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NQueen.java
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public class NQueen
{
class Position{
int row,col;
Position(int row,int col)
{
this.row = row;
this.col = col;
}
}
public Position[] solveNqueenProblem(int n){
Position[] positions = new Position[n];
boolean hasSolution = solveNqueenProblemUtility(n,0,positions);
if(hasSolution){
return positions;
}else{
return new Position[0];
}
}
private boolean solveNqueenProblemUtility(int n,int row,Position[] positions){
if(n == row){
return true;
}
int col;
for(col = 0; col < n; col++){
boolean foundSafe = true;
for(int queen=0; queen < row; queen++){
if(positions[queen].col==col || positions[queen].row-positions[queen].col==row-col
|| positions[queen].row==row || positions[queen].row+positions[queen].col==row+col){
foundSafe = false;
break;
}
}
if(foundSafe){
positions[row] = new Position(row,col);
if(solveNqueenProblemUtility(n,row+1,positions)){
return true;
}
}
}
return false;
}
public static void main(String args[]) {
NQueen s = new NQueen();
Position[] positions = s.solveNqueenProblem(6);
Arrays.stream(positions).forEach(position -> System.out.println(position.row + ' ' + position.col));
}
}