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Commitc7228e3

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author
zongyanqi
committed
add 051-N-Queens
1 parenteb49db3 commitc7228e3

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‎051-N-Queens.js

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/**
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* https://leetcode.com/problems/n-queens/description/
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* Difficulty:Hard
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*
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* The n-queens puzzle is the problem of placing n queens on an n×n chessboard
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* such that no two queens attack each other.
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*
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* Given an integer n, return all distinct solutions to the n-queens puzzle.
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* Each solution contains a distinct board configuration of the n-queens' placement, where 'Q' and '.' both indicate a queen and an empty space respectively.
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*
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* For example,
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* There exist two distinct solutions to the 4-queens puzzle:
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* [
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* [".Q..", // Solution 1
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* "...Q",
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* "Q...",
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* "..Q."],
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*
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* ["..Q.", // Solution 2
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* "Q...",
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* "...Q",
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* ".Q.."]
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* ]
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* 2,1 3,2
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*/
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/**
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*@param {number} n
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*@return {string[][]}
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*/
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varsolveNQueens=function(n){
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varret=[];
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varboard=[];
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for(vari=0;i<n;i++){
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board.push(newArray(n).fill('.'));
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}
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helper(board,0,ret);
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returnret;
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};
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functionhelper(board,col,ret){
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if(col===board.length){
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ret.push(construct(board));
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}else{
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for(vari=0;i<board.length;i++){
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if(check(board,i,col)){
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board[i][col]='Q';
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helper(board,col+1,ret);
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board[i][col]='.';
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}
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}
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}
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}
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functioncheck(board,x,y){
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for(vari=0;i<board.length;i++){
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for(varj=0;j<y;j++){
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if(board[i][j]==='Q'&&
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(i===x||i+j===x+y||i+y===j+x))returnfalse;
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}
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}
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returntrue;
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}
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functionconstruct(board){
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returnboard.map(arr=>arr.join(''));
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}
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console.log(solveNQueens(4));

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