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84 changes: 84 additions & 0 deletions Solution
Original file line number Diff line number Diff line change
@@ -0,0 +1,84 @@
import java.util.*;

public class Solution
{
public static void main(String args[])
{
System.out.println(Solution.solveNQueens(4));
}
public static ArrayList<List<String>> solveNQueens(int n)
{
ArrayList<List<String>> board=new ArrayList<>();
for(int i =0;i<n;i++)
{
ArrayList<String> sub=new ArrayList<>();
for(int j=0;j<n;j++)
{
sub.add(".");

}
board.add(sub);}
ArrayList<List<String>> resultant=new ArrayList<>();
Solution.queens(board,0,resultant);
return resultant;
}



public static int queens(ArrayList<List<String>> board,int row,ArrayList<List<String>> resultant)
{
if(row==(board.size()))
{
ArrayList<String> subi=new ArrayList<>();
for(int p=0;p<board.size();p++)
{
String res=String.join("",board.get(p));
subi.add(res);

}
resultant.add(subi);
return 1;
}
int count=0;
for(int col=0;col<board.size();col++)
{
if(isSafe(board,row,col))
{
board.get(row).set(col,"Q");
count=count+queens(board,(row+1),resultant);
board.get(row).set(col,".");


}
}
return count;
}
public static boolean isSafe(ArrayList<List<String>> board,int i,int j)
{
for(int x=0;x<i;x++)
{
if((board.get(x).get(j)).equals("Q"))
{
return false;
}
}
int maxLeft=(int)Math.min(i,j);
for(int x=1;x<=maxLeft;x++)
{
if((board.get(i-x).get(j-x)).equals("Q"))
{
return false;
}
}
int maxRight=(int)Math.min(i,board.size()-j-1);
for(int x=1;x<=maxRight;x++)
{
if((board.get(i-x).get(j+x)).equals("Q"))
{
return false;
}
}
return true;
}

}