DFS, Backtracking1
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36class Solution {
    private int count=0;
    
    private void dfs(char[][] board,int colIndex){
        if(colIndex==board.length){
            count++;
            return;
        }
        for(int i=0;i<board.length;i++){
            if(isValid(board,i,colIndex)){
                board[i][colIndex]='Q';
                dfs(board,colIndex+1);
                board[i][colIndex]='.';
            }
        }
    }
    private boolean isValid(char[][] board,int r,int c){
        for(int i=0;i<board.length;i++){
            for(int j=0;j<=c;j++){
                if(board[i][j]=='Q'&&(i==r||Math.abs(r-i)==Math.abs(c-j))) return false;
            }
        }
        return true;
    }
    
    public int totalNQueens(int n) {
        char[][] board=new char[n][n];
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
                board[i][j]='.';
            }
        }
        dfs(board,0);
        return count;
    }
}
