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#include<stdio.h>
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#include<stdlib.h>
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#include<time.h>
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#define range9(x) for(int x = 0; x < 9; x ++)
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struct Sudoku{
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int inc[9][9];
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};
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#define MAXSIZE 1000
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struct Sudoku *M_PtrReg[MAXSIZE];
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int PRtp = 0;
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void ptrInit(){
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for(int i = 0; i < MAXSIZE; i ++)
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M_PtrReg[i] = (struct Sudoku *)malloc(sizeof(struct Sudoku));
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}
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void ptrClear(){
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for(int i = 0; i < MAXSIZE; i ++)
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free(M_PtrReg[i]);
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}
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struct Sudoku *ptrReg(){return M_PtrReg[PRtp++];}
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void ptrFree(){--PRtp;}
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void sudokuClear(struct Sudoku *a){
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range9(i)
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range9(j)
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a->inc[i][j] = 0;
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}
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void sudokuCopy(struct Sudoku src, struct Sudoku *dst){
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range9(i)
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range9(j)
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dst->inc[i][j] = src.inc[i][j];
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}
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void sudokufromArray(int src[9][9], struct Sudoku *dst){
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range9(i)
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range9(j)
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dst->inc[i][j] = src[i][j];
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}
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void sudokuPrint(struct Sudoku a){
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range9(i){
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if(!(i % 3)) putchar('\n');
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range9(j){
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if(!(j % 3)) putchar(' ');
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if(!a.inc[i][j])
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putchar('.');
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else
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// putchar(a.inc[i][j] + 48);
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printf("%d", a.inc[i][j]);
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putchar(' ');
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}
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putchar('\n');
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}
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}
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void initRandomSeed(){srand(time(NULL));}
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struct Sudoku sudokuRandomGenerate(unsigned int fill){// %
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fill %= 101;
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struct Sudoku *res = ptrReg();
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range9(i)
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range9(j)
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if(rand()%100 <= fill)
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res->inc[i][j] = rand() % 9 + 1;
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else
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res->inc[i][j] = 0;
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return *res;
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}
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struct Sudoku tags;
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int tag(struct Sudoku *a, int i, int j, int x, int y, struct Sudoku *tags){
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if(i == x && j == y) return 0;
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if(a->inc[i][j] == a->inc[x][y]){
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printf("False:repetition found in (%d,%d) and (%d,%d) with the number {%d}\n", i+1, j+1, x+1, y+1, a->inc[x][y]);
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return 1;
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}
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tags->inc[x][y] |= (1 << a->inc[i][j]);
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return 0;
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}
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int tagPoint(struct Sudoku *a, int i, int j, struct Sudoku *tags){
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range9(k)
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if(tag(a, i, j, i, k, tags)||tag(a, i, j, k, j, tags)||tag(a, i, j, i/3*3+k/3, j/3*3+k%3, tags))
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return 1;
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return 0;
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}
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int tagsInit(struct Sudoku *a, struct Sudoku *tags){
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range9(i)
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range9(j)
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tags->inc[i][j] |= (1 << a->inc[i][j]);
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range9(i)
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range9(j)
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if(a->inc[i][j] && tagPoint(a, i, j, tags))
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return 1;
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}
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int sudokuJudge(struct Sudoku a){
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struct Sudoku tags;
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sudokuClear(&tags);
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if(tagsInit(&a, &tags)) return 1;
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printf("True:Valid initial Sudoku matrix!\n");
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return 0;
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}
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void tagFindLeast(struct Sudoku *a, int *x, int *y, struct Sudoku *tags){
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int minv = 10;
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int mini=0, minj=0;
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range9(i)
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range9(j)
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if(!a->inc[i][j]){
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int cnt = 0;
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range9(k)
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cnt += (tags->inc[i][j] >> k) & 1;
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if(cnt < minv && cnt != 0){
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minv = cnt;
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mini = i;
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minj = j;
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}
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}
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*x = mini;
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*y = minj;
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}
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struct Sudoku *sudokuFill__(struct Sudoku *a, int unfillednum, struct Sudoku *tags){
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struct Sudoku *pres, *t_tags;
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if(!unfillednum){
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pres = ptrReg();
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sudokuCopy(*a, pres);
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sudokuPrint(*tags);
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return pres;
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}
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int m=0, n=0;
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tagFindLeast(a, &m, &n, tags);
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range9(i)
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if(!((tags->inc[m][n] >> i) & 1)){
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a->inc[m][n] = i;
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t_tags = ptrReg();
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sudokuCopy(*tags, t_tags);
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tagPoint(a, m, n, t_tags);
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// sudokuPrint(*a);
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// getchar();
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pres = sudokuFill__(a, unfillednum - 1, t_tags);
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if(pres)
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return pres;
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a->inc[m][n] = 0;
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ptrFree();
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}
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return NULL;
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}
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struct Sudoku *sudokuFill(struct Sudoku *a){
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struct Sudoku tags, res, *pres;
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sudokuClear(&tags);
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if(tagsInit(a, &tags)) return NULL;
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int unfillednum = 0;
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range9(i)
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range9(j)
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if(!a->inc[i][j])
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unfillednum ++;
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printf("%d", unfillednum);
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return sudokuFill__(a, unfillednum, &tags);
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}
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int main(){
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ptrInit();
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initRandomSeed();
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struct Sudoku a;
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sudokuCopy(sudokuRandomGenerate(10), &a);
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printf("The original Sudoku matrix: \n");
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sudokuPrint(a);
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if(sudokuJudge(a)){
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printf("No solution!\n");
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ptrClear();
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return 0;
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}
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struct Sudoku *pres = sudokuFill(&a);
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if(!pres){
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printf("No solution!\n");
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ptrClear();
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return 0;
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}
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printf("The solution of Sudoku matrix:\n");
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sudokuPrint(*pres);
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printf("%d", PRtp);
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ptrClear();
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}
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