142,143,144,145,145,145,145,144,144,144,141,142,140,139,
139,139,137,138,138,138,139,137,139,138,140,139,139,139,138,138,137,137,135,134,132,129,128,125,
123,120,118,116,112,109,107,104,103,102, 99,100,100,100,102,104,106,108,111,114,119,122,126,130,
134,138,141,145,148,151,152,154,154,156,156,155,154,152,151,149,146,142,139,135,132,128,126,122,
120,117,116,113,112,110,111,109,110,109,111,111,113,113,114,114,116,116,115,117,117,118,118,118,
119,118,118,120,119,120,119,121,121,123,124,126,128,129,131,133,135,135,138,139,139,140,141,142,
141,142,141,139,140,138,136,135,133,131,129,126,123,120,118,115,112,108,106,104,101,100, 98, 98,
 97, 98, 98,100,101,103,105,108,111,114,117,121,124,125,128,132,133,136,138,138,140,140,141,141,
139,140,137,138,135,134,131,131,128,128,127,124,125,124,123,121,122,121,121,120,120,118,119,118,
117,116,115,115,114,115,113,113,112,111,111,110,109,108,107,107,106,107,106,108,109,109,112,113,
117,118,123,124,129,132,136,138,143,144,149,150,153,154,156,156,157,156,156,155,153,152,148,147,
143,139,135,131,129,125,122,120,116,115,113,112,112,110,111,110,112,113,114,116,117,119,122,123,
127,128,132,134,137,140,142,144,146,147,149,149,150,151,149,151,150,149,149,148,148,148,146,146,
145,145,143,143,142,142,141,139,139,137,137,135,135,133,131,130,129,128,125,125,122,122,118,118,
115,116,113,113,112,111,111,111,113,112,115,116,119,120,124,125,129,130,135,137,139,142,143,146,
148,148,149,149,150,149,148,149,145,145,141,141,137,136,133,129,127,126,122,122,119,119,117,117,
116,116,116,116,116,116,116,117,117,118,118,120,120,121,122,123,124,125,126,126,127,127,127,127,
127,126,127,126,127,127,128,128,130,129,131,132,133,134,135,137,137,138,139,140,140,140,139,140,
139,138,135,135,132,131,126,125,121,118,115,112,109,106,104,101,101, 99,100, 98,100,101,101,103,
106,106,111,111,115,116,121,122,126,128,130,133,135,137,139,141,140,142,141,141,140,139,138,136,
134,132,130,127,126,123,122,119,118,116,115,113,112,110,109,108,108,108,107,108,108,109,110,110,
110,112,111,113,112,113,113,113,112,113,112,112,113,113,114,115,116,117,118,120,122,123,126,127,
130,130,134,135,136,137,138,139,141,140,141,140,141,141,138,139,136,136,132,132,129,128,124,123,
120,118,117,114,114,113,112,112,112,113,113,114,115,117,119,121,123,126,128,130,133,134,136,139,
140,142,142,144,144,145,145,145,144,143,143,144,142,143,141,141,141,141,141,140,141,139,141,139,
141,139,140,139,139,139,138,139,139,139,136,137,134,134,132,130,128,127,124,121,120,117,116,114,
114,112,113,112,114,115,116,118,120,123,125,128,132,133,137,138,142,143,147,149,149,152,152,154,
152,153,150,151,148,145,142,140,135,133,129,127,124,120,119,116,114,113,112,111,111,111,111,112,
113,112,115,116,118,120,122,123,126,127,129,130,132,133,132,134,133,134,134,133,133,134,133,134,
133,133,135,134,136,136,136,137,138,136,138,137,138,137,138,137,136,137,135,135,133,133,131,131,
128,126,124,122,120,118,116,114,112,111,110,109,108,106,108,106,108,108,109,111,112,115,116,119,
121,124,126,130,133,135,138,141,141,145,144,146,146,146,144,144,141,140,137,136,132,131,129,126,
125,122,121,120,118,117,116,115,115,113,114,113,113,114,113,114,114,113,114,113,113,114,113,112,
112,112,112,113,111,112,112,112,113,113,114,114,117,116,119,119,121,123,125,126,128,129,131,131,
134,134,136,135,137,137,136,137,134,135,132,130,128,125,123,121,117,115,112,111,109,106,106,104,
105,103,105,104,107,107,110,110,113,116,118,121,124,126,129,131,135,137,140,141,143,145,145,146,
146,146,146,144,144,142,141,139,139,136,136,134,134,132,133,131,130,130,129,129,129,129,128,129,
129,128,129,129,130,129,130,130,129,129,128,127,127,126,126,124,124,123,123,123,122,123,124,123,
125,124,127,128,130,130,133,132,136,136,139,140,143,144,146,146,148,148,148,147,147,147,144,143,
140,139,136,134,131,129,126,124,122,120,119,117,115,115,114,113,113,113,113,114,116,116,118,118,
121,122,124,125,128,129,130,131,133,135,134,136,135,137,136,137,137,137,137,137,136,137,136,137,
136,136,137,136,136,136,136,136,136,136,135,136,136,136,135,135,133,133,130,130,126,126,124,122,
119,117,116,114,112,110,110,109,109,109,110,109,112,112,115,116,119,120,124,125,128,131,133,136,
138,140,140,142,141,143,141,142,141,139,138,137,135,133,132,129,128,126,125,123,122,119,119,117,
115,115,114,114,113,114,115,115,115,117,117,119,120,121,122,123,123,125,124,124,124,124,124,124,
122,122,120,120,119,119,120,118,120,119,121,120,123,122,125,125,127,127,129,130,130,132,132,133,
133,133,133,132,132,130,129,128,125,125,121,121,117,116,114,111,111,108,108,106,106,104,105,103,
106,105,106,108,109,111,113,116,119,122,123,127,129,133,134,137,137,141,140,143,143,143,144,143,
143,143,141,141,141,139,139,136,136,134,134,132,133,131,131,130,131,130,129,130,130,129,130,130,
130,129,129,128,128,127,126,125,125,123,123,122,122,123,123,122,124,123,126,127,128,130,131,133,
135,137,138,141,143,144,146,147,149,149,150,151,149,149,147,147,143,143,139,138,135,132,128,126,
123,121,119,117,115,113,112,112,111,111,112,111,114,114,116,117,120,122,122,125,126,129,129,132,
132,134,134,135,135,135,135,134,134,133,132,132,131,131,130,131,131,129,131,130,132,131,133,133,
133,134,134,136,135,137,136,137,136,137,135,135,134,132,131,129,128,126,125,122,121,119,118,117,
116,116,116,114,116,115,117,118,118,120,121,124,125,127,129,131,133,134,137,138,141,141,143,143,
144,143,143,142,142,140,138,137,135,132,131,128,126,122,122,118,118,115,116,114,114,112,114,113,
114,115,115,117,117,119,120,120,122,122,123,123,124,124,124,124,124,123,124,123,124,123,123,123,
123,124,124,125,125,125,125,126,126,127,128,128,128,129,129,130,129,131,130,130,130,130,127,128,
125,125,123,120,119,116,115,112,111,109,108,106,106,104,105,103,105,104,106,105,108,108,111,111,
114,115,119,120,123,124,126,127,129,131,130,132,131,133,132,131,132,130,130,129,129,127,127,125,
126,125,124,124,123,124,123,124,124,123,125,124,126,126,127,127,128,128,129,129,130,130,130,131,
129,130,129,130,128,129,128,128,127,128,127,128,128,129,130,129,131,131,134,134,137,138,139,141,
143,144,146,147,148,150,150,149,150,149,148,147,146,144,142,140,138,135,134,131,130,126,126,123,
122,119,119,117,118,115,116,115,116,115,118,117,120,121,122,125,127,128,130,131,133,134,134,136,
135,137,136,136,135,135,134,134,133,133,132,132,132,130,131,130,131,129,130,129,128,129,128,129,
128,130,129,130,129,131,129,130,128,129,127,128,126,126,124,124,122,122,120,120,120,119,119,118,
120,119,121,121,123,123,126,127,131,133,135,136,139,141,143,144,146,146,147,148,147,146,145,143,
142,139,138,135,132,131,128,126,124,123,122,120,119,117,117,116,116,115,114,115,114,115,115,117,
118,118,120,120,121,123,122,124,124,124,126,125,126,125,127,127,127,126,128,126,127,128,127,128,
128,128,128,129,130,130,131,131,131,132,133,134,135,134,135,134,134,133,131,131,128,127,124,123,
120,118,117,114,113,112,110,109,109,107,108,106,108,106,109,108,111,111,114,115,118,120,122,125,
126,130,131,134,134,137,136,138,138,138,138,137,136,135,133,132,129,128,125,124,122,120,118,115,
115,112,111,110,109,110,109,110,111,112,113,115,115,118,117,120,121,122,123,124,124,126,125,127,
126,126,127,125,127,125,127,127,128,127,128,128,129,130,130,131,132,134,135,135,137,138,139,141,
140,143,142,142,142,142,141,141,138,138,135,135,133,130,130,128,126,125,123,122,121,120,120,119,
119,119,120,119,121,121,124,126,126,129,129,133,134,136,136,137,138,139,139,140,138,139,138,138,
138,136,136,134,134,132,132,129,130,127,127,125,125,124,123,123,122,124,124,124,125,126,125,127,
126,126,126,125,125,124,124,122,122,121,119,119,119,117,118,117,119,117,119,118,121,121,122,123,
124,125,126,129,131,132,134,135,138,139,141,143,144,145,144,145,144,145,143,143,141,140,138,137,
135,133,132,129,128,126,124,122,120,119,117,117,116,116,116,116,117,118,120,120,123,125,125,128,
128,131,131,132,133,134,135,135,136,135,136,135,136,134,135,133,134,132,133,132,131,131,131,130,
131,130,131,131,130,131,130,132,130,132,131,130,130,131,128,129,127,128,127,126,124,125,123,122,
122,120,120,118,118,117,117,116,116,116,116,117,117,119,120,120,123,124,126,127,129,130,132,132,
134,134,135,136,134,135,135,133,134,132,132,130,130,128,127,125,125,122,122,120,119,118,117,117,
116,116,115,116,115,117,117,116,117,117,118,117,118,118,119,120,119,120,120,121,121,122,123,122,
124,124,126,126,127,126,128,127,129,128,130,130,132,132,134,135,135,135,137,137,137,137,137,137,
136,136,135,133,133,132,129,129,127,127,124,124,123,121,121,119,120,117,118,118,118,118,119,120,
121,123,124,127,129,130,132,134,136,138,139,139,141,141,142,143,142,144,142,143,141,142,140,140,
138,137,135,134,132,131,129,128,127,126,126,125,124,124,123,124,123,122,123,122,122,121,122,121,
121,121,121,120,121,120,121,121,120,120,120,120,120,120,120,118,120,120,121,120,122,121,124,124,
126,127,129,131,130,133,132,134,134,134,134,133,133,133,131,131,130,128,128,126,126,125,124,122,
122,120,120,118,119,118,119,118,119,119,121,122,121,124,123,125,125,127,126,128,128,130,129,131,
130,132,132,133,132,133,133,134,134,135,135,134,135,134,135,134,133,133,132,132,131,132,131,132,
132,132,130,132,130,132,130,131,129,130,130,129,128,128,126,127,125,126,124,125,124,124,123,124,
124,122,124,123,125,123,126,126,126,128,129,129,131,131,133,133,135,135,136,136,137,138,136,138,
137,136,136,134,134,132,132,130,130,127,127,124,124,123,122,119,120,117,118,116,117,116,117,117,
117,118,117,119,120,120,121,122,121,123,122,124,123,124,123,124,124,124,124,124,123,124,123,123,
124,122,123,122,124,122,124,124,124,125,126,127,126,128,127,129,129,129,130,130,130,130,130,129,
129,128,129,127,127,125,124,124,123,122,121,120,120,119,119,118,119,118,120,119,121,122,123,124,
125,126,128,130,129,132,132,135,134,137,136,138,137,139,138,139,138,139,139,137,138,135,136,133,
134,132,132,129,130,128,128,126,127,127,125,126,126,125,125,124,125,124,125,124,125,124,125,125,
124,125,124,125,125,125,126,124,126,125,126,126,125,126,126,127,126,128,127,129,128,130,130,130,
130,130,130,130,130,129,129,128,128,127,127,127,125,126,125,124,122,122,121,120,119,119,118,117,
116,116,116,115,115,115,115,115,116,117,118,118,120,120,122,124,124,127,126,129,129,132,132,133,
134,133,134,134,135,134,135,134,133,132,131,131,130,130,128,129,128,128,128,127,127,127,127,126,
126,125,125,125,123,125,123,124,123,123,124,123,124,123,124,123,124,123,124,123,125,123,125,125,
126,125,126,126,128,129,129,131,131,133,133,136,135,138,137,139,139,140,139,141,140,141,140,140,
139,138,137,135,135,132,132,129,129,126,124,123,121,120,118,118,117,117,117,116,117,116,117,117,
118,120,119,121,122,123,124,125,126,128,127,130,129,131,131,133,132,133,133,133,133,133,133,130,
131,129,130,128,128,127,126,125,125,124,124,122,122,121,121,120,121,121,120,119,120,119,119,119,
118,119,118,118,118,118,119,118,118,118,118,119,119,121,121,123,124,124,126,127,129,131,130,133,
133,136,135,138,137,139,138,138,138,138,138,137,137,136,135,134,133,132,130,130,128,128,126,126,
125,126,125,124,125,124,125,125,124,126,125,127,127,127,128,128,129,130,130,130,131,131,132,131,
133,132,132,133,132,133,133,131,133,132,132,133,132,133,132,133,134,133,134,134,133,134,133,134,
134,133,133,132,132,131,131,130,129,128,128,127,125,124,123,122,121,118,119,118,117,116,116,116,
116,115,117,116,118,118,120,120,121,122,123,124,125,126,127,127,129,129,130,130,132,131,133,133,
133,132,133,132,133,131,131,129,130,129,127,127,125,125,124,123,121,121,120,120,119,119,119,119,
118,120,120,120,121,120,122,121,123,122,124,123,125,124,124,124,125,124,126,124,126,125,127,128,
127,129,129,130,130,131,131,132,131,133,132,134,133,134,133,134,133,134,133,134,133,133,132,132,
130,130,129,128,128,126,126,125,124,125,125,124,125,124,125,124,125,125,126,126,126,128,127,129,
128,130,130,131,131,132,131,133,132,133,132,132,131,131,130,130,129,129,128,129,129,128,129,128,
129,129,128,129,128,129,128,129,127,128,128,127,125,126,124,124,123,121,122,120,120,118,118,116,
117,114,115,113,115,113,115,114,116,115,118,118,120,121,123,124,126,127,129,131,130,133,133,135,
136,136,136,136,136,136,135,134,134,132,131,129,128,127,125,124,123,121,122,120,121,121,121,120,
121,121,122,122,123,124,125,126,127,127,129,130,130,130,131,131,131,132,131,132,132,131,131,131,
130,130,129,130,130,129,130,130,131,132,132,133,133,134,134,135,136,136,136,137,136,137,135,136,
135,134,134,133,132,131,130,128,127,125,124,123,123,120,121,119,120,119,118,120,120,120,121,121,
123,124,125,127,127,129,129,132,131,134,133,135,135,135,136,135,136,134,135,132,133,130,130,127,
128,125,126,123,124,123,122,123,122,123,123,124,124,124,125,125,126,126,127,128,127,127,128,126,
127,126,126,124,125,123,124,123,123,121,122,120,121,120,121,120,121,120,122,122,122,123,123,125,
124,126,126,127,128,128,129,130,129,131,129,131,129,130,128,128,127,126,124,124,122,121,120,119,
118,116,117,115,116,115,116,117,117,118,119,121,121,123,124,126,127,130,130,132,132,134,134,136,
135,136,135,136,135,134,133,133,132,131,130,129,128,128,126,126,126,125,125,124,125,125,126,127,
126,128,127,130,130,130,131,132,131,133,132,133,132,132,131,131,129,128,128,126,126,124,122,122,
121,121,120,120,121,120,121,121,123,123,124,125,126,127,129,130,131,131,132,133,134,134,133,134,
133,133,133,130,131,129,127,127,125,125,124,123,122,121,122,121,121,121,121,121,122,122,123,125,
124,127,126,128,128,130,130,130,131,130,132,131,130,130,129,129,128,128,127,126,126,126,126,126,
126,125,126,127,126,129,128,130,130,131,132,132,133,134,134,134,135,135,135,135,135,134,134,133,
132,131,129,128,127,125,125,123,122,121,121,121,121,121,120,122,121,123,124,125,126,127,128,131,
130,133,133,135,135,135,137,137,136,136,135,135,135,133,133,132,130,130,128,128,126,126,125,125,
124,125,123,125,123,125,123,125,124,126,126,126,127,128,127,129,128,130,129,130,130,129,130,130,
129,129,129,127,128,125,126,124,125,124,123,124,123,124,123,125,125,125,126,127,128,129,130,130,
131,132,131,133,131,132,131,131,130,129,127,126,125,123,121,120,118,117,116,115,113,113,112,112,
112,111,112,112,111,114,113,116,116,119,119,122,122,125,125,129,130,130,132,132,133,134,133,133,
133,133,133,130,131,130,129,127,127,126,125,125,123,124,122,124,123,125,123,126,125,127,126,128,
128,129,129,129,130,130,131,129,130,129,129,126,127,124,125,123,123,122,122,120,122,121,121,122,
121,123,124,124,126,128,128,131,131,134,134,137,136,139,138,140,140,138,139,137,137,134,135,131,
131,127,127,124,123,121,119,118,118,116,116,114,115,114,115,116,117,117,119,121,122,124,126,128,
130,131,133,135,135,136,136,137,137,137,136,135,134,134,133,132,131,129,129,126,126,126,124,125,
124,125,125,126,125,127,127,128,129,131,132,134,133,135,135,135,136,134,135,133,134,131,131,129,
128,126,125,124,124,121,122,120,120,119,120,119,120,122,121,124,123,126,127,129,129,132,132,135,
135,137,138,138,139,139,139,138,137,136,135,133,132,130,129,125,125,122,122,119,119,118,118,117,
117,117,118,118,119,119,121,122,123,124,126,128,128,130,130,131,131,131,132,130,131,130,129,129,
128,128,127,126,126,126,125,126,125,126,125,127,126,129,128,130,129,132,132,133,134,134,135,135,
136,135,136,134,135,132,133,130,130,127,127,125,123,121,120,118,118,115,115,114,114,112,113,113,
114,115,114,118,117,121,122,123,125,128,128,131,131,133,132,134,133,133,132,132,131,130,128,127,
126,124,124,120,120,118,118,116,115,116,115,117,116,117,118,118,120,121,122,123,125,126,127,128,
128,129,129,129,129,129,129,127,127,126,125,124,124,121,122,119,120,119,118,118,117,119,118,121,
121,123,124,126,128,131,131,135,134,138,137,140,140,140,139,140,139,138,137,135,134,131,131,127,
127,124,122,120,119,118,116,117,116,117,116,118,117,120,120,123,123,127,127,131,132,133,135,136,
138,137,139,138,139,137,139,136,137,135,134,133,131,130,129,128,126,127,125,126,125,126,126,128,
127,129,128,132,131,134,134,135,136,137,136,137,136,136,135,135,134,133,132,130,129,127,126,125,
123,122,121,121,120,120,119,121,120,123,123,125,126,128,130,133,134,136,138,140,139,142,141,142,
141,142,140,140,138,137,135,133,133,129,129,126,125,122,122,119,119,119,117,118,117,117,118,118,
119,121,120,123,122,125,126,127,128,128,130,129,131,129,131,130,130,130,130,127,128,127,126,125,
124,124,123,123,122,123,123,122,123,125,124,126,126,129,129,131,132,133,134,136,136,136,137,136,
135,135,133,132,131,129,129,126,125,122,121,120,118,118,116,117,116,117,117,118,118,119,121,123,
123,126,126,129,129,132,133,133,135,134,136,135,135,135,134,133,133,130,130,127,128,124,124,122,
122,119,119,117,117,116,117,117,116,118,118,119,120,122,122,123,125,125,127,128,127,128,128,128,
127,127,126,125,124,123,123,120,121,118,118,116,117,115,116,115,116,116,117,118,119,121,121,124,
124,127,127,130,130,130,131,132,131,131,130,130,129,128,127,125,124,122,121,119,118,115,115,114,
112,113,112,113,112,114,114,117,117,119,120,122,124,126,128,129,132,132,133,134,134,135,134,134,
134,133,133,132,131,130,130,127,128,125,126,125,124,125,124,124,125,125,126,128,127,130,129,133,
133,134,136,137,137,138,138,138,138,138,137,136,135,134,134,130,131,128,128,126,126,125,125,125,
123,125,124,126,125,128,127,130,131,132,134,135,137,138,140,141,141,142,141,142,142,142,141,140,
139,136,137,133,133,130,130,126,126,125,124,122,120,121,119,120,119,121,120,122,122,125,124,127,
128,129,131,131,133,132,134,133,134,132,134,131,132,130,130,127,128,126,124,124,122,122,120,121,
119,121,119,121,120,122,123,124,125,126,128,129,130,132,131,133,132,134,133,133,133,132,132,130,
131,129,127,126,125,124,124,121,122,120,121,120,120,120,121,121,122,123,124,127,126,130,130,133,
134,134,136,135,137,136,137,136,137,134,135,132,133,129,130,126,126,123,123,120,120,119,117,117,
115,117,116,117,116,119,119,120,122,123,124,125,126,128,127,129,128,129,129,130,129,129,129,127,
128,126,125,124,123,123,123,120,121,120,120,120,120,120,121,122,121,124,122,125,124,127,125,127,
126,128,127,128,127,128,127,127,126,125,124,122,121,119,118,117,115,114,113,112,112,111,111,111,
111,112,112,115,114,118,117,121,121,124,124,126,126,128,129,129,130,130,132,130,132,130,130,127,
128,125,126,123,124,121,122,120,120,119,120,119,120,122,120,123,123,125,125,127,127,128,129,129,
130,129,129,128,129,127,130,129,132,132,134,136,138,139,141,142,142,144,143,145,146,147,148,148,
150,151,153,154,156,158,161,163,163,165,164,165,165,163,163,159,157,155,152,149,145,141,138,133,
129,124,123,120,119,119,117,117,116,114,114,114,116,119,121,126,129,132,136,138,138,140,139,140,
140,140,140,137,137,133,131,125,123,118,116,111,108,106,102,100, 98, 95, 93, 92, 90, 89, 89, 89,
 90, 91, 92, 94, 96, 98,101,104,106,111,113,116,118,120,120,121,121,121,119,118,116,114,111,110,
107,106,104,104,103,103,102,102,103,104,104,105,107,110,110,114,115,116,118,119,121,122,123,123,
126,125,128,126,128,125,126,123,123,121,119,117,115,114,112,110,108,108,107,108,106,108,107,107,
107,109,109,111,112,115,118,120,123,125,130,132,136,137,140,140,142,142,142,140,141,138,138,136,
135,134,133,132,132,133,134,137,140,144,147,153,156,162,164,169,170,173,173,173,174,172,173,170,
171,169,167,166,164,162,160,155,153,148,144,140,134,131,126,124,121,118,116,114,112,111,110,111,
110,113,113,117,117,120,122,124,125,127,128,130,130,130,129,129,128,128,126,126,124,124,123,122,
122,120,120,119,120,119,121,122,125,128,132,137,140,146,150,154,158,161,164,168,170,173,173,173,
171,169,166,164,162,160,160,159,160,159,159,156,156,154,155,154,154,155,153,155,154,156,154,155,
153,155,153,155,154,154,155,153,154,152,152,151,151,148,148,145,144,140,137,132,128,122,118,112,
108,103, 99, 95, 89, 87, 82, 80, 75, 74, 71, 72, 70, 72, 72, 75, 78, 81, 83, 87, 90, 94, 96, 98,
100, 99,101, 99,100, 98, 98, 96, 94, 93, 90, 90, 88, 89, 89, 89, 90, 92, 91, 93, 92, 94, 93, 95,
 95, 95, 96, 94, 95, 94, 95, 93, 95, 93, 95, 94, 97, 96, 98, 99,100,102,105,106,109,110,111,113,
113,115,114,115,113,115,112,113,111,113,112,114,115,116,118,120,122,125,128,130,133,136,138,140,
142,141,143,142,142,139,138,134,132,129,126,124,122,122,120,123,123,127,129,135,139,147,151,158,
163,168,171,176,180,182,186,187,190,190,192,190,191,188,189,185,185,183,180,179,176,174,170,168,
164,162,158,157,152,151,149,147,143,143,140,139,137,136,135,135,133,133,130,129,127,126,124,122,
121,120,119,118,117,114,113,110,108,106,105,104,104,102,102,101,101,101,101,102,104,108,111,117,
121,128,131,137,140,142,145,146,149,149,150,150,150,148,148,147,146,143,143,142,142,141,142,142,
144,145,146,147,149,151,154,155,156,159,158,159,159,159,158,159,158,159,159,159,160,158,159,157,
158,155,155,151,150,146,144,139,136,131,128,124,120,116,110,107,101, 99, 93, 92, 88, 87, 84, 84,
 82, 83, 83, 83, 85, 86, 88, 90, 91, 91, 94, 92, 94, 91, 92, 89, 88, 85, 84, 82, 81, 79, 79, 79,
 79, 80, 79, 82, 82, 85, 86, 88, 88, 90, 91, 90, 92, 91, 92, 91, 92, 92, 92, 92, 93, 93, 94, 96,
 98,101,102,106,109,112,115,118,120,123,124,126,127,127,127,126,126,124,123,122,119,118,116,113,
113,113,113,114,115,115,118,118,121,121,125,124,126,126,124,123,120,118,114,110,108,104,102,100,
100,101,101,105,106,110,112,118,123,128,134,139,144,149,154,156,161,162,165,165,168,168,171,170,
172,171,172,172,172,173,172,173,173,171,170,168,167,165,164,163,162,161,162,161,159,160,158,158,
157,155,156,155,154,154,153,152,149,147,143,141,137,136,133,133,130,130,128,125,122,120,115,114,
109,108,104,104,102,103,102,103,105,107,112,114,119,121,123,126,128,129,130,131,131,129,130,128,
128,126,125,123,124,124,123,125,125,128,130,133,136,138,141,144,146,148,149,149,151,150,152,151,
152,152,152,153,153,154,154,155,155,155,155,156,156,157,157,157,156,154,153,152,149,147,142,140,
135,132,127,124,119,116,112,110,107,106,107,105,107,107,109,111,112,113,114,115,114,113,114,111,
110,108,105,104,100, 99, 97, 95, 94, 94, 91, 92, 91, 93, 92, 94, 94, 94, 96, 97, 97, 98, 97, 98,
 97, 95, 95, 92, 90, 89, 87, 86, 85, 85, 86, 85, 87, 87, 91, 93, 95, 99,102,104,108,111,114,116,
118,119,120,120,121,120,120,120,119,116,117,117,117,117,120,120,124,125,129,130,133,133,133,134,
133,131,130,127,126,123,121,119,115,115,114,114,115,116,119,122,124,130,133,138,141,147,152,154,
160,161,166,166,169,168,171,170,174,174,178,179,182,183,184,184,185,185,184,186,185,186,185,184,
183,181,179,177,176,175,173,173,171,170,169,166,166,161,160,156,155,152,150,146,145,142,142,141,
139,139,138,137,136,135,133,130,127,123,120,116,113,111,108,108,106,106,106,107,108,110,113,114,
118,120,121,123,125,124,126,124,125,123,123,120,119,117,115,116,115,117,117,120,120,123,123,127,
128,129,131,132,134,134,136,136,136,136,136,134,135,133,135,133,135,135,137,137,140,140,144,145,
148,152,153,157,159,161,160,162,160,161,157,157,154,151,147,143,140,135,133,129,127,123,123,120,
120,119,118,118,118,117,116,115,113,113,111,111,108,107,104,102, 98, 97, 93, 92, 90, 88, 87, 87,
 86, 87, 86, 86, 87, 87, 89, 89, 90, 90, 90, 91, 91, 88, 88, 85, 85, 83, 81, 82, 81, 82, 81, 83,
 84, 84, 85, 86, 85, 87, 87, 90, 92, 94, 97, 97, 97, 96, 93, 93, 92, 89, 89, 88, 88, 90, 93, 93,
 97, 97,100,102,105,109,113,115,114,114,112,110,107,102, 97, 92, 86, 85, 81, 79, 79, 79, 81, 84,
 87, 94,101,109,116,124,132,138,148,155,164,169,176,179,185,187,192,193,193,193,192,189,186,181,
175,170,162,154,148,143,139,136,134,131,132,132,136,138,143,146,152,155,162,168,176,181,185,187,
188,190,190,191,192,190,189,187,184,179,172,166,156,148,138,131,123,118,113,107,104,102,102,103,
105,109,112,116,120,127,134,143,150,157,163,166,172,174,177,177,176,173,169,164,156,148,136,125,
112,103, 92, 87, 79, 77, 74, 72, 74, 76, 81, 86, 93, 98,103,111,120,127,137,144,150,154,160,163,
167,167,169,169,170,170,171,169,164,160,152,147,140,136,131,126,122,117,114,111,107,107,105,104,
101,101,102,103,108,111,117,120,126,128,134,135,140,141,144,145,147,146,145,140,134,125,116,107,
100, 92, 86, 80, 76, 73, 71, 73, 73, 76, 78, 82, 86, 92, 98,106,112,118,124,127,130,133,135,133,
134,132,132,129,127,122,116,107, 99, 90, 83, 77, 72, 67, 63, 61, 58, 61, 63, 68, 72, 75, 80, 83,
 89, 91, 97, 99,104,106,111,113,117,119,121,123,125,128,131,134,133,134,130,127,122,116,110,104,
 96, 91, 84, 83, 80, 82, 84, 85, 88, 92, 96,102,109,116,124,130,139,144,151,155,157,159,161,161,
164,165,166,164,162,159,153,150,146,144,141,138,134,134,132,134,136,137,140,143,145,152,158,163,
171,176,184,189,196,199,201,202,201,201,200,200,200,196,194,188,183,175,167,162,153,147,138,133,
128,124,123,121,120,118,118,117,119,121,123,126,130,133,139,141,147,148,152,155,158,161,164,167,
167,167,163,160,152,147,139,132,122,116,108,105,101,100, 99,100,100,104,107,114,120,125,134,140,
149,155,160,165,168,170,171,171,173,173,175,172,169,164,157,152,145,138,129,123,115,112,108,109,
107,110,109,112,113,117,121,124,130,133,139,142,148,149,152,154,155,156,156,157,160,159,160,156,
153,148,141,136,127,120,109,102, 93, 87, 81, 76, 70, 67, 64, 63, 65, 67, 71, 74, 80, 85, 92, 97,
105,108,114,116,121,122,127,127,129,127,126,123,119,114,107, 98, 90, 79, 71, 63, 59, 55, 53, 51,
 53, 54, 59, 62, 69, 74, 81, 87, 95,101,109,114,119,120,120,121,120,121,121,121,121,119,119,118,
114,112,108,103, 97, 93, 88, 86, 81, 80, 75, 75, 74, 74, 75, 78, 80, 84, 88, 93,102,108,115,121,
126,131,137,143,148,154,157,160,161,164,165,164,163,160,158,156,153,154,152,153,152,152,152,153,
154,155,157,158,161,163,169,172,178,182,184,185,186,187,189,189,190,187,186,182,181,178,172,167,
159,154,146,143,136,135,130,130,128,129,129,130,133,134,137,139,141,145,148,151,153,155,156,157,
159,161,163,164,165,165,166,165,164,160,156,149,142,135,128,123,115,111,104,100, 97, 95, 96, 96,
 98, 99,104,109,117,122,129,133,138,140,146,148,152,153,155,156,156,156,154,153,148,143,135,129,
123,116,112,107,104,102,102,104,105,111,115,121,127,133,141,148,155,158,163,163,166,165,165,164,
160,155,150,144,140,133,129,121,115,108,100, 94, 85, 80, 72, 68, 63, 60, 58, 58, 59, 60, 60, 64,
 68, 75, 82, 89, 95,101,108,111,117,118,122,120,123,121,124,123,125,124,120,117,109,104, 94, 88,
 79, 71, 63, 57, 52, 48, 45, 43, 43, 43, 47, 52, 61, 68, 78, 84, 94,100,109,113,118,121,122,122,
123,121,120,119,116,114,109,106,102, 98, 95, 91, 88, 86, 84, 84, 85, 86, 88, 90, 93, 97,103,108,
115,120,126,132,138,144,150,154,158,160,162,164,166,166,166,163,159,154,147,143,135,131,123,119,
112,110,106,107,104,106,106,108,113,118,126,132,141,147,157,164,174,181,188,192,198,200,204,206,
208,207,206,203,199,192,187,179,171,162,155,147,140,137,131,130,125,127,126,131,133,139,142,148,
151,156,161,163,166,166,167,166,165,164,164,161,161,157,152,149,145,139,134,127,121,116,108,105,
 98, 96, 90, 90, 87, 90, 93, 98,103,109,118,125,136,145,155,162,172,177,185,188,195,196,200,199,
199,195,193,187,181,173,162,152,139,131,119,112,101, 97, 89, 88, 86, 88, 89, 95,100,107,116,124,
135,144,152,158,166,168,173,174,177,177,176,174,172,167,164,157,151,144,136,130,122,119,111,108,
100, 97, 91, 91, 89, 88, 90, 92, 97,100,105,108,114,115,118,117,120,119,122,121,120,118,116,113,
111,105,101, 93, 86, 78, 70, 64, 54, 49, 40, 35, 28, 26, 24, 25, 26, 31, 36, 43, 54, 63, 76, 87,
100,109,121,129,137,144,150,152,157,156,157,155,151,146,139,130,122,114,106, 98, 90, 84, 76, 71,
 68, 66, 65, 66, 67, 69, 74, 79, 85, 90, 97,101,106,112,119,123,130,134,138,141,145,145,148,146,
145,142,137,134,129,127,122,121,116,116,114,114,116,118,122,127,131,140,147,156,164,173,179,186,
193,197,204,206,210,210,213,212,212,208,205,198,192,184,176,167,157,147,138,128,119,112,105,104,
100,101,102,106,112,119,126,134,141,148,154,161,166,171,175,175,178,177,177,176,175,172,167,164,
159,155,149,145,137,133,125,119,115,112,106,105,101,101,100,102,105,108,113,117,122,125,131,133,
139,140,146,147,152,153,157,156,158,156,153,150,145,141,134,130,122,118,111,106,102, 98, 96, 94,
 94, 99,105,112,120,128,136,146,154,163,171,178,184,189,193,196,197,194,192,186,181,172,165,157,
147,139,127,119,107,100, 90, 85, 77, 74, 70, 69, 68, 72, 74, 80, 85, 90, 94,101,105,110,114,116,
121,122,126,126,129,128,128,124,123,119,118,113,110,106,100, 95, 90, 85, 79, 73, 69, 64, 62, 61,
 62, 63, 65, 70, 73, 79, 84, 88, 95, 99,106,109,115,117,122,123,123,122,120,116,114,108,103, 95,
 89, 83, 76, 71, 67, 64, 62, 61, 63, 66, 72, 78, 86, 93,102,109,118,126,132,140,146,152,157,162,
167,171,173,175,174,173,170,168,163,156,150,142,135,127,120,114,106,102, 96, 95, 94, 97, 98,103,
109,114,123,128,137,143,149,156,161,167,172,177,181,185,187,189,190,191,190,190,185,182,176,170,
164,158,151,145,139,135,132,131,130,133,135,141,146,153,160,168,174,180,184,188,190,192,192,191,
189,184,181,174,169,160,153,142,134,124,115,108, 98, 92, 83, 79, 73, 71, 68, 70, 71, 77, 82, 90,
 97,104,114,121,128,134,143,149,156,163,169,174,177,181,182,184,183,183,180,178,172,168,159,153,
143,134,126,119,111,106,100, 97, 94, 94, 93, 96, 98,103,107,113,119,126,133,138,146,149,155,157,
161,161,161,160,156,151,147,140,135,127,120,112,104, 97, 91, 86, 83, 82, 82, 84, 88, 93, 98,105,
111,118,124,129,136,140,147,149,153,152,154,150,150,144,140,133,125,119,110,102, 92, 84, 75, 66,
 58, 50, 41, 37, 30, 28, 24, 24, 23, 27, 28, 33, 38, 43, 49, 56, 64, 72, 81, 87, 96,102,111,116,
123,125,128,128,128,125,122,117,112,105, 99, 92, 87, 83, 80, 80, 78, 81, 83, 87, 92, 96,102,106,
111,115,121,125,129,132,135,135,139,139,141,139,138,135,132,126,123,117,112,105,100, 94, 89, 85,
 82, 80, 80, 82, 86, 91, 99,108,116,127,136,148,159,167,178,186,194,202,209,215,222,224,227,229,
228,226,222,218,213,207,198,191,180,172,160,152,142,133,126,121,119,117,118,119,120,125,129,133,
141,145,153,157,165,168,174,175,179,177,178,176,174,170,167,162,158,151,145,139,133,128,123,121,
117,118,117,121,123,128,132,138,142,149,154,158,163,165,170,171,172,172,172,171,170,168,164,161,
155,151,144,139,132,126,119,112,106,101, 96, 91, 89, 88, 87, 89, 90, 92, 97,102,109,115,124,132,
142,150,161,168,179,185,194,199,203,206,208,209,206,204,198,193,185,178,168,160,150,142,132,125,
119,114,111,108,106,107,106,109,111,112,116,117,121,124,126,128,129,130,129,128,125,122,117,112,
108,101, 96, 89, 84, 78, 73, 68, 64, 61, 60, 60, 59, 62, 63, 68, 71, 76, 80, 85, 89, 95, 99,102,
108,111,115,118,122,123,126,127,126,126,123,118,112,105, 95, 87, 76, 65, 54, 45, 36, 29, 23, 21,
 19, 22, 23, 28, 32, 40, 47, 56, 63, 72, 81, 91,100,109,119,125,134,139,146,149,153,154,154,154,
151,150,144,140,133,128,119,114,107,105,102,101,101,102,105,108,113,116,122,126,131,137,143,148,
153,156,161,163,166,166,168,167,167,165,165,162,159,154,149,145,138,134,129,127,125,124,123,124,
125,128,133,138,144,152,160,169,178,188,197,204,211,217,222,226,229,230,229,224,220,214,205,195,
185,172,161,147,135,123,112,103, 95, 88, 85, 83, 82, 83, 85, 88, 93, 96,103,108,114,120,126,131,
138,142,146,150,152,154,155,155,154,154,151,150,146,143,140,137,136,135,133,133,132,131,132,134,
135,136,138,139,141,142,146,147,151,152,157,158,160,162,163,163,163,161,159,155,152,147,140,134,
125,118,109,104, 95, 91, 85, 84, 81, 82, 82, 85, 87, 92, 96,102,109,117,124,133,141,150,157,165,
170,175,177,179,178,177,173,170,163,155,147,137,128,118,108, 99, 91, 83, 77, 73, 68, 67, 64, 65,
 63, 64, 64, 65, 66, 67, 67, 69, 71, 72, 75, 77, 79, 83, 86, 88, 91, 92, 94, 94, 94, 91, 89, 85,
 80, 76, 71, 67, 64, 62, 63, 63, 66, 70, 73, 78, 82, 89, 94,101,108,113,121,126,132,136,140,142,
144,143,144,142,141,137,134,128,122,113,105, 95, 87, 78, 69, 64, 58, 56, 53, 52, 51, 54, 58, 62,
 69, 76, 85, 94,103,114,124,132,144,152,160,168,175,182,187,192,194,197,198,198,197,196,191,190,
185,182,176,173,168,166,162,159,156,155,152,151,149,149,149,150,151,153,156,157,161,163,164,166,
167,167,168,166,165,163,159,154,149,143,138,131,126,123,118,117,114,115,116,120,122,128,133,138,
145,151,157,164,171,176,183,185,190,191,193,192,192,189,184,180,172,165,156,148,139,130,121,114,
108,103, 98, 96, 94, 92, 93, 93, 95, 95, 98,100,104,106,112,115,122,125,132,136,140,146,151,157,
161,166,168,171,171,173,170,169,167,164,162,160,156,156,153,154,152,153,153,152,153,152,154,154,
154,156,157,159,161,161,161,161,159,158,156,151,148,141,136,128,120,112,100, 92, 81, 74, 66, 60,
 55, 53, 51, 52, 54, 58, 61, 67, 72, 79, 85, 93, 99,106,112,117,121,122,126,127,130,131,131,132,
131,131,128,126,120,115,106,100, 91, 85, 76, 71, 63, 59, 53, 49, 46, 43, 43, 43, 43, 46, 50, 53,
 58, 61, 68, 71, 77, 82, 86, 92, 96, 99,104,108,109,112,112,113,113,113,111,111,108,109,107,107,
108,108,111,114,116,120,123,125,130,133,139,142,148,151,157,159,162,164,164,164,164,161,160,156,
154,149,145,139,134,128,123,120,115,114,111,112,112,114,116,117,120,122,127,130,135,141,147,154,
161,167,174,180,186,192,196,202,205,210,211,214,213,212,208,203,198,191,185,176,170,162,156,151,
146,141,138,133,131,127,127,124,126,125,127,127,130,129,133,133,133,134,134,135,134,134,130,128,
122,119,113,107,102, 98, 93, 93, 90, 93, 95,100,103,110,114,122,128,133,140,146,151,157,162,164,
168,169,172,172,173,173,172,172,169,167,162,157,151,145,136,130,122,115,109,104, 99, 97, 94, 94,
 92, 93, 92, 95, 95, 99,101,106,110,116,122,126,133,137,144,147,154,159,163,168,169,172,170,170,
167,162,157,151,144,139,132,128,123,120,116,114,113,112,113,114,116,118,120,121,122,122,122,120,
117,115,112,109,106,103, 99, 94, 89, 84, 80, 75, 70, 66, 60, 57, 52, 49, 47, 45, 46, 46, 48, 50,
 54, 58, 61, 67, 72, 79, 87, 94,102,109,116,122,127,132,136,140,142,144,145,144,144,141,138,132,
126,120,112,105, 99, 93, 89, 85, 80, 77, 73, 71, 68, 68, 67, 69, 71, 74, 78, 82, 87, 92, 97,103,
108,114,120,124,129,133,136,138,140,140,141,140,140,141,140,143,144,147,150,155,157,163,165,170,
174,177,182,185,187,191,193,195,196,195,195,193,193,190,190,186,185,182,178,174,168,162,153,148,
139,134,127,121,118,114,112,111,109,110,111,112,116,118,123,128,134,138,146,150,158,164,170,177,
183,187,192,194,198,197,197,195,189,184,176,169,160,153,144,139,132,127,124,120,119,119,118,118,
121,121,125,127,128,130,131,133,133,134,134,136,137,136,138,137,138,135,134,131,128,124,121,118,
116,115,115,115,117,120,122,125,128,131,136,140,146,150,155,159,163,165,168,171,172,174,174,175,
174,174,172,169,164,161,153,148,139,132,121,112,102, 93, 84, 76, 69, 66, 62, 58, 58, 58, 59, 62,
 66, 71, 76, 83, 89, 96,101,107,112,116,120,123,125,127,128,128,126,125,120,118,112,109,104,101,
 96, 95, 91, 90, 86, 85, 82, 81, 79, 78, 80, 79, 81, 80, 83, 82, 85, 84, 87, 86, 89, 88, 91, 91,
 91, 92, 91, 88, 87, 83, 80, 77, 73, 71, 68, 68, 67, 68, 70, 72, 75, 77, 82, 86, 92, 97,103,108,
115,120,127,132,139,143,150,153,159,162,166,167,170,169,166,163,157,152,145,137,130,124,118,114,
109,106,104,102,103,105,106,110,114,117,123,128,132,138,142,147,152,154,160,163,167,169,174,176,
179,179,181,181,179,178,175,172,171,169,168,166,166,165,165,165,166,166,168,168,170,169,171,170,
172,171,173,171,172,169,170,169,169,168,167,164,162,157,153,146,140,132,125,117,110,104, 96, 92,
 87, 85, 84, 84, 86, 89, 95,101,106,115,122,128,137,143,152,158,164,170,176,179,183,184,186,186,
183,181,177,171,165,158,151,144,138,132,127,123,120,117,116,116,114,115,114,116,117,120,122,124,
128,129,132,134,135,137,138,141,141,143,144,144,145,143,142,139,137,134,131,128,126,123,121,118,
117,116,114,115,116,116,120,123,126,130,133,137,140,144,146,149,150,151,150,149,146,140,135,127,
119,109,100, 90, 81, 71, 63, 56, 48, 44, 38, 36, 32, 33, 32, 34, 37, 39, 45, 49, 55, 60, 68, 73,
 81, 87, 95,101,107,114,119,122,127,128,129,128,126,123,120,115,112,108,103,101, 96, 95, 92, 90,
 90, 89, 89, 89, 91, 90, 93, 92, 95, 95, 98, 99,102,104,107,107,111,113,114,116,116,116,113,112,
109,105,102, 98, 94, 94, 90, 91, 89, 93, 95,100,103,111,117,127,135,145,154,164,172,182,190,198,
204,209,214,218,221,223,223,222,218,215,208,203,194,187,178,171,162,155,147,142,136,133,130,128,
