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Copy pathn_queens.cpp
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93 lines (91 loc) · 1.42 KB
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// n queens
//backtrack
#include<stdio.h>
using namespace std;
int n;
int check(int a[9][9],int x,int y)
{
int i=x-1,j=y;
while(i>=0)
{
if(a[i][y]==1)
return 0;
i--;
}
i=x-1;
j=y-1;
while(i>=0&&j>=0)
{
if (a[i][j]==1)
return 0;
i--;
j--;
}
i=x-1;
j=y+1;
while(i>=0&&j<n)
{
if(a[i][j]==1)
return 0;
i--;
j++;
}
return 1;
}
void out(int a[9][9],int x,int y)
{
int i,j;
a[x][y]=1;
for(i=0;i<n;i++)
{
for(j=0;j<n;j++)
{
if(a[i][j]==1)
printf("Q\t");
else
printf("-\t");
}
printf("\n");
}
a[x][y]=0;
}
void bt(int a[9][9],int x)
{
int j;
for(j=0;j<n;j++)
{
if(x==n-1)
{
if(check(a,x,j)==1)
{
out(a,x,j);
printf("\n");
}
}
else
{
a[x][j]=1;
if(check(a,x,j))
bt(a,x+1);
a[x][j]=0;
}
}
}
int main()
{
int i,j;
while(scanf("%d",&n)>0)
{
int a[9][9];
for(i=0;i<9;i++)
for(j=0;j<9;j++)
a[i][j]=0;
if(n>3)
bt(a,0);
else if(n==1)
printf("Q\n");
else
printf("Not Possible\n");
}
return 0;
}