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nqueen.java
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import java.util.*;
import java.io.*;
class nqueen
{
public static void printBoard(int board[][],int size){
System.out.println();
for(int i=0;i<size;i++){
for(int j=0;j<size;j++){
System.out.print(" " + board[i][j] + " ");
}
System.out.println();
}
System.out.println();
}
public static boolean validMove(int board[][],int row,int col,int size){
for(int i=0;i<col;i++){
if(board[row][i]==1)
return false;
}
for(int i=row,j=col;i>=0 && j>=0;i--,j--){
if(board[i][j]==1)
return false;
}
for (int i=row, j=col; j>=0 && i<size; i++, j--)
if (board[i][j]==1)
return false;
return true;
}
public static boolean solvenq(int board[][],int col,int size)
{
if(col>=size)
{
printBoard(board,size);
return true;
}
boolean res=false;
for(int i=0;i<size;i++){
if(validMove(board,i,col,size)){
board[i][col]=1;
res=solvenq(board,col+1,size) || res;
board[i][col]=0;
}
}
return res;
}
public static void setqueens(int size)
{
int board[][]=new int[size][size];
if(solvenq(board,0,size)==false){
System.out.println("Solution doesn't exist");
}
}
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
int size=sc.nextInt();
setqueens(size);
}
}