127,127,128,130,131,134,137,138,143,145,150,153,157,160,165,168,171,175,177,179,180,181,180,177,
175,171,168,162,158,153,146,143,138,136,133,131,130,129,130,130,132,133,137,138,142,143,146,147,
148,150,151,152,151,151,148,146,141,134,129,122,115,108,102, 96, 92, 88, 86, 84, 84, 85, 86, 91,
 95,100,108,115,121,130,138,145,153,159,167,172,177,182,186,188,188,188,186,184,180,175,171,165,
160,154,146,140,132,127,119,114,107,102, 98, 93, 91, 88, 85, 85, 85, 87, 88, 92, 95, 99,104,109,
112,117,120,123,124,123,123,120,118,114,110,105,100, 97, 91, 89, 86, 82, 81, 81, 80, 82, 83, 85,
 87, 90, 92, 96, 98,102,105,108,112,113,117,117,120,119,119,116,114,109,105, 99, 93, 85, 77, 71,
 62, 57, 51, 46, 41, 38, 37, 37, 39, 40, 44, 48, 52, 59, 63, 70, 76, 84, 91, 97,106,113,120,128,
133,140,145,147,150,151,151,149,148,144,141,136,132,126,121,115,111,107,104,101,101, 99,101,102,
106,108,113,116,123,127,133,137,144,150,154,159,163,165,167,168,167,168,164,163,159,157,153,150,
146,144,142,141,142,143,144,148,151,156,160,164,171,175,181,185,191,193,198,200,203,204,204,205,
204,204,202,199,193,189,182,178,170,164,156,148,139,133,124,118,111,107,103, 99, 98, 97, 99, 99,
102,105,108,112,117,124,131,137,146,153,160,164,170,173,176,176,177,176,174,171,168,163,159,153,
149,144,141,138,134,133,130,130,130,129,131,132,135,137,139,143,146,149,151,153,154,155,155,153,
152,148,145,141,137,132,127,121,117,113,110,107,104,104,102,103,102,104,104,105,108,109,113,116,
120,123,129,133,140,144,151,155,161,164,167,169,167,167,164,161,155,147,140,131,122,113,104, 94,
 87, 79, 73, 66, 61, 58, 54, 53, 51, 52, 52, 52, 55, 57, 62, 65, 71, 74, 81, 86, 91, 96, 99,103,
104,106,105,106,103,102, 98, 96, 92, 90, 87, 84, 84, 82, 83, 83, 86, 89, 91, 94, 97,101,105,107,
112,114,119,120,125,126,129,129,131,131,129,129,125,123,119,116,110,104, 99, 93, 87, 83, 77, 74,
 70, 68, 66, 66, 66, 69, 72, 76, 82, 89, 96,105,113,123,132,141,152,161,171,179,186,192,196,198,
200,200,199,196,192,187,183,176,171,164,159,153,147,143,140,137,136,135,136,136,139,140,144,146,
148,152,155,158,160,162,163,164,163,163,161,162,161,159,158,155,153,150,147,144,142,139,137,137,
135,136,135,136,136,138,139,141,143,146,149,152,156,160,163,167,170,171,174,173,174,172,171,167,
163,158,150,145,136,131,123,117,108,103, 96, 91, 87, 83, 82, 80, 81, 84, 86, 90, 96,100,109,115,
125,133,140,149,156,163,167,172,174,177,176,177,173,172,168,166,161,159,155,152,150,147,145,142,
141,139,136,135,134,131,130,127,127,125,126,126,127,127,127,129,128,130,129,130,129,128,125,121,
117,114,109,103, 99, 93, 89, 85, 81, 79, 76, 76, 75, 76, 77, 79, 82, 85, 89, 91, 97,101,106,111,
116,120,125,128,132,134,137,136,136,134,130,126,119,114,105, 97, 90, 82, 75, 69, 63, 58, 52, 50,
 47, 47, 46, 48, 49, 52, 55, 60, 65, 70, 76, 81, 87, 91, 97,101,107,111,113,117,117,120,120,121,
120,120,118,116,115,113,112,110,109,108,107,107,107,108,108,110,111,114,116,120,125,128,135,138,
144,147,152,155,158,159,161,162,161,160,158,155,150,147,142,139,134,130,128,124,124,122,121,123,
125,126,132,136,144,150,159,166,176,182,190,196,202,207,210,214,215,216,215,215,211,208,202,198,
191,187,179,175,167,163,156,151,144,141,136,133,129,126,123,121,120,118,120,119,121,123,124,128,
130,134,135,138,140,141,143,143,144,143,143,142,140,139,137,136,133,133,130,129,127,128,126,126,
128,128,131,132,136,140,143,148,153,158,163,167,171,173,175,175,173,171,166,161,154,148,140,134,
127,120,114,108,104, 99, 97, 96, 94, 95, 95, 96, 97,100,102,106,110,112,117,121,127,132,135,141,
144,149,151,155,156,158,158,157,156,153,150,146,143,138,133,128,122,118,113,110,105,103, 99, 97,
 94, 93, 93, 90, 91, 89, 91, 91, 91, 93, 93, 95, 96, 97, 97, 98, 96, 96, 94, 91, 89, 85, 82, 78,
 75, 71, 68, 64, 64, 62, 63, 62, 65, 66, 70, 72, 78, 83, 88, 95,101,108,114,121,127,130,134,135,
138,137,138,135,134,131,126,121,117,111,105, 99, 93, 87, 83, 78, 75, 70, 67, 63, 62, 61, 60, 62,
 64, 65, 70, 74, 78, 84, 91, 97,103,111,117,125,130,137,141,146,148,152,155,156,158,159,159,159,
158,156,155,152,151,149,146,146,145,146,147,147,151,153,157,160,165,168,172,174,178,178,180,180,
180,178,175,172,168,163,160,154,149,144,139,136,132,131,128,128,127,128,128,130,131,135,137,141,
144,149,153,159,164,169,173,177,181,183,187,187,188,187,186,184,182,178,175,170,165,161,155,152,
145,142,136,132,128,122,119,114,112,108,108,107,106,108,109,113,116,120,124,129,133,139,142,145,
146,149,149,150,149,146,144,141,139,136,135,134,132,133,132,134,134,137,138,142,144,146,150,151,
155,157,159,161,161,162,161,161,159,158,155,151,148,144,140,135,130,124,119,113,107,101, 97, 91,
 88, 84, 81, 80, 78, 78, 78, 79, 81, 82, 87, 90, 96, 99,103,108,112,117,120,124,126,130,132,133,
135,135,135,132,131,128,123,120,115,112,106,102, 96, 93, 88, 84, 80, 77, 74, 74, 73, 75, 77, 77,
 81, 82, 86, 88, 91, 95, 96, 98,100, 99,101, 99,100, 99, 96, 96, 93, 93, 92, 90, 90, 89, 88, 89,
 89, 89, 92, 93, 94, 97, 99,103,106,110,114,119,122,128,132,136,140,143,145,146,146,146,147,145,
145,144,141,139,136,133,129,126,123,119,116,111,109,105,104,102,100,102,103,106,109,114,119,126,
132,139,145,153,158,164,170,174,179,182,183,185,184,184,181,180,177,175,171,170,167,165,163,160,
159,156,156,153,154,153,153,151,153,151,153,153,153,153,151,151,148,148,146,143,141,137,135,131,
126,124,119,117,114,111,110,109,109,108,110,111,111,113,115,116,120,121,125,127,132,136,141,145,
149,154,157,162,167,170,173,176,176,178,176,174,172,167,163,158,152,146,140,135,129,126,121,118,
114,113,111,111,111,112,113,116,120,121,126,128,129,132,133,136,136,139,139,141,141,142,141,141,
139,139,136,136,135,134,132,132,130,129,127,127,126,127,127,126,128,127,130,130,130,132,131,131,
130,130,127,127,124,122,118,115,111,107,104, 99, 95, 90, 87, 82, 79, 75, 72, 68, 67, 65, 62, 63,
 61, 62, 64, 65, 68, 72, 77, 83, 89, 95,100,107,111,117,121,127,129,133,133,136,135,136,133,132,
129,125,123,119,118,115,111,108,104,102, 98, 96, 93, 91, 89, 89, 88, 89, 89, 91, 91, 93, 94, 95,
 97, 97, 99, 99,101,101,103,103,105,105,107,108,111,113,117,118,122,123,127,129,132,134,136,139,
141,144,148,151,154,158,161,165,168,172,174,177,179,180,181,181,181,180,178,174,171,166,161,156,
151,146,142,137,132,129,125,122,121,119,119,119,120,122,124,128,132,136,139,144,148,150,155,158,
160,163,165,166,168,168,168,166,165,162,161,159,158,155,154,152,149,149,147,147,145,145,143,143,
142,142,141,141,140,140,139,138,137,135,135,135,133,135,133,135,134,132,131,129,128,125,124,122,
119,118,115,114,112,112,111,112,113,114,116,121,124,130,135,141,146,152,157,161,165,169,170,172,
172,173,172,169,167,163,160,155,151,146,140,136,129,124,118,114,110,105,102, 98, 95, 94, 93, 91,
 93, 93, 96, 99,100,104,106,109,111,113,114,117,118,120,120,120,121,120,120,118,118,116,117,116,
115,114,113,113,112,110,108,107,105,105,105,104,105,104,106,106,107,107,108,108,107,109,107,108,
107,106,103,101, 97, 94, 91, 87, 83, 81, 77, 75, 73, 72, 72, 71, 71, 71, 71, 73, 75, 78, 81, 86,
 91, 95,102,107,111,117,120,126,128,133,135,138,139,139,139,138,138,137,134,134,131,130,128,128,
125,125,122,121,119,118,118,117,116,116,116,118,119,120,123,123,127,129,130,134,137,139,143,146,
146,149,149,151,151,152,152,150,151,149,150,148,149,147,148,147,149,149,152,152,156,159,162,166,
168,172,175,177,180,180,182,184,182,183,181,180,177,172,169,163,158,151,145,138,134,127,123,117,
114,110,109,106,106,107,107,110,113,116,119,123,125,130,133,137,139,143,146,150,152,154,157,158,
160,161,162,161,162,160,159,158,155,153,150,147,143,140,136,134,130,128,127,125,127,127,128,130,
131,133,133,135,135,137,137,138,137,136,136,135,132,131,128,124,122,119,118,116,115,112,112,110,
110,109,108,109,110,112,115,117,122,125,130,132,136,138,142,144,146,147,148,148,147,146,142,140,
135,132,126,122,117,113,108,102, 99, 93, 90, 85, 83, 78, 77, 73, 73, 71, 73, 72, 74, 75, 78, 78,
 82, 85, 87, 91, 94, 96,100,102,106,108,109,111,110,112,110,112,110,111,111,110,110,110,108,109,
109,108,107,108,108,109,110,112,113,114,117,117,119,121,121,121,120,119,119,118,115,113,108,106,
101, 99, 94, 92, 89, 87, 86, 84, 85, 84, 86, 87, 88, 92, 94, 99,103,109,115,119,125,130,136,141,
147,151,157,160,165,169,171,175,176,178,176,177,175,174,170,168,164,161,156,153,147,144,140,135,
134,131,129,129,130,130,130,133,134,137,139,142,144,147,149,153,154,158,158,161,160,162,161,161,
159,157,155,153,150,148,145,144,141,140,139,139,140,140,143,145,148,150,154,156,159,160,162,162,
164,163,164,164,162,161,159,157,153,151,146,144,140,137,133,131,127,125,121,118,114,112,110,108,
108,107,110,110,114,117,120,125,128,134,138,142,148,152,157,160,163,165,167,167,167,167,165,164,
162,159,155,153,148,145,140,136,131,128,125,122,118,117,114,114,112,113,112,113,113,114,113,116,
115,117,115,117,115,116,113,113,110,108,107,104,103,101, 98, 97, 96, 93, 93, 92, 92, 93, 93, 95,
 98, 98,102,105,107,111,112,116,117,121,121,125,126,128,126,128,126,126,122,121,116,113,108,105,
100, 97, 92, 88, 84, 81, 77, 74, 72, 70, 69, 69, 69, 71, 73, 76, 79, 83, 86, 91, 94,100,104,108,
111,116,118,122,124,125,126,125,125,124,124,122,121,119,118,116,114,113,112,112,113,112,114,116,
118,119,123,124,127,128,130,132,132,135,135,138,138,139,139,138,139,137,137,135,134,134,132,131,
129,128,125,124,124,121,122,121,123,123,126,127,132,135,140,144,147,152,154,160,162,167,170,174,
176,179,178,181,179,179,177,176,173,169,166,161,157,150,147,141,136,131,127,123,121,119,118,119,
119,121,123,124,127,129,132,135,138,140,142,144,145,146,147,148,147,147,148,149,149,149,149,148,
148,146,147,145,146,144,145,143,145,145,145,146,148,148,150,151,153,155,155,157,157,159,159,159,
159,157,156,153,151,149,144,142,137,134,131,126,122,119,115,113,111,107,107,106,106,108,108,111,
113,116,120,123,128,131,135,138,142,145,148,150,152,152,152,152,150,149,146,144,139,136,131,127,
123,117,115,109,107,104,101,100, 98, 97, 96, 96, 95, 95, 95, 96, 95, 97, 96, 99, 98,101,101,100,
100, 99, 99, 99, 98, 96, 95, 93, 93, 91, 91, 88, 89, 88, 87, 87, 88, 90, 91, 93, 96, 98,101,104,
107,111,113,118,119,124,127,129,131,133,131,133,131,131,128,127,123,118,115,110,106,100, 97, 92,
 87, 83, 81, 78, 78, 77, 79, 80, 81, 85, 89, 92, 97,100,105,109,114,118,123,128,130,135,136,141,
142,146,147,150,150,153,153,152,153,151,151,148,147,144,144,143,142,140,140,139,141,140,141,141,
142,143,143,145,144,147,146,148,147,149,148,150,150,150,149,150,148,147,145,144,142,139,136,134,
132,130,130,128,127,128,130,130,134,136,141,144,147,152,154,159,161,165,166,168,167,169,167,167,
164,163,159,157,153,150,146,142,138,134,131,126,124,119,117,114,112,112,111,111,112,111,113,114,
117,119,120,125,126,130,132,134,137,140,142,143,146,146,148,148,149,148,149,146,147,144,144,142,
140,140,138,138,137,138,137,138,138,137,138,138,139,140,140,141,141,142,141,140,140,139,138,136,
134,132,128,126,122,118,115,110,108,104,102, 99, 97, 97, 98, 96, 99, 99,102,103,106,108,112,115,
118,123,124,129,131,133,135,137,137,139,138,139,137,137,134,132,129,124,122,117,115,111,107,104,
101, 99, 97, 94, 94, 93, 93, 91, 93, 92, 94, 95, 97, 98,100,102,105,108,108,111,111,114,114,116,
117,115,115,113,112,109,109,105,104,101,101, 99,100,100,100,102,103,106,109,112,114,119,121,125,
127,130,130,133,134,134,135,135,135,134,134,134,132,129,128,125,123,120,119,115,115,111,112,109,
111,109,112,112,115,116,120,123,125,129,131,135,138,141,145,147,151,154,155,159,159,163,163,163,
164,163,164,161,161,158,155,153,150,146,144,140,139,137,134,133,132,132,132,132,133,133,135,137,
136,139,139,141,141,140,141,140,140,138,138,135,135,133,131,130,129,126,126,124,125,125,125,127,
129,129,132,134,136,139,141,143,146,149,150,154,154,157,158,160,159,162,160,162,161,159,157,155,
152,150,146,143,139,134,132,127,125,120,119,115,115,112,112,111,112,112,111,113,114,116,116,118,
120,123,125,128,130,132,134,135,136,136,136,134,134,131,131,128,126,122,122,118,118,115,115,114,
113,114,113,114,113,114,114,114,115,116,115,117,116,118,117,119,117,118,116,116,115,112,112,108,
107,104,101, 98, 97, 94, 94, 91, 92, 91, 92, 91, 94, 94, 97, 98,101,104,107,110,113,116,119,122,
126,130,131,136,138,139,141,140,141,140,139,136,134,130,127,123,120,115,111,107,104,101, 99, 96,
 97, 96, 97, 98, 99,101,103,105,108,111,113,117,119,122,123,126,127,129,130,131,134,133,135,133,
134,133,134,133,133,131,133,132,134,133,136,137,137,139,139,142,143,143,145,145,146,148,146,148,
148,148,148,147,147,146,145,145,142,141,139,138,136,134,132,130,127,126,123,122,121,120,120,118,
120,120,122,123,126,129,131,136,139,142,146,149,153,155,158,160,160,161,160,160,158,157,155,151,
150,146,145,141,140,136,136,133,131,131,129,129,129,128,128,128,128,128,129,129,131,132,133,135,
134,137,136,138,138,139,139,138,138,138,137,136,135,135,134,133,133,133,133,134,135,135,136,137,
137,139,138,140,139,141,140,143,143,146,146,147,148,149,148,149,147,146,143,141,138,135,131,128,
123,120,117,113,111,107,106,104,103,102,101,102,102,103,104,104,106,108,108,112,112,116,118,120,
123,124,126,125,127,126,125,125,123,122,120,119,116,115,113,110,109,107,107,106,104,104,103,102,
101,100,100, 99, 99, 99,100,100,101,101,103,103,105,105,107,106,108,109,108,109,108,107,106,105,
104,103,101,100,100, 98, 99, 98, 99, 99,101,102,104,107,109,111,115,117,120,123,126,129,131,133,
135,135,137,136,137,135,135,134,132,131,130,126,126,122,122,119,119,117,118,117,118,117,118,118,
119,121,122,125,126,129,129,133,133,137,137,140,140,143,143,145,146,148,148,150,151,150,152,151,
153,152,153,152,152,151,151,150,150,148,148,147,147,147,146,148,147,150,150,150,152,151,152,151,
151,149,149,146,145,141,140,136,135,130,129,127,124,124,122,123,122,123,122,124,124,126,127,130,
131,133,136,139,140,142,145,148,148,151,151,154,154,155,155,155,154,154,152,151,150,148,146,144,
142,141,140,138,138,136,135,134,132,132,130,129,128,127,127,126,126,127,126,128,127,129,128,129,
129,130,129,129,128,128,127,126,126,123,123,121,122,120,121,121,120,121,119,121,120,122,120,122,
122,123,124,125,125,128,127,128,128,127,127,126,126,123,123,120,118,115,113,110,108,104,104,101,
101, 98, 98, 96, 97, 96, 96, 96, 97, 98, 99,101,100,103,104,107,109,110,113,114,117,119,122,122,
125,125,128,127,130,128,130,127,128,125,125,122,121,118,117,114,112,111,109,107,106,106,105,105,
105,107,106,108,107,109,109,110,110,111,110,111,110,111,111,110,111,109,110,108,110,109,111,110,
113,113,115,116,118,121,121,125,127,130,132,135,136,140,141,144,145,146,146,147,145,145,144,143,
142,141,140,138,137,134,134,132,133,132,131,131,130,130,128,129,127,128,127,127,127,127,128,128,
130,132,132,135,137,139,141,141,144,145,146,145,147,146,147,145,146,144,145,144,145,145,144,145,
144,145,144,146,145,147,147,147,148,149,148,150,148,150,149,150,149,149,148,146,146,144,142,142,
139,138,137,133,133,130,131,130,130,129,129,131,130,132,133,134,135,136,138,139,141,143,143,144,
146,147,148,149,148,149,149,149,148,147,148,145,144,141,138,137,134,132,130,127,125,123,119,119,
116,114,113,111,111,110,109,109,109,109,109,110,111,112,114,114,116,115,116,117,117,117,116,115,
116,114,115,113,113,111,112,110,111,110,111,111,112,112,113,115,114,117,117,118,119,119,121,122,
122,122,122,120,120,119,119,117,117,115,115,113,113,112,111,110,109,109,107,107,107,105,105,104,
104,103,104,104,105,105,107,109,109,113,113,117,119,121,122,125,126,129,129,131,131,132,132,133,
132,132,133,131,131,129,130,129,128,126,126,125,124,125,123,124,124,123,124,125,125,126,127,128,
128,128,128,128,128,127,127,125,124,124,124,122,123,122,124,124,126,127,128,130,131,133,134,136,
137,138,139,140,141,141,143,143,145,146,146,148,148,149,149,150,149,149,148,148,146,145,145,142,
140,138,136,135,132,131,130,128,127,126,126,125,126,126,126,128,127,130,130,133,133,136,136,139,
140,142,143,145,145,146,145,146,146,145,146,145,144,144,144,142,143,141,142,142,141,143,142,144,
144,143,144,143,144,145,143,145,144,143,144,144,142,142,140,140,138,137,135,134,133,130,130,127,
125,125,124,122,122,120,121,120,120,120,121,121,121,122,123,124,125,126,128,129,131,132,133,135,
135,136,136,135,135,134,133,130,130,126,125,121,119,118,115,113,110,109,107,106,104,102,102,101,
101,101,101,101,102,104,103,105,106,106,107,107,108,107,109,108,110,109,110,111,111,112,113,114,
115,116,118,117,119,119,119,120,120,119,120,120,119,120,118,120,118,120,119,121,120,121,120,120,
119,118,119,117,118,116,115,114,113,113,112,111,110,109,108,108,108,107,108,107,108,108,109,110,
112,113,115,118,120,123,126,129,132,134,135,138,139,139,141,139,141,138,139,137,138,135,136,135,
133,133,132,133,133,133,132,132,132,132,131,132,131,132,131,133,133,133,135,135,135,136,135,136,
136,136,138,136,137,136,137,135,137,136,135,135,134,134,133,134,134,134,134,135,135,136,136,137,
138,139,140,141,143,145,145,147,147,147,147,147,146,146,145,144,142,141,140,137,136,133,131,130,
128,127,126,125,125,124,125,125,126,127,128,129,131,133,135,137,139,140,142,143,145,146,146,147,
146,147,147,146,146,144,145,142,142,141,139,139,137,137,134,134,133,132,130,130,128,127,125,125,
123,124,123,124,122,123,122,123,122,122,121,121,120,120,119,119,118,118,118,116,117,116,115,115,
114,114,113,114,114,115,116,117,117,119,120,122,124,126,126,129,129,131,132,131,132,131,129,128,
128,125,125,122,122,120,120,118,117,116,116,114,115,114,113,114,112,113,111,112,111,113,112,113,
114,114,115,117,117,117,119,117,119,119,118,118,118,118,117,118,118,117,117,118,118,117,118,117,
118,118,118,118,118,119,117,119,119,120,121,121,123,123,125,127,127,128,129,129,128,128,127,126,
124,123,122,118,118,115,115,114,112,111,112,111,112,113,112,115,115,117,118,120,122,124,126,129,
130,133,134,136,138,138,141,140,142,141,143,143,144,143,143,141,142,139,140,138,137,136,134,134,
132,132,130,130,129,129,129,129,129,129,130,130,132,132,133,134,134,136,136,138,138,139,139,139,
141,140,142,141,141,142,141,141,141,140,141,140,141,141,140,142,141,143,142,145,145,146,147,148,
149,150,149,150,149,149,148,148,146,145,144,141,141,138,138,135,134,131,131,128,128,125,125,123,
123,121,121,120,120,120,120,120,121,122,121,124,123,125,124,126,125,127,127,126,128,127,128,127,
129,127,129,128,129,128,128,126,127,126,124,124,122,123,121,122,120,121,121,121,122,122,123,122,
123,123,122,122,121,121,119,118,116,116,115,113,112,111,110,110,109,110,110,112,111,113,114,116,
115,118,120,122,123,125,126,128,130,132,133,134,134,135,135,135,134,134,133,130,130,127,126,123,
123,121,120,117,117,115,115,113,113,113,111,112,111,110,110,109,110,111,111,112,113,114,116,117,
118,120,120,122,124,124,126,126,127,125,126,124,125,124,124,123,123,122,122,122,120,122,120,121,
122,122,123,124,125,127,126,129,128,130,130,131,131,132,131,131,130,130,129,129,129,127,128,126,
127,127,127,125,124,125,123,124,123,124,123,125,124,126,126,127,129,130,131,132,134,135,137,139,
139,141,142,142,143,144,145,144,144,144,144,143,142,141,141,139,139,136,136,134,133,132,130,131,
129,130,129,131,130,132,132,134,135,135,137,138,138,140,140,141,142,141,142,142,141,141,142,140,
141,140,139,139,139,137,138,137,137,137,135,137,135,137,136,138,136,138,137,138,138,137,137,136,
135,135,133,132,132,129,129,126,127,125,123,123,122,120,120,117,117,116,114,114,113,111,111,112,
111,112,113,113,115,117,119,121,122,125,125,127,128,130,130,131,132,130,131,130,129,129,128,127,
126,126,124,124,124,123,122,122,122,122,121,121,122,123,123,124,125,125,127,128,128,129,129,130,
130,129,130,128,129,126,127,124,125,124,122,122,121,121,121,119,120,119,119,118,119,119,118,120,
118,121,120,120,122,122,123,123,125,125,127,127,127,129,129,128,129,129,128,128,126,125,124,121,
121,117,117,114,113,112,109,110,107,109,108,108,109,110,111,113,113,116,116,119,119,122,123,124,
125,126,127,128,129,130,130,131,132,131,131,131,130,131,131,129,130,129,129,128,129,129,128,130,
129,131,131,130,132,132,131,132,131,131,131,131,130,131,130,131,130,131,130,130,131,129,130,129,
129,129,128,129,128,129,129,129,130,131,132,134,135,137,139,140,142,143,145,146,148,148,150,150,
150,150,150,150,150,148,147,146,145,143,141,140,137,137,135,132,131,129,128,127,126,125,125,125,
125,126,124,126,126,126,125,126,125,126,125,124,125,124,123,124,123,123,122,123,122,123,122,123,
123,123,122,123,121,122,121,122,121,123,122,124,124,124,125,125,127,126,128,127,129,128,130,128,
129,129,128,127,127,124,124,121,121,119,119,118,115,116,114,113,113,113,114,114,115,116,118,119,
121,122,125,127,128,131,132,134,134,135,137,136,138,136,138,135,136,133,133,130,130,129,127,125,
125,123,123,122,119,120,118,119,119,119,117,119,117,119,118,119,119,119,118,120,120,121,121,122,
123,122,124,123,124,124,124,123,124,122,123,122,120,121,119,120,118,119,120,120,121,123,122,124,
124,126,126,128,129,129,128,129,130,128,130,128,129,128,129,128,126,125,126,124,125,123,124,122,
122,121,122,121,122,122,124,124,126,126,128,128,131,132,132,134,134,135,136,137,137,138,138,140,
141,140,141,140,142,141,142,141,142,141,140,140,139,139,137,138,136,137,135,136,136,135,136,135,
135,137,136,137,137,138,139,139,138,139,140,138,139,137,138,138,137,136,136,134,134,133,131,132,
129,130,129,128,129,129,129,130,130,132,131,133,133,134,134,133,135,133,134,132,133,131,131,129,
129,126,125,123,123,121,120,119,117,117,115,115,113,114,111,113,111,112,112,113,112,114,113,115,
115,117,117,119,120,122,124,124,126,125,128,126,128,127,128,126,127,125,126,124,124,123,122,121,
121,120,120,121,120,122,122,123,124,125,125,127,127,129,131,130,133,132,134,133,133,132,131,130,
129,128,127,124,124,121,121,120,117,118,116,118,116,118,118,118,120,120,122,123,123,125,125,127,
127,129,129,130,130,131,132,131,132,131,132,130,131,130,128,128,125,125,123,120,119,116,115,113,
112,112,110,110,110,110,111,111,112,112,115,114,117,117,120,119,122,122,124,124,124,125,125,126,
125,126,125,125,124,124,122,123,122,122,122,123,122,124,124,127,128,129,131,132,135,135,138,138,
141,140,143,143,143,143,143,142,143,141,140,140,138,138,137,134,134,133,130,130,127,128,127,126,
126,126,127,128,127,130,131,132,134,135,138,138,142,143,147,146,150,149,152,152,153,153,153,153,
152,152,150,150,147,146,144,143,139,139,136,136,134,134,131,132,130,132,131,132,131,133,133,134,
135,134,135,134,133,133,132,131,129,129,127,126,123,123,120,120,117,117,114,115,112,114,113,114,
112,114,112,114,114,115,115,117,118,118,121,121,124,124,126,125,128,126,128,127,128,127,126,125,
123,122,121,119,118,115,114,113,112,111,110,109,109,109,108,110,109,111,112,114,116,118,120,122,
124,126,129,129,133,133,134,135,136,134,135,133,133,131,130,128,127,126,123,124,121,123,120,122,
121,121,120,122,120,122,121,123,124,123,125,124,126,125,125,126,126,125,126,125,124,125,123,123,
122,120,119,117,116,115,114,114,111,113,111,111,111,112,112,114,115,115,118,119,122,123,125,127,
128,129,130,131,132,132,133,131,132,130,130,128,127,125,123,122,121,119,118,118,117,117,116,118,
117,119,119,121,121,123,124,126,127,127,130,129,132,131,133,132,135,134,135,135,135,135,134,134,
133,133,132,132,132,132,132,132,132,133,133,134,134,136,136,138,138,140,141,142,143,144,144,145,
146,146,148,147,149,147,149,148,148,146,146,145,143,144,141,142,140,139,138,137,137,136,136,137,
135,138,137,139,139,141,142,143,143,144,144,145,145,143,144,141,142,140,141,140,139,140,138,139,
138,138,137,136,136,135,135,135,135,135,133,134,134,135,135,136,137,139,139,139,142,141,143,143,
143,143,142,141,140,139,136,134,131,129,126,122,120,117,116,114,113,112,111,110,109,109,109,109,
112,113,117,119,123,125,129,129,133,132,136,135,138,137,139,135,135,131,127,124,119,116,111,108,
102,100, 94, 92, 87, 87, 83, 82, 81, 80, 81, 81, 83, 85, 86, 90, 93, 95, 99,102,106,109,113,115,
119,119,122,121,122,121,119,119,116,115,111,111,106,106,103,101, 99, 98, 94, 94, 91, 92, 91, 92,
 92, 93, 95, 94, 97, 97,100, 99,103,104,106,108,109,111,112,111,113,111,112,110,109,108,106,105,
103,102, 99,101, 99,100, 98,100, 99,102,102,105,108,109,113,115,120,122,128,130,136,138,144,145,
150,150,153,152,154,152,153,151,150,147,146,144,140,140,137,136,136,136,137,139,141,145,147,152,
155,159,161,165,167,170,172,173,175,176,177,178,178,179,178,178,176,176,173,172,168,165,161,157,
154,151,146,143,139,136,133,130,129,128,126,127,126,128,129,131,133,135,139,139,143,143,146,144,
146,144,144,142,141,138,137,134,132,129,127,125,123,123,120,120,119,119,121,122,125,128,132,137,
140,145,149,155,159,163,169,171,176,177,178,178,177,176,173,172,170,169,167,166,164,162,159,158,
153,153,149,149,146,146,144,144,143,143,142,141,141,141,142,141,144,143,146,144,147,147,148,148,
148,148,147,145,143,140,136,132,127,122,117,112,107,102, 97, 93, 89, 86, 83, 80, 79, 77, 75, 76,
 76, 78, 79, 81, 84, 87, 90, 92, 95, 96, 98, 98, 99, 98, 97, 95, 94, 91, 89, 87, 84, 83, 79, 77,
 75, 75, 73, 74, 72, 74, 72, 74, 73, 75, 76, 77, 78, 79, 80, 82, 83, 85, 87, 88, 89, 91, 93, 95,
 97, 97,100,101,103,104,105,107,106,107,106,107,105,106,104,104,103,102,102,101,102,103,104,105,
108,108,114,115,119,122,126,129,132,134,136,138,139,139,138,139,136,136,132,131,126,126,121,122,
120,120,121,123,123,128,132,138,143,149,155,161,166,172,177,181,186,189,194,194,197,197,197,197,
195,195,192,192,188,188,183,182,177,176,170,169,164,162,158,155,153,150,148,146,144,144,143,143,
143,144,145,145,145,145,146,144,143,142,140,139,136,135,132,131,126,125,119,119,114,114,109,109,
105,106,103,102,101,100,102,102,106,108,114,116,123,126,130,133,136,138,140,142,143,142,143,142,
142,140,139,138,137,135,134,135,132,134,133,135,135,138,139,142,144,147,149,152,154,155,159,158,
163,162,166,165,169,170,171,172,173,172,174,172,172,171,168,166,161,159,154,150,144,140,135,129,
124,119,114,109,106,102,100, 96, 96, 93, 94, 92, 94, 93, 96, 96, 97, 98,100,100,102,101,102,100,
100, 98, 97, 95, 93, 90, 88, 86, 83, 82, 80, 79, 79, 78, 78, 78, 78, 80, 80, 82, 83, 82, 84, 83,
 85, 83, 85, 84, 84, 84, 83, 84, 83, 83, 85, 85, 86, 87, 88, 90, 90, 92, 92, 95, 94, 97, 96, 98,
 98, 98, 99,100,101,101,102,101,104,103,106,107,110,110,115,115,119,119,123,125,126,129,129,130,
129,129,127,125,120,119,114,112,108,107,104,104,102,104,104,107,109,113,118,122,128,133,139,144,
150,152,158,160,164,165,168,169,171,172,173,173,174,174,175,175,175,176,176,176,176,175,174,173,
173,172,170,170,170,170,169,169,170,167,169,166,168,166,165,165,164,161,161,157,154,151,147,143,
140,136,133,131,127,125,121,118,115,111,109,106,104,102,102,100,101,100,103,104,108,111,114,117,
120,124,126,129,130,132,132,134,133,134,133,131,130,130,127,128,125,127,125,127,127,130,131,132,
135,136,139,140,142,144,146,145,147,146,148,147,149,148,150,149,151,152,151,153,153,155,154,156,
155,157,155,156,155,153,152,150,149,146,144,140,139,136,133,129,129,125,125,122,124,122,123,123,
124,124,125,125,125,125,124,123,122,120,118,115,113,110,106,103,100, 97, 95, 93, 91, 90, 88, 89,
 88, 89, 89, 90, 90, 91, 92, 93, 95, 93, 95, 92, 93, 90, 90, 89, 88, 86, 85, 85, 82, 84, 81, 84,
 82, 85, 85, 87, 88, 90, 92, 96, 96,100,100,103,104,106,107,109,110,109,112,110,112,110,113,111,
114,114,117,118,121,122,124,125,126,126,126,126,123,123,120,120,116,116,113,111,111,110,112,112,
115,117,122,124,131,134,141,144,151,153,160,162,167,168,172,173,173,175,175,177,178,178,180,180,
181,181,181,181,181,181,181,181,182,181,181,179,179,177,178,176,177,175,177,175,176,174,175,173,
172,171,168,167,164,163,160,159,155,155,151,151,147,147,144,143,139,138,134,133,129,126,123,120,
118,116,114,113,112,112,113,113,113,115,115,117,118,119,119,120,119,119,117,117,114,114,110,110,
106,106,105,104,105,105,107,108,111,112,115,118,121,124,127,129,132,131,135,134,136,136,136,137,
138,138,137,139,139,141,141,144,145,147,147,151,152,155,156,157,159,159,160,159,160,157,157,154,
153,149,148,143,142,137,137,132,132,128,128,126,125,124,123,122,121,121,117,118,114,114,110,110,
107,105,104,101,100, 98, 97, 96, 95, 93, 94, 94, 94, 94, 94, 94, 94, 94, 94, 91, 91, 89, 86, 85,
 81, 80, 76, 75, 71, 70, 67, 66, 64, 64, 62, 63, 63, 64, 64, 66, 67, 70, 72, 76, 78, 81, 83, 83,
 86, 85, 86, 87, 86, 86, 85, 85, 85, 86, 86, 88, 89, 91, 92, 96, 99,101,104,107,107,110,110,112,
112,112,112,112,112,111,112,110,112,112,115,116,121,123,128,129,134,136,139,141,143,146,148,151,
152,155,155,158,158,161,160,164,165,167,170,172,175,178,179,181,182,183,186,185,188,187,189,188,
189,188,188,188,187,187,185,185,182,181,178,176,172,170,168,165,163,161,159,157,156,155,154,153,
153,151,151,149,147,145,144,141,140,137,135,133,131,129,128,125,125,122,123,122,123,123,122,124,
124,123,123,122,120,120,117,118,115,115,114,114,113,115,115,117,119,121,125,127,130,131,135,135,
138,138,139,138,138,137,136,133,133,130,129,127,125,125,121,122,121,121,122,122,124,126,129,130,
134,135,140,141,145,145,147,148,148,148,147,144,143,139,138,133,132,129,126,125,122,122,120,120,
119,118,118,117,117,117,115,116,114,114,112,112,110,110,110,108,109,108,107,107,106,106,105,106,
105,105,103,103,101,100, 97, 96, 93, 93, 89, 89, 85, 85, 81, 81, 78, 78, 76, 75, 75, 75, 76, 78,
 80, 81, 84, 86, 90, 91, 95, 97, 99,101,101,100,101, 98, 97, 94, 93, 90, 90, 88, 88, 86, 86, 85,
 86, 87, 89, 91, 94, 98, 99,102,104,104,106,106,106,106,106,107,108,107,109,108,110,112,113,115,
117,120,122,125,127,130,132,135,136,137,139,140,143,144,146,149,150,155,157,161,164,168,171,175,
178,180,183,184,186,187,188,188,189,189,188,188,187,187,185,185,183,181,179,177,173,172,168,168,
166,164,163,163,163,164,162,165,164,166,165,167,167,166,168,166,166,163,162,159,156,153,150,148,
146,142,141,140,138,138,136,137,136,136,135,135,134,134,133,132,131,130,128,128,126,128,127,128,
128,130,132,132,136,135,139,138,142,142,142,143,143,143,141,141,139,138,136,135,132,130,128,127,
125,124,123,123,123,124,125,128,130,134,137,141,145,147,151,151,155,155,156,155,155,152,151,147,
145,140,138,135,130,128,124,123,119,119,116,115,114,113,112,113,111,112,111,112,111,111,109,109,
108,108,108,108,108,107,106,105,104,103,101,101, 99, 98, 97, 95, 93, 91, 89, 87, 84, 83, 79, 79,
 76, 74, 72, 71, 69, 67, 68, 67, 68, 69, 72, 74, 78, 80, 83, 86, 87, 89, 92, 93, 93, 94, 93, 94,
 92, 90, 87, 85, 82, 80, 78, 77, 76, 76, 77, 78, 81, 83, 86, 89, 91, 95, 97,101,103,105,107,108,
110,111,111,112,112,113,113,114,115,117,117,120,121,123,124,126,127,128,129,131,131,132,134,135,
138,141,144,148,151,155,158,163,166,170,173,176,178,180,182,183,185,184,186,185,187,186,185,185,
183,183,180,180,177,175,173,171,169,167,166,166,163,165,163,165,166,167,167,170,170,172,172,173,
172,171,170,168,165,162,159,156,152,149,144,142,138,137,134,132,131,130,129,128,127,127,126,127,
125,127,125,127,127,126,128,127,129,130,132,134,135,137,140,141,143,144,146,145,147,145,146,144,
144,143,141,139,137,134,131,129,126,124,122,121,120,120,120,120,122,123,128,129,135,137,143,146,
149,152,156,155,158,156,157,156,153,151,147,145,140,137,132,129,123,122,117,117,113,114,111,112,
110,111,111,110,112,111,113,112,114,113,112,112,111,111,110,109,107,106,104,102, 98, 96, 93, 89,
 87, 85, 82, 80, 77, 75, 73, 71, 68, 67, 64, 62, 62, 62, 61, 62, 62, 63, 64, 67, 70, 72, 75, 78,
 82, 85, 89, 92, 94, 94, 96, 95, 95, 93, 92, 89, 86, 85, 81, 80, 77, 75, 74, 73, 74, 74, 75, 79,
 81, 85, 88, 91, 96, 98,103,104,108,108,111,111,114,113,116,115,117,118,119,119,121,121,123,123,
125,126,124,126,125,127,126,127,129,132,133,137,139,144,148,151,157,160,165,167,173,174,179,179,
184,183,187,186,188,188,188,186,186,184,184,182,180,178,175,172,169,168,164,163,160,159,158,158,
158,160,160,163,165,166,169,171,172,173,174,174,174,171,171,167,165,161,159,155,151,149,144,143,
138,137,133,134,130,131,128,130,127,129,127,128,126,127,126,127,127,128,130,130,131,132,134,135,
137,136,139,139,141,141,143,142,143,142,142,141,139,139,137,137,133,134,131,130,128,128,127,128,
129,130,131,134,136,138,142,145,149,151,156,157,161,161,164,162,163,160,159,156,153,150,145,143,
137,135,129,127,122,121,119,118,117,116,117,116,116,115,116,115,117,115,118,117,119,118,117,117,
115,114,112,111,109,107,103,102, 98, 97, 93, 93, 89, 87, 85, 83, 81, 79, 77, 77, 74, 75, 72, 72,
 70, 71, 71, 70, 72, 73, 75, 77, 79, 82, 84, 87, 89, 92, 93, 95, 95, 96, 94, 94, 92, 90, 86, 85,
 80, 80, 76, 75, 74, 74, 74, 75, 78, 80, 84, 86, 91, 93, 99,101,105,108,110,112,113,114,115,116,
117,117,118,118,118,119,118,119,117,118,116,117,114,115,115,114,116,116,119,120,122,126,129,133,
136,141,146,148,154,157,161,164,167,170,172,174,176,177,178,178,179,178,178,177,176,176,173,173,
170,168,166,165,161,161,158,159,158,159,160,160,163,164,168,168,172,174,175,176,177,177,177,174,
174,170,168,163,160,156,152,148,144,141,137,136,132,132,129,129,127,128,127,129,129,130,130,131,
132,132,133,134,135,136,138,138,140,139,141,142,142,142,144,143,145,145,144,145,142,143,140,140,
138,136,135,133,133,131,130,128,128,128,128,127,130,130,135,135,140,142,145,148,151,154,157,158,
159,161,160,159,157,154,151,149,145,143,138,137,132,130,128,126,125,124,123,122,122,121,123,122,
124,124,125,125,125,125,126,124,124,123,121,120,117,116,113,110,107,103,100, 98, 93, 92, 87, 87,
 83, 83, 80, 78, 77, 75, 73, 71, 70, 69, 67, 67, 66, 67, 67, 69, 70, 72, 74, 77, 79, 82, 84, 87,
 89, 90, 90, 92, 90, 91, 87, 88, 83, 83, 79, 79, 75, 76, 74, 75, 77, 77, 81, 82, 86, 90, 94, 98,
102,105,109,109,113,113,116,115,118,118,118,119,119,120,119,119,119,118,117,117,117,116,117,117,
118,118,119,120,123,126,129,132,135,139,143,146,152,154,160,163,166,169,173,174,176,178,178,180,
180,181,179,180,178,179,177,175,174,172,170,167,166,164,161,160,158,158,158,156,158,157,160,160,
164,165,169,170,172,173,173,173,173,171,171,167,165,162,158,155,150,147,141,140,136,135,132,131,
129,128,127,126,126,126,127,128,129,130,131,132,132,133,133,134,133,134,134,134,134,134,133,134,
132,133,131,132,131,130,130,130,129,128,128,126,126,125,125,124,125,125,124,125,126,127,128,130,
132,135,138,141,146,147,152,154,155,158,158,159,158,158,154,154,150,149,144,144,139,138,133,132,
128,128,126,124,125,124,123,124,124,125,125,125,126,126,127,125,126,124,124,121,120,117,115,112,
108,105,101, 98, 95, 92, 89, 87, 85, 84, 82, 82, 81, 80, 79, 77, 77, 75, 76, 74, 73, 73, 72, 72,
 72, 72, 72, 73, 73, 75, 76, 78, 78, 80, 80, 82, 81, 82, 80, 80, 77, 77, 73, 72, 69, 68, 65, 66,
 64, 66, 68, 69, 73, 74, 80, 82, 87, 89, 94, 96,101,102,106,108,109,112,112,114,114,116,116,115,
115,116,113,115,112,113,112,111,112,112,111,113,115,115,118,120,123,126,131,133,139,141,147,149,
155,156,161,162,167,168,171,172,175,176,177,178,177,177,177,176,176,175,175,174,173,171,170,168,
168,165,166,164,166,164,167,166,169,169,173,173,177,178,181,182,183,182,182,181,178,176,172,169,
165,162,158,155,149,147,142,140,136,136,133,133,132,132,132,133,133,134,134,135,136,137,138,139,
140,140,140,139,139,139,138,138,136,137,135,136,134,136,134,136,134,136,135,137,136,137,137,137,
137,137,136,136,136,135,136,134,137,136,140,141,143,145,147,150,151,154,154,156,156,158,157,156,
156,155,152,152,148,148,145,145,143,141,141,139,140,139,138,139,140,138,141,139,142,141,143,142,
144,142,143,141,139,138,134,133,128,126,121,120,115,112,109,106,103,101, 97, 97, 94, 93, 91, 90,
 90, 88, 87, 84, 84, 82, 82, 80, 79, 78, 78, 78, 79, 78, 79, 80, 80, 82, 82, 85, 85, 88, 86, 87,
 84, 85, 80, 80, 75, 72, 68, 65, 63, 62, 63, 62, 64, 64, 65, 67, 70, 73, 77, 80, 86, 89, 96, 99,
105,108,110,112,111,114,113,115,111,111,107,105,100, 97, 91, 87, 80, 78, 75, 73, 75, 76, 79, 82,
 87, 92,100,106,114,119,130,137,149,157,168,175,184,187,193,196,200,201,202,203,199,198,191,187,
178,172,162,155,145,140,135,130,128,124,124,123,127,129,135,139,145,151,158,166,176,185,194,198,
205,208,212,215,215,216,213,210,203,197,187,177,165,154,139,130,119,113,106,102, 98, 97, 98,101,
105,111,118,123,131,136,146,152,161,166,172,174,177,179,178,179,177,175,170,166,158,152,141,132,
