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数独矩阵.c

@@ -0,0 +1,149 @@
+#include<stdio.h>
+#include<stdlib.h>
+#include<time.h>
+int a[10][10];
+int e,f,g;
+void input()
+{
+    for(int i=1;i<10;i++)
+     for(int j=1;j<10;j++)
+      scanf("%d",&a[i][j]);
+}
+void random()
+{
+	for(int i=1;i<10;i++)
+     for(int j=1;j<10;j++)
+     a[i][j]=rand()%10;
+}
+void format(int s[][10])
+{
+    printf("-------------------------\n");
+    for(int i=1;i<10;i++)
+    {
+    	printf("| ");
+        for(int j=1;j<10;j++)
+        {
+        	
+        	printf("%d ",s[i][j]);
+        	if(j%3==0) printf("| ");
+		}
+		printf("\n");
+		if(i%3==0) printf("-------------------------\n");
+    }
+}
+bool ok(int x,int y,int s[][10])
+{
+	int b=s[x][y];
+	int a1=x,a2=y;
+	for(int j=1;j<=9;j++)
+	{
+		if(j==y) continue;
+		if(s[x][j]==b)
+		{
+			e=0;f=x;g=b;
+			return false;
+		}
+	}
+	for(int i=1;i<=9;i++)
+	{
+		if(i==x) continue;
+		if(s[i][y]==b)
+		{
+			e=1;f=y;g=b;
+			return false;
+		}
+	}
+	x=(x-1)/3*3;
+	y=(y-1)/3*3;
+	int block;
+	if(x+1==1)
+	{
+		if(y+1==1) block=1;
+		else if(y+1==4) block=2;
+		else if(y+1==7) block=3;
+	}
+	else if(x+1==4)
+	{
+		if(y+1==1) block=4;
+		else if(y+1==4) block=5;
+		else if(y+1==7) block=6;
+	}
+	else if(x+1==7)
+	{
+		if(y+1==1) block=7;
+		else if(y+1==4) block=8;
+		else if(y+1==7) block=9;
+	}
+	for(int i=x+1;i<x+4;i++)
+    {
+        for(int j=y+1;j<y+4;j++)
+        {
+        	if(a1==i&&a2==j) continue;
+            if(s[i][j]==b)
+            {
+            	e=2;f=block;g=b;
+            	return false;
+			}
+        }
+    }
+    return true;
+}
+void dfs(int x,int y,int s[][10])
+{
+	int c=0;
+	if(x==10&&y==1)
+	{
+		printf("The solution of Sudoku matrix:\n");
+		format(s);
+		return;
+	}
+	if(y==10)dfs(x+1,1,s);
+	else
+	{
+		if(s[x][y]) dfs(x,y+1,s);
+		else 
+		{
+			for(int i=1;i<=9;i++)
+			{
+				s[x][y]=i;
+				if(ok(x,y,s))
+				{
+					c=1; 
+					dfs(x,y+1,s);
+					s[x][y]=0;
+				}
+			}
+			s[x][y]=0;
+		}
+	}
+}
+int main()
+{
+	int d=1;
+	srand(time(NULL));
+    //random();
+    input();
+    printf("The original Sudoku matrix:\n");
+    format(a);
+    for(int i=1;i<=9;i++)
+     for(int j=1;j<=9;j++)
+     {
+     	if(a[i][j])
+     	{
+     		if(!ok(i,j,a))
+			 {
+			 	printf("False:Invalid initial Sudoku matrix!\n");
+			 	if(e==1) printf("The number %d in the col %d has been used!",g,f);
+				else if(e==0) printf("The number %d in the row %d has been used!",g,f);
+				else if(e==2) printf("The number %d in the block %d has been used!",g,f);
+			 	return 0;
+			 } 
+		 }
+	 }
+	printf("True:Valid initial Sudoku matrix!\n");
+    dfs(1,1,a);
+    return 0;
+}
+
+
+