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nqueens.c
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64 lines (57 loc) · 1.13 KB
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#include <stdio.h>
#include <math.h>
int board[20], count;
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 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-");
}
}
}
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);
}
}
}
int main()
{
int n;
printf(" - N Queens Problem Using Backtracking -");
printf("\n\nEnter number of Queens:");
scanf("%d", & n);
queen(1, n);
return 0;
}