120,109,101, 93, 88, 82, 77, 75, 72, 72, 74, 78, 82, 86, 91, 96,105,113,123,133,142,151,159,166,
171,178,181,186,188,191,190,191,187,183,173,166,155,148,139,132,124,118,110,106,102,101,100,100,
101,102,105,111,118,126,135,142,150,156,162,165,168,168,169,168,167,163,159,152,142,131,119,108,
 98, 89, 81, 74, 68, 63, 61, 60, 63, 65, 69, 71, 74, 78, 84, 89, 95, 99,105,108,111,113,115,115,
114,116,114,114,113,111,106,100, 92, 83, 73, 65, 56, 48, 39, 32, 25, 22, 20, 20, 22, 24, 28, 31,
 37, 44, 53, 62, 72, 81, 89, 96,105,109,114,117,120,125,127,130,129,127,123,117,110,102, 96, 91,
 84, 80, 75, 71, 71, 71, 75, 78, 82, 87, 94,100,108,117,127,135,144,150,159,163,169,171,172,175,
176,179,179,178,175,171,163,159,152,149,143,140,134,131,128,129,130,131,135,136,141,144,151,156,
165,170,179,186,195,201,209,212,216,219,221,224,224,226,224,219,212,204,194,185,173,164,151,142,
131,125,118,116,112,111,111,111,115,118,125,129,136,141,150,155,163,166,171,173,174,174,176,176,
175,173,168,163,153,148,139,132,122,115,107,103, 98, 97, 96, 96, 97, 99,102,107,112,118,124,131,
137,144,151,157,161,166,168,172,173,178,181,182,182,181,175,172,165,160,151,144,134,128,121,117,
113,111,108,107,106,108,111,115,120,124,132,138,148,154,163,169,174,179,182,186,189,192,191,190,
184,179,171,163,152,141,128,116,103, 94, 85, 79, 73, 67, 65, 63, 65, 66, 72, 75, 81, 87, 93,100,
106,111,115,116,117,118,119,121,121,121,116,115,109,107, 99, 94, 84, 77, 67, 61, 53, 48, 44, 38,
 35, 32, 30, 30, 31, 35, 38, 43, 50, 56, 65, 72, 80, 85, 91, 94,101,105,110,113,116,117,117,116,
113,111,104,100, 92, 85, 79, 73, 68, 64, 59, 58, 56, 56, 59, 61, 65, 70, 75, 82, 91, 98,108,115,
123,129,136,142,148,155,159,164,166,167,168,168,167,164,160,155,152,148,147,145,144,143,142,143,
144,146,149,149,153,156,160,164,169,173,177,178,181,182,186,188,191,191,192,193,191,192,188,186,
180,174,165,160,151,147,139,135,129,127,123,123,123,124,126,127,133,136,144,149,157,161,167,171,
177,181,186,188,190,189,188,186,183,179,169,162,151,140,130,121,113,105, 99, 94, 89, 88, 88, 89,
 91, 94, 99,102,111,116,124,127,133,136,139,143,146,149,149,150,151,152,152,153,150,149,144,141,
134,131,126,123,119,118,117,115,118,120,123,125,129,132,139,143,151,155,162,164,169,171,176,177,
179,178,178,176,175,173,171,166,159,152,142,134,123,115,105, 95, 88, 79, 75, 70, 69, 66, 68, 68,
 74, 81, 89, 98,107,114,122,127,134,139,141,145,144,145,143,142,140,136,132,126,119,112,104, 97,
 87, 80, 70, 64, 56, 52, 46, 42, 41, 37, 38, 39, 41, 46, 50, 55, 61, 65, 72, 78, 83, 89, 92, 96,
 99,100,103,103,105,103,102, 99, 96, 92, 86, 82, 77, 71, 67, 63, 62, 59, 60, 59, 61, 62, 68, 73,
 82, 87, 97,103,113,119,130,135,144,147,154,156,161,162,165,164,163,160,154,150,142,137,128,122,
113,108,103, 99, 99, 96, 98, 97,103,106,115,122,131,138,148,157,168,176,184,190,195,200,203,208,
209,212,212,212,208,207,202,199,193,186,179,171,165,158,154,149,143,139,137,136,137,137,140,143,
146,151,156,161,166,171,174,178,180,183,184,185,186,184,181,177,171,165,157,149,137,128,117,109,
101, 93, 87, 83, 79, 79, 80, 84, 91, 97,105,115,125,135,147,156,166,172,180,184,189,192,195,196,
196,193,190,185,179,171,162,152,142,133,123,116,108,102, 96, 92, 89, 89, 90, 93, 96,101,108,114,
123,129,138,143,151,156,161,167,171,177,179,182,183,183,182,180,177,173,165,161,153,147,140,130,
123,114,109,103,100, 96, 97, 96, 99,100,106,111,117,123,128,133,137,141,144,146,146,145,141,138,
133,128,118,111, 98, 89, 76, 68, 56, 49, 40, 33, 26, 22, 19, 18, 18, 21, 24, 30, 36, 44, 52, 62,
 70, 79, 86, 94,101,109,115,121,125,128,130,131,130,127,123,117,110,102, 95, 87, 78, 71, 62, 55,
 49, 44, 40, 39, 38, 39, 42, 46, 52, 57, 66, 71, 79, 86, 93, 99,108,113,120,126,131,135,139,141,
142,141,137,135,130,128,124,119,116,111,110,107,109,108,113,115,122,128,137,145,157,164,175,181,
189,197,202,208,210,214,214,215,213,213,208,205,198,191,183,176,168,161,151,145,136,130,124,121,
118,116,115,116,118,122,130,134,142,148,153,161,166,173,178,184,187,193,195,200,201,202,200,197,
193,188,182,175,167,158,149,139,130,120,114,106,101, 97, 93, 94, 96, 98,105,109,114,120,125,132,
137,142,145,150,152,156,157,157,156,153,150,145,140,135,129,122,116,110,103, 99, 95, 93, 91, 92,
 93, 97,103,108,118,124,134,140,151,159,167,173,178,184,186,190,191,193,191,191,186,182,176,171,
162,156,147,139,129,122,114,106, 99, 93, 87, 83, 80, 80, 81, 83, 87, 91, 97,104,110,117,123,130,
135,141,146,151,155,156,157,155,151,148,141,137,129,121,113,104, 97, 89, 84, 76, 72, 67, 66, 63,
 66, 67, 71, 72, 78, 80, 86, 88, 92, 94, 97,100,100,103,103,105,104,104,100, 98, 93, 90, 84, 79,
 71, 66, 59, 55, 51, 46, 44, 41, 40, 40, 44, 47, 54, 60, 67, 75, 82, 91, 99,105,114,119,127,132,
139,144,150,153,155,156,155,155,152,147,142,134,128,120,112,105, 97, 90, 84, 78, 76, 74, 77, 79,
 84, 90, 98,106,116,123,134,141,151,159,166,174,180,186,190,194,194,197,195,196,192,188,183,179,
173,170,165,160,156,152,151,149,151,153,156,161,166,172,178,183,189,192,197,198,201,202,204,204,
204,202,199,196,192,188,181,176,166,160,150,142,132,124,113,105, 96, 89, 83, 79, 78, 78, 80, 84,
 88, 95,104,110,120,127,137,145,155,163,171,178,183,188,190,192,192,190,186,181,174,166,159,149,
140,130,122,113,106, 99, 94, 91, 89, 89, 90, 94, 98,104,110,114,121,125,131,137,141,147,149,153,
154,157,155,156,153,149,145,141,137,132,127,121,117,112,108,104,102,100,101,101,105,107,112,117,
123,126,133,137,145,149,157,162,168,171,175,176,178,178,173,170,162,156,146,138,125,115,102, 91,
 78, 68, 56, 48, 40, 36, 31, 30, 30, 33, 36, 41, 45, 50, 56, 63, 71, 78, 85, 91, 97,103,108,112,
115,117,117,117,115,113,108,105,100, 93, 88, 81, 75, 70, 65, 62, 59, 59, 59, 61, 64, 68, 71, 75,
 78, 82, 86, 89, 95, 97,102,103,107,108,110,111,109,109,106,105,101, 96, 93, 88, 84, 78, 74, 69,
 67, 63, 63, 61, 65, 67, 75, 82, 90,100,110,121,132,143,157,167,180,189,201,209,218,223,228,231,
230,231,226,223,217,210,202,192,182,172,163,153,145,137,132,127,127,125,129,130,134,138,143,148,
155,160,167,171,177,181,184,188,189,192,192,194,191,192,189,186,184,180,176,172,166,162,156,153,
147,145,141,141,141,143,144,147,149,153,156,160,163,167,169,173,175,178,179,181,181,179,177,172,
168,163,154,147,137,129,118,110,101, 91, 84, 77, 70, 68, 66, 68, 70, 74, 79, 86, 95,102,113,122,
133,143,153,161,172,179,186,192,194,198,197,198,196,192,187,180,173,165,158,150,140,133,125,119,
114,111,107,106,105,104,104,105,106,108,109,112,115,117,121,124,127,131,132,134,136,136,136,134,
132,129,123,117,111,104, 97, 88, 82, 75, 71, 67, 66, 65, 65, 68, 72, 75, 82, 87, 94,100,107,111,
119,123,129,133,136,137,138,138,136,132,128,121,113,104, 94, 84, 71, 61, 48, 37, 27, 18, 12,  6,
  5,  3,  6,  8, 13, 18, 26, 33, 43, 51, 60, 70, 79, 90, 98,108,115,121,128,132,137,140,141,141,
140,138,135,130,124,119,111,106,100, 95, 91, 89, 86, 86, 86, 87, 89, 93, 97,102,107,112,119,124,
132,138,143,149,153,158,161,163,164,163,163,160,155,152,145,140,133,128,122,116,114,112,111,113,
116,121,127,136,144,154,164,174,184,195,205,215,222,230,234,239,240,242,239,238,232,229,222,214,
206,196,186,174,162,151,140,131,122,115,110,105,103,101,101,102,102,106,108,113,117,124,129,136,
141,148,153,160,165,169,172,174,176,177,174,174,168,165,158,153,147,141,137,133,128,126,124,122,
124,125,126,129,132,136,140,146,151,154,161,164,169,171,174,174,174,172,169,164,159,153,144,137,
126,117,106, 99, 92, 85, 82, 78, 78, 78, 80, 84, 89, 92,100,105,114,120,129,135,145,151,160,166,
173,179,184,187,190,190,191,189,186,182,173,166,155,146,135,123,113,102, 94, 85, 77, 73, 67, 64,
 61, 60, 59, 61, 62, 65, 67, 71, 74, 80, 83, 88, 91, 96, 97,101,101,104,104,103,101, 97, 92, 86,
 81, 74, 69, 64, 58, 56, 53, 53, 53, 55, 57, 62, 67, 71, 78, 83, 91, 97,102,109,115,118,123,125,
128,129,127,127,124,120,116,109,103, 94, 86, 77, 70, 60, 54, 46, 42, 36, 35, 32, 34, 34, 39, 41,
 49, 53, 63, 70, 80, 89,101,111,124,134,146,156,167,175,184,190,197,202,204,204,204,201,198,192,
187,180,174,167,163,157,154,150,147,146,144,144,144,147,150,152,158,161,167,170,175,178,181,183,
183,185,184,184,182,179,175,170,165,159,154,148,142,139,137,134,134,133,136,137,142,145,150,153,
159,164,168,174,178,184,187,192,194,196,196,198,196,197,193,190,184,179,170,163,152,143,131,122,
112,103, 96, 89, 82, 78, 74, 73, 71, 72, 74, 75, 80, 83, 90, 96,105,113,121,130,137,146,154,160,
168,172,177,178,179,178,176,172,167,163,156,152,147,144,141,140,138,139,139,141,143,145,148,149,
152,153,157,157,160,159,161,160,158,158,155,154,150,148,142,139,131,126,117,111,102, 96, 88, 83,
 79, 74, 72, 71, 70, 72, 74, 76, 82, 86, 93, 98,106,112,120,127,133,138,144,148,152,155,155,158,
156,156,150,147,140,131,123,112,102, 91, 81, 71, 61, 53, 45, 40, 35, 32, 29, 28, 27, 28, 30, 34,
 38, 45, 49, 56, 62, 69, 74, 80, 84, 89, 93, 96, 99,100,100, 99, 98, 95, 93, 90, 88, 86, 84, 84,
 83, 85, 86, 89, 93, 93, 98, 99,105,108,112,118,123,126,130,134,136,140,142,143,144,146,146,144,
143,140,137,132,127,121,115,110,104,100, 97, 93, 91, 90, 90, 91, 93, 96,101,105,113,120,130,140,
149,161,171,182,192,201,209,215,222,226,230,232,230,229,223,220,212,204,197,188,181,174,167,162,
157,154,151,147,146,143,144,142,144,143,145,145,147,148,150,151,150,152,151,151,151,151,150,147,
145,142,137,134,128,125,120,118,116,114,115,115,118,119,123,125,130,133,137,142,145,151,154,160,
163,168,172,174,178,179,182,182,183,181,179,175,168,161,153,143,133,123,113,105, 96, 91, 85, 82,
 79, 79, 79, 82, 84, 89, 93,100,107,114,120,128,135,142,148,153,159,163,168,171,175,177,177,177,
175,171,168,162,159,152,149,143,140,135,132,130,127,126,125,122,122,120,121,121,121,122,122,121,
121,119,119,117,115,115,111,110,106,103, 98, 93, 87, 81, 75, 68, 62, 57, 52, 50, 47, 46, 45, 47,
 48, 50, 53, 56, 63, 68, 76, 82, 91, 98,106,113,120,126,131,137,141,144,145,144,143,139,134,127,
120,112,101, 93, 83, 76, 68, 62, 56, 52, 48, 46, 45, 44, 45, 46, 49, 51, 56, 59, 65, 70, 75, 81,
 85, 93, 97,104,108,114,117,123,125,129,129,131,132,132,134,134,134,136,137,140,141,144,145,147,
149,151,153,157,159,164,166,171,173,177,179,183,185,186,189,190,188,189,186,183,179,172,166,158,
149,142,133,127,121,117,114,112,110,112,113,114,119,123,130,135,144,151,158,166,172,180,187,192,
198,201,205,207,209,209,208,206,200,196,189,181,174,166,157,151,145,138,134,128,126,123,119,118,
116,116,115,116,116,117,118,118,120,120,123,124,127,129,132,134,137,138,140,139,139,136,135,131,
129,125,124,122,121,121,121,123,124,127,129,134,139,145,151,157,162,169,173,179,182,186,187,190,
189,190,187,186,181,175,169,162,152,142,133,123,115,106,100, 93, 87, 83, 80, 78, 77, 75, 78, 79,
 84, 87, 92, 97,103,109,115,120,126,131,136,142,145,150,151,154,152,152,148,146,141,135,130,124,
119,113,108,104, 98, 94, 89, 86, 81, 80, 77, 76, 73, 73, 71, 72, 71, 73, 74, 74, 76, 77, 79, 80,
 82, 82, 83, 83, 81, 77, 75, 70, 67, 62, 58, 54, 52, 49, 50, 49, 52, 52, 56, 60, 64, 70, 76, 83,
 89, 96,102,109,115,121,127,132,136,141,142,146,145,147,144,142,136,133,126,119,114,107,103, 97,
 95, 92, 89, 87, 87, 85, 88, 87, 91, 92, 97,100,106,111,115,122,127,134,140,148,153,162,167,175,
180,186,189,191,191,192,190,187,185,181,180,177,174,173,170,169,168,168,168,170,172,174,177,179,
181,184,185,188,188,190,189,191,189,188,187,184,180,175,169,162,155,147,136,129,121,114,108,103,
 99, 97, 96, 95, 98, 99,105,109,116,121,130,136,143,149,156,162,166,172,175,181,183,187,187,190,
189,188,186,182,175,170,163,157,150,144,136,130,123,118,113,108,105,102,101,100,102,103,105,109,
113,118,122,127,132,136,142,146,150,153,155,156,156,155,151,150,144,142,138,135,131,129,127,124,
124,122,124,125,127,130,133,136,140,144,147,151,154,157,159,162,163,164,162,162,158,157,150,146,
138,129,120,111,100, 92, 82, 74, 66, 60, 54, 49, 47, 43, 43, 43, 43, 45, 48, 52, 56, 62, 66, 72,
 77, 85, 90, 98,104,110,116,121,125,129,130,131,129,127,123,117,113,106,101, 94, 89, 84, 79, 73,
 71, 67, 66, 63, 64, 63, 65, 64, 67, 69, 70, 73, 77, 80, 82, 86, 89, 91, 94, 95, 96, 96, 93, 92,
 87, 85, 80, 78, 75, 74, 72, 73, 73, 75, 78, 83, 88, 94,100,108,116,124,133,140,149,155,163,169,
176,181,187,191,196,199,202,204,203,201,198,194,188,181,173,167,158,151,143,137,130,124,120,116,
113,113,114,114,118,119,125,129,135,142,148,156,162,170,177,183,190,196,199,202,204,204,203,201,
196,192,188,182,176,170,164,160,154,151,147,144,144,142,144,144,147,147,150,151,154,155,156,158,
157,158,157,158,156,155,152,148,144,139,134,129,124,118,114,110,105,102, 98, 97, 96, 96, 96, 99,
101,105,109,115,121,126,134,141,150,156,165,172,181,187,193,197,202,203,204,202,200,195,190,183,
176,167,159,149,142,133,124,117,111,104,101, 96, 94, 91, 92, 92, 93, 95, 98,101,105,108,113,117,
122,127,131,134,137,137,138,137,135,132,130,125,122,118,114,109,107,103,100, 99, 98, 99, 98,100,
100,103,103,106,107,110,110,113,113,116,116,118,118,119,118,116,112,110,104,101, 93, 88, 81, 73,
 66, 58, 53, 45, 41, 35, 33, 30, 31, 31, 32, 35, 38, 43, 48, 55, 61, 69, 76, 85, 92,102,111,118,
127,134,138,143,144,146,144,143,140,136,130,125,118,113,105,100, 94, 91, 88, 85, 85, 83, 85, 84,
 88, 90, 93, 97,100,104,108,113,117,122,127,132,136,140,142,145,145,147,147,147,146,146,144,144,
141,140,138,138,137,138,138,139,142,143,148,150,156,159,165,169,176,181,185,192,197,201,206,209,
210,212,210,209,204,201,195,188,181,172,164,153,145,135,127,119,113,107,101, 99, 96, 96, 95, 98,
100,105,109,115,122,128,136,143,151,156,164,169,172,177,178,180,180,179,177,176,172,169,164,161,
156,154,150,146,144,141,139,136,135,133,133,132,133,132,133,133,136,138,141,142,146,149,152,154,
154,155,152,152,148,146,142,138,133,129,124,119,116,111,109,106,106,105,107,107,111,114,117,122,
127,131,138,143,151,156,164,169,175,180,183,186,185,185,181,179,172,167,158,151,141,132,121,112,
102, 95, 86, 81, 74, 70, 66, 64, 63, 62, 63, 64, 64, 68, 71, 74, 79, 82, 88, 92, 97,102,104,108,
109,112,112,112,110,109,106,104,100, 96, 93, 89, 87, 84, 83, 81, 79, 80, 80, 81, 81, 84, 84, 87,
 90, 92, 97, 99,104,106,111,114,117,117,119,118,116,115,110,107,102, 94, 88, 80, 74, 67, 62, 56,
 52, 48, 47, 46, 48, 49, 54, 58, 65, 70, 79, 86, 97,105,116,125,136,145,154,162,169,174,179,182,
184,186,185,185,182,179,176,170,166,161,155,151,145,141,137,132,130,127,125,124,123,123,124,126,
127,131,136,139,144,147,153,156,160,163,166,167,170,171,170,169,167,165,162,160,156,154,151,149,
146,146,143,144,143,144,145,148,150,154,157,162,166,172,176,180,185,187,190,190,190,188,184,181,
174,169,162,154,146,138,130,123,114,109,102, 99, 94, 93, 90, 90, 89, 91, 92, 96, 98,103,108,115,
122,128,137,145,152,160,165,172,177,182,185,188,188,187,186,184,180,177,172,168,163,158,154,149,
146,142,137,135,132,129,128,125,125,125,126,126,128,129,133,135,135,138,139,139,140,138,137,135,
130,128,122,119,113,109,103,100, 96, 93, 91, 88, 89, 88, 90, 92, 94, 97,102,105,111,116,120,126,
132,136,141,144,147,149,149,151,148,146,140,136,130,122,115,105, 97, 88, 81, 72, 66, 60, 53, 49,
 45, 41, 40, 38, 38, 39, 40, 43, 45, 51, 55, 62, 69, 74, 81, 87, 94, 99,106,109,114,115,118,118,
119,117,116,112,110,106,104,100, 98, 95, 94, 91, 91, 90, 92, 91, 94, 96, 98,103,106,112,117,120,
125,127,132,134,137,137,138,136,135,133,129,127,122,119,114,112,108,106,104,103,101,102,101,104,
105,109,112,117,121,128,135,141,150,156,165,172,180,187,192,199,202,206,208,208,208,206,204,200,
195,191,184,178,171,164,159,151,145,138,134,128,125,120,118,116,114,114,116,118,122,126,129,135,
138,144,147,150,154,155,157,157,157,155,153,151,148,145,142,138,137,134,134,132,133,133,134,136,
137,139,141,144,147,151,155,158,160,164,167,169,172,173,174,174,173,170,168,165,160,155,150,143,
138,131,126,120,116,111,107,104,101,100, 99, 99, 99,101,103,107,110,116,121,128,133,141,147,155,
160,167,171,176,178,181,182,182,182,178,176,171,168,163,158,151,145,139,133,127,123,117,114,109,
107,105,104,103,104,104,104,106,108,109,111,112,114,114,115,115,114,111,110,107,103,100, 95, 92,
 88, 84, 79, 78, 74, 74, 72, 73, 72, 73, 73, 77, 79, 84, 87, 92, 96,102,106,112,117,122,126,128,
131,132,134,133,133,131,126,123,118,113,106,100, 92, 86, 78, 71, 66, 59, 55, 50, 46, 43, 43, 42,
 45, 46, 51, 55, 62, 69, 76, 85, 93,102,109,117,124,130,134,139,141,144,145,145,147,146,146,143,
143,141,141,140,138,138,136,137,137,137,136,138,139,140,143,144,148,150,153,154,157,159,160,161,
161,160,159,157,155,151,149,145,142,138,135,131,129,126,126,123,122,122,121,123,123,126,127,131,
135,139,145,149,156,163,169,175,180,185,190,193,197,198,196,196,192,190,185,178,172,164,157,149,
143,135,129,123,116,113,107,105,102,102,100,101,103,104,108,110,115,118,121,126,130,134,137,141,
142,145,147,147,149,148,148,147,147,145,145,144,144,142,143,142,143,144,143,145,146,146,149,151,
152,155,158,159,161,162,164,164,166,164,164,161,160,156,154,149,145,139,135,128,123,116,111,106,
100, 97, 92, 88, 87, 86, 84, 85, 86, 89, 92, 97,101,107,113,119,125,131,136,143,146,151,153,156,
157,158,156,155,152,149,144,140,133,129,121,117,109,105, 99, 93, 89, 85, 82, 78, 77, 75, 76, 76,
 76, 78, 78, 80, 83, 85, 86, 88, 88, 90, 91, 92, 93, 92, 94, 92, 93, 91, 92, 89, 90, 87, 87, 86,
 86, 85, 86, 85, 86, 87, 87, 91, 94, 97,102,106,112,117,124,128,135,138,142,144,147,147,149,148,
145,143,138,134,130,123,120,114,108,105,100, 96, 93, 90, 89, 87, 87, 88, 89, 93, 96,100,105,110,
118,124,132,138,145,150,157,162,165,170,172,175,176,177,176,176,175,174,172,170,167,166,163,162,
159,157,155,152,150,148,146,145,143,144,143,143,144,145,145,146,146,148,148,147,149,147,146,145,
143,141,137,135,131,127,124,120,117,114,113,112,109,110,110,111,114,117,119,125,128,135,140,148,
154,158,165,168,173,175,179,181,181,181,179,178,175,171,166,161,155,150,144,140,135,130,124,121,
117,114,111,109,108,108,107,109,110,114,115,120,122,126,128,132,134,137,141,142,145,145,148,147,
149,149,148,148,148,145,146,144,144,141,140,138,137,136,135,134,134,133,133,134,135,135,137,137,
138,138,136,137,135,135,133,129,128,124,120,117,112,107,101, 97, 91, 88, 82, 80, 76, 72, 70, 68,
 68, 68, 67, 70, 71, 76, 78, 84, 89, 94, 99,105,108,113,116,121,124,127,128,130,131,131,130,129,
127,125,122,120,118,115,111,107,103, 99, 95, 91, 87, 84, 79, 77, 74, 74, 73, 73, 73, 74, 76, 77,
 81, 84, 86, 90, 92, 95, 97,100,103,103,106,105,107,107,109,110,111,112,114,115,117,119,120,124,
125,129,131,136,139,145,149,152,157,160,163,166,168,171,171,171,170,170,168,166,163,157,154,149,
144,140,135,132,127,125,122,119,118,118,117,117,116,118,119,123,126,129,133,137,139,144,147,153,
156,160,164,167,171,173,177,177,179,177,179,177,177,174,173,169,167,163,161,158,154,149,146,143,
140,139,136,137,135,135,136,135,137,136,136,137,136,137,136,136,135,134,133,129,128,125,124,122,
120,119,118,118,118,117,119,119,121,123,124,127,132,136,141,146,151,155,161,165,169,173,174,177,
178,178,179,178,175,173,169,166,161,157,152,147,142,136,132,127,122,118,114,109,105,101, 99, 98,
 98, 97, 99, 99,102,103,107,108,112,114,117,120,124,125,129,130,132,132,134,133,134,133,134,132,
132,130,128,127,124,124,120,119,117,115,114,113,113,114,112,114,113,114,113,113,111,111,109,109,
106,105,101, 98, 94, 91, 86, 83, 80, 75, 74, 70, 69, 68, 67, 67, 67, 65, 66, 67, 69, 70, 73, 75,
 79, 82, 87, 91, 96,100,105,109,114,118,124,126,131,132,136,136,136,136,135,134,131,129,125,123,
119,117,112,110,105,103,100, 97, 96, 95, 95, 95, 96, 97,100,102,105,107,110,115,118,122,125,129,
132,134,136,138,139,140,141,140,141,141,140,142,143,143,144,145,145,148,148,152,153,157,159,164,
166,170,172,174,175,176,176,177,177,177,175,174,171,169,166,163,160,154,152,146,143,139,135,132,
127,124,120,117,115,113,112,111,111,113,115,118,121,125,129,133,138,142,148,151,157,159,164,165,
169,169,172,170,172,169,169,166,166,162,161,157,154,151,147,145,140,139,136,134,134,133,133,135,
133,135,134,136,137,137,138,138,137,137,136,136,135,133,131,129,127,126,125,123,124,123,121,121,
120,121,120,122,121,124,125,129,131,136,138,142,144,148,150,153,155,157,158,157,158,156,157,153,
152,148,144,139,135,131,126,121,116,112,107,101, 97, 92, 88, 84, 81, 79, 78, 78, 79, 81, 81, 84,
 85, 89, 91, 95, 98,101,104,106,110,111,113,113,114,114,113,113,112,112,112,110,111,110,111,110,
109,110,109,108,109,108,109,110,109,110,108,109,107,108,106,106,105,103,103,100,100, 98, 97, 93,
 92, 88, 88, 86, 84, 83, 81, 80, 79, 80, 79, 80, 81, 81, 84, 86, 90, 94, 98,103,108,114,118,125,
130,136,140,146,150,155,160,161,165,165,165,165,164,162,160,157,153,150,146,141,138,132,129,125,
121,119,116,117,116,118,117,120,122,124,127,129,131,134,135,138,140,143,143,145,146,147,147,149,
149,150,149,150,150,151,152,151,152,151,152,151,152,154,153,156,156,157,159,160,161,162,164,165,
164,166,165,166,165,164,162,160,157,154,151,147,144,140,136,132,129,124,121,117,113,111,108,106,
106,106,107,109,110,115,119,123,128,133,139,144,148,155,159,164,168,170,173,174,176,175,176,175,
173,171,168,165,163,159,156,151,147,142,139,135,132,131,127,126,124,124,123,123,122,122,121,121,
122,121,122,121,121,119,120,117,118,117,116,115,115,113,115,113,114,113,112,111,111,112,111,114,
114,117,117,122,123,127,128,132,134,136,138,139,142,141,143,141,141,139,136,133,128,124,118,114,
108,103, 97, 93, 87, 83, 78, 73, 72, 69, 68, 68, 66, 68, 69, 71, 74, 76, 79, 82, 85, 88, 92, 94,
 98,101,103,106,109,110,113,114,115,116,117,118,118,119,118,118,117,115,116,114,114,113,113,113,
112,114,113,113,114,114,114,114,115,116,117,117,117,117,118,117,118,116,116,114,115,112,113,110,
111,109,108,107,106,105,105,105,107,108,111,115,118,124,128,134,138,145,151,156,161,166,170,172,
176,177,180,178,180,177,176,172,171,167,165,159,157,150,147,143,137,135,130,127,124,121,120,120,
117,119,118,118,120,121,123,124,127,129,131,132,136,137,140,140,143,143,144,145,146,147,148,148,
149,148,149,149,147,148,147,146,147,147,148,149,150,151,152,154,155,156,157,157,159,159,159,159,
158,156,155,151,149,145,143,139,137,131,129,124,122,118,114,113,109,109,106,108,107,110,111,115,
116,121,124,130,133,139,142,147,151,154,158,160,163,163,165,164,166,163,164,160,160,156,154,149,
147,143,139,135,131,126,124,120,118,116,114,112,110,110,108,109,107,108,107,109,109,110,111,110,
111,110,111,111,111,108,109,106,105,103,102, 99, 99, 97, 97, 97, 96, 99, 99,103,105,108,112,114,
119,122,125,127,130,132,134,135,135,135,133,132,130,126,125,120,118,112,109,104,100, 94, 91, 85,
 82, 77, 75, 72, 71, 70, 69, 70, 70, 73, 74, 79, 81, 85, 88, 93, 96,102,105,111,114,119,123,125,
130,133,136,139,141,143,144,145,145,145,143,142,139,137,136,133,132,130,129,127,127,127,126,128,
127,129,128,130,130,132,132,133,132,133,133,131,133,130,131,129,129,126,127,125,124,123,121,122,
120,122,121,124,125,127,129,134,136,141,143,148,150,156,158,163,165,169,171,171,174,173,174,173,
172,169,169,164,163,158,157,151,148,143,138,135,130,126,122,119,116,114,111,112,111,110,111,112,
114,116,119,121,125,126,131,132,137,138,143,144,148,148,152,152,154,155,155,154,155,154,152,153,
151,151,149,149,148,149,148,148,148,147,148,148,148,148,148,148,147,146,144,143,141,140,137,134,
132,127,126,121,119,114,112,109,106,104,101,101,100, 99, 99,101,101,105,105,110,111,116,118,123,
127,130,134,137,141,143,148,150,151,153,154,154,154,153,152,149,145,141,135,131,126,121,116,110,
106,101, 98, 95, 93, 91, 91, 89, 90, 90, 91, 92, 94, 95, 97, 98, 99,101,102,104,104,105,105,107,
107,108,108,106,107,106,105,106,104,105,104,106,105,108,108,112,113,115,118,121,122,126,127,130,
130,132,132,133,132,132,131,130,129,127,126,123,121,119,116,114,110,108,104,102, 99, 96, 95, 93,
 92, 92, 91, 93, 93, 96, 98,101,105,110,113,118,122,128,132,137,141,146,149,153,156,158,161,162,
162,162,162,161,159,158,156,152,151,148,146,143,142,141,137,138,135,136,133,135,133,134,132,133,
133,132,133,132,133,132,132,131,131,129,130,129,127,127,126,126,126,124,125,124,125,126,127,130,
130,133,134,138,139,144,146,149,152,154,158,159,162,163,166,166,168,168,168,167,166,165,163,159,
157,154,149,146,142,136,133,128,125,121,118,116,113,112,111,111,111,113,112,115,115,119,120,123,
127,129,131,135,137,140,143,144,146,146,147,146,147,146,145,144,142,142,139,139,137,137,135,134,
134,133,133,133,133,133,132,130,130,129,129,127,127,125,126,124,125,122,123,120,121,118,117,114,
113,109,107,104,102,100, 96, 96, 92, 93, 92, 92, 93, 96, 97, 99,102,105,110,113,116,121,125,128,
132,134,137,140,142,142,144,143,142,141,138,136,132,129,124,121,116,112,107,103, 99, 96, 94, 91,
 90, 89, 88, 89, 88, 90, 90, 91, 94, 94, 96, 97,100,100,104,104,108,109,110,113,114,116,118,117,
119,120,120,122,121,123,122,124,124,124,125,126,127,127,129,130,131,133,133,133,135,134,137,137,
138,138,139,139,139,138,138,135,135,131,130,126,125,121,120,117,115,113,111,110,109,109,110,111,
113,115,118,120,124,128,131,135,138,143,146,151,154,157,161,162,165,165,166,165,166,163,163,160,
159,156,154,152,148,147,143,142,139,137,136,134,133,131,131,130,129,129,129,128,130,129,131,130,
132,131,134,133,136,135,137,135,137,136,137,137,135,136,135,136,134,136,136,136,137,140,139,142,
142,146,147,148,150,151,154,154,157,157,158,159,159,159,159,158,156,154,150,148,144,139,136,131,
127,122,118,114,111,108,106,104,104,104,102,104,104,106,107,108,110,112,114,117,120,122,125,127,
130,133,135,138,139,141,142,143,143,144,142,142,138,138,135,132,130,127,125,122,120,118,116,115,
112,112,109,109,109,107,108,108,108,107,108,107,109,107,109,107,108,106,105,105,103,102, 99, 99,
 96, 96, 94, 93, 93, 93, 93, 94, 95, 97,100,101,104,107,110,113,116,120,122,125,128,130,133,133,
136,135,135,135,134,132,131,129,127,125,121,119,115,113,110,108,105,103,102,101, 99, 99, 97, 98,
 97, 98, 99,101,103,104,107,109,113,115,119,121,125,125,130,130,134,136,137,139,139,141,141,142,
142,141,142,141,142,142,143,144,143,144,143,145,145,144,146,145,147,146,148,147,149,147,148,146,
146,144,142,141,138,136,133,132,128,127,124,124,121,120,119,119,120,120,122,124,124,125,128,130,
133,135,139,140,145,146,151,153,156,158,160,162,163,165,165,166,165,165,163,163,160,159,155,154,
151,148,146,143,141,139,137,134,132,131,129,127,127,125,126,124,126,125,127,127,128,129,130,131,
133,132,134,133,134,134,132,133,131,132,129,131,130,129,130,130,131,131,133,134,135,136,136,138,
138,139,139,139,141,140,142,139,141,138,139,136,136,133,133,131,129,127,123,122,118,116,112,111,
108,106,104,103,100,100, 98, 99, 98, 99, 99,101,101,104,106,107,112,113,117,119,122,124,127,129,
130,132,133,134,134,135,132,131,130,128,126,124,122,120,117,115,112,110,109,106,106,104,104,102,
104,103,103,103,104,102,104,103,104,103,104,103,102,102,102,101,100, 99, 99,100, 99,100,100,102,
102,105,105,109,111,112,115,116,119,120,124,125,129,129,133,133,137,138,140,139,141,140,141,140,
139,138,136,136,132,131,127,127,123,123,120,119,117,116,113,114,113,114,112,114,114,115,117,119,
122,123,126,129,132,135,138,141,143,145,146,148,148,150,148,150,149,148,148,147,148,147,147,147,
147,148,146,148,146,147,147,146,147,145,147,145,146,145,145,145,144,144,142,142,140,139,138,136,
135,134,131,131,128,128,126,126,125,125,125,125,126,127,128,130,130,133,133,136,138,140,141,144,
146,148,150,152,154,156,156,158,158,158,157,157,155,154,150,149,144,143,138,137,132,130,126,125,
122,121,118,117,115,116,115,114,116,114,117,116,118,117,120,119,121,120,122,122,124,124,124,126,
125,126,127,126,127,127,128,129,127,129,128,130,129,131,130,130,131,131,131,131,130,131,131,131,
131,129,130,129,128,126,126,124,123,121,120,117,115,112,111,110,106,105,102,101, 99, 97, 96, 95,
 94, 95, 93, 95, 94, 97, 97,100,101,104,107,110,113,115,118,120,123,123,126,126,128,128,127,128,
127,126,125,123,122,120,119,119,116,116,114,114,112,112,110,110,108,109,108,108,107,108,108,108,
109,109,110,110,111,112,113,112,113,113,114,115,115,116,117,117,119,119,121,122,123,126,126,129,
130,132,133,135,136,138,141,141,145,146,148,149,151,151,154,153,155,154,154,152,151,150,147,146,
143,140,137,135,132,131,128,126,125,123,123,123,122,123,123,122,125,124,128,128,132,133,135,138,
140,143,145,147,148,149,150,152,152,152,152,152,152,152,150,152,150,151,149,150,148,148,149,148,
148,146,147,145,146,144,145,144,144,141,142,140,141,140,140,139,139,137,137,136,134,134,131,130,
128,128,125,125,122,123,121,122,120,122,121,123,123,125,126,128,130,132,134,135,139,139,142,143,
144,145,145,144,145,144,142,141,139,137,136,133,131,129,127,125,123,120,119,117,116,114,113,112,
110,110,109,109,108,107,109,108,110,110,112,111,114,113,115,116,116,118,118,120,120,121,120,123,
123,124,124,125,123,125,123,124,124,123,123,122,122,121,120,120,120,120,121,120,120,120,120,120,
120,118,118,117,114,114,111,110,106,106,102,102, 99, 99, 96, 96, 94, 95, 93, 95, 94, 96, 97, 97,
100,100,104,104,108,108,113,115,118,119,123,123,127,128,129,130,130,132,131,132,130,130,130,129,
128,128,125,126,125,123,122,121,121,120,118,118,118,116,118,116,119,118,121,120,123,124,125,127,
128,129,131,132,132,133,134,135,134,136,134,136,135,135,135,136,136,137,136,138,138,140,141,141,
143,143,145,146,147,149,150,151,152,152,152,152,152,150,150,148,147,145,142,142,139,137,135,133,
131,130,128,128,125,126,126,126,125,126,126,128,129,129,132,133,136,137,139,141,142,145,146,148,
148,150,150,152,152,154,153,153,153,152,151,151,148,148,145,144,141,141,137,137,134,133,132,129,
130,128,128,128,128,127,128,126,127,126,125,125,124,124,123,122,122,120,120,119,119,119,119,120,
119,121,119,122,121,123,123,125,125,127,128,130,131,133,134,135,137,136,139,138,139,138,139,138,
135,136,133,133,130,130,127,125,124,123,120,119,117,115,113,112,110,109,108,107,105,104,103,104,
103,104,105,106,107,109,110,112,113,115,115,117,117,119,119,120,119,121,119,121,119,120,119,118,
118,117,117,116,116,115,115,114,115,114,113,114,113,113,113,114,114,114,113,113,112,112,111,111,
110,108,108,106,106,105,103,104,103,103,104,104,105,105,107,107,109,109,112,113,114,117,118,121,
123,125,129,129,134,134,138,139,141,143,144,145,145,147,146,147,146,145,145,144,142,141,139,138,
137,136,133,133,130,130,129,127,128,126,128,127,127,128,130,129,132,131,134,133,135,135,137,137,
139,139,140,140,140,141,141,142,140,142,142,142,143,143,144,145,145,147,147,148,149,149,151,150,
152,151,152,151,150,150,149,147,147,145,145,144,141,141,138,138,135,135,132,132,129,130,126,127,
124,124,122,122,122,122,122,122,122,124,125,126,128,130,132,133,135,136,137,138,138,140,139,141,
140,141,139,140,138,139,137,136,136,135,133,133,130,129,129,127,128,126,125,125,124,125,124,124,
123,123,122,122,122,120,120,118,118,118,117,116,116,116,116,115,116,116,117,117,118,119,120,121,
121,123,123,125,126,127,127,129,129,131,132,131,133,133,132,133,133,131,131,129,129,128,126,126,
123,122,120,117,116,113,112,109,108,106,104,103,102,100,100,100, 99,100,101,101,102,103,104,106,
106,107,110,110,113,113,115,116,117,117,118,118,117,119,118,119,118,120,119,120,119,120,120,121,
120,121,120,120,120,120,120,120,121,119,121,120,120,120,120,120,120,120,120,121,120,121,120,121,
121,120,121,121,121,121,122,123,122,124,123,125,124,126,127,128,131,131,134,134,138,138,142,142,
145,145,148,149,151,150,152,152,152,152,150,151,148,148,145,145,141,141,138,137,134,133,131,130,
128,129,128,127,129,127,130,130,130,132,132,133,135,134,136,136,138,137,139,139,140,140,141,142,
143,143,144,145,143,145,144,145,145,145,144,144,142,143,143,142,142,140,142,141,141,141,140,140,
140,140,138,139,137,137,134,134,132,131,128,128,124,125,121,122,120,118,118,116,116,115,115,115,
114,116,116,118,119,121,124,123,127,127,130,130,134,134,136,136,138,138,138,139,137,138,136,137,
134,135,132,133,132,130,130,128,127,126,124,124,122,122,120,120,119,118,117,117,116,116,116,115,
116,116,115,116,116,117,116,118,118,117,118,118,118,119,117,119,117,118,118,117,117,118,117,118,
117,118,118,119,119,120,120,121,121,122,123,121,123,122,123,121,121,120,120,119,116,116,114,112,
111,109,108,106,106,104,104,102,103,102,102,102,102,103,103,105,106,106,109,109,112,112,116,117,
118,121,122,124,127,127,130,132,132,135,134,137,136,138,137,139,138,139,137,138,136,137,135,136,
135,134,134,133,134,132,133,131,132,131,132,131,132,131,133,132,132,134,133,134,133,135,133,135,
133,135,133,135,133,135,133,135,135,134,137,136,140,139,143,143,146,146,149,150,151,152,152,154,
154,153,154,153,153,152,151,150,149,148,146,145,144,142,141,140,137,135,133,131,130,129,127,127,
125,125,124,124,124,125,126,125,127,127,129,129,131,131,132,132,134,135,134,136,134,136,134,136,
134,136,134,134,134,132,133,132,131,131,130,131,131,129,131,129,131,129,131,129,130,129,128,129,
127,128,127,125,124,124,121,121,118,119,117,116,116,115,115,115,113,114,114,115,115,117,118,118,
120,120,123,122,125,125,128,127,129,130,130,132,132,133,133,133,133,132,131,131,129,128,127,125,
124,121,120,117,116,114,112,111,109,109,108,106,107,104,106,104,106,106,106,106,107,107,109,109,
110,111,111,111,112,113,111,113,111,113,111,113,112,113,113,112,113,113,114,115,115,116,116,117,
117,118,118,119,120,118,120,120,120,120,120,121,121,120,120,119,120,120,118,119,119,118,118,118,
118,117,117,117,116,117,118,117,119,119,122,121,124,125,126,128,129,131,133,134,137,138,141,142,
144,145,147,148,148,150,150,152,151,152,150,151,148,148,146,145,142,142,141,138,139,137,138,136,
137,136,137,136,138,136,138,137,139,138,139,139,140,140,139,140,139,141,140,140,141,141,141,142,
140,142,140,142,141,142,142,142,143,141,143,142,144,143,145,143,144,145,145,146,145,146,144,145,
143,143,141,141,138,138,135,134,130,130,126,126,124,123,121,119,118,117,117,117,117,116,118,117,
120,121,122,123,125,126,129,129,130,133,132,134,133,135,133,135,133,134,132,133,130,131,129,129,
127,127,127,125,127,125,127,126,126,126,127,125,126,125,126,125,126,126,124,125,124,123,123,123,
120,121,118,119,116,117,115,114,113,112,112,111,111,111,110,110,110,111,112,111,114,114,116,116,
119,120,121,123,124,124,126,127,128,127,127,127,126,125,123,123,120,117,115,113,111,108,107,104,
103,101, 99, 99, 98, 98, 98, 98, 99,100,102,101,104,105,106,108,109,112,112,114,114,116,115,118,
117,119,118,120,118,120,120,119,120,119,120,120,120,121,122,122,125,124,127,126,130,129,131,133,
134,135,136,138,138,139,139,139,139,139,139,138,138,137,136,136,133,134,131,132,129,129,128,126,
126,125,126,125,128,127,130,131,133,134,138,138,143,145,147,150,151,154,154,157,157,159,158,159,
157,156,156,154,153,151,150,149,146,146,143,142,140,140,138,137,138,135,137,135,137,135,137,136,
137,138,138,140,139,140,139,141,139,141,139,140,137,138,135,136,133,133,131,131,129,129,128,128,
128,127,127,127,127,128,129,128,131,130,134,133,136,136,139,138,140,140,140,140,140,139,138,137,
135,133,130,129,126,123,121,118,117,115,114,112,112,110,112,110,113,111,114,115,116,118,120,123,
125,126,129,130,131,133,132,135,134,135,134,135,132,133,131,131,128,128,125,124,123,120,120,118,
117,116,116,113,115,112,114,112,114,113,115,115,116,116,117,117,118,118,118,118,117,117,116,115,
113,113,109,110,107,107,104,104,102,102,103,101,103,102,104,104,107,106,110,110,114,115,118,119,
121,122,124,124,125,126,124,126,124,123,122,122,120,119,117,116,113,113,111,110,110,108,108,108,
108,108,110,109,112,112,115,117,118,121,122,125,125,128,128,131,132,133,134,135,135,136,136,136,
137,136,137,136,136,135,136,135,134,134,135,133,134,134,134,134,135,136,137,138,139,141,142,144,
144,146,146,146,146,146,145,145,144,143,142,141,140,138,137,136,135,134,133,133,133,133,134,133,
135,135,136,137,138,140,142,144,145,147,148,150,150,151,152,152,152,154,151,152,149,150,146,146,
143,142,140,137,135,133,131,129,127,126,125,122,123,121,123,121,122,123,124,125,126,128,128,131,
131,133,132,135,134,136,134,136,134,135,132,133,130,130,129,127,127,125,125,123,125,123,124,124,
125,125,128,127,131,130,133,134,135,137,137,139,138,138,138,137,136,135,134,133,129,129,125,124,
