title: 996. Number of Squareful Arrays
tags:
- math
- backtracking
categories: leetcode
comments: false
class Solution {
public:
int ans ;
vector<bool> visited;
void dfs(vector<int> & nums, vector<int> & path){
if(path.size() == nums.size()){
ans++;
}
for(int i=0;i<nums.size();++i){
if (i > 0 && nums[i] == nums[i - 1] && visited[i - 1] == false) continue;
if(visited[i] ) continue;
if(!path.empty()){
double root = sqrt(nums[i]+path.back());
if(root- floor(root)!= 0 ) continue;
}
visited[i] = true;
path.push_back(nums[i]);
dfs(nums, path);
path.pop_back();
visited[i] = false;
}
}
int numSquarefulPerms(vector<int>& nums) {
ans = 0;
sort(nums.begin(), nums.end());
vector<int> path;
visited = vector<bool>(nums.size(), false);
dfs(nums, path);
return ans;
}
};