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66 changes: 66 additions & 0 deletions Sort.cpp
Original file line number Diff line number Diff line change
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int board[20],count;

int main()
{
int n,i,j;
void queen(int row,int n);
printf("\n\t --- N Queen Problem using Backtracking --- ");
printf("\n\nEnter number of Queens: ");
scanf("%d", &n);
queen(1,n);
return 0;
}

void print(int n)
{
int i,j;
printf("\n\nSolution %d:\n\n",++count);
for(i=1;i<=n;++i)
printf("\t%d",i);
for(i=1;i<=n;++i)
{
printf("\n\n%d",i);
for(j=1;j<=n;++j)
{
if(board[i]==j)
printf("\tQ");
else
printf("\t-");
}
}
printf("\n\n");
}

int place(int row,int column)
{
int i;
for(i=1;i<=row-1;++i)
{
if(board[i]==column)
return 0;
else
if(abs(board[i]-column)==abs(i-row))
return 0;
}
return 1;
}

void queen(int row,int n)
{
int column;
for(column=1;column<=n;++column)
{
if(place(row,column))
{
board[row]=column;
if(row==n)
print(n);
else
queen(row+1,n);
}
}
}