121,119,117,116,113,112,110,110,109,108,109,108,110,110,111,112,113,115,118,119,121,123,125,126,
127,128,129,129,129,129,128,128,126,125,123,121,119,116,115,111,111,108,107,104,104,102,102,101,
102,101,103,102,105,106,107,109,109,112,113,113,114,116,114,116,113,115,112,114,112,110,110,109,
107,107,105,105,106,105,105,105,107,107,109,110,113,115,118,121,124,127,129,133,134,137,138,140,
140,142,141,141,141,140,139,138,136,136,133,133,130,129,128,125,125,123,122,121,121,119,121,119,
122,122,125,125,130,131,134,136,140,141,144,146,148,149,150,152,150,152,149,151,149,147,147,145,
144,142,142,139,139,136,138,136,136,136,137,137,138,139,141,140,143,143,145,147,146,149,147,149,
147,149,146,147,144,144,141,140,138,136,134,131,130,127,126,124,123,121,121,120,121,121,122,123,
124,125,128,128,132,132,136,138,139,142,142,145,143,146,144,145,144,143,142,140,138,137,133,132,
129,125,124,120,120,117,116,115,115,115,116,116,118,119,121,123,124,127,128,132,131,135,134,137,
135,137,136,136,134,135,132,131,130,128,126,125,123,122,121,120,120,119,120,118,120,118,121,120,
123,122,125,125,127,128,129,130,130,130,130,131,128,129,125,126,122,122,118,117,113,112,109,106,
103,101, 99, 97, 97, 96, 96, 96, 97, 97, 99,101,103,105,107,111,112,116,117,121,122,123,124,125,
125,125,124,124,123,121,120,118,117,114,113,109,109,107,106,104,105,102,105,103,107,106,110,111,
113,116,118,120,122,124,126,128,128,129,129,131,128,130,129,128,128,128,126,127,125,125,125,123,
124,122,124,123,125,123,127,126,130,129,133,135,138,140,141,145,145,149,150,151,152,153,152,152,
151,151,148,149,145,145,141,140,136,135,132,131,129,128,127,126,126,126,127,128,129,131,133,135,
138,140,143,145,147,149,151,152,152,153,153,153,153,152,151,151,149,147,145,143,141,138,137,135,
133,131,131,129,129,128,128,128,129,127,130,130,130,132,133,133,134,135,135,136,134,136,134,136,
134,133,132,132,128,128,125,125,122,121,120,117,118,115,117,116,117,118,119,121,124,124,129,130,
132,136,137,141,141,144,144,147,145,146,145,144,142,141,139,137,135,131,129,127,124,121,119,116,
116,113,114,111,113,112,113,114,115,116,118,120,121,122,124,125,126,128,127,129,127,129,127,129,
126,127,124,124,121,121,117,116,114,113,112,108,109,106,107,105,107,105,108,107,109,110,111,113,
113,116,116,117,117,118,117,118,115,117,114,115,111,112,108,108,106,103,102, 99, 99, 96, 97, 95,
 97, 96, 99, 98,101,102,106,108,113,114,119,121,125,128,131,133,134,137,135,138,136,138,137,136,
135,134,133,131,130,129,127,126,125,124,124,123,124,123,123,124,125,126,128,128,131,131,134,135,
137,138,139,140,141,142,143,144,142,144,143,143,142,141,140,138,138,136,136,133,135,132,134,133,
134,134,136,135,139,139,143,143,146,148,149,152,151,154,152,155,153,154,151,152,148,149,145,145,
140,139,135,134,130,129,126,124,123,122,122,120,121,121,122,123,124,126,127,130,132,132,135,136,
137,139,138,140,139,141,139,140,140,139,138,138,135,135,132,131,129,127,126,124,123,122,121,121,
120,120,121,121,123,123,124,126,127,129,129,132,131,133,132,134,132,134,133,133,132,132,129,128,
126,124,123,120,120,119,117,117,117,116,117,117,118,119,121,123,126,126,129,130,132,133,135,136,
135,137,135,137,134,135,132,133,129,129,125,124,120,119,116,114,111,110,109,106,106,103,103,102,
102,102,103,104,105,106,109,110,112,113,114,115,116,118,116,119,117,119,118,117,116,115,115,113,
112,110,110,107,107,104,105,102,104,102,105,104,105,106,109,109,113,114,117,118,121,123,124,126,
126,127,127,128,127,127,126,125,124,122,121,119,119,116,117,115,116,115,116,116,117,118,121,120,
125,126,128,131,134,136,139,141,143,146,146,149,148,151,151,151,151,152,150,150,148,147,145,144,
142,140,137,136,134,133,132,131,132,130,133,131,134,134,137,139,140,141,144,145,146,148,148,151,
149,152,150,152,150,152,149,150,147,146,143,142,140,139,137,135,135,132,134,131,134,132,134,133,
136,136,137,139,140,140,141,141,141,142,140,141,139,140,137,138,135,135,132,132,128,128,125,124,
121,120,119,118,117,116,117,115,117,116,119,118,122,123,124,126,127,130,130,133,133,136,136,138,
138,139,139,140,138,139,136,137,133,133,130,129,128,124,124,121,122,120,120,119,119,120,121,120,
123,123,125,125,127,127,128,128,129,130,128,130,127,129,127,126,125,124,123,121,120,118,118,116,
114,114,114,111,113,111,113,111,114,112,115,116,116,118,118,121,120,122,120,122,120,122,120,120,
119,118,116,115,113,112,110,107,106,103,102, 99, 99, 97, 97, 95, 96, 94, 96, 96, 97, 98,100,101,
105,106,109,111,113,116,117,119,121,123,122,125,124,126,125,124,124,123,121,121,119,119,118,118,
119,116,119,117,120,119,123,123,125,127,128,131,131,134,134,137,136,138,138,138,138,139,137,138,
137,136,136,134,134,132,132,130,130,129,128,128,129,129,130,130,132,133,136,136,139,141,144,146,
148,149,151,152,153,155,154,156,154,156,155,155,152,153,150,149,147,144,143,140,139,137,136,132,
133,130,131,129,131,131,131,133,134,134,136,136,138,139,139,141,139,141,140,141,139,139,137,137,
135,135,132,132,129,128,127,126,126,124,124,123,124,123,126,124,127,127,129,130,132,133,134,134,
135,136,137,137,137,137,137,137,136,136,133,134,131,131,128,128,125,124,122,121,120,119,118,118,
117,118,119,118,121,121,122,125,126,128,130,131,133,135,134,137,136,138,136,137,137,136,135,135,
132,132,129,128,126,123,123,120,120,118,118,115,116,114,116,114,116,116,116,117,118,117,118,118,
119,120,118,119,118,118,117,116,115,114,113,111,110,108,108,106,106,105,104,102,103,101,102,102,
103,104,104,105,106,108,109,109,111,112,114,115,115,117,117,119,118,120,119,121,119,120,118,119,
116,117,114,114,113,111,110,109,109,108,109,109,110,112,113,115,116,119,121,123,125,127,128,132,
134,136,136,138,138,139,139,138,138,138,136,136,135,134,134,133,133,131,132,131,131,131,131,132,
134,133,136,136,139,141,141,144,144,144,145,145,146,146,146,146,146,146,146,145,145,143,144,142,
142,140,140,137,137,134,134,132,133,132,134,133,136,137,138,140,140,143,144,147,148,150,149,152,
152,155,154,157,156,159,158,157,156,155,154,152,152,150,147,145,142,140,138,137,137,136,138,137,
140,139,141,141,143,143,145,145,145,144,144,143,142,141,140,140,139,139,137,138,136,137,137,137,
135,135,133,132,129,127,126,124,123,122,121,122,123,125,127,130,132,136,137,141,141,144,143,145,
142,143,139,138,134,129,126,121,117,113,111,108,106,106,104,103,102,100, 97, 95, 93, 92, 91, 92,
 92, 92, 94, 94, 96, 97, 97, 99, 98, 99, 97, 98, 96, 94, 93, 93, 90, 91, 90, 89, 89, 88, 88, 86,
 83, 81, 78, 72, 70, 65, 64, 60, 61, 60, 64, 65, 71, 73, 78, 82, 85, 88, 92, 95, 97,100,101,103,
106,108,110,110,110,110,109,108,105,104,101,101,100,101,101,102,103,103,104,105,106,108,111,112,
116,117,121,123,127,130,131,132,134,135,136,137,139,141,141,145,145,149,149,152,151,153,153,154,
153,153,152,150,150,147,145,143,142,141,141,142,143,145,145,146,146,147,146,147,145,146,146,146,
146,147,146,148,148,150,150,151,153,153,156,156,161,162,167,169,174,175,180,182,186,186,189,188,
190,190,191,190,190,190,187,187,183,184,182,181,180,177,175,172,168,165,160,158,155,151,150,147,
149,147,150,149,153,153,155,156,158,159,160,161,162,161,162,162,161,161,161,160,160,160,161,162,
164,166,164,165,162,160,155,151,145,140,136,131,129,124,124,120,121,119,118,118,117,113,112,109,
108,107,105,106,104,106,104,107,107,110,110,109,108,105,102, 97, 92, 88, 82, 79, 76, 76, 75, 75,
 77, 76, 79, 78, 81, 79, 80, 78, 79, 77, 78, 77, 79, 79, 81, 83, 86, 88, 90, 92, 93, 94, 95, 98,
 97,101,100,102,100, 99, 96, 94, 91, 88, 84, 81, 80, 76, 78, 75, 79, 78, 82, 84, 85, 88, 88, 91,
 92, 94, 96, 96, 96, 95, 95, 95, 95, 95, 96, 96, 96, 97, 96, 97, 96, 96, 96, 94, 96, 95, 98, 97,
101,101,105,105,108,109,111,112,114,114,116,116,117,117,118,118,119,119,119,119,117,118,117,118,
117,117,117,117,115,113,110,109,108,108,108,108,110,112,116,119,124,128,133,138,143,150,156,164,
170,176,181,187,188,193,192,196,194,195,193,191,190,188,187,186,184,181,179,174,172,167,165,161,
159,157,155,154,153,150,152,152,155,157,162,164,168,171,175,177,178,178,177,174,172,171,168,169,
166,168,166,167,166,167,167,166,164,163,161,159,157,153,153,150,150,148,147,147,147,148,146,147,
144,143,138,136,131,130,127,125,124,124,123,122,122,121,120,117,115,111,108,103,100, 98, 96, 96,
 97, 98,100,103,105,109,111,115,116,119,121,122,124,127,127,130,128,129,127,126,125,124,121,122,
119,119,118,119,119,120,122,124,125,127,129,130,133,133,133,134,133,133,132,133,133,136,138,141,
143,145,146,147,145,145,143,141,138,135,132,128,125,121,118,116,112,109,107,105,103,102,101,100,
101,100,103,104,104,107,108,110,110,113,114,115,117,118,119,118,117,115,112,109,107,104,102, 99,
 97, 94, 93, 90, 90, 87, 86, 84, 84, 80, 81, 79, 79, 79, 79, 80, 82, 82, 86, 87, 91, 95,100,106,
111,118,123,130,134,141,144,149,150,155,155,158,160,160,161,159,159,157,157,155,155,153,154,152,
153,151,153,152,150,149,146,146,144,142,142,143,144,146,148,151,150,153,152,154,152,150,148,144,
141,137,136,133,132,132,133,134,138,139,144,145,149,150,152,152,153,154,155,157,157,160,160,163,
161,163,160,160,155,152,146,141,136,131,128,124,124,121,121,118,119,117,115,113,111,108,106,102,
102, 99,100, 98, 99,100, 99,101,100,103,104,105,106,107,109,111,111,112,112,112,111,109,106,105,
103,101, 99, 97, 95, 92, 92, 91, 93, 93, 98, 99,104,107,110,115,117,121,121,125,124,127,126,129,
128,131,132,133,134,134,135,134,133,130,130,126,126,123,120,118,117,113,113,111,110,110,111,114,
117,119,120,123,123,126,127,130,130,133,133,136,136,139,138,141,141,141,139,137,133,131,127,124,
121,117,115,110,109,104,103, 99, 98, 96, 96, 95, 96, 95, 97, 96, 97, 96, 95, 94, 93, 92, 91, 92,
 91, 93, 92, 94, 94, 97, 97, 99,103,105,110,112,117,121,124,128,131,134,135,138,140,143,146,150,
153,158,161,163,167,168,169,169,169,167,165,162,160,157,155,153,152,151,151,150,151,150,152,150,
151,148,148,144,144,140,141,140,142,143,146,150,152,157,159,163,164,164,165,165,166,167,167,171,
171,175,174,177,176,176,173,171,167,161,158,151,148,143,142,138,139,135,136,135,134,134,133,134,
132,132,129,129,126,125,121,121,117,117,115,113,112,110,109,106,104,101,100, 98, 97, 97, 96, 96,
 96, 95, 95, 94, 94, 93, 93, 91, 92, 90, 91, 93, 94, 98, 99,104,106,109,109,113,113,117,117,120,
120,122,121,122,120,121,120,120,120,120,121,120,122,121,124,123,123,123,123,122,122,122,122,123,
123,125,127,130,131,135,136,137,138,139,140,142,143,144,143,144,143,143,141,141,140,139,139,136,
138,135,137,136,137,136,135,133,133,130,130,129,128,127,126,125,124,122,120,119,117,116,113,112,
107,106,102, 96, 93, 88, 82, 79, 77, 74, 73, 73, 74, 76, 80, 80, 85, 87, 92, 94, 99,101,105,108,
113,117,122,127,133,139,144,148,152,156,156,156,152,150,144,139,133,128,123,120,118,115,116,115,
117,119,120,121,122,123,123,124,125,126,126,129,131,136,139,144,146,150,149,151,148,148,144,143,
140,138,138,137,140,140,142,142,144,143,147,146,149,147,149,149,153,154,155,158,158,159,159,159,
160,161,161,159,157,155,150,147,141,134,126,120,111,107,102, 99, 96, 93, 90, 89, 88, 90, 93, 96,
100,105,113,118,127,134,139,144,146,150,153,155,157,158,155,155,151,147,142,136,129,121,113,106,
102, 99, 98, 95, 95, 93, 96, 97,103,106,113,117,125,130,141,150,160,166,172,175,178,180,183,184,
183,183,180,175,170,164,153,145,133,122,113,106,102, 97, 95, 92, 92, 94, 98,101,108,113,120,127,
136,146,157,164,173,178,184,187,192,195,198,198,198,196,192,186,178,167,153,138,125,113,103, 93,
 86, 78, 74, 69, 65, 65, 66, 67, 67, 68, 70, 74, 81, 89, 97,105,113,119,128,134,141,147,152,157,
160,163,161,160,153,148,140,134,129,126,122,120,116,115,112,112,110,109,108,104,105,105,109,115,
122,129,138,144,151,155,160,161,163,164,164,164,164,162,157,151,142,133,124,116,107,101, 92, 85,
 80, 73, 73, 72, 74, 73, 78, 80, 87, 95,105,116,127,137,147,155,161,166,170,172,174,176,177,177,
173,170,161,154,142,134,122,115,106, 96, 90, 83, 81, 78, 79, 78, 77, 77, 78, 79, 83, 87, 92, 97,
103,107,115,120,125,130,133,138,140,145,145,147,143,140,130,123,112,105, 95, 89, 79, 74, 71, 68,
 71, 72, 77, 80, 84, 88, 94,100,108,112,121,126,135,142,149,153,157,161,165,170,171,175,173,172,
166,159,152,144,137,129,119,112,105, 99, 98, 95, 96, 94, 97, 97,102,104,112,117,124,132,139,148,
155,161,166,169,174,177,181,184,186,186,184,180,174,168,161,154,146,137,127,121,114,110,107,103,
100, 98, 98,100,105,107,114,118,123,129,134,138,140,138,139,137,136,135,136,136,133,132,125,122,
115,111,102, 96, 85, 78, 70, 66, 62, 61, 62, 63, 69, 74, 85, 93,106,114,127,135,146,154,163,169,
174,180,183,190,195,199,201,202,197,194,185,179,167,157,143,133,121,114,106,102, 96, 93, 89, 89,
 90, 92, 96, 99,104,108,114,119,127,132,140,144,151,157,164,171,176,180,182,182,180,176,172,166,
157,149,139,129,121,114,107,100, 93, 89, 85, 85, 86, 86, 92, 95,103,107,115,122,126,131,132,135,
137,141,143,143,141,140,135,133,127,124,115,109, 99, 91, 85, 79, 74, 68, 63, 56, 52, 48, 47, 45,
 49, 51, 57, 61, 71, 78, 88, 94,102,106,112,120,126,134,140,143,146,147,148,149,145,143,136,133,
126,124,118,116,110,107,103,102,101,102,103,104,108,110,117,123,129,134,139,141,147,150,156,162,
166,172,173,177,178,181,179,179,172,169,162,157,151,148,143,139,136,132,132,129,131,129,132,131,
135,137,141,145,149,151,155,157,161,165,169,172,173,175,173,173,168,164,153,144,132,123,111,104,
 95, 89, 80, 75, 69, 63, 61, 57, 55, 54, 54, 56, 62, 68, 78, 87, 95,105,115,126,137,146,155,160,
167,171,175,178,179,178,175,170,166,162,156,151,146,140,134,129,123,120,117,115,114,115,118,123,
130,134,141,144,150,154,158,163,166,166,169,169,172,173,173,173,169,165,160,154,150,145,141,137,
134,131,132,131,134,134,137,138,143,145,152,156,163,165,170,172,176,177,180,181,180,179,180,179,
179,177,171,166,157,147,137,125,112,101, 87, 78, 68, 62, 57, 53, 52, 50, 50, 52, 57, 62, 68, 73,
 78, 81, 87, 91, 94, 98,100,103,105,108,112,115,116,118,116,114,108,104, 96, 91, 83, 77, 69, 64,
 59, 57, 53, 52, 52, 54, 57, 63, 70, 77, 84, 91, 98,107,114,122,127,133,137,143,146,151,152,154,
152,152,148,147,141,138,131,124,118,111,107,103, 99, 97, 95, 95, 96,101,108,114,122,130,139,149,
158,166,174,179,183,185,187,188,191,192,194,194,191,190,185,180,174,166,156,145,135,124,115,105,
 98, 92, 87, 86, 87, 88, 92, 94, 99,103,107,112,116,118,122,123,127,129,135,138,143,147,147,151,
149,151,147,146,140,135,129,124,121,117,114,112,110,112,115,117,123,126,132,136,142,147,152,158,
162,168,172,176,180,184,187,190,189,189,185,183,177,173,164,157,147,138,130,121,113,105, 99, 93,
 92, 92, 94, 97,102,108,118,125,137,146,156,166,175,184,191,199,206,210,214,216,215,214,210,208,
201,196,186,179,170,160,151,140,131,120,113,105, 99, 95, 91, 90, 89, 90, 92, 96,100,106,111,115,
121,124,130,135,137,140,140,141,139,138,134,129,123,116,109,102, 95, 87, 79, 70, 64, 57, 54, 49,
 49, 46, 49, 50, 53, 58, 64, 69, 76, 80, 87, 92, 99,105,112,117,122,126,128,129,128,128,122,119,
111,105, 97, 90, 80, 73, 64, 58, 52, 49, 47, 45, 47, 48, 52, 55, 62, 67, 75, 81, 90, 97,107,115,
127,137,147,156,162,169,172,174,173,169,163,159,151,147,139,133,124,118,111,106,101, 96, 94, 89,
 89, 88, 91, 93, 99,102,109,114,119,124,132,138,141,146,147,149,149,149,145,142,136,132,126,120,
115,109,104, 99, 92, 89, 86, 82, 82, 80, 83, 85, 90, 98,107,117,126,136,144,154,164,172,180,187,
192,198,201,206,207,207,205,202,196,192,185,180,172,166,157,151,143,136,128,124,118,114,112,112,
114,117,121,124,129,132,138,142,150,156,162,169,176,184,189,195,197,200,201,199,197,193,189,184,
178,170,163,156,151,144,140,134,132,130,130,130,134,134,137,138,139,141,144,144,146,147,148,150,
151,153,153,151,151,149,144,141,134,130,123,114,107, 98, 92, 85, 79, 73, 69, 64, 64, 63, 66, 68,
 74, 77, 84, 88, 96,100,106,112,117,123,127,131,135,137,139,138,138,135,133,130,126,121,116,109,
104, 98, 94, 89, 82, 78, 75, 74, 73, 76, 79, 84, 90, 94,102,106,113,115,120,123,125,128,131,132,
136,137,140,140,142,143,142,142,139,135,129,126,119,115,108,104, 99, 97, 97, 98,100,103,106,111,
116,118,123,124,128,128,132,133,136,137,141,142,144,144,143,143,140,137,130,124,114,108, 98, 91,
 83, 74, 68, 61, 59, 55, 56, 57, 58, 62, 66, 72, 77, 84, 91, 99,106,116,124,131,140,147,154,160,
164,170,172,175,174,173,168,164,159,153,147,141,135,128,124,121,119,120,120,122,125,130,133,139,
143,148,152,157,160,165,168,172,174,177,177,179,180,180,180,178,176,174,170,168,163,161,156,153,
148,147,145,142,144,145,147,151,154,159,164,169,174,179,183,188,191,195,196,197,195,194,190,188,
183,178,169,162,152,144,133,125,113,105, 93, 86, 78, 71, 67, 64, 62, 63, 64, 67, 71, 75, 80, 85,
 90, 95,102,108,115,120,125,130,133,137,139,141,139,139,135,132,127,121,115,108,101, 94, 88, 82,
 79, 76, 76, 76, 77, 79, 82, 83, 87, 90, 93, 98,102,109,116,123,130,135,141,145,150,151,152,149,
146,142,135,131,124,120,112,107,101, 95, 92, 89, 88, 87, 89, 89, 93, 96,103,106,113,118,125,131,
139,147,153,160,165,169,172,174,175,173,171,167,164,159,154,148,141,133,124,115,105, 96, 87, 79,
 72, 67, 63, 61, 61, 59, 60, 60, 59, 61, 63, 67, 71, 73, 78, 81, 87, 90, 95, 98,101,105,106,110,
110,113,112,114,113,112,110,108,105,105,104,105,105,108,111,114,117,120,123,127,130,136,140,146,
150,156,160,164,169,172,175,176,176,175,171,169,163,159,151,146,137,132,125,120,115,113,110,112,
114,118,125,130,137,142,150,156,163,171,177,184,190,198,204,211,216,222,225,226,228,226,224,220,
216,209,201,192,183,172,163,152,144,135,130,124,122,120,118,117,116,116,117,118,120,119,122,123,
126,127,130,131,133,134,132,133,131,129,127,124,121,118,112,108,101, 97, 91, 87, 84, 81, 82, 82,
 86, 88, 94, 99,104,111,117,121,127,130,135,139,142,144,146,148,150,151,150,149,149,146,143,138,
132,128,120,114,105, 98, 91, 86, 82, 81, 81, 83, 84, 89, 93, 99,104,110,115,121,126,132,138,145,
152,159,165,172,175,180,181,183,181,179,173,169,162,157,148,142,134,128,122,118,114,113,110,110,
110,111,112,113,114,116,116,118,119,121,122,123,124,124,124,122,121,116,113,106,100, 93, 86, 79,
 72, 64, 57, 50, 46, 42, 42, 41, 45, 47, 54, 60, 67, 76, 85, 93,104,112,122,129,138,145,152,157,
162,165,169,170,170,171,168,166,161,158,151,146,138,129,122,114,107,100, 96, 92, 88, 87, 87, 87,
 90, 93, 97,103,110,117,125,135,144,152,160,167,175,182,187,191,192,195,194,195,194,191,188,184,
180,175,170,167,163,161,158,156,154,154,155,154,156,156,158,158,161,162,163,165,165,166,167,166,
166,163,161,157,152,147,140,132,123,114,104, 96, 87, 81, 75, 72, 69, 67, 67, 67, 68, 70, 73, 76,
 80, 84, 89, 96,104,111,120,127,134,142,147,153,155,158,156,156,152,150,145,138,132,125,117,110,
103, 98, 92, 89, 85, 83, 80, 80, 79, 80, 82, 83, 89, 93, 98,105,111,118,125,130,137,141,146,148,
152,154,154,157,156,157,154,152,147,144,138,136,132,128,127,124,123,123,124,125,127,129,133,136,
141,144,151,155,158,163,167,168,172,172,172,172,169,168,163,158,153,145,137,127,117,106, 96, 85,
 76, 67, 60, 53, 50, 45, 44, 43, 43, 45, 47, 53, 59, 66, 74, 83, 93,101,112,121,130,137,145,151,
155,158,160,160,159,155,148,144,135,130,123,116,112,106,104,102,102,101,102,100,103,104,106,107,
110,113,115,118,121,124,127,130,133,135,138,139,142,142,143,141,139,135,131,126,122,117,113,109,
108,109,109,112,116,118,124,129,136,141,147,153,159,166,171,177,181,186,187,190,189,190,187,187,
184,180,173,168,159,150,139,130,117,107, 95, 87, 78, 72, 66, 64, 63, 62, 66, 67, 73, 76, 83, 87,
 94, 99,106,111,117,120,126,129,134,138,141,146,147,149,147,146,141,138,130,125,116,111,105,100,
 99, 97, 96, 98,100,101,104,105,109,111,115,117,123,127,130,135,138,142,144,146,149,149,151,149,
148,145,141,136,131,124,119,114,108,106,102,103,103,104,108,110,116,119,125,129,136,141,149,154,
161,166,173,177,182,184,189,190,192,193,190,188,183,179,171,162,154,144,135,126,117,111,104,100,
 96, 93, 91, 89, 89, 88, 90, 89, 92, 93, 95, 98,102,103,107,108,112,114,117,121,123,127,128,131,
131,132,129,130,127,125,123,121,120,119,119,120,120,122,124,128,130,134,139,143,149,154,160,165,
169,173,175,176,178,177,177,175,170,167,161,154,147,139,132,124,115,110,104, 99, 95, 92, 91, 89,
 91, 92, 96, 99,103,109,116,122,131,137,147,154,162,170,177,185,191,195,200,202,202,200,195,191,
184,176,168,159,152,145,136,131,124,120,114,111,106,103,100, 95, 94, 91, 92, 92, 95, 97, 99,103,
107,111,114,119,122,123,125,124,123,120,117,113,110,107,102,101, 97, 96, 94, 93, 91, 92, 91, 92,
 93, 95, 97,101,104,110,115,119,126,130,136,140,145,147,151,152,155,154,155,153,151,147,142,135,
129,123,115,110,103, 99, 93, 90, 87, 86, 85, 85, 87, 88, 93, 97,102,109,117,123,132,139,145,153,
159,166,172,176,181,184,184,185,182,180,174,171,164,160,153,148,142,139,134,132,128,127,123,122,
122,120,122,121,124,126,127,130,131,134,136,136,138,137,139,137,136,132,128,121,114,106, 99, 91,
 84, 77, 71, 69, 66, 66, 66, 69, 72, 76, 80, 86, 91, 99,106,112,121,127,135,141,148,153,159,166,
170,176,179,184,185,185,182,180,174,169,160,153,143,137,128,122,117,112,108,104,102, 99,100, 99,
102,104,108,113,117,123,129,133,139,142,148,152,158,161,167,170,174,175,177,177,176,174,169,167,
161,158,153,151,147,144,142,140,140,138,139,140,140,143,144,145,147,145,145,142,141,138,137,134,
134,131,130,125,122,116,110,103, 94, 86, 76, 68, 59, 54, 49, 45, 43, 42, 41, 43, 43, 47, 50, 55,
 59, 66, 71, 78, 84, 90, 97,102,107,113,118,124,127,131,134,135,133,133,129,124,119,112,107,101,
 97, 93, 90, 87, 84, 83, 81, 82, 81, 82, 84, 85, 89, 92, 97,102,107,111,115,121,126,131,137,142,
145,150,152,155,155,154,153,150,148,146,141,141,137,138,136,136,136,137,138,138,142,143,148,150,
156,158,163,165,169,170,174,175,176,177,177,176,176,173,171,165,160,151,144,134,125,116,106, 98,
 90, 83, 75, 71, 65, 63, 60, 59, 59, 63, 66, 72, 78, 86, 92,101,108,117,124,132,138,144,150,153,
158,160,162,161,161,159,157,155,150,148,143,141,138,136,134,133,131,131,130,129,131,131,134,134,
137,139,143,146,150,153,156,159,161,164,165,167,166,163,161,157,152,149,143,140,136,135,132,133,
132,135,135,138,139,142,144,149,152,157,162,168,174,181,188,192,199,202,207,208,209,208,206,202,
197,189,182,172,163,153,144,135,124,116,108, 99, 93, 86, 81, 75, 72, 69, 69, 69, 71, 72, 76, 79,
 84, 87, 93, 96,102,105,110,114,116,120,120,122,121,117,115,110,107,101, 96, 92, 86, 82, 78, 75,
 72, 70, 69, 68, 70, 71, 74, 76, 80, 83, 88, 91, 96,100,103,108,111,115,117,121,122,124,124,122,
120,117,114,111,106,103, 99, 97, 94, 94, 92, 93, 92, 95, 96,101,105,108,114,118,125,130,136,142,
148,155,161,166,173,176,181,185,185,187,185,182,179,173,168,161,155,149,142,138,131,127,122,117,
115,111,110,107,107,104,104,104,103,102,103,102,104,106,108,112,116,120,125,129,130,133,133,132,
131,128,126,122,121,118,117,115,114,113,115,116,117,120,123,127,133,137,143,146,152,155,160,161,
166,167,171,172,175,174,176,174,174,170,168,163,158,152,146,141,133,128,121,116,110,108,105,106,
106,110,113,119,123,130,134,141,147,152,158,163,170,175,183,189,196,200,205,208,210,209,206,203,
197,192,185,177,171,163,156,149,144,139,133,130,126,125,122,121,119,119,117,117,117,116,117,117,
120,121,123,124,126,126,125,125,121,118,112,108,103, 98, 93, 89, 83, 81, 77, 76, 73, 73, 72, 73,
 74, 75, 79, 80, 85, 87, 91, 95, 99,102,108,112,117,120,124,127,129,130,129,126,121,118,111,106,
 99, 93, 86, 79, 75, 69, 66, 61, 60, 58, 59, 60, 61, 65, 68, 73, 77, 84, 88, 96,103,109,117,123,
131,137,142,148,152,156,156,157,155,152,150,146,142,137,134,130,125,123,118,117,114,114,112,113,
113,115,117,120,123,125,129,131,135,137,137,139,139,140,138,138,134,131,125,122,115,110,105,100,
 93, 90, 86, 84, 81, 81, 81, 80, 82, 82, 86, 90, 93, 99,103,110,117,123,132,139,148,156,163,172,
178,185,188,191,191,189,187,182,176,171,164,159,154,148,144,138,135,131,128,123,122,118,118,117,
117,119,121,125,129,136,141,148,154,159,167,171,176,179,181,183,182,183,181,181,178,178,175,174,
171,169,168,166,165,162,162,160,160,159,160,158,160,161,162,163,164,166,168,169,169,170,169,170,
168,165,163,158,153,147,141,134,127,119,113,106,100, 94, 90, 85, 82, 79, 78, 78, 78, 80, 81, 85,
 89, 93, 98,102,108,112,117,123,127,132,136,140,141,143,143,142,140,138,135,131,125,122,115,112,
106,102, 97, 94, 90, 88, 86, 85, 83, 83, 83, 85, 86, 89, 91, 96,100,104,110,113,119,123,126,130,
131,132,133,132,132,130,128,125,123,119,117,114,112,109,107,106,106,106,106,107,107,109,110,112,
114,117,121,124,129,134,137,143,146,150,151,152,150,150,146,142,137,129,123,114,107, 99, 89, 82,
 74, 69, 65, 60, 59, 56, 57, 56, 59, 62, 64, 69, 73, 79, 84, 89, 96,102,109,114,121,125,132,137,
140,145,146,148,149,149,148,146,143,139,136,133,131,128,129,127,129,130,131,133,134,137,139,139,
142,143,146,147,151,153,157,159,162,164,167,167,168,167,166,164,162,158,155,151,146,143,139,138,
136,137,137,139,143,145,149,152,158,162,166,172,176,182,187,193,197,202,205,207,208,208,206,203,
198,193,187,180,171,165,155,148,139,130,124,116,111,105,101, 97, 93, 92, 90, 90, 89, 90, 92, 93,
 98,100,105,110,114,119,123,127,129,131,130,131,129,129,126,124,119,117,111,109,105,101, 99, 96,
 96, 95, 94, 96, 96, 99,101,101,105,107,110,113,116,120,124,127,130,133,136,137,138,137,137,136,
133,131,127,125,120,116,113,109,106,102,101, 99,100, 99,101,103,107,111,114,119,123,128,134,138,
144,148,154,157,162,163,166,166,167,165,164,162,160,157,152,148,143,137,130,126,119,115,109,102,
 99, 93, 90, 86, 83, 79, 78, 75, 76, 75, 76, 78, 81, 85, 88, 92, 94, 97, 98, 98, 98, 96, 95, 93,
 89, 89, 85, 85, 82, 83, 82, 83, 83, 84, 83, 86, 87, 90, 92, 95, 98,103,108,112,119,124,131,136,
144,149,153,158,161,161,162,161,160,158,154,152,146,143,138,134,130,127,122,120,116,115,114,112,
113,113,115,117,121,125,128,134,140,145,153,158,167,172,180,185,191,195,198,202,203,204,204,203,
199,197,192,190,184,180,173,168,162,159,153,150,146,141,140,136,135,132,133,131,131,132,132,133,
134,135,135,137,135,136,135,133,131,128,125,121,117,113,110,106,103, 99, 96, 94, 92, 90, 90, 88,
 89, 89, 92, 93, 97,100,103,108,112,117,121,126,131,133,137,137,140,141,139,139,136,132,129,125,
119,116,111,107,104,100, 99, 98, 96, 94, 93, 92, 94, 94, 96, 98,102,105,111,115,121,128,134,141,
147,154,158,163,166,169,169,170,167,166,163,160,157,154,149,147,143,142,139,138,136,136,135,135,
135,136,137,137,137,137,137,138,138,138,137,135,136,133,134,132,129,127,124,120,115,110,103, 98,
 92, 86, 81, 76, 73, 70, 68, 68, 67, 69, 69, 72, 75, 78, 81, 86, 90, 95,100,106,112,118,123,129,
134,138,143,145,148,147,148,146,143,140,135,130,126,122,117,114,110,106,104,101,101, 99, 98, 99,
 99,101,104,105,110,112,118,121,127,130,135,139,142,146,149,150,152,152,153,153,152,152,151,151,
151,151,150,152,151,153,154,154,156,156,158,158,160,160,163,164,167,168,171,170,173,172,173,171,
170,166,164,159,156,151,144,140,132,127,120,116,111,106,103,100, 98, 96, 94, 95, 94, 95, 94, 96,
 97,100,103,108,112,117,121,125,130,133,137,139,142,142,144,144,144,141,140,136,133,129,126,121,
118,115,110,108,105,102,102,100,100,100, 99,101,103,107,109,113,117,119,123,126,129,130,133,135,
135,137,137,139,139,138,138,137,135,135,133,132,132,131,130,129,130,130,130,130,131,131,135,137,
142,145,151,155,160,165,169,172,175,174,176,173,172,168,164,160,153,149,141,137,130,127,120,114,
109,103, 99, 94, 91, 88, 84, 81, 81, 81, 81, 84, 87, 91, 95,100,104,110,114,118,121,124,127,127,
130,130,131,131,131,130,130,129,129,127,126,125,123,122,121,120,118,117,117,117,117,118,119,119,
122,123,125,127,129,131,132,133,134,134,134,133,133,131,127,127,122,122,117,116,111,109,107,105,
105,104,105,105,108,109,114,117,123,127,134,140,145,152,157,163,168,171,176,177,180,180,180,178,
175,172,168,163,158,153,147,141,133,128,120,116,109,106,100, 98, 96, 94, 95, 94, 96, 97, 99,102,
105,109,112,116,119,120,124,125,127,127,128,126,126,124,122,122,118,118,114,114,110,111,110,108,
109,109,108,109,109,111,111,114,115,118,120,124,127,130,133,136,139,140,143,143,143,141,140,138,
135,132,128,124,120,115,111,109,106,105,103,102,104,105,107,108,113,115,120,124,128,133,136,141,
146,148,153,155,161,163,168,169,172,173,173,173,171,170,165,162,156,153,146,143,138,133,128,126,
122,120,117,117,115,113,114,112,113,113,114,113,114,115,116,117,119,119,121,119,120,119,119,117,
115,113,111,108,107,106,105,104,104,105,106,107,109,112,114,118,120,125,129,132,138,141,145,149,
151,155,159,160,161,162,160,160,158,156,152,149,143,140,134,131,126,122,119,115,112,109,108,106,
106,104,105,105,108,110,114,117,121,124,129,132,137,142,146,151,154,158,160,163,165,164,164,164,
160,160,155,154,150,149,145,141,138,134,131,127,125,122,119,117,116,116,114,114,114,114,115,116,
116,117,118,116,117,116,116,114,112,109,107,105,100, 99, 94, 93, 89, 86, 84, 83, 81, 82, 81, 83,
 84, 87, 91, 94,100,105,109,114,119,122,128,131,134,137,139,141,142,143,142,142,140,137,134,131,
128,124,120,117,114,110,108,105,103,101, 99, 97, 98, 98,101,102,107,111,116,122,128,134,139,142,
148,150,154,157,157,159,158,159,157,158,156,155,154,153,152,150,150,148,148,146,145,142,141,140,
139,140,140,142,142,144,146,147,149,149,150,148,149,146,146,143,141,138,133,131,125,121,117,112,
108,104,100, 97, 94, 92, 90, 88, 87, 86, 87, 88, 92, 93, 98,101,108,112,120,125,130,135,140,144,
148,152,155,158,159,159,160,159,156,156,152,151,147,144,141,138,136,133,129,128,124,124,122,122,
121,122,123,125,128,129,133,134,138,138,141,142,145,146,148,148,149,151,149,151,149,150,148,147,
147,146,147,146,147,147,147,147,148,148,150,150,152,152,155,156,157,158,158,157,157,155,153,151,
149,146,143,140,135,132,127,122,116,111,106,102, 98, 95, 91, 87, 84, 81, 80, 77, 76, 74, 75, 73,
 76, 77, 81, 84, 87, 91, 96, 97,103,104,109,111,114,115,117,118,119,119,116,116,113,113,109,109,
106,105,102,102,100, 98, 98, 97, 97, 96, 97, 98, 98,100,101,102,104,104,107,108,112,114,116,119,
121,124,126,127,128,128,127,127,124,126,123,124,121,123,122,124,125,127,128,129,133,134,139,141,
146,148,153,154,159,160,165,165,169,168,170,169,170,169,166,165,160,158,152,149,143,140,134,130,
125,121,117,114,110,108,106,104,103,101,103,103,106,105,108,110,114,115,119,120,124,126,130,132,
134,135,136,137,137,139,139,140,138,139,137,138,137,136,136,136,136,135,135,135,135,137,139,139,
142,141,144,144,147,146,148,148,149,148,148,147,146,144,141,139,137,134,132,131,129,127,126,125,
125,126,126,127,127,130,131,135,138,143,148,151,156,160,165,169,173,174,179,179,183,182,184,181,
180,178,173,171,166,162,155,151,144,140,133,130,125,121,116,114,110,108,108,107,108,107,107,108,
108,109,109,109,109,110,110,111,111,111,110,110,109,107,106,104,103,102,101, 99, 98, 97, 94, 95,
 93, 92, 89, 90, 89, 91, 91, 93, 95, 97,101,101,106,105,109,108,111,110,111,111,109,108,105,105,
102,100, 98, 97, 95, 94, 92, 91, 90, 89, 89, 87, 86, 85, 86, 87, 89, 92, 95, 98,104,107,114,117,
123,126,132,135,141,143,148,151,153,156,156,158,158,157,157,155,153,151,149,146,144,141,136,134,
130,127,126,123,122,120,121,120,122,121,121,121,121,121,123,122,124,124,123,124,123,123,121,122,
119,120,116,117,114,115,115,114,115,114,115,114,116,117,120,122,125,129,133,137,141,144,147,150,
152,155,157,159,162,162,163,163,162,161,159,158,153,152,146,145,141,138,134,131,126,125,122,119,
119,117,118,118,122,123,127,129,133,136,139,143,146,150,154,159,163,166,168,172,173,176,176,177,
175,174,174,172,171,170,166,164,161,158,155,152,149,146,145,143,144,142,143,141,142,141,140,140,
140,140,140,140,138,138,137,134,133,129,126,123,120,116,114,110,108,105,103,101, 98, 98, 96, 97,
 97, 99,100,103,105,106,110,112,115,115,119,120,125,125,130,130,133,133,134,132,131,127,124,122,
117,114,108,105,101, 98, 94, 91, 89, 86, 85, 84, 84, 83, 86, 86, 89, 88, 92, 91, 96, 96,101,102,
106,107,112,113,117,118,120,121,122,123,121,123,121,123,121,123,122,124,122,124,122,124,123,125,
126,127,129,129,131,131,133,132,135,134,136,134,135,134,135,133,133,130,128,126,121,120,115,114,
108,107,102,101, 97, 96, 93, 91, 90, 89, 90, 90, 94, 95,100,102,108,111,117,121,127,131,135,140,
145,149,152,154,156,157,158,158,157,156,155,153,152,150,148,145,143,140,138,135,134,132,131,130,
131,129,131,130,133,134,135,137,139,139,142,142,146,147,147,148,148,150,148,150,148,149,148,148,
148,147,148,148,148,148,149,149,151,152,155,155,158,158,162,162,165,164,166,166,166,167,167,167,
165,165,162,161,158,154,151,148,144,140,136,131,127,123,118,114,108,106,102,101, 99, 99, 99, 98,
101,101,106,106,111,111,116,117,121,122,125,126,128,129,131,131,132,134,134,134,134,133,133,131,
129,127,122,120,116,114,111,110,108,107,106,107,107,108,110,109,112,112,113,115,116,118,118,118,
119,119,117,118,117,116,115,115,113,113,110,110,108,105,104,102,103,103,105,105,108,109,113,116,
120,122,126,129,131,134,137,139,141,143,144,143,144,143,140,141,136,136,132,128,125,121,116,112,
106,102, 97, 95, 91, 89, 86, 85, 84, 84, 85, 83, 85, 84, 87, 88, 90, 91, 94, 95, 99,100,104,106,
109,112,113,117,117,121,121,124,123,124,122,123,121,123,121,123,123,123,125,126,129,130,133,134,
135,137,139,141,142,144,145,147,147,148,147,148,146,146,143,143,140,140,137,137,134,131,130,127,
127,126,126,126,127,128,132,134,139,142,148,150,156,159,165,167,173,176,178,181,183,185,185,186,
184,183,180,179,175,173,168,165,158,155,149,147,141,139,135,131,130,128,125,124,122,121,120,119,
119,117,120,118,121,121,123,124,126,127,126,127,125,126,123,124,121,119,118,116,113,113,111,111,
110,111,112,112,115,116,117,120,121,122,124,123,126,126,127,128,130,130,132,133,131,132,130,129,
128,126,124,122,120,117,115,113,109,108,104,104,102,102,102,101,104,104,107,107,111,112,116,118,
123,125,129,133,137,139,143,145,147,148,150,151,151,151,150,148,147,144,142,140,136,134,129,128,
125,121,121,118,118,116,114,114,113,112,113,110,112,110,111,111,110,110,108,108,105,105,102,102,
 99, 98, 95, 94, 91, 91, 89, 89, 87, 88, 88, 88, 90, 92, 95, 97,101,104,108,110,115,117,122,124,
129,130,135,137,138,141,141,143,142,144,142,143,140,139,135,134,130,129,125,123,120,118,115,113,
113,112,113,112,113,114,116,118,121,121,126,128,134,137,142,145,149,153,156,161,163,166,168,170,
169,171,170,170,169,168,164,164,161,159,158,156,154,153,152,153,152,153,153,153,152,152,152,152,
152,150,149,147,144,144,141,141,139,138,135,134,131,130,127,125,120,118,114,113,109,108,105,105,
104,105,105,108,110,112,115,118,122,123,128,130,132,135,136,138,138,140,140,141,140,139,138,136,
133,132,128,126,121,119,115,114,110,109,106,106,106,104,106,106,108,109,110,112,115,115,119,120,
123,124,127,129,130,133,134,134,136,136,137,136,137,136,135,134,134,135,133,134,133,134,133,135,
135,137,137,138,140,140,142,142,143,144,144,144,144,144,143,143,142,140,138,137,133,131,126,124,
117,115,109,106,101, 99, 95, 91, 90, 87, 88, 86, 87, 88, 89, 91, 94, 96,100,103,106,110,112,116,
118,122,124,127,128,130,131,132,133,133,130,130,127,127,123,123,120,119,116,116,113,114,113,114,
113,114,114,116,116,118,119,120,120,121,123,122,124,124,125,125,126,126,127,127,127,127,127,128,
127,128,129,129,130,131,133,135,135,138,140,142,144,145,147,148,151,152,155,155,159,160,161,163,
163,163,163,162,161,158,156,152,148,143,139,134,131,126,123,119,117,115,114,112,112,110,111,110,
111,110,113,112,116,116,119,120,123,124,128,129,132,132,134,136,136,137,136,135,134,133,132,129,
128,125,124,122,121,119,119,118,117,115,116,115,117,117,119,120,120,121,122,123,124,125,126,126,
126,127,126,127,125,125,124,122,121,119,118,116,115,114,113,112,111,113,113,114,115,118,121,122,
128,129,135,136,141,144,148,150,152,155,155,158,157,159,158,157,156,154,152,150,146,144,140,136,
132,128,124,123,119,117,114,113,111,111,111,109,110,108,110,109,111,111,113,113,116,117,118,121,
121,124,124,124,125,125,125,124,124,123,123,121,121,120,119,120,119,120,120,121,123,122,125,125,
128,129,130,132,133,134,135,136,137,137,138,137,137,136,133,133,129,128,125,121,119,115,112,110,
107,105,104,103,102,104,105,108,111,115,118,123,126,130,135,137,141,142,146,147,151,151,154,155,
