#+ANKI_DECK: study_deck_02
* TODO 0051. N Queens :hard:
:PROPERTIES:
:NEETCODE: [[file:../../roadmap.org::*0051. N Queens][0051. N Queens]]
:END:

The *n-queens* puzzle is the problem of placing ~n~ queens on an ~n x n~ chessboard such that no two queens attack each other.

Given an integer ~n~, return /all distinct solutions to the *n-queens puzzle*/. You may return the answer in *any order*.

Each solution contains a distinct board configuration of the n-queens' placement, where ~'Q'~ and ~'.'~ both indicate a queen and an empty space, respectively.

*Example 1:*


#+begin_src
Input: n = 4
Output: [[".Q..","...Q","Q...","..Q."],["..Q.","Q...","...Q",".Q.."]]
Explanation: There exist two distinct solutions to the 4-queens puzzle as shown above
#+end_src


*Example 2:*


#+begin_src
Input: n = 1
Output: [["Q"]]
#+end_src


*Constraints:*

 - ~1 <= n <= 9~

** TODO Approach
Write your approach here.

** TODO Python
#+begin_src python :lc-problem 51 :lc-lang python3
class Solution:
    def solveNQueens(self, n: int) -> List[List[str]]:
#+end_src

** TODO C++
#+begin_src cpp :lc-problem 51
class Solution {
public:
    vector<vector<string>> solveNQueens(int n) {
        
    }
};
#+end_src