156,156,157,157,155,156,153,151,148,145,142,138,135,130,128,124,123,120,121,120,121,119,121,120,
122,121,123,122,124,124,124,126,125,127,126,127,126,126,126,126,124,124,122,120,119,117,117,115,
115,113,115,115,116,116,119,119,123,123,126,126,129,130,131,133,133,136,136,138,138,140,138,139,
137,138,135,134,130,129,125,124,121,118,116,114,111,111,109,110,111,110,113,113,115,117,118,120,
122,123,127,128,132,134,138,140,143,145,146,147,148,148,148,146,146,145,142,142,139,138,135,135,
132,132,132,130,129,130,129,129,129,130,129,130,129,130,130,131,130,131,129,130,129,128,126,126,
123,121,119,116,114,113,110,110,107,106,105,104,105,105,108,108,112,114,116,120,123,124,128,129,
133,135,139,141,144,145,148,149,151,151,152,151,150,149,146,145,142,139,137,133,131,128,126,124,
122,121,120,118,117,117,117,117,118,118,120,121,124,125,130,132,134,138,139,143,144,144,145,143,
143,142,140,140,137,137,136,134,133,132,132,131,131,129,130,129,130,129,129,128,127,128,127,128,
129,129,129,130,129,130,128,129,126,124,123,119,117,114,112,108,106,103, 99, 99, 96, 95, 94, 94,
 94, 94, 95, 96, 97, 99,100,102,105,106,110,112,115,118,120,123,124,127,128,129,127,129,128,127,
125,125,122,120,119,116,115,113,112,111,109,109,109,109,111,110,113,113,114,116,118,120,122,123,
126,126,129,130,132,133,133,134,134,133,134,134,133,133,132,131,129,129,128,129,129,128,130,130,
133,133,136,137,138,139,140,142,145,145,148,148,149,151,151,152,152,151,150,148,146,144,139,137,
132,130,125,123,119,117,113,112,109,109,108,108,107,108,108,109,111,111,115,116,120,121,125,127,
131,133,137,138,141,143,143,145,145,146,145,145,143,143,140,140,138,137,135,135,135,134,136,135,
137,136,138,137,139,139,139,140,139,140,139,140,140,140,141,140,141,141,142,142,142,143,141,142,
140,139,139,137,136,134,135,133,136,136,137,137,140,139,142,142,146,146,147,149,149,151,150,152,
151,152,150,150,149,147,146,143,141,138,136,133,130,126,123,119,115,114,110,109,107,105,103,102,
102, 99,101, 99,101,100,100,102,102,105,105,108,108,110,111,112,113,114,112,113,112,110,110,108,
108,106,106,105,103,104,105,104,106,105,107,107,107,108,109,110,111,112,113,115,115,118,119,119,
121,121,121,121,121,119,119,117,117,116,114,113,111,109,110,108,110,110,111,112,113,115,117,120,
121,125,128,129,132,134,138,139,142,144,146,146,148,149,150,150,148,149,147,147,144,144,140,139,
135,134,132,130,128,127,125,125,123,123,122,122,122,122,121,122,121,122,123,123,125,124,126,127,
126,127,127,125,125,124,124,123,122,122,120,121,120,121,121,123,124,125,127,127,130,130,134,135,
137,139,141,142,145,147,149,150,151,154,153,154,153,151,149,147,144,141,138,135,132,130,127,126,
124,123,124,123,124,124,125,127,128,129,132,133,136,139,141,144,147,150,153,156,158,160,162,163,
162,163,162,162,160,159,156,155,152,149,147,144,143,142,139,138,136,135,136,134,134,132,133,132,
132,132,131,132,131,132,132,131,131,130,130,128,127,124,123,122,119,118,115,113,110,109,108,106,
106,103,104,102,104,103,105,104,106,106,107,109,110,112,112,115,115,118,118,120,119,121,120,121,
119,120,117,117,114,113,110,109,106,105,103,102,101, 99, 99, 99, 99, 99, 99,100,100,101,102,104,
106,107,109,112,113,117,119,122,122,125,125,128,127,129,128,129,127,128,127,128,127,129,127,129,
128,130,130,129,131,131,131,131,131,132,131,132,131,131,132,131,132,131,131,131,130,128,128,126,
126,124,123,121,119,119,116,117,114,115,114,115,115,115,117,117,119,120,122,124,125,127,130,130,
133,133,137,138,141,141,144,145,145,148,147,149,148,148,146,145,144,141,140,137,135,132,131,129,
128,127,126,126,125,126,126,127,128,128,128,130,130,132,133,135,135,138,138,141,142,143,144,144,
145,145,145,144,145,144,144,144,144,143,144,143,144,142,144,143,143,143,144,143,144,143,144,144,
145,145,146,147,145,147,145,146,143,143,140,137,136,132,130,127,126,123,120,120,117,117,115,115,
115,113,114,114,115,114,115,115,116,117,118,120,121,123,124,126,127,128,128,128,128,126,126,124,
124,122,121,118,118,115,115,113,113,111,111,109,110,109,109,108,108,107,106,107,107,108,108,109,
109,110,110,111,111,113,113,113,114,114,112,114,113,112,112,111,111,110,110,111,112,112,113,112,
114,114,117,116,119,119,122,122,125,126,129,130,132,134,134,136,135,137,136,134,134,133,131,128,
127,124,123,120,119,117,116,114,114,111,111,110,109,109,108,109,109,110,112,112,115,116,119,120,
123,125,128,130,130,133,133,133,135,134,135,136,135,137,138,138,139,140,141,140,141,141,140,140,
139,138,137,136,137,136,136,136,136,135,137,137,139,139,140,140,141,141,139,140,138,139,137,137,
135,136,136,136,135,136,135,136,136,137,137,138,139,139,140,141,142,142,144,144,146,146,148,149,
149,151,150,152,150,151,151,151,148,148,146,146,143,144,142,140,138,136,134,131,131,128,128,125,
124,124,123,123,122,122,122,122,123,123,124,124,125,126,127,127,127,127,128,127,128,127,127,127,
126,127,125,126,125,125,125,124,125,123,124,122,124,123,123,123,123,124,123,124,126,125,127,127,
127,127,127,127,125,126,123,123,121,121,119,119,118,116,116,115,115,114,115,113,114,112,113,112,
114,112,114,113,115,116,116,118,120,120,122,122,124,126,126,126,127,127,128,128,128,127,127,126,
125,124,122,122,120,119,118,115,115,112,113,111,109,108,107,106,105,106,105,106,105,106,106,108,
107,110,109,111,110,111,110,112,111,112,111,112,112,113,113,114,115,116,118,119,121,123,124,126,
127,129,130,131,133,133,135,135,136,138,138,138,138,138,137,137,136,137,136,134,134,134,133,133,
131,132,132,131,131,130,131,131,132,132,132,132,134,134,136,136,139,140,141,142,145,145,148,148,
150,150,150,150,150,150,148,149,147,148,147,147,147,146,145,145,143,143,142,142,140,140,138,137,
137,134,135,134,132,132,131,132,130,131,129,130,128,128,127,126,126,125,125,124,124,124,123,124,
123,123,123,122,123,123,123,123,124,122,124,123,124,124,124,125,125,126,127,127,128,128,129,130,
129,129,129,128,128,129,127,128,126,128,127,126,126,125,125,123,125,122,123,122,121,121,121,121,
121,120,121,122,121,123,124,124,126,125,127,127,126,128,126,128,127,128,128,130,129,131,130,132,
131,133,132,133,133,131,132,130,131,128,129,128,126,126,125,125,123,123,122,119,119,116,115,114,
111,111,109,108,107,107,107,108,106,107,106,107,106,107,108,107,106,106,107,105,107,106,109,108,
111,111,114,115,118,120,122,123,125,126,127,128,128,128,127,128,127,128,127,127,127,127,126,127,
125,126,125,125,125,124,125,124,124,124,124,125,126,125,127,127,129,129,131,131,133,133,135,135,
137,137,139,139,141,141,142,143,143,144,144,145,146,145,146,145,146,145,146,145,146,146,145,146,
146,145,146,145,145,146,144,145,143,144,141,142,140,140,138,139,136,136,134,134,133,131,131,128,
129,126,126,123,124,121,122,120,120,120,120,119,121,120,122,121,123,124,123,125,124,125,124,126,
126,126,127,128,127,129,128,129,128,129,130,128,129,127,128,126,126,124,125,123,122,122,121,121,
120,121,120,121,120,121,119,121,120,121,121,121,122,122,123,123,124,125,124,126,126,126,128,127,
129,129,131,131,132,132,132,133,133,134,134,135,135,137,137,137,138,138,138,138,138,137,136,135,
134,132,132,130,129,127,125,125,123,123,121,120,121,119,119,118,118,115,116,114,115,114,113,113,
112,113,113,114,114,113,114,114,116,118,117,120,120,123,122,125,125,127,127,127,128,127,129,127,
129,127,126,126,126,123,124,122,123,121,121,122,122,121,122,121,121,121,119,121,119,121,121,121,
121,122,123,124,123,126,125,127,127,128,128,129,129,129,130,130,130,130,131,131,132,132,134,136,
135,137,138,138,139,139,139,139,140,140,141,141,140,142,140,142,140,140,140,139,138,138,136,135,
135,133,133,131,130,129,127,127,126,126,125,125,124,124,123,124,123,124,123,125,125,125,126,126,
127,128,127,129,128,129,130,129,130,130,130,128,129,128,128,128,127,128,127,128,127,129,129,128,
128,127,126,126,125,125,123,124,123,122,123,124,122,124,123,124,123,124,123,124,124,124,125,123,
124,123,124,123,124,123,126,126,128,128,128,130,129,131,131,131,132,132,133,135,135,135,137,138,
138,139,139,138,139,137,138,135,136,133,133,131,130,127,127,125,125,124,123,124,123,122,122,121,
121,120,120,119,119,118,119,118,119,119,120,121,120,122,121,123,124,124,126,126,128,128,128,129,
129,130,130,130,130,131,132,131,130,131,130,130,128,129,127,127,125,126,125,125,123,124,122,123,
121,121,120,121,120,120,121,119,121,120,119,120,120,120,120,121,121,121,121,122,123,122,123,124,
123,125,124,125,124,126,125,128,126,128,128,128,129,129,130,131,131,131,132,130,131,129,130,129,
128,128,127,128,128,126,127,127,126,126,125,123,123,122,121,121,119,121,119,120,119,119,120,119,
120,120,121,120,122,121,123,123,122,123,123,123,123,124,125,124,126,125,126,126,127,126,127,127,
128,128,127,129,128,130,128,130,129,130,129,129,130,129,131,130,131,131,131,129,130,128,129,127,
128,128,127,127,126,127,126,127,126,127,126,127,126,127,127,128,127,129,129,131,130,133,132,135,
136,137,139,140,142,142,142,142,143,141,142,140,141,139,139,137,137,136,134,133,132,130,130,128,
128,127,127,126,126,125,125,126,124,125,124,125,124,125,124,125,125,125,126,124,126,125,127,126,
128,129,130,130,131,131,133,132,134,133,134,135,134,136,135,137,135,137,136,138,137,138,138,137,
138,136,137,134,135,133,133,131,131,131,131,129,130,129,130,129,130,129,129,129,128,129,128,129,
127,129,128,129,128,129,129,128,129,129,130,130,130,129,130,129,131,129,131,129,131,130,130,130,
129,129,130,129,129,128,128,127,127,126,126,125,124,123,123,123,122,122,120,119,120,118,119,117,
117,116,115,114,114,111,112,111,111,111,111,112,111,112,113,112,113,112,113,114,114,115,114,115,
116,118,118,119,119,119,121,121,121,122,121,122,121,121,121,120,121,119,121,119,121,120,122,122,
121,123,122,123,122,123,122,123,122,122,123,122,124,123,124,125,124,126,127,126,128,127,128,128,
127,128,127,128,128,128,128,129,131,131,133,133,135,136,136,137,136,138,138,138,137,138,137,138,
136,137,135,136,135,134,134,133,133,132,130,130,128,127,127,124,125,122,123,122,121,122,122,121,
122,121,122,123,123,124,124,125,126,128,128,130,130,130,132,132,134,133,135,134,136,135,137,136,
136,136,137,135,136,135,136,134,135,134,135,134,133,134,133,132,132,131,132,132,132,133,133,132,
133,133,134,134,135,134,135,135,134,135,135,133,134,133,133,133,132,133,133,134,133,134,133,135,
134,135,135,134,135,134,135,136,134,136,134,136,134,135,135,133,134,132,132,130,130,128,128,126,
126,124,123,122,122,119,119,117,117,115,116,115,113,113,112,113,111,113,113,112,113,113,114,115,
115,114,115,115,116,115,116,116,116,116,116,115,116,116,115,115,115,115,114,115,113,114,113,114,
113,115,114,116,116,117,117,118,119,119,120,121,120,122,121,122,121,122,121,121,121,120,121,119,
121,119,121,119,121,121,120,122,121,123,123,124,125,127,128,130,131,132,134,135,137,139,138,141,
141,142,141,142,141,141,140,140,140,138,138,136,137,136,135,135,134,134,134,133,131,131,130,130,
129,129,128,127,128,127,128,128,127,129,128,129,128,130,129,130,130,130,130,130,130,131,131,131,
132,131,133,133,133,134,135,134,135,135,134,136,135,137,137,137,136,137,135,137,135,136,135,136,
135,135,135,134,133,133,133,132,133,131,132,132,131,131,132,130,131,130,131,130,131,130,131,132,
131,133,133,133,134,136,135,137,137,138,139,139,140,140,141,141,140,141,140,140,139,138,138,136,
135,135,133,133,132,130,130,128,129,128,126,127,125,126,124,125,123,125,123,124,123,123,122,122,
122,120,120,118,119,117,117,115,116,114,115,113,114,112,113,112,112,111,112,111,112,111,112,112,
112,112,113,113,114,115,116,116,117,117,118,117,118,117,118,116,117,115,116,114,113,113,112,112,
112,110,111,109,110,108,109,109,110,110,111,112,111,113,113,115,115,118,118,121,121,124,124,127,
127,129,129,131,130,131,130,131,130,130,130,130,130,128,129,128,128,129,128,130,128,131,129,131,
130,132,131,133,132,133,132,134,133,134,132,133,132,132,131,131,131,129,130,128,128,128,127,127,
126,127,126,127,126,128,127,129,130,130,132,133,135,136,138,139,141,143,143,145,144,146,145,145,
145,143,144,141,141,139,138,136,135,134,133,132,131,131,129,130,128,129,128,129,129,130,129,131,
132,133,134,135,137,138,139,139,141,140,142,140,142,140,141,139,141,139,139,138,137,137,136,136,
134,135,133,134,133,134,133,135,134,134,135,136,135,137,136,138,137,139,138,139,138,138,138,137,
137,135,134,132,132,129,128,126,125,122,122,119,119,118,117,117,117,117,117,118,118,119,119,121,
121,123,122,125,124,126,127,127,128,126,127,126,125,125,124,122,121,120,118,117,115,114,112,111,
111,109,109,108,108,107,108,107,108,108,109,109,110,111,112,113,112,113,113,114,113,114,114,113,
114,112,114,113,114,113,115,113,115,113,114,114,113,114,114,114,115,115,116,117,117,120,119,123,
122,125,125,128,127,130,129,130,130,128,129,127,128,125,126,122,123,120,119,118,117,116,115,115,
114,115,115,115,114,117,117,118,120,121,123,125,127,129,131,132,134,135,137,139,139,141,142,142,
142,142,143,140,141,138,139,137,136,135,133,133,131,131,130,131,130,130,131,132,133,135,134,136,
136,137,138,139,139,140,139,140,139,139,139,138,139,136,137,134,135,132,133,132,131,131,130,131,
130,132,131,133,132,135,135,137,136,140,139,143,142,145,145,145,146,145,146,144,145,143,142,141,
139,138,137,134,134,131,131,129,128,126,126,124,124,123,123,123,122,124,123,126,125,128,127,130,
129,131,131,132,132,132,132,132,132,131,132,130,131,129,130,127,128,125,125,124,123,123,121,122,
120,121,120,122,120,123,123,124,125,126,128,129,128,130,129,130,130,130,129,128,127,126,125,123,
122,120,118,117,115,114,113,113,113,113,111,113,112,114,113,116,117,118,120,121,123,125,125,128,
127,129,129,130,130,130,130,130,130,130,128,128,126,125,124,122,121,118,118,116,115,113,113,112,
112,111,111,112,111,113,112,115,115,117,117,119,118,120,121,120,122,121,122,121,123,122,121,121,
121,121,122,120,122,120,122,121,122,122,121,123,122,124,124,125,127,128,129,132,131,134,135,136,
136,136,137,137,136,137,136,136,135,135,135,132,133,131,129,129,127,127,125,124,125,124,124,124,
124,127,127,130,129,133,133,136,136,139,140,141,141,142,142,143,143,144,143,143,143,142,142,139,
139,137,135,134,133,132,130,130,129,129,128,128,128,129,127,130,129,131,130,132,131,133,133,133,
134,133,134,132,133,131,132,129,130,127,128,125,125,123,123,121,122,121,120,121,120,122,121,123,
123,125,125,126,127,128,130,131,130,131,131,131,131,131,131,130,131,129,130,128,129,127,126,125,
123,122,120,120,118,117,117,116,116,116,116,117,118,120,120,124,124,127,127,131,131,134,135,134,
136,136,136,137,136,136,135,134,133,132,131,130,130,128,128,127,126,126,125,124,124,124,124,124,
125,125,126,126,127,126,127,126,127,126,127,126,125,125,124,124,123,122,121,118,119,115,116,113,
113,112,112,110,111,110,111,111,112,114,113,117,116,120,119,123,122,125,126,126,128,127,129,128,
130,129,129,127,128,127,126,125,123,122,121,120,119,119,117,117,116,117,116,117,116,118,117,120,
119,123,122,126,127,129,129,132,132,134,134,135,136,135,137,136,137,136,136,134,135,133,134,132,
132,131,131,130,131,130,130,130,131,131,132,134,133,136,136,137,138,139,138,140,139,140,139,140,
139,139,139,138,137,134,135,132,131,129,128,127,125,124,122,122,120,121,120,121,120,122,122,125,
125,126,128,128,130,131,132,133,133,135,134,135,134,134,134,132,132,129,130,127,127,124,125,124,
122,122,121,121,120,121,120,121,120,122,122,124,124,126,125,127,126,129,128,130,130,131,133,132,
133,132,134,132,133,131,132,130,131,128,129,127,128,128,126,128,127,129,128,131,130,133,133,134,
135,135,136,138,137,138,138,139,138,139,138,137,137,136,136,133,134,131,131,129,128,127,125,124,
123,122,119,119,117,117,118,118,119,120,121,123,123,125,126,127,127,127,127,129,128,129,129,130,
129,129,129,128,127,125,123,122,120,120,118,118,117,117,115,116,114,115,116,117,118,119,118,120,
120,120,119,121,120,121,121,120,120,118,119,118,118,117,120,120,123,123,126,126,129,129,131,130,
131,131,132,133,135,137,136,140,140,144,146,148,150,152,155,156,157,156,157,155,156,153,151,149,
147,143,141,137,135,131,126,124,120,119,117,118,116,117,115,115,114,114,114,115,118,121,125,128,
132,133,135,134,135,135,134,135,134,135,133,132,130,125,121,117,113,110,106,104,100, 98, 95, 93,
 90, 88, 87, 86, 86, 88, 88, 90, 90, 93, 94, 97, 99,103,105,109,112,116,118,120,121,122,122,122,
122,120,119,117,116,114,113,111,110,108,106,106,107,107,107,107,109,109,111,112,114,115,117,117,
119,119,121,122,124,124,127,129,129,131,131,131,130,130,129,127,127,125,124,123,120,120,118,118,
116,118,117,117,117,117,115,116,116,117,118,119,121,122,126,128,132,135,138,140,144,144,147,146,
147,146,146,146,144,144,142,142,139,139,138,139,140,142,144,147,150,154,158,162,166,168,171,173,
173,172,173,170,171,169,167,167,165,164,163,160,159,155,154,149,146,140,136,131,126,124,119,118,
115,113,112,110,109,107,108,108,110,112,112,115,116,119,119,122,123,126,126,127,127,125,126,125,
125,122,123,122,121,120,119,120,119,120,119,119,118,121,121,126,128,134,137,144,147,153,156,161,
163,168,170,174,174,175,173,172,168,166,163,160,161,160,160,161,160,160,157,156,155,153,153,152,
152,151,151,150,150,149,148,148,146,147,146,147,148,148,147,148,147,147,146,145,144,143,141,139,
136,132,126,122,116,111,107,102, 96, 93, 88, 84, 80, 77, 72, 71, 68, 68, 67, 67, 68, 70, 72, 76,
 79, 84, 88, 91, 94, 98, 99,101,102,103,102,102,101,101,101,100, 98, 96, 96, 95, 96, 97, 98, 99,
101,101,102,102,103,104,104,103,103,102,102,101,101, 99,101,100,100,101,101,103,105,105,106,109,
110,113,115,116,118,119,121,123,123,123,123,122,122,121,119,120,118,120,119,121,121,124,126,127,
131,133,137,140,141,144,145,146,146,146,144,143,141,136,134,129,127,124,121,121,119,121,121,124,
125,131,135,140,147,152,158,162,167,170,173,175,179,180,184,184,186,185,186,184,184,182,182,178,
177,174,173,169,167,164,161,159,154,152,148,147,142,142,138,137,134,134,132,129,129,127,127,125,
125,122,121,118,117,115,113,112,110,110,108,108,105,103, 99, 98, 95, 96, 94, 95, 94, 92, 92, 91,
 91, 91, 92, 94, 99,103,109,115,119,125,129,131,135,137,138,140,141,143,144,143,144,143,141,141,
140,141,141,142,142,142,144,146,146,149,150,153,155,157,158,161,160,162,161,162,162,161,162,163,
162,164,164,165,165,165,165,165,163,163,160,159,155,153,150,146,143,138,135,131,126,122,116,111,
106,103, 98, 97, 95, 93, 91, 92, 91, 92, 93, 95, 96, 98, 99,101,101,101,102,100,100, 97, 95, 93,
 90, 89, 86, 85, 82, 82, 81, 82, 80, 82, 83, 85, 86, 87, 89, 89, 91, 91, 91, 92, 91, 92, 92, 91,
 93, 91, 93, 93, 94, 96, 97,100,102,105,106,110,112,116,119,121,123,124,126,125,126,125,125,123,
123,121,120,117,116,114,114,113,114,114,117,117,121,120,124,125,126,128,129,130,130,127,126,123,
120,116,113,109,107,106,104,103,105,106,109,111,115,118,123,127,134,138,144,148,153,155,160,161,
164,164,166,166,168,168,170,171,170,170,169,170,169,171,169,170,167,166,163,160,158,156,155,153,
153,152,152,150,150,148,146,145,143,142,141,140,138,137,134,132,129,124,122,118,117,115,115,114,
114,112,111,107,104,102, 97, 96, 93, 92, 89, 90, 89, 90, 90, 94, 97, 99,105,107,111,114,116,119,
121,121,123,122,123,122,121,122,121,120,120,119,121,121,123,126,129,134,136,141,143,147,149,153,
154,154,156,155,156,155,157,156,158,157,160,161,162,162,163,163,165,166,167,169,170,170,171,170,
170,168,166,164,161,158,154,149,145,139,135,130,125,122,118,117,115,116,116,117,118,118,121,121,
123,122,123,122,122,120,120,117,116,114,110,109,106,106,104,104,102,102,102,102,102,104,103,105,
104,105,105,106,106,106,105,104,103, 99, 99, 96, 94, 93, 91, 91, 90, 91, 91, 92, 94, 96, 99,101,
104,107,110,114,116,118,120,121,121,121,122,122,120,121,118,118,117,115,117,116,118,119,121,124,
127,130,132,133,135,135,133,133,131,128,127,123,121,119,115,114,112,111,112,112,115,117,118,122,
125,130,133,138,142,146,150,154,157,158,161,160,162,161,163,164,167,168,171,172,174,172,173,172,
171,171,169,170,169,170,167,167,163,162,160,159,159,158,159,157,158,156,155,152,151,146,145,142,
140,136,136,134,134,132,132,132,130,131,129,129,127,123,120,116,111,109,103,102, 98, 98, 97, 96,
 97, 97,100,101,103,107,109,112,115,115,118,119,119,120,119,120,119,119,117,116,113,114,113,115,
115,119,120,124,125,129,130,133,135,136,138,138,140,139,141,140,141,138,139,138,138,137,138,138,
139,141,143,144,148,150,154,156,160,163,166,168,169,170,170,168,167,164,162,158,155,151,147,143,
139,134,133,129,128,125,125,124,123,124,124,124,124,122,122,119,119,118,114,114,110,109,106,105,
102,100, 99, 97, 96, 95, 96, 95, 96, 97, 98, 97, 99, 98, 99, 97, 98, 97, 95, 94, 91, 90, 88, 87,
 84, 84, 82, 83, 82, 84, 85, 87, 88, 89, 91, 93, 95, 99,102,104,107,108,110,109,109,106,106,102,
102, 98, 96, 95, 93, 93, 93, 94, 95, 98,101,106,108,113,115,118,119,119,118,118,116,116,113,113,
112,110,107,107,105,105,106,109,111,116,119,123,125,127,130,131,133,134,137,139,142,144,147,148,
151,151,153,154,157,159,162,163,166,166,168,167,167,166,165,164,163,162,161,160,159,157,158,156,
157,156,155,155,153,151,149,147,144,143,141,141,140,141,142,142,143,143,145,146,145,144,144,142,
140,137,136,133,130,128,124,124,121,121,119,119,118,119,120,121,123,125,128,129,130,131,130,130,
128,128,125,125,124,123,121,122,121,123,123,124,126,127,131,133,134,137,138,140,141,141,143,142,
143,141,141,139,140,138,138,137,136,135,134,134,134,136,137,137,140,141,144,146,149,150,153,154,
155,156,154,153,150,148,145,139,136,130,127,122,120,116,115,112,112,111,113,112,114,114,116,116,
118,119,118,120,118,118,116,116,114,114,112,113,111,110,108,108,108,107,108,108,108,109,109,109,
108,107,106,104,104,103,102,100, 98, 98, 96, 96, 93, 93, 92, 92, 91, 93, 93, 97, 98,102,103,106,
109,111,114,115,118,117,118,114,112,107,104, 99, 97, 93, 93, 92, 93, 92, 93, 93, 96, 98,101,104,
109,113,114,118,117,118,117,115,113,112,109,109,107,108,107,108,107,108,108,110,110,112,113,116,
117,120,122,122,125,125,128,130,133,135,139,141,145,150,152,158,160,165,168,170,173,173,175,175,
173,174,172,172,171,171,170,171,171,169,170,168,166,165,164,161,160,157,156,155,154,155,154,156,
157,157,159,159,161,161,161,160,160,158,157,156,152,149,144,141,137,131,129,126,123,121,120,120,
120,122,123,126,127,130,130,133,132,134,134,135,133,134,132,134,133,133,134,134,136,137,137,139,
139,141,141,142,142,143,142,142,142,140,140,138,137,135,133,132,130,130,128,126,126,124,125,125,
126,127,130,134,135,141,144,149,153,156,157,159,159,159,158,156,153,150,146,140,137,131,129,125,
122,121,118,119,118,117,118,117,118,118,120,120,121,122,121,121,119,119,116,116,113,113,111,109,
110,109,108,106,104,103,100, 99, 98, 97, 96, 95, 95, 93, 90, 89, 87, 87, 84, 85, 83, 83, 81, 81,
 79, 79, 77, 79, 79, 83, 85, 90, 93, 97,100,102,104,104,107,106,108,107,105,104,101, 96, 94, 88,
 86, 83, 81, 82, 81, 84, 84, 88, 90, 95, 97,101,103,107,107,110,110,112,110,111,111,109,110,108,
109,109,108,109,110,111,113,113,116,116,119,120,123,125,125,128,130,132,136,139,143,149,152,159,
163,167,172,175,178,181,181,183,182,182,182,181,179,179,178,178,178,175,175,171,171,167,166,163,
162,158,157,154,153,151,151,151,152,152,154,155,157,160,161,164,164,166,167,165,165,162,161,156,
153,147,144,138,136,130,128,124,123,121,122,122,122,124,124,126,126,127,129,130,130,132,132,131,
132,132,131,133,132,134,134,134,136,137,139,139,141,141,142,140,141,139,140,139,137,137,136,135,
133,132,129,129,127,125,125,124,125,125,127,128,131,134,138,141,144,149,152,157,158,160,160,160,
158,156,152,149,145,141,136,132,127,123,117,113,111,108,108,107,107,109,108,110,109,109,109,109,
110,110,111,110,110,108,108,105,105,102,103, 99, 99, 96, 93, 91, 87, 85, 81, 79, 79, 77, 78, 79,
 78, 79, 78, 76, 75, 74, 73, 73, 71, 73, 73, 74, 75, 75, 77, 79, 80, 84, 86, 90, 93, 97, 99,102,
103,104,103,102,102, 98, 97, 94, 91, 88, 87, 85, 85, 85, 86, 88, 90, 94, 97,101,105,109,114,118,
121,125,127,130,131,133,132,132,132,130,131,129,130,129,130,129,129,129,129,130,130,129,128,129,
127,129,128,132,133,137,139,145,148,154,158,161,165,168,171,173,176,177,180,180,180,178,179,178,
177,175,175,173,171,170,168,168,166,165,162,161,158,156,153,152,149,149,148,149,149,150,152,154,
155,158,159,162,164,163,164,161,161,156,154,148,144,140,135,132,129,128,126,125,123,121,122,121,
121,120,120,119,119,119,120,121,122,121,121,121,123,125,126,129,130,134,138,140,145,147,149,150,
150,150,150,151,150,150,145,143,138,136,130,127,119,115,109,106,103,103,102,106,106,111,113,120,
125,132,137,144,152,161,169,179,187,190,194,193,192,190,187,183,177,171,162,153,142,132,119,108,
 95, 87, 78, 76, 72, 73, 72, 70, 72, 74, 78, 82, 87, 93, 97,104,110,116,122,127,129,130,131,129,
130,128,129,125,123,118,111,106, 97, 89, 79, 68, 59, 52, 48, 45, 42, 42, 40, 43, 45, 51, 56, 64,
 71, 80, 89, 99,111,122,132,141,148,153,157,158,161,159,158,154,150,144,135,124,110, 97, 83, 74,
 64, 60, 55, 52, 52, 52, 56, 62, 68, 78, 85, 93, 99,108,117,127,136,144,149,154,159,163,167,169,
171,172,171,172,170,166,159,149,137,129,119,114,108,103,101, 98, 98, 98,102,107,112,118,123,130,
139,148,157,168,177,184,192,196,201,202,205,204,206,206,205,202,198,190,179,168,155,146,135,128,
120,115,109,106,106,109,115,121,125,132,137,147,156,166,174,181,187,190,193,193,191,189,186,180,
176,173,166,159,149,140,128,119,109,102, 95, 87, 81, 76, 75, 75, 78, 83, 85, 91, 94,100,106,114,
121,129,136,142,147,152,156,157,159,161,163,165,168,168,166,163,155,147,137,130,123,117,110,104,
 99, 98, 97,100,101,104,107,111,118,125,133,143,151,159,166,173,177,181,182,182,184,182,182,178,
174,167,156,145,132,120,111,102, 94, 86, 78, 75, 71, 72, 74, 76, 79, 83, 86, 94,100,109,116,124,
130,136,141,145,146,146,144,144,144,141,141,136,132,124,113,103, 92, 85, 75, 67, 60, 53, 49, 47,
 46, 45, 46, 45, 46, 48, 53, 59, 64, 72, 79, 88, 97,105,111,117,122,126,131,133,137,139,141,138,
134,127,117,111,100, 92, 81, 70, 63, 57, 55, 54, 55, 57, 61, 66, 75, 84, 95,105,114,125,134,143,
150,156,160,163,166,167,171,174,176,177,173,169,161,154,145,137,127,115,107, 99, 95, 92, 89, 90,
 90, 93, 98,104,113,121,132,141,153,164,176,184,194,199,205,208,213,215,220,221,221,217,213,206,
200,192,183,172,161,149,139,131,125,119,113,109,108,107,110,114,117,125,132,143,152,163,173,181,
188,190,194,196,198,199,199,194,190,182,174,166,154,144,130,118,109,100, 95, 90, 86, 82, 80, 79,
 81, 85, 88, 94,100,108,114,123,130,137,141,144,147,148,153,156,158,161,160,159,156,153,149,142,
136,128,121,114,107,103, 96, 92, 87, 85, 85, 85, 88, 90, 93, 97,103,108,117,123,130,137,144,149,
158,163,172,177,181,183,183,183,181,178,171,161,153,142,135,127,120,115,107,104, 98, 97, 96, 96,
 97, 98,102,105,112,117,123,127,129,132,133,136,137,140,140,139,136,133,128,123,115,107, 97, 88,
 78, 71, 64, 59, 55, 52, 50, 50, 49, 52, 52, 56, 58, 61, 65, 72, 78, 83, 89, 94, 98,103,110,115,
121,124,126,129,130,132,132,128,123,115,107, 97, 89, 80, 73, 65, 58, 52, 47, 47, 46, 49, 52, 57,
 62, 71, 79, 88, 97,102,109,114,119,125,129,132,135,136,138,140,141,141,139,135,128,123,115,110,
104, 97, 93, 89, 85, 87, 86, 91, 92, 98,103,111,121,130,142,149,159,165,173,178,184,187,189,189,
190,190,191,190,189,185,179,172,164,158,149,143,136,130,125,120,118,115,114,113,114,116,122,130,
137,146,154,161,168,176,183,190,196,200,203,206,208,209,209,205,201,192,184,174,165,154,145,134,
122,114,104, 99, 94, 89, 88, 86, 89, 92, 99,105,110,117,122,129,136,142,147,151,153,155,156,156,
157,156,155,154,149,147,142,138,131,127,120,117,112,111,109,110,109,109,111,114,120,125,132,136,
143,148,153,161,168,172,178,182,185,190,194,196,199,198,196,192,188,182,174,167,157,147,137,128,
120,113,107,101, 98, 95, 96,100,104,108,114,120,129,136,145,152,158,163,168,170,175,176,179,178,
175,172,165,159,151,141,131,120,108, 99, 90, 85, 78, 74, 69, 65, 65, 67, 68, 72, 75, 79, 83, 86,
 92, 95,100,101,104,104,107,107,108,110,110,110,108,107,105,101, 97, 90, 83, 76, 69, 64, 56, 51,
 44, 41, 38, 36, 39, 43, 48, 55, 63, 73, 83, 95,105,115,126,133,141,147,154,158,164,165,167,167,
165,162,155,149,140,131,120,113,103, 96, 87, 80, 72, 68, 63, 64, 64, 68, 72, 80, 87, 97,107,116,
127,134,143,150,160,167,174,181,186,189,192,193,194,193,190,185,182,177,174,170,163,159,153,148,
145,142,142,141,140,142,142,144,148,150,156,158,163,164,170,173,178,180,181,182,181,181,179,174,
169,162,152,141,130,120,109,100, 90, 82, 74, 70, 66, 66, 65, 67, 72, 77, 85, 92,103,111,122,129,
138,144,152,157,164,168,171,173,175,173,172,167,160,152,145,136,128,120,110,104, 96, 92, 87, 87,
 85, 86, 86, 89, 91, 97,102,106,113,116,121,125,130,135,141,145,151,154,160,163,167,169,169,169,
167,164,161,157,153,148,143,138,134,130,129,126,126,125,128,130,135,139,145,148,153,156,161,164,
170,172,174,177,178,179,179,176,172,166,158,148,139,129,117,107, 94, 85, 75, 66, 60, 55, 50, 50,
 48, 51, 55, 62, 70, 75, 83, 87, 94, 99,103,107,109,111,112,115,116,118,118,119,117,117,114,113,
110,106,103, 98, 92, 86, 79, 75, 68, 64, 59, 55, 55, 55, 59, 63, 66, 71, 74, 79, 84, 89, 94, 99,
102,108,111,116,118,119,120,119,118,116,114,112,110,108,102, 99, 93, 90, 86, 84, 80, 81, 80, 84,
 88, 92, 99,104,111,118,127,134,143,148,156,160,167,171,175,178,179,178,177,174,169,166,160,155,
147,141,134,131,127,125,121,120,118,119,119,123,125,130,134,137,143,148,152,157,160,164,168,173,
178,183,187,191,193,193,194,192,191,189,184,180,174,168,162,155,149,142,136,131,129,127,127,127,
129,130,133,136,139,139,142,142,146,146,149,149,153,154,154,154,152,149,146,141,137,129,123,116,
109,105,101, 97, 95, 94, 95, 97,103,108,115,122,129,136,143,148,153,157,161,164,167,169,173,174,
177,176,176,174,172,171,167,164,158,152,146,140,135,128,123,116,112,109,106,106,106,109,110,114,
118,120,123,126,128,131,134,137,142,146,151,153,157,159,160,161,159,158,153,149,142,137,130,124,
117,110,104, 99, 96, 93, 93, 93, 96,100,104,111,115,121,125,128,132,132,135,135,136,133,130,123,
119,112,107,101, 93, 88, 81, 74, 69, 63, 58, 52, 47, 42, 39, 37, 37, 37, 41, 44, 49, 53, 58, 65,
 72, 79, 86, 94,102,109,116,124,129,134,137,141,143,146,145,145,141,138,133,128,123,117,111,106,
 99, 95, 89, 86, 81, 80, 78, 79, 80, 82, 84, 87, 89, 91, 95, 97,103,106,112,117,121,126,129,134,
135,137,135,133,131,128,126,123,121,118,117,116,116,117,120,125,129,137,143,151,159,164,172,176,
182,185,191,194,199,201,205,205,207,206,207,204,202,198,192,188,182,175,169,162,153,147,138,131,
124,117,113,109,108,107,107,111,113,117,120,122,127,130,137,140,146,149,155,159,165,168,171,172,
172,172,170,167,163,158,152,145,137,130,123,119,114,113,110,112,114,118,122,127,130,135,137,141,
145,146,147,148,147,147,146,145,143,140,138,135,130,128,123,120,115,113,108,105,101, 98, 97, 96,
 97, 99,104,109,117,123,131,137,145,151,156,163,168,173,178,181,187,189,193,193,195,193,192,188,
185,179,173,166,156,148,137,127,117,106, 97, 88, 82, 76, 74, 72, 71, 72, 72, 75, 79, 83, 90, 95,
102,105,111,112,116,116,118,116,116,113,111,108,103,100, 94, 91, 85, 83, 80, 77, 76, 75, 75, 76,
 77, 81, 85, 88, 93, 97,100,105,108,110,114,114,118,118,121,121,122,120,119,116,111,107,100, 95,
 88, 83, 75, 70, 63, 59, 53, 50, 44, 44, 43, 47, 50, 55, 61, 67, 73, 80, 86, 94,100,108,115,123,
130,136,144,151,156,162,164,168,170,171,170,168,164,160,154,148,140,135,128,124,119,118,119,120,
124,127,132,135,141,144,149,152,157,160,164,166,169,173,174,176,175,175,174,173,171,168,165,161,
157,155,150,147,142,140,136,135,134,136,137,141,144,147,153,158,162,168,172,177,181,184,187,190,
193,193,194,192,192,188,186,182,175,169,159,152,141,130,120,107, 96, 85, 77, 70, 64, 62, 61, 62,
 65, 70, 76, 83, 92,100,109,118,127,136,145,153,160,165,169,172,175,176,177,176,175,172,169,164,
160,154,146,141,133,130,125,124,122,124,124,127,130,132,136,138,142,143,146,149,151,153,153,154,
154,152,153,152,149,148,143,140,135,131,124,120,113,108,102, 97, 93, 90, 85, 85, 83, 84, 85, 87,
 93, 98,105,110,119,125,134,141,150,157,164,169,173,174,175,172,169,162,154,146,135,124,111,100,
 86, 74, 62, 51, 43, 35, 31, 29, 27, 28, 28, 31, 33, 37, 39, 45, 50, 57, 63, 71, 77, 84, 89, 96,
100,105,108,111,111,113,112,110,108,104,101, 96, 90, 87, 83, 81, 81, 81, 83, 85, 90, 94, 99,103,
109,112,117,121,125,129,131,134,136,138,139,140,140,140,138,137,134,131,126,122,114,108, 99, 90,
 83, 76, 72, 70, 67, 70, 72, 79, 86, 93,103,113,123,135,146,157,169,178,190,198,208,213,220,223,
227,228,227,227,223,221,215,209,201,192,182,174,164,156,148,142,136,134,132,130,130,129,131,132,
134,136,140,142,145,148,150,154,157,157,160,160,162,162,162,162,162,159,157,151,146,139,134,128,
123,118,115,111,111,111,112,114,117,121,126,131,139,145,153,159,167,172,176,180,182,183,182,181,
178,175,169,165,156,147,137,126,116,105, 96, 86, 79, 73, 68, 67, 67, 69, 72, 78, 84, 92,100,108,
116,124,134,142,153,162,170,178,184,188,191,194,196,196,196,194,191,188,182,177,171,164,156,150,
143,138,132,129,123,121,116,113,110,106,103,103,102,103,105,107,109,111,113,113,115,114,116,116,
115,113,109,103, 96, 88, 81, 71, 64, 58, 52, 49, 46, 47, 47, 51, 54, 60, 64, 71, 78, 84, 92, 99,
108,115,123,128,135,138,142,144,145,145,144,141,138,132,126,117,108, 97, 87, 75, 65, 55, 49, 42,
 38, 35, 35, 35, 37, 39, 44, 48, 54, 60, 68, 76, 83, 91, 99,107,113,120,125,131,137,142,146,149,
151,152,150,150,145,142,138,132,129,124,122,119,119,118,120,122,123,128,131,137,142,147,154,160,
168,173,179,182,186,187,189,188,188,185,183,179,175,169,161,154,144,136,128,122,116,111,109,108,
109,111,114,120,125,131,139,146,155,164,173,181,190,196,203,207,212,214,217,216,217,215,214,209,
203,197,188,181,171,160,151,140,131,121,114,105,100, 93, 90, 86, 85, 85, 84, 87, 89, 94, 98,105,
111,118,124,131,137,141,146,150,153,156,157,159,156,155,151,145,140,135,130,127,124,122,123,124,
127,129,132,135,138,142,146,153,158,165,171,175,180,182,183,183,181,180,177,172,168,162,153,145,
135,124,113,104, 94, 87, 81, 75, 72, 69, 68, 68, 70, 71, 73, 76, 79, 84, 88, 94,101,106,114,120,
129,135,143,148,156,161,167,170,170,170,167,161,155,145,136,127,115,106, 96, 88, 80, 76, 70, 67,
 63, 62, 59, 60, 61, 61, 65, 66, 70, 73, 77, 80, 82, 85, 88, 90, 94, 95, 98, 98, 97, 96, 92, 89,
 83, 78, 73, 66, 62, 57, 55, 54, 56, 58, 60, 66, 70, 77, 83, 91, 98,107,114,123,130,137,143,146,
151,152,156,157,156,157,154,152,147,140,133,125,114,106, 95, 87, 78, 72, 65, 62, 58, 56, 54, 55,
 56, 61, 65, 72, 79, 89, 99,111,121,133,144,153,164,172,183,191,198,204,208,211,211,211,208,205,
200,194,189,182,178,173,171,166,165,163,162,162,161,163,164,167,169,173,175,179,181,183,184,184,
183,182,181,177,175,171,166,163,157,152,145,138,130,125,120,116,113,110,110,108,109,108,110,111,
115,118,125,131,139,146,154,161,168,173,178,182,189,193,198,201,201,202,199,194,188,179,168,158,
146,137,126,116,108,100, 92, 86, 81, 77, 74, 73, 72, 75, 77, 83, 87, 95,102,109,117,124,132,139,
146,151,156,159,161,161,160,158,155,151,147,143,139,135,134,132,133,133,135,135,137,139,139,142,
143,144,146,147,147,148,148,146,147,146,147,146,146,144,142,140,135,131,123,117,107, 99, 89, 81,
 71, 65, 58, 52, 49, 46, 46, 44, 46, 48, 51, 54, 61, 66, 75, 81, 90, 95,104,112,118,126,131,138,
142,147,150,152,150,149,144,140,131,124,115,106, 98, 90, 83, 77, 71, 65, 62, 58, 57, 57, 58, 60,
 62, 66, 69, 74, 78, 83, 87, 92, 95,100,103,107,110,113,113,115,114,111,109,105,103, 98, 96, 94,
 94, 93, 93, 95, 96, 98,100,102,106,109,115,120,127,133,139,147,153,161,167,173,177,183,185,188,
191,191,190,188,182,177,168,161,152,144,137,130,125,120,116,113,110,108,107,107,111,114,121,128,
135,144,152,162,171,178,187,193,201,206,212,214,217,217,215,212,208,202,197,191,187,180,176,170,
166,161,155,150,145,141,137,135,133,131,129,127,126,124,122,122,121,122,122,122,124,125,127,129,
128,129,126,124,121,117,112,109,104,101, 97, 97, 95, 96, 95, 96, 98,100,103,105,111,115,121,127,
134,140,148,154,160,167,173,179,183,188,189,190,187,184,177,170,161,151,140,131,120,113,106, 99,
 95, 92, 89, 89, 88, 90, 91, 94, 96,100,103,108,111,115,118,122,126,129,135,138,144,147,151,152,
155,154,154,151,149,144,141,137,134,131,127,124,121,118,114,113,111,111,110,110,111,110,111,110,
112,110,112,110,111,109,110,109,109,107,106,103,100, 95, 90, 84, 77, 73, 66, 62, 57, 52, 49, 45,
 45, 45, 45, 48, 51, 54, 61, 67, 75, 82, 91, 99,107,116,123,131,137,144,149,154,155,158,157,156,
152,148,141,134,127,121,114,109,103, 97, 93, 89, 84, 81, 78, 75, 75, 74, 76, 76, 79, 81, 86, 88,
 94, 99,105,111,119,126,132,139,145,149,152,153,154,154,154,155,155,156,154,155,153,154,155,154,
156,156,160,161,164,167,169,174,177,183,187,193,197,201,207,208,210,208,208,204,200,194,185,177,
167,159,149,142,133,125,119,113,109,104,103,101,101,101,102,103,107,110,116,120,125,130,134,140,
145,151,156,162,166,172,175,178,178,178,175,174,170,166,163,158,155,149,146,141,136,133,129,126,
121,118,115,111,111,108,108,106,107,107,109,110,113,116,121,125,131,135,138,139,139,139,136,133,
129,126,121,117,115,111,110,108,110,110,114,116,122,126,133,140,145,152,156,162,167,171,175,177,
178,180,181,182,181,177,174,168,162,155,148,139,131,124,114,108, 99, 93, 87, 81, 77, 72, 70, 67,
 67, 68, 68, 70, 72, 76, 80, 85, 89, 94, 99,102,109,113,119,122,126,128,131,131,131,129,129,126,
125,121,119,115,111,109,104,101, 97, 95, 92, 91, 89, 89, 88, 89, 89, 91, 92, 94, 95, 98,101,102,
106,107,109,108,108,105,102, 97, 93, 88, 85, 80, 77, 73, 69, 68, 66, 66, 65, 68, 69, 74, 77, 83,
 87, 91, 97,101,108,113,121,126,134,141,147,155,160,164,170,172,174,174,173,172,168,165,160,156,
151,145,141,136,131,127,124,120,118,114,112,109,109,109,111,113,116,118,124,129,136,143,149,158,
163,169,173,176,177,178,176,176,173,171,168,164,162,159,157,153,153,151,153,154,154,157,158,161,
164,165,168,168,170,170,172,171,171,172,171,171,169,165,161,155,151,145,137,131,125,118,113,107,
104, 99, 96, 94, 94, 93, 94, 95, 98,100,105,108,112,114,119,122,127,132,137,143,149,157,162,169,
173,179,182,184,185,184,183,181,177,172,165,160,151,145,138,133,128,123,120,117,116,114,116,116,
118,119,122,123,126,127,131,133,137,137,139,138,139,137,134,133,129,126,124,121,119,116,113,112,
110,110,110,109,110,110,112,114,117,119,124,127,130,132,135,137,141,142,146,146,148,147,146,143,
139,133,128,121,116,110,103, 97, 89, 84, 76, 72, 67, 62, 57, 55, 52, 51, 49, 49, 48, 50, 52, 53,
 58, 61, 68, 74, 82, 89, 97,103,110,115,121,125,127,130,131,130,131,128,127,123,122,118,117,115,
112,112,110,108,107,105,105,104,103,104,102,102,101,102,102,102,103,103,105,105,107,107,107,105,
104,102, 98, 98, 94, 94, 93, 91, 93, 93, 95, 98,100,104,107,112,115,120,124,129,133,138,143,148,
154,161,167,173,181,187,195,200,203,206,206,207,205,204,199,196,190,183,176,167,160,151,145,138,
134,129,125,123,121,121,121,122,123,125,128,131,135,138,142,147,151,155,158,161,162,162,162,160,
160,157,155,152,150,146,145,142,139,139,137,138,137,140,141,143,146,147,149,150,152,152,153,152,
153,153,152,153,152,150,149,147,144,143,140,138,135,133,128,126,121,116,113,108,105,101, 99, 95,
 95, 94, 95, 97,100,104,109,114,120,127,134,142,150,159,167,173,180,184,187,188,187,188,185,183,
179,174,170,163,158,151,146,140,134,127,122,118,113,111,106,104,101,100, 98, 98, 97, 99,100,102,
105,107,109,110,110,111,110,111,109,108,107,103,101, 96, 94, 91, 88, 88, 86, 87, 86, 88, 89, 92,
 93, 95, 97,100,102,105,107,108,111,112,116,117,121,122,124,127,126,127,124,122,119,114,109,103,
 97, 90, 84, 77, 72, 65, 60, 55, 52, 51, 49, 50, 50, 53, 55, 59, 62, 66, 70, 76, 81, 87, 93,100,
105,112,117,123,126,131,132,135,135,136,134,132,131,128,127,126,125,124,125,126,128,129,131,132,
133,134,136,136,135,137,137,139,139,142,144,145,148,150,150,153,153,156,155,156,154,154,152,150,
149,145,143,139,137,135,134,133,134,134,137,139,143,146,151,155,162,166,174,179,186,191,198,201,
205,206,208,208,206,204,199,195,188,181,174,165,157,147,139,130,123,116,111,106,103,100,101,101,
101,104,106,110,113,116,122,125,131,135,137,141,143,146,148,149,151,150,152,153,152,153,152,153,
151,151,150,148,148,147,147,145,145,143,143,142,143,142,144,144,147,149,154,157,161,163,165,166,
166,167,165,163,158,155,148,144,137,130,124,117,112,107,102,100, 96, 95, 93, 93, 91, 93, 94, 98,
101,106,110,117,123,130,136,143,148,155,159,164,167,169,167,167,163,160,156,149,142,135,128,120,
113,105, 98, 92, 86, 82, 78, 75, 73, 71, 69, 66, 65, 63, 64, 64, 67, 67, 71, 73, 75, 77, 81, 82,
 85, 85, 87, 87, 88, 87, 87, 85, 84, 81, 80, 77, 76, 74, 75, 74, 74, 77, 78, 83, 85, 89, 94, 97,
103,108,112,117,121,125,128,132,134,137,137,137,135,134,130,126,120,113,105, 98, 91, 84, 77, 71,
 68, 65, 64, 62, 64, 66, 69, 73, 76, 82, 87, 93,101,108,117,125,132,140,147,155,162,168,173,178,
183,186,188,190,189,190,188,187,185,181,179,175,170,167,163,158,156,152,150,148,144,145,144,145,
146,148,150,153,155,158,161,163,164,166,166,167,166,163,162,158,155,150,146,140,136,131,127,121,
118,115,114,114,113,115,116,121,124,131,137,145,153,159,168,174,181,186,188,192,192,193,191,189,
186,180,176,169,162,154,148,140,135,128,123,118,112,110,106,104,100, 99, 97, 98, 98,100,103,105,
110,114,121,127,134,142,148,156,162,166,170,173,174,175,173,173,170,169,165,163,159,155,151,149,
146,143,141,139,138,136,135,133,133,132,133,133,135,137,138,140,140,141,141,139,139,136,134,129,
125,119,113,105, 99, 91, 84, 76, 71, 65, 62, 59, 58, 55, 56, 56, 59, 60, 65, 68, 74, 80, 85, 92,
 98,104,110,115,120,123,128,130,133,133,133,133,130,128,124,120,114,108,100, 92, 87, 79, 75, 68,
 64, 61, 58, 56, 55, 56, 57, 59, 61, 65, 69, 72, 76, 81, 85, 90, 94, 99,104,108,109,112,111,112,
111,111,107,106,101,100, 97, 94, 93, 91, 92, 92, 94, 96,100,104,107,114,118,125,130,138,143,149,
153,159,161,166,167,170,169,170,168,165,163,159,157,153,147,143,138,135,130,126,123,119,118,115,
114,112,113,114,115,119,122,128,134,140,148,154,162,168,176,183,188,194,196,200,202,204,203,204,
200,199,194,190,186,179,174,166,160,153,145,139,133,129,124,122,119,120,121,122,126,128,132,136,
139,144,147,150,150,150,148,148,146,143,141,137,134,130,128,125,122,121,119,120,120,121,121,125,
126,129,131,134,137,141,147,151,157,162,168,173,178,182,185,188,189,190,189,189,186,183,179,171,
166,157,151,143,136,129,122,114,109,103, 99, 96, 92, 91, 89, 90, 91, 94, 96,101,104,110,114,121,
126,131,136,140,144,147,150,151,152,151,150,146,142,140,134,131,125,121,117,112,109,104,101, 99,
 96, 95, 93, 93, 95, 95, 97, 97, 99,102,102,103,103,103,103,102,101, 98, 97, 94, 92, 89, 84, 80,
 75, 72, 66, 63, 59, 55, 54, 53, 53, 53, 54, 57, 59, 64, 68, 74, 80, 85, 93, 99,108,115,121,128,
132,138,141,146,148,149,150,148,146,142,138,131,126,118,111,103, 96, 89, 84, 77, 74, 69, 67, 65,
 67, 67, 70, 73, 78, 82, 89, 95,102,108,115,120,126,130,135,139,143,146,148,150,151,151,152,152,
153,152,154,154,156,155,157,157,156,158,158,159,161,161,163,164,166,169,170,174,176,176,178,179,
178,179,176,177,175,173,170,167,163,160,154,150,144,140,135,131,127,122,119,116,113,111,110,110,
111,112,117,121,129,135,143,150,156,164,170,175,181,186,188,191,191,190,188,184,181,175,169,165,
159,155,150,146,140,136,132,127,125,120,119,117,114,114,114,115,114,116,117,119,120,123,124,128,
129,133,133,136,136,138,137,137,135,133,133,131,131,129,129,128,127,128,127,128,131,130,134,134,
138,139,143,145,149,152,152,155,155,158,157,159,157,157,155,153,150,145,141,135,128,123,116,110,
102, 96, 89, 84, 78, 74, 71, 68, 66, 65, 65, 67, 71, 74, 80, 83, 89, 93, 98,102,107,110,114,118,
119,124,126,127,127,126,126,123,122,118,116,112,110,105,104,100, 98, 95, 92, 90, 87, 87, 86, 87,
 88, 89, 90, 92, 92, 95, 95, 98, 98, 99, 99,102,102,104,103,103,102,100, 99, 96, 95, 91, 89, 85,
 84, 80, 80, 77, 78, 77, 77, 80, 82, 87, 92, 98,106,112,121,128,136,143,149,154,159,162,166,167,
169,169,168,165,163,159,156,151,149,144,141,136,135,130,129,124,123,119,118,116,115,117,118,122,
124,129,132,137,141,144,148,151,155,160,163,166,170,171,173,174,176,175,177,176,178,176,177,175,
174,171,170,166,164,160,159,156,155,154,153,151,152,151,153,153,154,155,155,157,158,157,157,155,
153,150,144,141,136,130,125,119,116,111,107,104,103, 99, 99, 97, 98, 98,101,102,107,110,114,120,
125,131,136,140,145,149,154,159,161,166,167,171,170,172,171,169,168,164,162,158,153,150,146,142,
138,132,129,124,122,117,115,114,112,113,113,113,113,114,112,114,114,117,118,122,122,126,127,130,
130,131,132,131,132,130,130,127,128,126,124,122,118,116,115,113,114,113,115,116,119,121,124,125,
128,128,130,131,130,132,132,132,132,130,128,124,122,118,112,108,102, 97, 93, 87, 84, 77, 74, 69,
 67, 64, 62, 60, 60, 61, 62, 66, 69, 74, 77, 82, 86, 91, 96,102,105,113,116,123,127,131,135,138,
140,141,141,141,139,139,137,134,132,126,123,117,112,106,102, 97, 95, 92, 92, 91, 92, 92, 93, 95,
 94, 98,100,104,105,110,111,114,114,117,116,117,116,115,116,116,118,118,120,120,121,122,123,124,
126,128,132,134,138,143,147,152,157,161,164,170,172,177,179,181,182,183,183,182,181,180,176,174,
169,166,163,158,155,150,148,143,140,135,133,127,125,120,119,116,115,114,113,114,115,114,117,118,
122,125,129,134,136,143,146,152,154,156,158,158,158,159,157,157,155,153,151,150,147,145,143,140,
140,138,139,139,139,140,140,141,141,140,141,140,139,139,138,137,137,136,135,133,131,130,127,125,
125,122,122,120,119,118,117,116,115,115,115,115,117,120,123,125,130,132,137,140,142,147,149,153,
155,158,159,161,163,164,164,163,163,161,160,158,155,153,148,144,139,133,128,121,115,109,104, 99,
 96, 94, 93, 92, 91, 91, 91, 92, 93, 93, 95, 96, 98,100,101,105,105,108,109,110,112,112,114,114,
114,114,114,114,113,112,111,109,108,107,107,108,109,110,113,113,115,117,117,118,118,119,118,119,
119,119,119,118,117,115,114,112,111,109,108,106,104,102, 99, 97, 93, 90, 87, 84, 82, 80, 79, 79,
 78, 79, 80, 83, 85, 88, 92, 97,101,108,112,120,124,131,134,140,143,148,149,152,152,153,152,152,
151,150,148,146,144,139,138,133,133,129,129,127,126,126,125,126,126,127,126,128,128,130,129,132,
131,134,132,134,133,133,132,132,131,131,131,132,133,134,135,135,136,136,139,141,143,146,147,150,
151,154,155,157,157,159,158,160,160,162,163,165,166,166,167,166,166,163,163,159,157,153,149,144,
139,134,128,123,118,114,111,107,106,105,104,106,106,109,110,111,114,117,120,125,127,132,135,137,
141,143,146,148,149,152,152,155,155,157,157,157,156,155,155,153,153,150,151,148,149,147,149,147,
148,146,146,145,144,144,142,141,140,138,136,133,131,129,127,126,122,122,119,119,118,116,116,113,
113,111,111,110,109,109,109,110,112,113,117,118,122,124,126,130,132,135,138,140,143,144,146,147,
146,147,145,145,143,140,140,137,133,129,124,119,114,109,104,100, 96, 91, 90, 86, 86, 84, 83, 83,
 81, 83, 83, 84, 85, 87, 88, 91, 90, 94, 94, 98, 98,101,102,104,108,109,113,114,118,119,122,124,
126,127,129,128,129,129,129,129,130,127,128,125,124,122,121,120,117,118,117,117,116,117,115,115,
113,111,110,108,108,106,103,102,100, 98, 97, 94, 94, 92, 93, 91, 94, 96, 99,100,104,106,111,115,
118,124,127,133,136,142,145,151,154,157,159,161,162,163,164,164,164,162,161,159,157,154,152,149,
147,145,145,142,142,140,140,140,138,137,134,134,131,131,128,128,125,126,125,125,125,125,126,126,
129,130,131,133,134,135,135,136,136,136,135,136,135,136,136,138,140,141,144,145,148,151,153,154,
156,157,158,160,159,162,159,160,157,158,155,153,151,148,146,142,140,136,134,130,126,123,121,117,
115,112,113,111,113,112,115,116,120,122,124,128,130,134,137,140,143,145,147,148,150,151,153,155,
155,158,157,159,158,158,157,156,154,153,150,148,147,144,143,139,137,134,133,130,129,126,124,122,
121,119,117,116,112,112,109,109,106,107,105,106,105,103,104,103,102,101,101,100,100, 97, 99, 98,
 98, 99,100,103,106,108,111,115,116,120,122,126,127,132,133,134,135,136,136,135,134,134,131,130,
128,124,123,119,118,114,110,107,105,102,100, 98, 97, 95, 94, 91, 92, 89, 89, 87, 86, 86, 86, 87,
 87, 90, 89, 93, 93, 98, 98,103,104,108,110,113,115,116,120,121,121,122,123,124,125,126,128,127,
130,130,133,132,135,135,135,137,136,139,139,140,139,140,137,139,136,137,135,135,133,131,129,126,
125,121,120,116,114,111,110,109,109,108,110,110,114,116,121,123,128,131,135,139,141,146,148,151,
153,155,157,158,160,162,162,164,164,164,163,164,162,161,160,155,155,150,149,144,142,137,135,130,
129,126,124,122,119,119,118,117,117,118,117,119,118,121,121,122,124,124,126,127,128,130,131,133,
133,134,136,135,138,137,140,139,143,142,146,146,149,150,154,156,158,161,161,165,165,167,167,167,
166,166,164,162,159,158,154,152,148,145,141,135,133,128,126,121,119,114,113,110,108,107,106,107,
108,107,109,109,111,112,114,117,117,121,122,127,128,131,133,135,136,138,140,141,144,144,143,143,
143,140,140,136,135,132,129,127,125,123,120,118,115,114,111,111,109,109,106,106,103,104,101,101,
 98, 99, 97, 96, 96, 94, 94, 93, 91, 91, 89, 89, 88, 88, 89, 88, 91, 92, 95, 98,102,104,110,112,
117,119,124,128,129,132,132,136,135,137,138,138,138,138,138,137,137,134,134,130,128,124,122,117,
115,110,108,103,101, 97, 97, 94, 95, 93, 94, 94, 95, 95, 98, 98,100,103,103,108,109,114,115,120,
122,128,131,134,137,139,142,143,145,146,145,145,145,143,142,141,141,141,140,141,142,142,143,145,
145,147,148,149,147,149,147,148,145,145,141,141,138,136,134,132,130,128,127,125,122,121,119,118,
117,116,116,114,117,115,118,118,121,122,126,129,131,134,137,140,144,148,150,155,156,160,162,165,
166,167,168,167,167,166,164,163,160,158,154,151,147,144,141,135,133,128,127,123,123,121,121,119,
120,121,120,123,123,126,127,130,131,133,135,136,138,138,139,141,141,143,143,143,142,142,142,142,
143,142,142,143,143,143,145,145,147,146,148,148,148,149,148,150,148,148,145,146,143,143,140,139,
135,133,130,126,123,119,115,112,108,104,103, 98, 97, 93, 93, 89, 90, 88, 89, 88, 90, 91, 92, 95,
 96,100,101,106,107,112,113,119,120,126,127,131,133,134,135,135,135,133,132,128,128,124,124,119,
119,115,115,113,112,112,112,110,111,109,110,109,109,108,107,106,105,105,105,104,104,104,104,103,
104,102,103,103,101,101,100,100,100,100,101,100,102,102,106,106,110,112,116,119,121,125,128,130,
132,134,136,138,140,141,143,144,146,147,146,148,147,147,145,143,140,137,134,128,126,119,117,111,
110,105,104,102,100,101,100,103,104,108,110,113,116,119,122,126,130,133,135,140,142,146,147,150,
151,153,153,154,154,154,155,153,154,151,152,150,150,150,149,149,148,147,145,144,144,142,141,139,
139,138,137,137,136,136,133,134,132,132,131,129,129,126,126,123,123,121,121,119,118,118,118,119,
120,119,122,123,124,127,129,133,135,140,142,147,149,155,156,161,164,166,170,172,173,174,173,173,
172,168,167,163,159,155,150,146,142,136,133,127,125,122,118,117,115,115,113,112,111,111,112,112,
113,115,116,118,118,120,121,123,124,123,125,124,126,126,126,126,126,124,125,124,125,125,125,126,
126,127,128,128,130,129,130,130,129,130,129,130,129,130,129,129,129,128,129,127,126,124,122,118,
116,112,109,104,100, 94, 92, 88, 87, 84, 84, 83, 83, 85, 86, 90, 92, 94, 98,103,105,111,114,118,
122,126,130,133,136,138,142,143,143,144,144,143,142,140,137,135,131,128,125,122,118,116,113,111,
109,107,105,105,102,103,101,103,101,102,101,102,102,103,105,106,109,110,113,114,117,118,120,121,
122,123,123,124,124,125,124,124,123,124,123,125,125,128,128,131,132,134,137,139,142,144,147,150,
150,154,154,156,156,155,156,154,153,150,146,143,139,136,132,129,127,123,120,118,117,115,113,113,
111,111,112,111,113,114,115,119,119,124,125,130,133,138,141,146,149,151,153,154,156,156,157,157,
157,157,157,156,156,153,154,151,151,148,148,146,143,142,139,138,136,134,133,132,132,133,131,133,
133,135,135,135,137,135,137,135,134,133,132,129,129,127,127,124,123,123,122,122,123,122,124,124,
126,128,128,133,133,137,139,142,144,148,149,151,154,155,156,156,155,154,152,149,146,143,139,135,
131,126,123,119,116,112,110,107,106,103,102,101, 99,100, 99,100, 99,100, 99,102,103,104,107,109,
112,114,118,120,123,124,125,126,126,127,127,125,126,124,122,122,120,120,119,119,118,119,118,120,
120,122,123,123,124,124,126,127,128,129,129,130,130,128,129,127,124,123,119,117,115,111,109,104,
103, 98, 97, 93, 93, 91, 92, 91, 92, 93, 95, 98, 99,104,105,110,112,117,119,124,127,131,133,137,
139,142,143,145,145,146,145,146,145,143,143,141,138,136,132,130,127,124,120,116,115,112,111,109,
108,107,107,108,107,110,110,114,115,120,122,126,127,130,131,132,133,133,135,134,135,133,134,132,
133,133,132,133,133,135,136,137,137,140,141,142,143,144,146,148,150,151,153,153,156,155,157,157,
155,154,152,150,148,144,142,137,135,131,129,125,124,120,119,117,114,114,112,113,112,113,111,113,
113,116,116,120,121,124,128,132,137,141,144,149,151,155,157,158,161,160,162,162,161,160,159,158,
157,153,153,149,148,144,143,140,138,136,133,133,129,130,126,127,126,126,126,126,127,126,127,127,
125,125,124,123,122,120,118,117,115,115,114,112,110,111,110,111,111,112,114,115,117,118,121,122,
124,126,126,129,129,133,134,135,138,137,140,139,140,140,139,138,137,133,132,127,126,122,117,114,
109,106,103, 99, 98, 95, 94, 93, 91, 92, 91, 94, 93, 97, 98,101,105,108,113,115,120,122,127,129,
133,135,136,138,138,139,139,139,139,138,136,135,132,132,130,128,127,125,125,125,122,124,121,123,
121,122,122,122,123,122,123,121,122,120,119,118,118,116,116,113,114,112,113,111,111,110,110,108,
109,108,109,108,109,109,109,110,111,112,113,116,117,122,124,129,133,137,139,144,148,149,153,152,
154,153,153,152,151,148,146,142,141,136,135,131,129,125,123,120,118,116,115,115,112,113,111,113,
112,115,116,118,121,123,125,128,129,131,133,132,135,135,135,136,137,135,137,136,137,138,138,139,
139,141,141,141,143,144,142,144,142,144,142,144,145,145,146,146,148,149,150,150,150,149,149,147,
146,146,144,143,140,139,137,134,133,130,129,126,126,123,123,122,121,121,120,121,121,123,124,127,
127,131,133,137,139,143,145,148,150,151,152,151,153,151,151,149,146,144,142,138,136,132,130,127,
123,122,119,116,114,112,111,109,108,107,107,106,107,107,108,108,110,109,112,111,114,113,116,115,
116,117,117,117,119,117,119,118,117,117,116,117,116,116,116,117,115,117,116,119,118,121,121,125,
125,129,130,133,134,136,137,137,139,137,139,137,137,134,134,131,128,126,122,120,116,114,111,108,
106,103,102,100,100,100,100,102,101,105,105,109,110,114,116,120,121,124,126,128,131,130,133,133,
135,135,137,136,138,137,138,137,137,136,136,135,133,131,129,127,125,122,120,118,117,116,116,115,
117,117,117,119,119,120,122,120,122,121,121,121,120,120,119,119,118,118,117,118,118,118,118,118,
118,119,119,120,122,123,125,127,128,133,134,138,140,144,147,147,151,152,153,153,153,153,152,151,
150,147,146,142,141,139,137,135,133,130,129,128,125,125,122,122,120,120,119,120,120,122,122,123,
125,126,129,131,132,135,136,138,140,142,144,144,147,146,149,148,150,151,151,151,150,150,149,149,
148,148,146,144,143,143,140,141,139,140,139,137,138,137,138,136,136,136,134,134,133,130,130,127,
126,123,122,120,117,116,114,113,110,111,109,110,108,110,109,112,111,114,115,118,119,122,124,126,
129,129,132,132,135,135,137,136,139,137,139,138,138,138,138,137,135,134,131,130,126,125,121,120,
115,115,112,110,109,108,107,106,107,107,108,108,111,111,113,113,116,117,120,120,124,124,128,128,
131,132,132,133,134,133,134,134,133,134,132,133,132,131,131,131,132,133,132,134,133,135,135,134,
135,134,133,131,131,128,129,125,125,122,122,119,120,117,117,116,114,115,113,114,111,112,109,110,
107,109,108,108,107,108,109,110,112,114,116,118,121,122,125,127,128,130,132,132,135,134,137,136,
138,137,138,137,136,136,135,133,132,131,127,128,125,123,122,122,120,121,119,120,120,121,122,122,
122,121,123,122,124,123,123,123,124,122,124,123,124,123,124,124,126,127,126,128,127,130,129,132,
131,134,133,136,137,138,141,141,144,143,145,145,146,146,146,145,145,144,143,143,142,142,140,140,
138,138,136,136,134,134,133,130,130,128,127,127,124,125,123,124,124,125,125,126,125,128,129,130,
132,132,135,135,138,139,141,141,142,142,143,142,141,141,141,139,138,137,134,134,131,131,129,127,
126,126,123,124,122,122,120,121,119,119,118,117,117,114,115,113,114,113,115,113,115,113,115,114,
116,116,116,116,115,117,115,117,116,116,116,117,118,120,120,123,123,126,127,129,129,131,132,134,
135,135,138,138,141,140,142,141,143,142,142,141,141,139,138,135,133,129,127,124,122,120,118,117,
113,114,112,113,112,112,113,113,114,113,114,115,116,115,118,117,120,120,120,121,122,123,125,125,
127,127,127,130,129,131,130,132,130,130,129,129,128,128,128,128,127,126,126,125,124,124,123,123,
123,123,123,122,121,121,120,120,119,119,119,118,117,117,115,116,115,114,114,113,113,114,113,115,
114,115,117,119,121,122,125,126,130,132,133,136,138,140,142,143,144,145,146,145,146,144,145,142,
143,140,140,139,136,135,133,132,128,129,126,127,126,125,126,126,124,125,123,124,124,123,125,124,
127,126,128,127,130,130,132,133,134,136,137,137,139,139,141,142,142,143,143,145,143,146,144,146,
146,147,146,147,145,146,144,145,144,144,144,144,143,143,142,142,142,139,139,136,134,133,130,129,
125,124,120,119,115,115,113,112,110,111,109,111,110,112,112,113,114,114,116,116,119,120,120,122,
123,125,126,128,130,131,133,134,135,136,136,136,136,134,134,133,132,131,130,130,127,128,125,126,
123,124,121,121,119,119,118,117,116,116,116,115,115,116,116,118,119,119,121,122,122,124,124,125,
126,125,126,125,126,125,126,127,126,129,128,131,130,133,132,134,134,136,136,137,138,136,138,136,
137,136,135,132,133,130,130,127,127,125,124,123,120,120,118,116,115,113,112,111,110,110,109,109,
108,107,107,106,107,108,108,109,109,111,113,114,115,117,118,120,122,122,125,126,126,128,128,130,
130,130,128,130,127,129,127,128,127,128,126,126,125,125,125,124,125,124,124,124,124,125,125,125,
126,123,125,123,125,123,124,123,122,123,121,121,121,121,121,121,122,124,123,126,126,129,130,131,
133,134,136,137,140,140,142,142,145,144,146,146,146,147,146,147,147,145,146,144,144,142,142,140,
139,138,137,136,136,135,135,134,134,132,132,130,130,130,128,128,127,128,129,129,130,129,131,131,
134,134,136,135,138,138,138,139,138,138,137,137,135,137,134,136,134,136,133,135,133,134,133,134,
132,132,130,130,129,128,127,127,126,125,124,123,122,122,121,120,120,118,119,117,117,115,115,114,
114,114,114,114,115,115,117,117,118,119,120,121,121,122,122,123,125,125,127,127,130,130,132,133,
135,136,138,139,141,140,142,141,141,141,139,140,139,137,136,134,134,131,131,130,127,127,125,125,
124,124,124,122,123,121,121,121,121,119,120,119,119,119,118,118,119,117,118,117,118,118,118,120,
120,120,122,122,124,124,125,126,125,126,125,126,126,125,125,125,125,124,124,122,122,120,120,119,
118,117,115,115,114,113,111,110,110,109,109,108,108,108,108,108,109,110,109,111,110,112,112,114,
116,116,119,119,123,123,126,128,129,131,132,133,134,135,135,137,136,137,135,136,136,135,135,135,
135,135,135,135,135,134,135,134,135,133,134,133,134,132,134,132,133,132,132,130,131,129,129,127,
128,127,125,125,123,125,124,124,125,126,127,128,130,132,135,136,139,140,143,144,145,146,147,148,
149,148,150,149,151,149,151,150,149,149,148,148,148,146,144,142,140,137,135,132,130,129,126,124,
123,122,121,121,119,120,118,119,118,119,119,120,120,119,121,121,121,121,121,121,122,122,122,123,
122,123,121,123,122,122,122,122,123,123,125,125,127,127,129,130,132,132,134,134,135,135,135,135,
135,134,134,133,132,131,130,129,128,127,125,125,124,122,122,121,121,120,121,120,121,122,121,123,
122,124,124,126,126,128,129,131,133,134,137,138,139,141,141,142,142,143,142,142,140,140,138,137,
134,133,130,129,125,125,122,122,119,119,117,118,115,116,115,114,115,113,114,114,113,114,113,113,
114,112,113,112,113,111,112,110,110,108,108,108,107,107,107,107,108,108,109,109,111,112,113,114,
116,116,118,118,120,121,121,123,123,125,126,125,127,126,127,127,127,127,128,126,126,123,123,121,
121,119,118,118,115,116,114,114,114,114,115,115,116,118,118,121,121,124,125,128,131,131,135,135,
139,139,142,141,144,142,144,143,143,142,141,142,139,140,137,137,137,136,136,136,137,137,138,138,
140,141,142,141,143,142,145,144,144,144,144,142,143,141,142,141,139,139,137,137,135,136,134,134,
131,132,131,131,129,130,128,130,128,130,129,132,131,134,134,136,137,139,140,141,143,141,143,141,
143,142,140,140,139,136,135,132,130,128,126,123,122,120,118,117,114,115,112,114,113,114,115,116,
116,118,118,120,121,123,125,124,127,126,129,128,129,129,129,130,130,128,129,128,128,127,127,127,
128,128,129,129,130,130,132,132,133,134,133,134,134,135,135,135,137,136,138,136,138,137,137,137,
136,136,134,134,132,131,129,127,124,123,119,119,115,116,113,114,112,114,112,114,113,114,116,116,
119,119,122,122,125,126,128,128,129,130,131,130,131,129,129,127,125,125,121,120,117,116,112,112,
108,108,105,105,104,104,103,103,102,103,102,103,102,104,105,104,106,106,108,108,110,110,112,113,
113,114,115,115,117,117,117,118,117,118,117,119,117,119,118,121,120,122,122,124,124,125,128,128,
131,132,135,135,138,139,141,140,143,142,144,142,144,142,143,141,139,138,136,133,132,129,127,126,
124,124,121,123,122,122,123,124,125,128,130,133,135,138,141,141,146,146,149,149,152,152,152,153,
153,153,152,152,151,150,149,148,147,145,143,143,140,140,138,136,135,134,133,132,132,131,132,131,
133,132,134,133,136,135,135,135,134,134,134,131,131,129,128,126,125,124,120,120,117,117,114,115,
112,114,112,114,112,115,116,117,120,121,124,125,129,129,134,134,138,138,141,141,141,141,141,139,
138,135,134,131,130,127,125,123,121,119,118,117,116,116,116,116,116,116,116,118,119,119,122,123,
126,126,131,131,135,135,139,139,142,142,143,144,143,143,141,141,139,138,135,135,132,131,129,128,
126,125,123,122,122,121,122,121,122,121,124,124,124,125,126,127,129,127,129,127,128,126,126,124,
122,120,117,115,112,110,106,105,101,102, 98,100, 97, 98, 97, 99, 98,100,100,103,105,107,108,110,
113,113,117,117,121,121,123,124,124,125,125,125,124,124,123,121,121,119,118,117,115,115,112,112,
110,109,110,109,111,111,111,113,115,115,118,118,122,122,126,126,130,130,132,134,135,136,136,137,
136,137,135,136,134,135,132,133,131,132,130,130,129,130,130,131,133,134,137,139,141,143,146,147,
151,151,154,154,155,155,155,154,155,152,152,149,147,146,142,142,139,137,135,133,131,130,128,127,
125,125,125,125,126,127,127,129,131,133,136,136,140,140,144,144,145,146,146,147,146,146,145,143,
141,140,136,135,131,130,126,124,121,120,116,116,113,113,111,112,112,112,114,114,117,117,120,120,
123,125,127,128,130,130,131,131,129,129,128,127,125,123,122,120,119,118,117,117,116,117,117,118,
119,121,122,125,126,128,130,132,135,135,140,140,144,143,147,146,149,147,149,147,146,144,143,140,
138,136,134,132,127,127,122,121,118,117,115,114,113,113,114,113,114,116,117,119,121,123,126,127,
130,130,134,134,136,135,136,134,134,132,131,130,127,125,122,121,117,117,112,113,109,110,108,108,
108,107,108,108,109,108,111,111,112,113,115,115,116,117,117,117,117,117,116,115,113,113,111,111,
109,108,106,106,103,104,101,103,101,104,103,106,106,109,110,113,115,118,121,124,127,129,133,135,
137,139,142,142,143,144,143,144,142,142,142,140,139,137,134,133,129,129,125,125,121,122,120,121,
120,122,122,125,126,128,131,132,137,137,142,142,147,146,148,149,149,150,149,149,148,148,146,147,
144,145,142,142,139,140,137,138,135,136,135,135,136,136,136,137,138,139,140,139,143,141,144,142,
144,142,143,140,140,138,137,134,132,131,127,127,122,122,117,117,113,113,109,110,108,109,109,109,
110,112,113,114,118,119,124,126,129,132,136,136,140,139,141,141,142,140,140,138,137,135,133,131,
128,126,123,122,119,119,117,117,116,115,117,116,119,118,121,121,125,125,129,128,133,133,135,136,
138,137,138,138,137,138,137,136,135,135,132,133,129,130,126,127,125,125,124,124,125,124,126,126,
128,128,131,130,134,134,138,138,140,140,141,141,141,138,139,136,135,133,129,128,123,122,116,116,
110,110,105,105,101,101, 99, 99, 98, 99, 99,100,102,103,105,107,110,112,115,117,120,120,122,123,
123,124,123,124,122,123,120,121,117,118,114,115,111,112,109,108,108,107,108,107,109,109,110,111,
113,113,117,117,121,122,124,125,127,127,129,127,129,128,129,129,128,129,127,128,127,126,125,124,
123,123,121,122,121,122,122,122,124,125,126,128,131,132,137,138,142,144,147,149,152,152,153,153,
153,151,152,150,150,148,146,145,141,141,137,137,133,133,130,131,128,129,127,128,127,128,128,130,
131,133,136,135,139,139,142,142,144,145,145,146,145,146,145,145,144,143,139,140,135,135,131,130,
128,127,125,124,122,122,120,121,120,120,121,120,123,122,126,125,129,128,131,131,132,132,132,132,
132,132,130,130,128,126,124,122,120,119,115,115,112,113,112,112,112,113,113,116,117,118,122,123,
128,128,134,134,139,139,143,142,145,144,147,147,146,147,145,145,142,142,138,138,134,134,130,129,
127,125,124,123,122,121,122,120,122,121,124,123,126,126,129,128,132,130,133,133,134,133,134,133,
134,132,132,130,129,128,125,123,120,118,116,115,113,113,110,111,109,110,110,111,111,113,114,115,
117,118,120,121,122,122,122,122,121,121,119,119,118,116,114,112,109,107,105,103,101,100, 98, 98,
 95, 97, 95, 97, 96, 99,100,102,105,107,111,113,117,119,123,122,126,127,128,129,130,131,131,133,
133,133,131,132,130,131,128,128,125,126,124,124,122,122,120,121,120,121,121,122,123,125,127,129,
131,132,134,136,138,137,140,139,141,141,142,141,140,142,139,140,139,138,137,137,136,137,136,137,
136,137,136,138,138,140,141,143,144,146,148,149,150,151,151,152,152,152,151,151,149,149,146,146,
142,142,138,137,133,132,128,127,124,124,121,121,118,119,118,116,117,117,117,119,119,121,122,123,
124,125,126,127,128,130,132,132,133,134,133,134,132,133,132,131,130,129,128,127,126,125,125,125,
123,124,123,124,124,126,127,128,130,131,132,133,134,135,136,137,138,136,138,136,137,137,135,135,
133,133,130,131,127,128,126,127,125,127,125,127,126,128,128,130,131,133,134,136,137,138,140,141,
142,142,143,143,144,142,143,142,142,140,139,137,135,132,130,127,125,122,120,119,116,114,112,110,
110,108,108,107,109,107,109,108,111,111,111,112,114,114,114,115,114,115,114,115,113,112,112,111,
110,108,107,107,105,105,104,103,103,103,103,104,104,104,107,107,110,110,114,113,117,116,120,118,
121,119,122,120,121,121,120,120,118,119,116,117,114,116,113,115,113,115,113,115,115,114,116,116,
117,119,121,123,124,126,129,129,133,135,136,138,140,141,143,143,145,144,145,145,145,145,143,143,
141,141,139,138,137,136,136,135,135,134,134,134,135,135,137,136,138,139,140,141,141,142,142,143,
144,142,144,143,142,143,141,141,139,139,136,137,134,135,133,132,131,131,129,130,130,129,130,131,
130,131,132,132,131,132,132,132,133,132,132,132,132,132,131,132,131,131,129,130,129,127,127,125,
125,123,123,121,120,119,119,117,118,118,117,118,118,120,120,122,125,125,128,128,131,132,133,135,
137,137,139,138,140,139,140,139,139,139,137,138,136,137,134,135,133,134,133,134,134,133,135,135,
135,136,137,136,138,137,139,137,139,137,138,137,137,136,136,134,134,134,131,131,129,129,126,127,
124,123,122,121,120,119,118,117,118,118,117,118,119,118,121,120,122,122,122,122,123,122,123,121,
122,120,120,118,117,115,114,113,109,109,106,106,102,102,100, 98, 97, 96, 96, 96, 97, 96, 99, 98,
101,101,105,104,108,109,111,112,114,115,117,116,118,118,117,118,117,118,117,118,116,118,117,118,
117,119,118,120,120,121,121,122,122,124,124,125,126,127,129,128,131,130,132,133,134,133,135,134,
135,135,134,135,134,135,133,134,133,132,132,131,131,130,130,131,130,132,131,133,133,135,136,138,
140,140,142,143,144,146,148,147,150,150,150,151,150,151,149,150,148,146,145,143,142,140,138,137,
135,134,133,132,132,132,130,131,131,130,131,130,131,130,129,129,128,129,127,127,128,128,127,127,
125,127,126,126,124,125,125,124,124,124,123,124,122,124,123,124,123,124,125,126,127,127,129,128,
130,130,132,131,134,133,135,134,136,135,136,136,135,135,133,134,133,132,131,130,128,128,126,127,
125,126,125,126,125,127,127,129,130,130,133,132,135,135,138,137,139,139,139,140,141,139,140,139,
139,138,137,136,135,134,133,131,130,130,128,127,126,125,124,124,122,122,121,122,122,120,121,120,
121,119,121,120,119,119,117,117,115,115,113,113,111,110,109,107,106,105,103,104,101,102,100,101,
 99,100,101,100,102,102,104,105,106,108,110,112,114,114,118,117,120,119,121,120,121,119,120,119,
116,116,114,113,111,111,108,109,108,109,109,108,110,111,112,113,114,116,119,118,122,122,126,126,
129,130,131,133,134,134,136,137,136,138,137,138,137,138,137,137,136,136,136,135,136,135,136,135,
136,137,136,138,138,140,141,142,144,144,147,146,148,147,149,148,150,150,149,149,148,148,145,145,
142,142,139,139,136,135,133,132,130,130,128,129,128,130,130,132,133,134,136,137,139,139,140,141,
143,141,143,142,142,142,140,140,139,137,136,135,132,132,129,129,126,125,124,122,122,122,120,121,
120,121,120,121,121,121,124,123,126,125,128,127,129,130,131,131,133,132,134,134,133,134,133,134,
133,134,132,132,130,131,129,130,128,129,128,129,129,129,130,131,132,133,135,134,137,136,139,138,
140,140,141,139,141,139,140,138,138,137,135,133,132,130,129,127,126,126,124,124,122,121,121,121,
120,120,121,121,121,121,123,122,124,123,125,125,125,126,126,125,125,123,124,122,121,120,119,117,
116,115,111,112,109,108,106,105,104,103,102,102,100,101,100,101,101,102,102,104,106,105,108,107,
110,110,112,111,113,113,112,113,112,111,110,109,109,108,108,107,107,108,107,109,109,111,112,114,
115,117,120,119,123,123,126,127,129,129,132,131,132,134,133,134,133,133,134,132,132,131,131,130,
129,129,127,128,126,127,127,126,128,128,130,130,131,132,134,134,137,137,140,140,143,144,144,146,
147,147,146,148,147,148,147,148,147,146,145,144,143,141,141,140,138,138,136,137,136,137,137,136,
137,136,138,138,140,138,141,139,141,140,140,138,139,137,137,136,133,131,130,128,126,126,122,123,
120,121,119,119,120,119,121,121,122,123,125,125,126,127,128,129,130,131,132,133,134,133,135,134,
135,134,134,134,133,133,131,132,130,130,129,128,127,127,126,126,126,124,126,125,127,126,128,128,
130,130,132,133,133,135,135,137,138,139,139,140,140,141,140,139,139,138,138,137,135,135,134,133,
132,131,131,131,130,131,130,131,130,131,130,131,130,131,131,131,131,131,131,131,130,130,128,128,
127,125,124,121,120,118,116,114,112,110,109,107,106,105,103,103,102,101,102,101,103,102,104,104,
104,105,106,107,109,109,112,112,114,114,115,114,116,116,116,116,114,115,113,112,111,110,109,108,
107,106,107,106,107,107,109,108,111,112,114,114,116,118,120,121,124,123,126,125,128,127,129,128,
130,129,130,130,128,129,127,128,126,128,126,127,127,127,128,128,130,130,131,133,134,136,138,139,
141,142,145,144,147,146,148,149,148,149,149,149,148,147,146,146,144,144,141,142,139,139,136,136,
134,134,133,132,132,131,132,132,133,133,135,135,137,137,140,140,141,142,142,141,142,140,141,139,
138,136,134,133,130,129,126,126,123,123,121,120,120,120,119,120,120,121,122,121,123,122,124,125,
126,127,128,127,129,128,129,128,128,127,127,126,126,126,125,125,124,124,122,122,122,121,122,123,
123,124,125,126,127,129,131,132,133,135,137,138,140,139,142,142,143,144,143,144,142,143,141,142,
139,139,136,135,134,132,131,130,128,128,128,126,127,126,128,126,128,127,129,128,130,131,131,132,
132,133,134,134,132,133,131,132,129,130,127,126,124,123,120,119,115,115,111,112,109,110,108,109,
108,109,109,108,109,108,110,110,110,110,111,110,112,111,112,111,112,111,112,111,111,110,110,110,
107,108,105,105,103,102,102,102,100,102,101,102,102,104,106,106,109,109,114,114,119,120,123,125,
127,129,131,132,133,134,135,134,135,134,134,133,132,132,129,129,126,127,125,126,124,125,125,126,
126,128,128,130,131,133,136,136,139,139,143,142,145,145,145,146,146,147,146,145,145,144,144,143,
141,141,138,139,136,137,135,136,136,135,135,135,136,136,137,136,139,138,141,140,143,142,145,144,
146,146,145,146,146,144,144,142,141,138,136,134,131,128,125,123,121,119,118,116,116,115,115,115,
115,116,117,117,120,121,123,125,127,128,130,131,132,133,133,134,133,134,133,133,132,130,129,128,
126,126,123,123,121,122,120,121,120,121,122,121,124,124,125,127,130,129,133,132,136,136,139,138,
141,141,141,142,141,142,141,141,138,139,135,136,132,133,129,129,129,128,128,127,128,128,127,129,
129,129,132,131,134,135,136,137,139,138,141,140,141,140,141,139,139,137,136,134,131,128,125,124,
119,117,114,112,110,110,107,107,105,106,106,104,106,105,108,107,109,108,110,110,110,111,111,112,
113,112,113,113,112,113,110,111,110,108,107,106,105,104,103,102,103,103,101,102,102,103,104,105,
106,108,110,111,114,115,118,118,122,123,125,125,127,128,128,128,128,127,127,126,124,125,122,123,
122,121,121,120,121,121,120,122,122,124,126,127,130,130,134,135,139,139,143,143,146,146,149,149,
150,150,149,149,148,147,145,144,141,140,138,137,136,135,133,134,132,132,131,132,132,133,133,134,
136,136,137,139,140,141,142,142,144,144,146,145,147,147,146,146,144,142,140,139,136,135,131,130,
128,126,124,123,122,120,120,119,120,121,122,121,124,123,127,126,130,130,132,133,134,135,136,134,
135,133,133,131,130,128,125,124,121,120,118,117,116,115,114,114,114,115,115,117,119,119,123,123,
127,127,132,132,136,137,139,141,143,144,145,146,145,146,144,144,141,141,139,137,135,134,132,131,
130,128,128,127,127,127,127,128,128,129,130,131,134,134,135,137,138,139,140,142,142,143,141,142,
141,139,137,136,133,131,128,127,122,122,117,118,115,113,113,111,112,110,112,111,113,112,115,114,
117,118,119,120,120,121,121,122,121,122,120,121,119,118,115,114,112,110,108,107,103,103,100,100,
 97, 98, 96, 97, 96, 97, 98, 98,100,101,103,104,107,108,112,113,116,117,120,121,123,124,124,125,
125,125,124,124,122,123,120,121,120,120,118,119,118,119,119,119,120,120,121,122,124,126,128,129,
132,134,136,138,141,140,144,143,145,144,145,143,143,143,139,140,136,137,134,133,132,131,130,129,
129,130,130,130,133,132,135,136,137,139,141,141,144,143,146,146,148,148,149,149,149,148,148,147,
146,145,142,142,137,137,134,132,130,128,126,125,123,121,121,120,120,119,121,120,122,121,124,123,
126,126,129,128,131,130,132,131,132,131,131,130,127,128,124,125,122,121,119,118,117,117,115,116,
115,116,116,118,119,120,122,123,125,127,129,130,132,134,135,137,138,139,139,140,138,139,137,138,
136,136,133,133,131,130,128,128,126,127,125,126,126,127,127,128,130,131,133,134,135,137,139,140,
141,143,144,146,146,147,147,148,146,147,144,145,142,140,138,136,134,132,130,129,125,125,121,121,
119,119,119,119,119,119,119,120,120,121,123,121,124,124,123,124,124,122,122,121,120,118,117,116,
112,113,110,108,107,105,104,103,103,101,102,101,102,101,103,103,103,104,106,106,109,108,111,111,
114,114,115,116,116,117,116,118,116,117,116,115,115,114,113,113,111,112,111,112,111,112,111,113,
113,114,114,116,119,119,122,123,127,128,131,133,135,137,139,141,142,142,143,142,143,142,141,140,
139,138,136,135,135,134,134,133,133,132,134,133,135,135,136,137,138,139,140,141,143,142,145,145,
146,145,147,146,146,145,145,144,143,142,141,140,139,138,136,136,134,134,132,132,130,130,128,129,
127,128,127,128,128,127,130,130,131,132,132,133,134,133,134,133,134,132,132,132,129,129,126,126,
123,123,121,119,119,117,117,116,116,115,116,115,117,117,119,119,122,122,125,125,127,129,130,132,
133,133,135,135,136,135,136,136,134,135,133,133,132,132,129,130,129,130,129,130,129,129,132,131,
134,133,136,136,137,138,140,140,142,142,142,143,143,144,143,143,141,142,139,140,138,137,135,134,
131,131,129,128,126,124,124,122,122,121,121,121,121,122,122,123,123,124,124,125,125,126,126,127,
125,125,124,123,122,120,118,116,113,114,110,110,107,107,104,104,103,103,103,102,103,101,103,102,
104,103,106,105,107,107,109,108,111,110,112,112,112,113,112,114,113,112,112,111,111,111,110,111,
110,111,110,111,111,112,112,113,115,114,117,118,119,121,123,125,126,128,131,131,134,135,136,136,
138,137,138,139,137,138,136,135,134,133,132,131,130,129,129,128,129,129,128,130,130,131,133,132,
136,136,138,140,141,142,143,145,145,147,147,148,147,148,146,147,144,145,141,142,139,140,138,137,
136,134,134,133,133,131,131,130,131,130,130,129,131,130,132,130,132,132,132,133,133,134,135,134,
134,133,133,131,130,129,128,126,125,125,122,122,119,120,118,118,117,118,118,117,119,118,121,122,
124,123,127,127,130,131,132,134,135,135,137,136,137,137,135,136,134,134,133,131,130,129,129,127,
127,126,127,126,127,127,127,128,130,129,132,132,135,134,137,138,139,140,140,142,143,143,144,144,
143,143,142,142,140,139,138,136,136,134,134,132,132,130,130,129,127,127,126,127,126,125,127,127,
127,128,128,129,129,130,129,130,128,129,126,126,123,123,119,119,115,115,111,112,108,109,106,107,
104,105,104,103,104,103,105,104,107,106,108,107,110,110,112,112,114,114,115,115,115,115,114,115,
112,113,111,111,111,110,110,109,109,108,109,109,109,108,110,109,111,111,113,113,115,115,118,118,
121,121,124,124,127,128,128,130,131,131,133,132,133,133,132,133,131,132,131,131,130,130,129,130,
128,129,128,130,131,130,132,132,134,135,136,137,138,140,142,142,142,143,143,144,142,143,142,141,
140,140,137,137,135,136,133,134,133,132,132,131,132,132,131,132,131,132,132,132,133,133,133,133,
133,134,134,135,135,135,134,135,133,134,132,133,130,131,129,128,128,126,126,126,124,124,123,122,
122,121,122,121,122,122,123,122,125,124,126,125,128,127,129,129,131,130,131,131,132,132,131,131,
129,131,129,130,128,129,128,129,128,129,130,129,131,130,132,131,134,134,135,136,137,138,138,140,
140,141,141,142,141,142,140,141,140,139,138,137,136,135,135,134,134,133,133,132,131,132,130,131,
130,131,130,131,130,130,131,130,131,130,132,132,131,132,131,131,129,130,127,128,125,125,122,121,
119,119,115,116,113,113,111,111,110,109,110,110,110,109,110,110,110,111,110,111,112,111,113,112,
113,113,113,113,112,111,111,109,109,107,107,106,105,104,105,105,103,105,104,105,105,107,108,109,
111,112,114,114,117,117,120,121,123,123,125,125,127,127,128,129,128,129,129,128,129,128,129,128,
128,127,128,127,128,127,128,128,128,129,130,129,131,132,132,133,135,135,138,137,140,140,142,141,
142,143,142,144,143,142,141,140,139,138,137,136,136,135,135,135,134,135,135,136,137,136,139,139,
139,140,140,141,141,142,141,142,141,142,142,141,141,139,138,137,135,135,132,132,129,128,127,125,
125,123,123,123,121,121,121,120,121,120,122,121,123,123,125,125,127,128,128,129,130,130,131,131,
132,131,132,131,131,131,129,130,128,129,127,128,126,127,127,127,127,127,127,127,129,128,130,131,
131,133,133,135,136,137,138,139,139,141,141,141,141,141,139,139,137,138,135,136,134,134,134,133,
133,132,133,132,134,133,134,135,135,135,136,135,137,136,138,137,139,138,139,138,139,138,136,137,
134,134,131,131,128,128,124,124,120,120,118,116,115,113,112,111,110,110,110,108,110,109,109,110,
110,111,111,112,112,113,113,113,114,113,114,114,111,112,109,110,107,107,105,104,103,102,101,100,
101, 99,101,100,102,101,104,103,106,105,109,108,111,112,113,115,117,116,119,118,120,120,119,121,
120,120,120,120,119,120,118,120,120,120,119,121,120,122,122,123,124,125,126,128,130,130,133,133,
136,137,138,140,141,141,142,144,143,145,143,144,143,144,141,142,139,140,137,137,135,135,133,134,
133,134,133,134,135,134,137,137,138,139,140,141,142,143,143,145,144,145,145,144,144,143,141,140,
139,137,135,134,132,131,130,128,127,126,126,124,125,125,124,124,125,124,126,125,127,126,129,128,
130,129,131,130,132,132,130,131,129,130,128,128,126,127,125,124,124,122,122,121,122,122,121,122,
122,123,124,125,127,126,129,128,132,131,134,134,137,137,140,139,142,141,143,143,143,143,141,142,
140,140,138,137,136,135,134,134,134,132,133,132,133,132,134,134,136,135,137,137,139,138,140,140,
141,140,142,141,141,141,140,140,138,136,135,134,132,131,129,127,125,123,122,121,119,119,117,117,
115,116,114,114,115,114,116,115,117,117,116,117,118,117,118,116,117,116,114,115,112,112,109,110,
106,106,104,102,101,100, 99, 98, 98, 96, 97, 96, 97, 97, 98, 99,100,102,104,104,108,108,111,111,
114,114,117,118,117,119,118,119,117,119,118,117,117,116,116,116,117,116,117,117,118,118,120,120,
121,123,124,126,128,129,130,132,133,135,135,137,138,139,139,140,141,140,141,140,141,140,140,140,
138,138,137,137,136,135,135,135,135,134,134,135,135,136,136,138,138,140,141,142,144,144,146,146,
148,147,146,148,145,146,143,144,140,141,137,137,134,134,131,131,128,129,126,127,126,126,125,125,
125,125,126,126,128,127,129,128,130,131,131,132,131,133,131,132,131,132,129,130,127,128,126,126,
125,124,124,124,123,123,122,123,124,123,125,124,126,126,128,127,130,131,131,133,135,136,136,138,
138,139,139,140,139,140,138,139,137,138,136,135,135,133,133,132,133,132,133,131,133,132,133,134,
134,135,137,137,138,139,140,140,142,141,142,142,142,141,142,141,140,139,138,136,135,133,131,131,
128,128,125,124,124,122,122,120,120,118,119,117,118,118,118,118,118,118,118,118,117,118,118,117,
118,117,117,116,115,115,112,112,110,110,107,108,105,105,103,103,102,102,102,101,101,102,101,103,
103,104,106,105,108,108,111,111,111,113,114,113,115,115,114,115,113,114,112,113,111,112,110,111,
110,109,111,110,112,112,112,114,116,115,119,118,122,123,124,126,127,129,130,131,132,133,133,135,
136,135,136,136,136,136,136,135,135,134,134,134,133,133,133,132,133,132,133,133,134,133,135,136,
136,138,138,140,141,141,143,143,145,145,145,145,145,144,144,143,142,141,140,140,137,137,134,135,
133,132,132,131,130,130,129,130,130,129,131,130,132,131,133,132,134,135,134,135,135,136,135,134,
134,133,132,132,130,129,128,126,125,125,124,123,122,122,121,122,122,122,123,123,125,124,126,127,
128,129,131,130,133,133,133,135,135,137,136,137,136,138,136,137,136,135,135,135,133,133,132,132,
131,131,131,130,131,130,132,131,133,133,133,135,137,136,138,139,139,140,141,140,141,140,141,140,
139,138,137,136,134,135,132,132,129,130,127,126,126,125,125,123,124,122,123,122,123,122,123,122,
124,123,124,123,125,123,124,123,123,122,122,121,120,118,117,115,113,113,110,111,109,108,106,106,
105,103,103,102,103,101,103,102,103,104,104,106,106,108,110,109,112,111,114,113,115,114,115,114,
114,113,113,112,112,111,111,111,109,110,109,108,110,109,111,110,113,112,116,116,118,120,121,123,
124,126,127,129,129,131,131,132,132,133,132,133,132,133,131,133,131,132,131,131,132,131,132,131,
132,132,132,133,133,134,134,136,137,137,139,139,141,142,142,144,144,146,145,147,146,147,145,146,
143,144,141,142,139,139,137,137,135,136,134,134,132,133,132,132,131,132,131,132,132,133,134,134,
134,135,135,136,135,136,135,136,134,134,134,132,132,130,129,128,127,127,124,125,123,124,123,123,
123,123,124,124,126,125,127,126,129,128,131,130,131,133,132,134,133,135,134,135,135,135,134,135,
133,134,131,132,130,130,131,129,130,128,129,129,129,129,129,128,130,131,131,132,133,134,135,136,
138,137,140,140,140,141,140,141,140,141,138,139,136,137,135,134,133,133,131,131,129,129,127,127,
127,125,126,125,126,125,126,125,126,125,126,125,126,124,125,124,125,123,123,123,121,121,118,119,
115,116,113,113,111,111,110,108,108,106,106,105,105,105,104,105,104,105,105,106,107,106,108,107,
110,109,110,111,111,113,112,113,113,112,112,111,111,110,111,109,110,109,108,109,107,108,108,109,
109,110,111,113,114,116,118,119,121,122,123,125,125,127,128,128,129,130,128,130,129,130,129,129,
129,129,129,129,129,130,129,131,130,131,131,132,132,133,133,135,135,136,136,138,138,139,140,140,
142,142,142,143,143,144,143,142,142,141,141,141,140,140,139,138,137,137,135,136,135,134,135,134,
135,134,135,135,134,135,135,136,137,137,136,137,137,138,137,138,137,136,135,135,133,133,130,131,
129,129,127,127,125,126,125,123,124,124,124,124,125,124,127,126,128,127,129,129,130,131,130,132,
133,132,133,133,134,133,133,133,133,134,132,134,132,133,132,133,132,133,131,132,131,132,133,132,
134,133,135,134,136,136,136,138,138,139,139,140,140,141,140,141,139,140,139,138,138,137,137,136,
135,135,133,134,131,132,130,131,130,130,128,129,129,129,129,129,128,128,128,128,127,128,127,128,
126,127,125,126,123,124,122,121,120,119,118,117,117,115,115,113,113,112,110,110,109,109,108,107,
107,106,107,106,107,106,107,106,108,107,109,108,109,108,110,109,110,109,110,109,110,109,110,109,
110,110,108,109,108,109,108,110,110,110,112,111,114,113,116,116,119,119,120,122,124,123,125,125,
126,127,126,126,126,126,126,126,126,127,126,127,127,126,128,127,129,129,129,130,131,131,131,133,
133,134,134,135,135,136,136,138,139,138,140,139,140,139,140,139,140,139,140,139,140,139,139,138,
138,137,138,138,136,137,137,136,137,137,136,137,135,136,135,136,135,136,135,135,136,134,135,134,
134,133,132,131,131,130,130,130,129,127,127,126,126,124,124,125,124,124,124,125,125,126,126,128,
128,129,129,130,131,130,131,131,132,132,131,132,130,131,130,131,130,131,130,131,130,131,131,130,
131,130,132,131,133,133,134,134,135,134,136,135,137,137,139,138,140,139,141,140,141,140,141,140,
140,139,139,139,138,138,136,137,135,136,134,135,134,133,133,132,133,132,133,132,133,133,132,133,
132,133,133,131,132,131,131,130,129,128,127,127,124,124,123,121,120,119,118,118,115,116,114,114,
112,113,111,112,111,111,112,110,111,110,111,111,111,109,110,110,110,110,110,109,109,108,108,107,
108,106,107,106,107,106,107,107,106,107,107,105,106,106,106,107,107,108,108,110,110,112,112,114,
115,116,117,119,120,121,121,123,122,124,123,124,124,124,124,123,124,123,124,124,125,125,124,125,
125,127,128,128,130,129,131,131,133,133,134,135,136,136,138,137,138,138,138,138,138,138,138,137,
137,137,137,137,136,136,136,135,135,134,135,135,134,135,135,136,136,137,136,137,137,138,137,139,
138,139,138,139,137,137,137,136,136,135,135,135,134,133,133,132,132,130,130,130,129,127,128,126,
127,127,126,127,127,128,128,127,129,129,130,131,131,132,131,132,131,132,131,132,131,132,130,131,
130,131,131,130,131,130,131,131,132,132,132,133,133,134,134,135,135,136,135,137,137,138,138,139,
139,140,140,139,140,140,139,140,138,139,138,137,138,138,136,137,136,135,136,135,135,134,135,134,
135,134,135,134,135,134,134,135,134,135,134,135,134,134,132,133,131,132,130,130,127,128,125,126,
124,123,122,122,119,120,119,117,118,116,117,116,115,115,114,114,114,113,114,112,113,113,112,111,
111,110,110,109,109,108,106,107,106,106,105,106,105,105,104,105,104,105,105,104,106,106,106,107,
107,106,108,107,109,109,111,110,113,113,113,115,115,117,117,118,118,119,120,119,121,120,121,120,
121,121,120,121,120,121,121,122,122,123,124,125,125,125,127,126,129,128,130,130,132,131,132,133,
132,134,133,135,134,135,134,135,134,136,134,136,135,134,135,134,135,134,136,135,136,136,137,137,
137,138,138,139,138,140,139,140,139,140,139,139,138,138,136,137,135,136,134,135,133,134,134,133,
132,131,131,131,130,130,129,128,128,127,128,127,128,128,128,129,128,129,130,129,131,130,131,131,
130,131,130,131,130,129,130,129,130,129,129,129,127,128,127,128,128,127,129,129,129,130,129,131,
131,132,132,133,133,134,134,136,136,136,137,136,137,136,137,137,138,137,137,138,136,137,136,137,
135,136,135,136,135,136,136,135,136,135,136,135,137,136,137,137,136,137,136,137,136,137,136,135,
135,134,134,134,132,132,130,130,128,128,125,125,124,123,121,121,119,120,118,118,117,117,117,116,
117,115,116,116,116,115,116,115,116,115,115,113,113,112,112,112,110,110,109,109,109,108,106,107,
106,106,106,106,105,106,106,105,106,105,106,105,107,107,107,108,108,109,109,111,111,112,114,114,
114,116,116,117,118,117,118,117,118,118,118,119,119,118,119,118,120,119,121,120,123,123,123,125,
125,127,127,129,129,131,132,132,134,133,135,136,135,136,135,137,136,136,136,136,134,135,135,134,
134,134,133,134,133,133,134,133,135,134,136,136,136,138,138,139,139,139,140,139,140,139,139,139,
139,138,138,137,137,136,136,135,134,135,133,133,131,132,130,131,129,129,129,128,128,128,127,128,
129,128,130,129,131,131,132,132,132,132,131,132,131,132,131,132,130,130,130,128,129,128,128,127,
128,127,128,127,127,128,127,129,129,130,131,132,132,134,134,135,135,137,137,138,138,138,139,138,
139,139,138,139,138,139,137,138,138,137,137,137,136,136,136,136,136,135,136,134,136,135,136,136,
135,136,136,137,137,136,137,137,137,137,136,135,135,134,134,134,132,132,130,131,128,129,127,127,
126,124,124,123,123,121,121,120,121,120,119,120,119,120,119,119,118,119,117,117,115,116,115,114,
113,112,111,110,109,109,108,107,107,106,106,105,105,105,104,105,104,105,104,105,105,104,106,105,
107,106,108,108,109,108,110,110,112,112,112,114,115,115,115,116,115,117,117,117,116,117,116,117,
117,118,118,119,120,119,121,120,122,122,124,125,125,127,127,128,129,129,131,131,131,133,132,133,
133,134,133,134,133,134,133,134,134,133,134,133,134,133,134,134,134,135,135,136,136,138,139,138,
139,139,140,139,140,140,139,140,139,138,138,137,137,137,135,136,135,134,134,133,134,133,131,132,
131,130,131,129,130,129,129,130,130,130,130,129,130,129,130,130,131,130,131,130,131,130,131,131,
129,130,129,130,129,128,129,127,128,128,127,128,127,129,128,129,129,130,130,132,131,132,134,133,
135,134,135,135,136,135,136,136,137,137,136,136,136,135,136,134,135,135,134,135,134,135,135,134,
136,135,136,136,137,137,138,138,139,138,140,140,139,140,139,140,138,139,138,138,137,137,136,135,
135,133,133,131,131,129,129,127,127,125,125,125,123,123,122,122,121,122,122,120,121,120,121,121,
120,121,119,119,117,118,116,116,115,114,113,111,111,110,108,109,107,107,106,107,107,105,107,105,
107,106,108,107,109,108,109,109,110,109,110,110,111,111,110,111,110,111,111,112,111,112,113,112,
113,112,114,113,114,113,114,113,115,114,116,116,116,117,118,120,121,121,123,123,125,125,128,127,
129,130,131,131,132,132,133,132,133,134,133,134,133,134,133,134,133,133,133,133,132,131,132,131,
133,133,133,134,134,135,136,137,137,139,138,140,139,141,140,140,140,139,140,139,139,138,138,138,
136,137,135,136,134,135,133,134,134,132,133,132,133,131,132,131,132,131,133,133,132,133,133,132,
133,132,133,132,133,132,132,131,131,130,129,130,128,128,127,127,126,125,125,124,125,123,125,125,
126,126,127,126,128,127,130,130,130,132,132,134,134,135,135,135,136,136,135,136,136,136,135,135,
134,134,134,132,133,132,133,131,133,132,133,133,134,134,135,134,136,135,137,138,137,138,138,139,
138,139,138,138,138,137,137,136,134,135,133,133,132,131,131,129,128,129,127,127,126,126,126,125,
126,125,126,125,127,126,127,126,127,126,127,126,126,125,125,124,122,122,119,119,117,116,113,113,
111,111,108,108,107,107,106,106,107,106,107,106,108,107,109,108,110,109,110,109,111,110,111,110,
111,111,112,111,112,112,112,112,112,111,112,111,112,110,112,110,112,112,112,113,113,114,115,116,
116,118,118,120,122,121,124,124,126,127,127,127,129,128,130,130,129,131,130,131,130,131,130,131,
129,130,130,130,130,130,130,130,131,131,132,133,134,135,135,137,138,139,139,141,141,143,142,142,
143,143,143,142,142,141,141,140,140,138,138,137,137,135,135,134,134,134,133,132,133,132,133,132,
133,132,134,133,134,133,134,133,134,135,134,135,133,135,134,133,134,133,133,131,131,130,129,129,
127,128,126,127,125,126,125,126,125,126,126,127,128,128,129,129,131,130,132,132,133,133,134,133,
134,133,134,134,134,134,132,133,131,131,131,129,129,128,129,127,128,127,129,129,129,130,130,131,
133,133,134,135,136,137,138,138,139,139,139,140,138,140,139,140,139,139,137,138,135,136,134,134,
133,132,131,130,130,129,128,128,128,127,127,127,126,127,126,127,127,128,127,128,127,128,127,126,
127,125,125,125,123,121,120,118,117,116,114,114,111,111,110,110,109,109,109,109,110,109,110,109,
111,110,112,111,112,112,113,112,113,112,113,113,112,113,112,113,111,112,111,111,110,111,110,110,
109,110,109,110,109,110,110,111,112,112,114,114,116,115,118,118,120,120,122,123,123,125,124,126,
126,127,128,127,128,128,129,129,129,129,128,129,128,129,128,129,128,129,129,130,131,131,132,132,
133,134,135,136,135,137,136,137,138,137,139,139,138,139,137,138,137,137,135,136,134,135,134,135,
135,133,134,133,134,133,135,134,135,135,134,135,135,136,135,136,136,135,136,136,137,136,136,135,
136,135,135,135,133,133,132,130,130,129,129,127,127,126,125,126,126,125,126,124,126,126,126,126,
127,128,128,129,128,130,130,131,131,132,132,133,132,133,132,133,132,131,132,131,132,131,131,130,
132,130,132,132,131,132,133,132,134,133,135,135,135,137,137,136,137,137,137,138,137,138,136,137,
136,135,136,134,135,133,134,132,133,131,132,130,131,129,130,130,129,129,128,129,130,129,130,129,
130,129,130,129,130,130,129,130,128,129,127,128,125,126,123,124,122,120,119,117,117,115,115,114,
114,112,113,113,113,112,113,112,113,112,113,112,113,113,112,113,112,113,112,113,112,112,111,111,
111,111,111,110,111,111,110,110,111,110,111,111,112,112,112,112,114,113,115,115,116,118,117,119,
120,119,121,121,120,122,122,122,123,123,122,123,122,124,123,124,124,124,125,124,125,125,125,126,
126,125,127,127,127,129,129,131,131,132,133,133,135,134,136,136,137,138,138,137,138,139,139,139,
138,137,138,138,137,136,137,135,136,136,135,136,135,136,136,136,136,137,137,136,137,136,137,136,
136,135,135,135,134,135,133,134,133,134,132,133,131,132,130,131,129,130,130,128,129,128,129,128,
129,129,129,129,129,130,130,129,131,130,131,130,132,131,132,131,132,132,132,132,132,131,132,131,
131,130,131,130,130,129,130,129,129,128,129,128,130,129,130,129,131,131,131,133,132,134,134,133,
135,134,136,135,136,135,136,135,136,135,135,134,135,134,134,133,134,133,133,132,133,132,133,133,
132,132,132,132,131,132,131,132,131,131,130,131,130,129,130,129,129,128,128,128,126,127,125,125,
123,123,121,121,120,118,118,117,115,115,115,114,115,114,115,114,115,114,116,115,116,115,116,115,
116,115,115,115,114,115,113,114,112,113,111,112,111,111,110,111,111,109,110,109,110,109,111,111,
111,112,112,113,114,113,115,115,116,115,117,116,117,117,118,117,119,118,119,119,120,119,121,121,
122,122,123,123,124,124,125,125,126,125,127,126,128,128,129,129,130,130,131,131,132,132,133,132,
134,134,134,135,134,135,135,135,134,135,133,134,133,134,133,133,132,133,132,133,132,133,132,133,
133,134,134,134,135,134,135,134,135,135,134,135,134,135,135,134,135,134,135,135,134,135,133,134,
133,134,132,133,133,131,132,131,132,131,131,131,130,131,131,129,130,129,130,129,129,128,129,128,
129,128,129,129,129,129,130,130,129,130,129,130,130,131,130,131,130,131,130,131,132,131,132,131,
133,132,133,133,134,133,135,134,135,136,135,136,136,137,137,137,137,137,137,136,136,136,135,136,
135,136,134,135,134,135,134,135,134,135,135,134,134,133,134,133,133,132,132,131,132,131,132,131,
131,132,131,132,130,131,131,130,130,129,129,127,127,126,125,125,123,123,122,121,121,119,120,118,
118,117,117,116,116,116,114,115,113,114,113,114,112,113,112,112,111,111,111,110,110,109,110,110,
109,110,109,110,109,110,111,110,112,111,113,113,113,114,115,115,114,116,115,117,117,117,118,118,
119,118,119,120,119,120,120,121,121,120,121,122,121,122,122,123,123,123,124,123,125,124,125,126,
125,126,126,125,127,127,127,128,128,129,130,130,132,131,133,132,134,133,134,135,135,134,135,134,
135,134,135,134,135,134,135,135,134,136,136,135,135,134,135,134,135,135,134,135,134,135,134,135,
134,134,134,133,133,132,133,133,132,131,132,132,131,132,130,131,131,131,131,130,131,130,131,129,
130,129,130,130,129,130,129,130,129,130,129,130,130,130,131,130,132,131,132,131,132,131,131,132,
131,132,130,131,130,131,130,131,130,131,130,131,130,131,130,131,132,131,133,132,133,134,133,135,
134,135,135,136,135,136,135,136,135,136,136,137,136,137,136,137,136,137,136,137,137,136,136,136,
135,135,133,134,132,133,132,132,131,132,131,132,131,131,131,131,129,130,129,129,128,128,127,126,
124,125,123,123,122,121,120,120,119,117,118,116,117,116,117,116,116,116,116,115,114,115,114,113,
114,113,114,113,114,113,113,112,113,113,112,112,111,111,110,111,110,111,110,111,110,111,110,111,
111,112,112,112,113,112,113,113,114,114,114,115,116,115,116,116,117,117,118,118,120,119,121,121,
121,123,123,124,124,125,125,125,126,126,127,126,127,128,128,129,129,130,130,131,131,133,134,134,
133,135,134,136,135,136,135,136,136,135,136,135,136,135,135,136,134,135,134,135,134,133,134,133,
133,134,134,135,135,134,135,135,134,135,134,135,135,134,135,134,135,135,133,134,133,134,133,134,
134,133,133,132,132,131,131,130,130,129,129,129,128,129,128,128,128,127,128,127,129,129,128,129,
129,128,130,129,130,131,130,131,131,130,132,131,132,131,131,131,130,131,131,129,130,129,130,129,
131,130,131,130,132,131,133,132,134,134,135,136,135,137,136,137,137,137,137,137,137,137,137,137,
137,137,135,136,135,135,134,133,133,132,132,131,132,130,131,130,131,130,131,130,131,130,132,131,
132,132,131,133,132,131,132,131,131,130,130,130,128,127,126,125,124,123,121,121,120,120,119,118,
117,117,116,117,116,116,116,114,115,114,115,114,115,114,113,114,113,113,112,113,111,112,110,110,
111,109,110,109,109,108,109,108,109,108,110,109,111,111,111,112,113,112,114,113,115,116,115,117,
116,118,117,119,119,119,120,121,121,122,122,123,122,124,124,123,124,123,124,124,123,124,123,125,
125,125,126,126,126,127,127,129,129,131,131,132,133,133,132,134,133,134,135,135,136,135,136,135,
136,136,135,136,135,136,135,136,135,136,135,136,135,136,136,135,136,136,135,136,135,136,136,136,
135,136,135,135,134,134,135,134,135,134,135,134,134,133,133,132,132,131,131,130,131,130,129,130,
129,130,129,130,129,130,129,130,131,131,131,130,131,130,132,132,131,132,131,132,131,131,132,131,
131,131,130,129,130,128,128,129,128,128,128,128,128,129,128,129,129,131,131,131,132,132,133,132,
133,132,133,133,134,134,133,134,135,134,135,134,135,134,135,134,135,133,134,134,133,134,133,133,
132,133,133,132,133,132,133,133,134,133,134,133,134,132,133,132,133,132,132,131,130,129,128,127,
126,125,125,123,123,121,122,121,120,120,119,119,119,118,119,118,117,118,117,118,118,116,117,117,
116,117,115,116,115,115,113,114,112,113,111,111,111,110,111,110,110,110,109,110,109,110,111,111,
112,111,112,112,113,112,113,113,114,113,114,114,115,115,115,116,117,116,117,117,118,118,119,119,
119,118,120,119,120,120,121,121,121,122,122,123,125,124,126,127,127,127,129,128,130,131,130,132,
131,133,133,133,134,134,133,134,133,134,133,134,133,134,134,133,134,133,134,134,134,135,135,135,
136,135,136,136,137,137,136,137,136,137,136,137,136,137,136,136,136,135,136,136,134,135,133,133,
134,132,133,132,133,132,133,131,132,132,131,132,132,132,131,130,131,130,130,130,129,130,129,130,
130,130,129,130,128,129,128,129,128,128,127,128,128,128,128,126,128,126,128,127,128,127,129,129,
130,130,131,131,132,132,133,133,132,134,133,134,134,134,133,134,133,134,133,134,134,133,134,133,
134,133,134,134,134,133,134,132,133,133,132,133,132,133,132,133,132,133,132,133,132,133,132,133,
132,134,132,133,131,132,130,131,130,129,129,127,128,126,127,125,126,125,125,125,124,124,124,123,
123,123,122,122,121,122,121,120,120,120,119,119,118,118,116,117,115,115,114,113,113,112,112,111,
111,110,111,109,111,109,111,110,112,111,113,113,114,113,114,114,115,114,115,114,116,115,116,116,
115,116,116,117,116,117,117,116,118,117,118,117,119,118,120,120,120,121,121,122,121,123,123,123,
124,125,124,126,125,126,127,127,128,128,129,129,130,131,130,131,131,132,132,132,132,133,132,133,
132,134,133,134,135,135,135,136,136,137,136,138,138,138,138,137,137,137,137,136,137,137,136,135,
136,135,135,135,133,134,133,134,133,133,133,131,132,131,132,131,132,131,132,131,132,132,130,131,
130,131,130,131,129,130,130,130,129,130,129,129,128,129,128,129,130,129,130,129,130,130,129,130,
129,130,130,131,130,131,131,130,132,131,132,131,132,131,132,132,131,132,131,132,132,131,132,132,
131,132,131,132,132,132,132,131,133,132,133,134,133,135,135,134,136,136,135,136,135,136,136,136,
135,135,134,135,134,135,135,134,135,133,134,133,133,132,132,130,131,130,130,129,128,127,128,126,
127,126,127,126,125,126,125,124,124,123,123,123,121,122,120,121,119,120,119,119,118,117,117,117,
115,116,114,115,114,112,113,112,111,112,111,112,112,111,113,112,113,113,113,114,114,115,115,115,
114,115,115,115,115,114,115,114,115,115,114,115,114,115,114,115,115,116,115,116,117,116,118,118,
120,120,120,122,121,123,122,124,123,124,125,125,125,125,127,127,128,128,127,129,128,129,129,130,
130,129,130,129,130,129,131,131,131,131,132,131,132,132,133,132,133,134,133,134,132,134,132,133,
132,133,132,134,134,133,134,133,134,133,133,133,133,132,133,132,133,132,133,132,133,133,133,134,
133,135,133,135,134,133,134,133,133,133,132,132,131,131,131,129,130,129,129,129,128,128,127,128,
127,128,128,127,129,128,129,128,130,130,130,130,129,131,131,131,130,131,130,131,129,131,131,129,
131,130,131,130,131,130,131,131,131,131,131,132,131,132,131,132,133,133,133,134,134,135,136,135,
137,137,137,136,136,136,134,135,133,134,133,133,132,132,131,132,131,131,130,131,131,130,131,131,
129,130,131,129,131,131,130,131,130,131,131,130,130,130,128,129,127,128,127,125,126,124,124,123,
122,122,120,120,119,119,118,118,117,116,117,116,115,116,115,115,115,114,115,114,116,116,115,116,
116,115,116,115,115,114,115,115,114,115,115,114,114,114,113,114,113,114,113,114,113,114,114,115,
115,116,117,117,118,119,120,121,121,122,123,123,122,124,123,124,124,124,124,124,123,124,123,124,
123,124,123,124,124,125,124,125,126,125,127,126,128,128,128,129,130,130,132,131,133,133,134,134,
135,135,134,135,134,135,135,134,135,134,135,134,134,134,133,134,133,134,132,133,132,132,133,132,
133,133,133,133,133,134,133,135,134,135,134,135,134,133,134,134,133,134,133,132,132,131,131,130,
131,129,130,129,128,129,127,128,127,128,129,128,129,128,130,130,130,131,131,132,132,131,132,131,
132,131,131,130,131,130,131,130,131,130,131,129,130,129,130,130,129,130,129,130,129,130,130,130,
131,130,132,131,133,134,133,135,134,136,135,135,135,134,135,135,135,133,134,133,133,132,132,133,
132,132,131,132,131,132,131,132,131,132,131,132,132,133,132,133,132,133,132,133,132,132,132,130,
131,129,128,129,127,127,126,126,125,124,123,122,121,121,120,119,119,119,119,118,118,118,118,118,
118,118,119,119,119,119,118,118,118,118,117,117,117,117,116,116,115,115,115,114,114,113,113,113,
112,112,112,111,112,111,112,111,112,112,113,113,114,115,116,116,117,118,119,119,120,120,120,121,
121,121,121,121,121,121,121,121,121,121,121,121,122,122,122,123,123,124,125,125,126,125,128,127,
129,129,130,131,132,133,133,133,133,134,133,134,133,133,133,133,133,133,132,132,132,132,131,131,
131,131,131,131,131,131,131,131,132,132,132,133,133,134,134,135,135,135,135,135,135,135,135,135,
135,135,134,134,133,133,132,132,131,131,130,130,129,128,128,127,128,127,128,127,128,128,129,129,
130,130,130,131,131,131,131,131,131,131,130,130,130,130,129,129,129,129,128,128,128,128,128,127,
128,128,128,128,128,128,128,128,129,129,130,131,132,132,133,134,134,135,135,135,135,135,135,135,
135,135,134,134,133,133,133,132,132,132,131,131,131,131,131,130,131,130,131,131,132,132,132,133,
133,133,134,134,134,134,133,133,133,133,132,132,131,131,130,129,128,127,127,127,126,125,124,123,
123,122,122,121,121,121,121,121,121,120,120,120,120,120,119,119,118,118,118,117,117,117,116,116,
115,115,114,114,113,113,113,112,112,112,111,111,111,111,111,111,112,111,112,113,113,114,115,115,
116,117,117,118,118,119,119,120,120,121,120,121,121,121,120,120,120,120,120,120,120,120,120,120,
121,121,122,122,124,124,125,126,127,127,128,128,129,130,130,131,131,131,131,132,132,132,132,132,
132,132,132,132,132,131,131,131,131,131,131,131,131,131,131,132,132,133,133,134,134,135,135,135,
135,136,135,136,135,136,135,135,135,135,134,134,133,133,133,132,131,131,130,130,129,128,128,128,
127,128,128,127,128,128,129,129,130,130,131,131,131,132,132,132,132,132,132,132,131,131,130,130,
130,129,129,128,128,128,128,128,128,128,128,127,128,127,128,128,129,129,130,130,131,131,132,132,
132,133,133,134,134,134,134,134,134,134,133,133,133,133,132,132,132,132,132,131,131,131,131,131,
131,131,132,132,133,133,134,135,135,135,135,136,135,136,135,135,134,134,134,133,132,132,131,130,
129,129,128,128,127,126,125,124,124,123,123,122,122,122,122,122,122,122,122,122,122,122,121,121,
121,121,120,120,119,119,118,118,117,117,116,116,115,115,115,114,114,114,113,113,113,113,113,113,
113,113,113,113,114,114,114,114,115,115,116,116,116,117,117,117,117,117,117,117,117,117,117,117,
117,117,117,117,117,117,118,118,119,119,120,120,121,122,123,124,125,126,127,128,127,128,129,130,
130,130,130,131,131,131,131,131,131,131,131,131,130,130,130,130,130,129,129,129,129,129,130,130,
130,131,131,132,132,133,133,134,134,134,134,134,134,134,134,134,134,134,133,133,133,133,133,133,
132,132,132,131,131,130,130,129,129,129,129,129,129,129,129,129,130,130,130,131,131,131,131,131,
131,131,131,131,130,130,130,129,129,129,128,128,128,128,128,127,128,127,128,127,128,128,128,128,
129,129,130,130,131,131,132,132,132,133,133,134,134,134,134,134,134,134,134,134,134,134,133,133,
133,133,132,132,131,131,131,130,131,131,131,131,131,131,132,132,132,133,133,133,133,133,133,133,
133,133,133,132,132,132,131,131,130,130,129,128,128,127,127,126,126,125,125,125,125,125,125,125,
125,125,125,125,125,125,124,124,124,124,123,122,122,121,120,120,119,119,118,117,117,116,116,115,
115,114,114,113,113,113,113,113,113,113,113,114,114,114,115,115,116,116,116,117,117,118,118,118,
118,118,119,119,119,119,119,119,119,119,118,118,118,118,118,118,118,118,119,119,120,120,121,122,
123,124,124,125,126,126,127,127,128,128,128,128,128,129,129,129,129,129,129,129,129,129,128,128,
128,128,128,128,128,128,128,128,128,129,129,130,131,131,132,132,133,133,133,134,133,134,134,134,
134,134,134,134,134,134,134,134,133,133,132,132,131,131,130,130,129,129,129,129,129,128,129,129,
129,129,130,130,131,131,131,132,132,132,132,132,132,132,132,132,132,132,131,131,130,130,130,129,
129,129,129,129,129,129,129,129,129,129,130,130,130,130,131,131,131,132,132,132,132,132,132,133,
133,133,133,133,133,133,132,132,132,132,131,131,131,130,130,130,130,130,130,130,131,131,131,132,
132,132,133,133,133,134,134,134,134,134,134,134,134,134,133,134,133,132,131,131,130,129,128,128,
127,127,127,126,126,125,125,125,125,125,125,125,125,125,125,125,125,124,124,124,123,123,122,122,
121,121,120,120,119,118,118,117,116,116,115,115,115,114,114,114,114,114,114,114,114,115,115,115,
115,115,115,115,115,116,116,116,116,116,116,116,116,116,116,116,116,116,116,115,115,115,115,115,
115,115,116,116,117,117,118,118,119,120,121,121,122,123,124,124,125,126,126,126,127,127,127,128,
127,128,127,128,127,128,127,128,128,127,128,127,127,128,127,128,128,128,129,130,130,131,131,132,
132,133,133,133,133,133,133,134,133,134,134,134,133,133,133,133,133,133,132,132,132,131,131,131,
131,131,131,131,131,131,132,132,132,132,132,132,132,133,133,133,133,133,133,133,132,132,132,131,
131,130,129,129,128,127,128,127,127,127,127,127,128,127,127,128,128,128,128,129,129,130,130,130,
131,131,131,131,131,132,132,132,132,132,132,132,132,132,132,131,131,131,131,130,130,130,130,130,
130,130,131,131,131,132,132,133,133,133,134,134,134,134,134,135,135,135,135,135,135,135,135,135,
134,134,133,132,131,131,130,130,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,127,128,127,127,127,126,125,124,123,122,122,120,119,119,118,117,117,117,116,116,115,
116,115,116,115,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,
115,115,115,115,115,115,115,115,116,115,115,115,116,116,117,118,119,119,120,121,121,122,123,123,
124,124,125,125,125,126,126,126,126,127,127,127,127,127,127,126,127,126,127,127,127,128,128,128,
128,129,130,130,131,132,132,133,133,134,134,135,135,135,135,135,135,135,135,135,134,134,133,133,
133,132,132,132,132,131,132,131,132,132,132,132,132,132,132,132,132,133,133,133,133,133,133,133,
133,133,133,133,132,132,132,132,131,130,130,129,129,128,128,128,128,128,128,127,128,128,128,128,
129,129,130,130,130,131,131,131,131,132,132,132,132,132,131,131,131,131,131,131,130,130,130,129,
129,129,129,128,129,128,129,129,129,129,130,130,131,132,132,133,133,134,134,134,134,135,134,135,
134,135,134,134,134,134,134,134,133,133,132,132,131,131,131,130,130,130,130,130,130,130,130,130,
130,130,130,130,130,130,130,130,130,130,129,129,128,128,127,128,127,127,125,125,123,123,122,121,
120,119,119,118,118,118,118,117,118,117,118,118,118,118,118,118,118,119,118,118,118,118,117,117,
117,117,117,117,117,116,116,115,115,114,114,113,114,113,114,113,114,114,115,115,116,116,117,118,
118,118,119,120,120,121,121,122,122,123,123,123,123,124,124,124,124,124,124,124,124,124,124,123,
124,124,124,124,125,125,126,126,127,128,128,129,129,130,131,131,132,132,132,133,133,133,133,134,
133,133,133,133,132,132,131,130,130,129,129,129,129,128,129,129,129,130,130,131,131,132,132,132,
133,133,133,134,134,134,134,134,134,134,134,134,133,133,133,133,132,131,130,130,129,128,128,128,
127,128,127,128,128,127,128,127,128,128,129,130,130,130,131,131,131,132,131,132,131,131,131,131,
131,131,130,130,129,129,129,128,128,127,128,127,128,128,128,128,128,128,129,129,130,131,131,132,
132,133,133,133,133,134,133,134,133,133,133,133,133,133,132,132,131,131,130,130,129,129,129,128,
128,128,128,128,129,129,129,130,130,130,130,131,131,131,131,131,130,130,130,130,130,129,129,129,
128,127,127,126,125,125,124,123,122,121,121,120,120,120,120,120,120,120,120,121,121,121,121,122,
121,122,121,121,121,121,120,120,119,119,119,119,118,117,117,116,116,115,115,115,115,115,115,115,
116,116,117,117,118,118,119,119,119,120,120,121,121,122,122,122,122,122,122,122,122,122,122,121,
121,121,121,120,120,120,120,120,121,121,121,122,122,123,124,124,125,126,127,127,128,128,129,129,
130,130,130,131,131,132,132,132,132,132,131,131,131,130,130,129,129,128,128,128,128,128,129,129,
130,130,131,132,132,133,133,134,134,135,135,135,135,135,135,135,134,134,134,134,133,133,132,131,
131,130,130,129,129,128,128,127,128,127,128,127,128,128,129,129,129,130,131,131,132,132,132,133,
133,133,133,133,133,133,133,132,132,131,131,130,130,129,128,128,128,127,128,127,128,127,128,127,
128,128,128,129,130,130,131,131,132,132,132,133,133,133,133,133,133,133,132,132,131,131,130,130,
129,128,128,128,128,127,127,127,127,127,128,127,128,128,129,130,130,131,131,131,131,132,132,132,
132,132,132,132,131,131,130,130,129,128,128,127,126,125,124,123,123,122,122,121,121,120,120,120,
121,121,121,122,122,123,123,123,123,124,124,124,124,124,124,124,123,123,122,121,120,120,120,119,
118,117,117,116,116,115,115,115,115,115,116,116,116,117,118,118,119,119,120,120,120,120,121,121,
121,121,121,121,121,121,121,121,120,120,120,120,120,119,120,119,120,120,120,120,120,121,122,122,
123,124,125,126,126,127,128,128,128,129,129,130,130,131,131,131,131,131,130,130,130,129,129,128,
128,128,127,127,127,127,127,128,128,128,129,129,130,131,132,133,133,134,134,135,134,135,135,135,
135,135,134,134,133,133,132,132,131,130,130,129,129,128,128,128,127,128,127,128,128,128,128,129,
129,130,130,131,131,132,132,132,132,133,133,133,132,132,132,132,131,131,130,129,129,128,128,127,
128,127,127,126,127,126,127,127,127,128,127,128,129,129,130,131,131,132,132,132,132,133,132,133,
132,133,132,132,131,131,130,129,129,128,128,128,127,127,127,127,128,127,128,127,128,128,129,130,
130,131,131,131,131,132,132,132,132,132,132,132,131,131,130,130,129,129,128,128,128,127,126,125,
125,124,124,123,123,123,123,123,123,123,124,124,124,124,124,125,125,125,125,126,125,125,125,125,
124,124,123,122,121,121,120,119,118,117,117,116,116,115,116,115,116,115,116,116,117,118,118,119,
120,120,121,121,121,122,122,122,122,123,123,123,122,122,122,122,121,121,121,121,121,120,120,120,
120,120,121,121,121,121,122,123,123,124,125,126,126,127,128,127,128,128,129,129,129,130,130,130,
130,130,130,130,129,129,129,128,128,128,128,127,128,127,128,127,128,128,129,129,130,131,132,133,
133,134,134,134,134,135,134,135,134,135,134,134,134,134,133,132,131,130,130,129,129,128,128,128,
127,128,127,128,128,128,128,128,129,129,129,130,130,131,131,131,131,132,132,132,132,132,131,131,
130,130,129,128,128,127,128,127,127,126,126,126,126,126,126,126,127,127,128,128,128,129,129,130,
130,131,131,132,132,133,132,133,132,133,132,132,131,131,130,130,129,129,128,128,127,128,128,127,
128,128,128,128,129,130,130,131,132,132,133,133,133,134,133,134,133,134,133,134,133,133,132,132,
131,130,129,129,128,128,127,127,126,126,126,125,125,125,125,125,125,125,125,125,125,125,125,126,
126,126,126,126,126,126,126,126,125,124,123,123,122,122,121,120,119,118,118,117,117,116,116,116,
116,116,117,117,118,118,118,119,119,120,120,121,121,122,122,122,122,122,122,122,122,122,122,122,
121,121,120,120,119,119,119,118,119,119,119,119,120,121,122,122,122,123,124,125,125,126,126,127,
127,128,127,128,128,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,
127,128,128,128,129,130,130,131,132,133,133,133,133,133,133,134,133,133,133,133,133,132,131,131,
130,129,129,128,128,127,128,127,128,127,128,127,128,128,128,129,129,129,130,130,130,131,131,132,
132,132,132,132,132,132,131,131,130,130,129,128,128,128,127,127,127,126,127,126,127,126,127,127,
127,128,127,128,129,129,130,130,131,131,132,132,132,133,133,133,133,133,132,132,132,131,131,130,
130,129,129,128,128,128,128,128,128,128,129,129,130,130,131,131,132,133,133,133,133,134,133,134,
134,134,133,133,133,133,133,132,131,131,130,129,129,128,128,127,128,127,127,127,127,127,127,127,
127,128,128,128,127,128,127,128,127,128,128,128,128,128,128,127,127,127,126,125,124,123,122,122,
121,120,120,119,119,118,118,117,117,117,118,118,118,118,119,119,119,120,120,121,121,122,122,122,
122,122,122,122,121,121,120,120,119,119,118,118,117,117,117,117,117,117,117,117,118,119,120,120,
121,122,122,123,123,125,125,126,126,127,127,128,127,127,128,128,127,127,127,127,127,126,126,126,
126,125,126,125,126,126,126,126,127,127,127,128,128,128,129,130,130,131,131,132,133,132,133,133,
133,133,133,133,133,132,132,131,130,130,129,129,128,128,128,128,128,128,128,128,129,129,129,130,
130,130,130,131,131,132,132,132,132,133,132,133,132,132,131,131,130,129,129,128,128,128,127,127,
127,126,127,126,127,127,127,127,127,128,128,128,129,130,130,131,131,132,132,132,132,133,132,132,
132,132,131,131,130,130,129,129,128,128,127,127,127,127,127,127,127,127,127,128,128,129,129,130,
131,132,132,132,132,133,133,134,134,134,134,134,133,133,132,132,132,131,130,130,129,128,128,128,
128,127,128,127,128,128,128,129,129,129,129,130,130,130,130,131,130,131,130,131,130,130,129,129,
128,127,127,126,125,124,124,123,123,121,121,120,120,119,119,119,119,119,119,119,120,120,120,121,
121,122,122,123,123,123,123,123,123,123,122,122,121,121,120,120,119,118,118,118,117,117,117,116,
116,116,116,116,117,117,118,118,119,119,120,122,122,123,123,124,124,125,125,125,125,126,125,125,
125,125,124,124,124,123,123,123,123,123,123,123,124,124,125,125,126,126,127,127,128,128,129,130,
130,132,132,132,132,133,133,133,133,133,133,133,132,132,132,131,131,130,129,128,128,128,128,128,
128,128,128,129,129,129,130,130,131,131,132,132,132,133,133,133,133,134,133,133,133,132,132,132,
132,131,130,130,129,128,128,127,128,127,127,127,127,127,127,128,128,128,128,128,129,129,129,130,
130,131,131,131,131,132,131,131,131,131,130,130,129,129,129,128,128,128,127,127,127,127,127,127,
127,127,127,128,128,128,129,129,130,130,131,131,132,132,132,132,132,133,133,133,132,132,132,132,
132,131,131,130,130,129,129,128,128,128,128,128,129,129,129,129,129,130,130,130,130,131,131,131,
131,131,131,131,131,130,130,130,129,129,128,127,128,127,126,125,125,124,123,123,123,123,123,122,
122,122,122,122,122,122,122,122,123,123,123,123,123,123,123,123,123,123,122,122,121,121,120,120,
119,119,119,118,118,117,117,117,117,117,117,117,117,117,118,118,119,119,119,120,121,121,122,123,
123,123,123,123,123,124,123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,124,124,
125,125,126,127,127,128,128,128,129,130,130,131,131,132,132,132,132,132,132,132,132,132,131,131,
131,130,130,129,129,129,129,129,129,129,130,130,130,131,131,132,132,132,132,132,133,133,133,134,
133,134,133,133,133,132,132,132,132,131,131,130,129,129,128,128,128,127,128,128,127,128,127,128,
128,128,129,129,130,130,130,131,131,132,132,132,132,132,132,132,132,131,131,131,130,130,130,129,
129,128,128,128,128,127,128,127,128,128,128,128,128,129,129,130,130,130,131,131,132,132,132,132,
132,132,132,132,131,132,132,132,131,130,130,129,129,128,128,128,128,128,128,128,128,128,129,129,
129,130,130,131,131,131,131,131,132,131,131,131,131,131,130,130,129,129,128,128,127,127,126,126,
125,124,124,124,124,124,124,123,123,123,123,123,123,124,124,123,124,123,124,124,124,124,123,123,
123,123,122,122,121,121,120,120,120,120,120,119,119,118,118,118,118,118,118,118,118,118,119,119,
119,120,120,120,120,121,121,122,122,122,122,123,122,123,122,122,122,122,121,121,121,120,120,120,
120,120,121,121,122,122,123,123,124,124,124,125,126,127,127,127,128,128,128,129,129,130,130,130,
130,130,130,130,130,129,129,128,128,128,128,128,128,128,128,128,128,128,129,129,129,130,130,131,
131,131,131,132,132,132,132,133,133,133,133,133,132,132,131,131,131,131,130,129,129,128,128,128,
128,128,128,128,128,128,128,128,129,129,130,130,131,131,131,132,132,133,132,133,133,133,132,132,
132,131,131,131,131,130,129,129,128,128,128,127,128,128,127,128,127,128,128,128,128,129,129,130,
130,131,131,131,131,132,132,132,132,132,132,132,132,131,131,131,131,130,130,129,129,128,128,128,
128,128,128,127,128,128,128,129,129,129,130,131,131,131,131,131,131,131,131,131,131,131,131,131,
130,129,128,128,127,127,127,126,125,125,124,124,124,124,124,124,124,124,124,124,124,124,125,125,
125,126,126,126,126,126,125,125,125,124,124,124,123,123,122,121,121,120,120,120,120,119,119,119,
119,118,119,118,119,119,119,119,120,120,120,120,120,121,121,122,122,123,123,123,123,123,123,123,
122,122,122,121,121,120,120,120,120,120,120,120,120,120,121,121,122,122,123,124,124,124,125,126,
126,127,127,128,127,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,
127,127,127,128,128,128,129,130,130,131,131,131,131,132,132,133,133,133,133,133,133,133,132,132,
131,131,131,130,130,129,129,129,129,128,128,128,128,128,128,128,129,129,129,130,130,131,131,131,
131,131,131,132,131,132,131,131,131,131,131,130,130,129,129,128,128,128,127,128,127,128,127,128,
127,128,128,128,129,129,130,130,131,131,131,131,131,132,132,132,132,132,132,132,131,131,131,131,
131,130,130,129,129,128,128,128,128,127,128,128,128,128,128,129,129,130,130,131,131,131,131,132,
132,132,132,132,132,132,131,131,131,131,130,129,129,128,128,128,127,127,127,126,126,125,125,125,
125,125,125,125,126,126,126,126,126,127,127,127,127,127,126,126,126,125,124,124,124,123,123,121,
121,121,121,120,121,120,120,120,120,120,120,120,120,120,120,121,121,121,121,121,121,122,122,122,
122,123,123,123,123,123,123,123,122,122,121,121,121,121,121,120,120,120,120,120,120,120,121,121,
121,121,122,123,123,124,124,124,125,126,126,127,127,128,128,128,128,128,128,128,128,127,127,127,
127,127,127,127,127,127,127,127,128,127,128,128,128,128,129,129,130,130,131,131,131,131,131,132,
132,132,132,132,131,131,131,131,131,130,130,130,130,129,129,128,129,128,128,128,128,128,128,128,
128,129,129,129,130,130,131,131,131,131,131,131,131,132,131,131,131,131,131,130,130,129,129,128,
128,128,128,128,127,128,127,128,127,128,128,128,128,129,129,130,130,131,131,131,131,131,131,131,
131,131,131,131,131,131,131,130,130,130,129,129,129,129,129,128,129,128,129,129,129,129,129,130,
130,131,131,131,131,131,131,132,132,132,132,132,132,132,131,131,131,131,130,129,129,128,128,128,
127,127,127,127,127,126,126,126,127,126,127,127,127,127,127,128,127,128,127,128,127,128,127,128,
127,127,126,126,125,124,124,123,123,122,121,121,121,121,121,120,121,120,121,121,121,121,121,121,
121,121,121,122,122,122,122,122,122,122,122,122,122,122,122,122,121,121,121,121,121,121,120,120,
120,120,120,120,120,120,121,121,121,122,122,123,123,124,124,125,125,126,126,127,127,127,127,127,
127,127,127,127,127,126,126,126,126,125,125,125,125,125,126,126,126,126,127,127,128,127,128,128,
129,129,130,131,130,131,131,131,131,132,131,131,131,131,130,131,130,130,130,130,130,129,129,129,
129,128,128,128,128,128,129,129,129,129,130,130,130,130,131,130,130,131,131,131,131,131,131,130,
131,130,130,130,129,129,129,128,128,127,128,127,128,127,128,127,128,127,128,128,128,129,129,130,
130,131,130,131,131,131,131,131,131,131,130,130,130,130,130,130,130,129,129,129,129,128,128,128,
128,128,129,128,129,129,129,130,130,130,130,130,130,131,131,132,132,132,132,133,132,132,132,131,
131,130,130,130,130,129,129,128,128,128,128,128,127,128,127,128,127,128,128,128,128,128,128,129,
129,129,129,130,129,130,129,129,128,128,127,127,126,125,125,124,124,122,122,122,122,121,121,121,
121,120,121,121,121,122,122,122,122,122,122,123,123,123,123,124,123,124,123,123,123,122,122,122,
122,122,122,121,121,120,120,120,120,119,119,119,120,120,120,120,121,121,122,122,122,123,123,124,
125,125,125,126,126,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,126,126,127,127,128,128,128,129,130,130,130,130,131,131,132,131,132,131,131,131,130,130,130,
130,129,129,128,128,128,128,127,128,127,128,128,128,128,128,128,129,129,129,130,130,130,130,130,
130,131,131,131,131,131,131,131,130,130,130,130,130,129,129,128,128,128,128,128,128,127,128,127,
128,128,128,129,129,129,130,130,130,130,130,131,131,132,131,131,131,131,131,130,130,130,130,130,
130,129,129,128,128,128,128,128,128,128,128,128,129,129,129,130,130,130,130,130,131,132,132,132,
132,133,133,133,133,133,132,132,131,131,131,130,130,130,129,129,129,128,128,128,128,127,128,127,
128,128,128,127,128,128,128,128,129,129,129,129,129,130,129,129,129,129,128,128,128,127,127,126,
125,125,125,124,123,122,122,122,122,122,122,122,122,122,122,123,123,123,123,124,124,124,124,124,
124,124,123,123,123,122,122,122,122,121,121,121,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,121,122,122,122,122,123,123,124,124,125,125,125,125,125,125,125,125,125,125,124,124,124,
124,123,123,123,123,123,124,124,124,125,125,125,125,126,126,127,127,127,128,129,129,130,129,130,
130,130,130,130,129,129,129,128,128,128,128,127,128,127,128,127,128,127,128,127,128,128,128,128,
128,129,129,130,130,130,130,131,131,131,131,131,131,131,130,130,130,130,130,130,129,129,128,128,
128,128,128,127,128,127,128,127,128,128,128,128,128,129,129,130,130,130,130,131,131,131,131,131,
131,131,131,131,130,130,130,130,130,129,129,129,129,128,129,128,129,129,129,129,129,130,130,130,
130,130,130,130,131,131,131,132,132,132,132,132,132,132,131,131,131,130,130,130,130,130,130,129,
129,129,129,129,129,129,129,129,129,129,130,130,130,130,130,130,130,130,130,131,131,131,130,130,
130,130,130,129,129,128,127,127,127,126,125,125,125,124,124,123,123,123,123,123,123,123,123,123,
123,124,124,124,124,125,124,125,124,124,124,123,123,123,123,123,122,122,121,121,121,120,120,120,
120,120,120,120,120,120,120,121,121,121,122,122,122,123,123,123,123,123,123,124,124,124,124,124,
123,123,123,123,123,123,123,122,123,122,123,122,123,123,123,123,123,124,124,125,125,125,126,127,
127,128,127,128,129,129,129,130,130,130,130,130,130,130,130,129,129,129,129,128,128,128,128,128,
128,128,128,128,128,129,129,129,129,130,130,130,130,130,130,131,131,131,131,131,131,131,130,130,
130,130,130,130,129,129,129,128,129,128,128,128,128,128,129,129,129,129,129,129,130,130,130,130,
130,130,130,131,131,131,131,131,131,131,130,130,130,130,130,129,129,129,128,128,128,128,128,128,
128,128,129,129,129,129,130,130,130,130,130,131,131,131,131,132,132,132,132,132,132,132,132,131,
131,131,131,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,
130,130,130,130,130,130,130,130,130,129,129,129,128,128,128,127,128,127,127,126,126,126,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,124,124,123,123,123,
123,122,122,122,122,121,121,121,121,121,121,121,121,121,121,121,121,121,121,122,122,122,122,123,
123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,122,123,123,123,123,123,123,123,123,
123,124,124,124,125,125,125,125,125,126,126,127,127,127,127,127,128,127,128,127,128,127,127,127,
127,127,127,127,127,127,127,127,127,128,127,128,128,127,128,128,128,129,129,129,130,130,130,130,
130,130,130,130,130,130,130,130,130,129,129,129,129,128,129,128,128,128,128,128,128,128,128,129,
129,129,129,129,129,129,129,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,
129,128,128,128,128,128,129,129,129,129,129,130,130,130,130,130,130,130,131,131,131,131,131,131,
131,131,131,131,130,130,130,130,130,130,130,129,129,129,129,129,129,129,129,129,129,129,129,130,
130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,128,128,128,128,
128,128,127,128,127,127,127,127,126,126,126,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,124,124,124,123,123,123,123,123,122,122,122,121,121,121,121,121,121,121,121,122,122,
122,122,122,123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,123,122,122,122,
122,122,122,122,122,123,123,123,123,123,123,123,123,124,124,125,125,125,125,126,126,127,127,127,
127,127,128,127,128,128,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128,128,128,129,
129,129,129,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,
129,128,129,128,129,129,129,129,129,129,130,130,130,130,130,130,130,131,131,131,131,131,131,131,
131,131,131,130,130,130,130,130,130,129,129,129,129,128,128,128,128,128,128,128,128,129,129,129,
129,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,
130,130,129,129,129,128,128,128,128,128,127,128,127,128,127,127,127,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,125,125,125,125,125,125,124,124,124,123,123,123,123,123,
123,122,122,122,122,122,122,122,122,122,122,122,122,123,123,123,123,123,123,123,123,123,123,123,
123,123,122,122,122,122,122,122,122,122,122,122,122,122,122,123,123,123,123,123,123,123,124,124,
125,125,125,126,125,126,126,126,126,127,126,127,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,127,127,127,127,128,127,128,128,128,128,129,129,129,129,130,129,130,129,130,129,129,130,
129,129,129,129,129,129,129,128,128,128,128,128,129,129,129,129,129,129,129,129,129,130,130,130,
130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,129,129,128,128,128,128,128,128,128,
128,128,128,128,129,129,129,129,129,129,130,130,130,131,131,131,131,131,131,131,131,130,130,130,
130,129,130,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,130,130,131,130,131,
131,131,131,131,131,131,130,130,130,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,127,127,126,126,126,126,126,125,
124,124,124,124,124,123,123,122,122,122,122,122,122,122,122,122,122,123,123,123,123,124,124,124,
124,124,124,124,124,124,124,124,123,123,123,122,122,122,122,122,122,122,122,122,122,122,122,122,
122,123,123,124,124,124,124,124,124,125,125,125,125,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,127,127,128,127,128,128,128,129,129,129,129,129,130,
130,130,130,130,130,129,129,129,129,129,129,128,128,128,128,127,128,128,127,128,127,128,127,128,
128,128,129,129,129,129,129,130,130,131,131,131,131,131,130,130,130,130,130,129,129,129,129,129,
129,129,129,129,129,128,128,128,128,128,129,129,129,129,129,129,129,130,130,131,131,131,131,131,
131,131,131,130,130,130,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,129,129,129,
129,129,130,130,131,131,131,131,131,132,132,132,132,132,131,131,131,130,130,129,129,129,129,128,
128,128,127,128,127,128,128,127,128,127,128,128,128,128,128,129,129,129,129,129,129,129,128,128,
128,127,128,127,127,126,126,126,126,125,125,124,124,124,124,123,123,123,123,123,123,124,124,124,
124,124,124,124,124,125,125,125,125,125,125,125,125,124,124,124,124,123,123,122,122,122,122,121,
121,121,121,121,121,121,122,122,122,122,123,123,124,124,124,125,125,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,125,126,126,126,126,126,127,128,
127,128,128,129,129,129,129,129,129,130,129,129,129,129,129,129,129,128,128,128,128,128,128,127,
127,127,127,127,127,127,127,128,128,128,129,129,129,130,130,131,131,131,131,131,131,131,131,131,
130,130,130,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,129,129,
129,129,130,131,131,131,131,131,131,131,131,131,131,130,130,129,129,129,129,129,129,128,128,128,
128,128,128,128,128,128,128,129,129,129,129,129,129,130,130,131,131,131,131,131,131,131,131,131,
130,129,129,129,129,128,128,127,128,127,127,127,127,127,127,127,127,128,127,128,128,128,129,129,
129,129,129,129,129,129,129,129,129,129,129,128,128,127,128,127,126,126,126,125,125,124,124,124,
124,124,124,124,124,124,124,124,124,124,124,124,124,125,125,125,125,126,125,125,125,125,125,124,
124,124,124,124,123,123,122,122,122,122,122,122,122,122,122,122,123,122,123,123,123,124,124,124,
124,125,125,126,125,126,126,126,126,125,125,125,125,124,124,124,124,124,124,124,124,124,124,124,
124,124,124,125,125,126,126,126,126,127,127,127,128,128,129,129,129,129,129,129,129,129,129,129,
129,128,128,128,128,128,128,127,128,128,127,127,127,128,128,127,128,128,128,129,129,129,129,130,
130,130,130,131,130,130,130,130,130,129,129,129,129,129,129,128,128,128,128,127,128,128,128,128,
128,128,128,129,129,129,129,129,129,130,130,131,131,131,131,131,131,131,130,130,130,129,129,129,
129,129,128,128,128,127,128,127,128,127,128,128,127,128,127,128,128,128,128,129,129,129,129,130,
130,130,130,131,131,131,131,130,130,130,129,129,129,129,129,128,128,128,127,128,128,127,128,127,
128,127,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,127,127,
127,126,126,126,126,125,125,125,125,125,125,125,125,125,125,125,125,126,126,126,126,126,126,126,
126,126,126,126,126,126,125,125,124,124,124,124,123,123,123,123,123,123,123,122,123,123,123,123,
123,123,123,123,123,124,124,124,124,125,125,125,125,125,125,125,125,125,125,124,124,124,124,124,
124,124,124,124,124,124,124,124,124,124,125,125,125,126,126,126,127,128,128,128,128,128,128,129,
129,129,129,129,129,128,128,128,128,127,128,128,127,128,127,128,128,127,128,127,127,128,127,128,
128,128,129,129,129,129,130,130,130,131,131,131,131,131,131,131,130,130,130,129,129,129,129,129,
128,128,128,127,128,127,128,128,127,128,128,128,128,129,129,129,129,129,129,130,130,130,130,130,
130,130,130,129,129,129,129,129,129,128,128,128,127,128,127,127,128,127,128,127,128,128,128,128,
128,129,129,129,129,129,130,130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,129,128,
128,128,128,128,128,128,128,127,128,127,128,128,128,129,129,129,129,130,130,130,130,131,130,130,
130,130,129,129,129,129,128,128,128,127,128,127,127,126,126,126,126,126,126,126,126,126,126,126,
126,127,126,127,127,127,127,127,127,127,126,126,126,126,126,125,125,125,125,125,124,124,124,123,
123,123,123,123,123,123,123,123,123,123,124,124,124,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,124,124,124,124,123,123,123,123,123,123,123,123,124,124,124,125,125,125,125,
126,126,126,127,127,128,128,128,127,128,128,127,128,127,128,128,128,127,127,127,127,127,127,127,
127,127,127,127,127,128,128,127,128,128,128,128,129,129,129,129,129,129,129,130,130,130,129,129,
129,129,129,129,129,128,128,128,128,128,128,127,128,128,127,128,127,128,128,128,128,128,129,129,
129,129,129,129,129,130,130,130,130,130,130,130,130,129,129,129,129,129,129,128,128,128,128,128,
127,128,128,127,128,128,128,128,128,129,129,129,129,129,129,129,129,130,130,130,130,130,129,129,
129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,
129,130,130,130,130,130,130,130,130,129,129,129,129,129,129,128,128,127,128,128,127,127,127,126,
126,126,126,126,126,126,126,127,127,127,127,127,127,128,128,127,127,127,127,127,127,126,126,126,
126,126,125,125,125,125,125,124,124,124,124,123,123,123,123,123,124,124,124,124,124,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,124,124,124,124,123,123,123,123,123,
123,123,124,124,124,125,125,125,125,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,
127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,128,127,128,128,128,
128,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,127,128,
127,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,128,128,128,128,128,128,127,127,128,127,128,128,128,128,129,129,129,129,129,129,129,129,129,
129,130,130,130,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,
128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,128,128,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127,128,128,127,
128,127,128,127,127,127,127,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,126,126,126,126,125,125,125,125,125,125,125,125,125,
125,124,124,124,124,124,124,124,124,124,124,124,124,124,125,125,125,125,125,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,
127,128,128,127,128,128,128,128,128,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,
128,128,128,128,127,128,127,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,128,
128,128,128,128,128,128,128,128,127,128,128,127,127,127,127,126,126,126,126,126,126,126,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,125,
125,125,125,125,125,125,125,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,127,127,127,128,127,128,128,128,128,128,128,129,129,129,129,129,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,
128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,
128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,128,128,128,128,127,128,128,
127,127,127,126,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,124,124,124,124,124,124,124,124,124,124,
124,124,124,124,124,124,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,126,126,126,126,126,127,127,127,127,127,128,128,
128,128,128,127,128,127,128,128,128,128,128,127,128,127,128,128,128,128,128,127,128,127,128,128,
127,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,
129,130,130,130,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,127,128,128,127,128,127,127,127,126,126,126,126,126,126,126,125,125,125,125,125,125,125,
125,125,125,125,125,126,126,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,125,124,
124,124,124,124,124,124,124,124,124,124,124,124,124,124,124,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,126,
126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,128,127,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,128,129,128,128,128,128,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,
127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,127,127,127,126,127,127,127,127,127,127,127,128,128,128,128,127,128,128,128,128,
128,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,128,129,129,129,129,129,129,129,129,129,129,129,129,129,128,129,129,129,129,129,129,
129,129,129,129,129,128,129,129,129,129,129,129,129,128,129,129,129,128,128,128,128,128,128,128,
128,129,128,129,128,129,128,129,128,129,129,129,128,129,128,128,128,128,128,128,128,128,128,127,
128,127,128,127,127,127,127,127,127,127,126,127,126,127,126,127,127,126,127,126,127,126,127,126,
127,126,127,126,126,126,126,126,126,126,126,126,126,125,126,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,126,126,126,126,125,126,125,126,126,126,126,126,126,126,126,126,126,
126,125,126,126,126,125,125,125,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,
128,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,126,126,
126,126,126,126,126,126,125,125,125,125,125,125,125,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,127,128,127,128,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,125,126,125,125,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,128,127,128,128,127,128,127,128,127,128,128,128,127,128,127,128,127,128,127,128,127,
127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,127,128,128,127,128,127,127,127,127,127,127,127,127,127,127,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,125,125,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,
127,127,127,127,127,127,127,127,127,127,127,128,128,128,127,128,127,128,128,128,128,128,127,128,
127,128,127,128,128,127,127,127,127,128,128,127,128,128,127,128,127,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,128,127,128,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,
125,125,125,125,125,125,125,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,128,127,128,127,128,127,128,128,128,128,127,128,127,128,127,128,128,128,128,128,
127,128,127,128,127,128,128,127,128,127,127,128,127,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,
127,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128,127,128,127,128,127,
128,127,128,128,127,128,127,128,128,128,127,128,128,127,128,127,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,128,
128,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,128,128,
127,128,127,128,127,128,127,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,128,
127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,
127,128,127,128,128,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,128,128,128,127,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,128,128,127,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,
127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,
128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,128,128,127,
128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,
128,128,127,128,127,128,127,128,128,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,128,127,128,127,127,
128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,127,127,
127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,128,127,
128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128,
128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,128,128,127,128,128,127,128,127,128,128,127,128,127,128,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,128,127,128,127,128,127,128,
127,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,
128,127,128,128,127,128,128,128,128,128,128,128,127,128,127,128,127,128,128,128,127,128,127,128,
128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,
128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,128,128,128,127,128,127,128,127,128,127,128,128,128,128,128,127,128,127,128,
127,128,127,128,127,128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,
128,127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,128,127,
128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,
126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,
127,128,128,128,127,128,127,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,
128,127,128,128,128,128,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,128,127,128,
128,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,127,127,128,127,128,127,128,127,127,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,128,127,128,127,127,128,127,128,128,
128,127,128,127,128,127,128,127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,128,127,128,128,128,127,
128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,127,128,
127,128,127,127,128,127,128,127,128,128,127,128,128,127,128,127,128,128,127,128,127,128,128,128,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,127,128,128,128,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,127,128,127,128,127,128,127,127,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,127,128,128,128,
128,128,128,128,128,128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,127,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,127,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,128,127,128,127,128,128,127,128,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,128,127,128,127,128,128,128,128,127,128,128,127,128,127,128,128,127,127,127,127,127,127,127,
127,127,127,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,
127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,127,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,128,128,128,127,128,127,128,
127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,
127,127,128,127,128,128,127,128,127,127,128,127,128,127,128,127,128,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128,
127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,
127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,127,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,
127,127,127,127,127,127,127,128,127,128,128,127,128,128,127,128,128,128,128,128,128,127,128,127,
128,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,127,128,127,128,127,128,128,128,128,127,128,127,128,127,128,127,128,127,128,127,
128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,128,128,
128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,
127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,
128,127,128,127,128,127,128,128,128,128,128,128,128,127,128,127,128,127,128,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,
128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,
128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
127,128,127,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,127,
128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,128,127,128,128,127,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,127,
128,127,128,127,128,127,127,128,127,128,128,127,128,127,128,128,127,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,127,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,
128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,
128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,
128,127,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,
128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,
128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,128,127,128,127,128,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,127,128,127,128,128,127,128,127,128,128,128,127,128,127,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,
127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,
127,128,127,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,128,128,128,128,127,128,127,128,128,128,128,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,128,127,128,127,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,127,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,127,127,128,127,128,127,127,127,127,127,127,127,
127,127,127,127,128,128,127,128,128,127,128,128,127,128,127,128,127,128,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,
127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,127,128,
127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,
127,128,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,128,127,128,127,127,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,
127,128,127,128,127,128,127,128,127,128,128,128,128,127,128,127,128,127,128,127,127,128,127,128,
127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,128,127,128,
127,128,128,127,128,128,128,127,128,128,128,128,127,128,127,128,127,128,127,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,128,128,127,
128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,128,128,127,
128,127,128,127,128,127,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
128,128,128,128,127,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,
127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,
127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,128,127,127,127,127,127,127,127,128,127,128,128,
128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,127,127,128,127,128,128,127,128,127,128,128,128,128,127,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,
128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,
128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,128,127,127,128,127,128,128,127,128,
127,128,127,128,128,127,128,128,127,128,127,128,127,128,127,128,127,127,128,128,127,128,127,128,
127,127,128,127,127,128,127,128,128,127,128,127,128,127,128,128,128,128,128,127,128,128,127,128
};

int main(int argc, char **argv)
{
	printf("hello audio world!\n");
    /*
    int fd;
    // fprintf(stderr, "test on gpio (stderr -> Audio)");

    fd = open("/dev/stdout", O_WRONLY);
    if (fd < 0) {
        fprintf(stdout, "fail to open /dev/stdout");
        return 1;
    }
    write(fd, "write through device file!\n", 27); 

    int fd_gpio;
    fd_gpio = open("/dev/gpio", O_WRONLY);
    if (fd_gpio < 0) {
        fprintf(stdout, "fail to open /dev/gpio");
        return 1;
    }
    if (ioctl(fd_gpio, 40, NULL) != 0) {
        fprintf(stdout, "fail to use ioctl on /dev/gpio");
        return 1;
    }
    write(fd_gpio, "1", 1);
    fprintf(stdout, "this is new sfsimg 2\n");
    */

    int fd_dsp;
    fd_dsp = open("/dev/dsp", O_WRONLY);
    if (fd_gpio < 0) {
        printf("fail to open /dev/dsp");
        return 1;
    }
    write(fd_dsp, sound, sizeof(sound));

	return 0;
}