/*
find three numbers that sums to 0, every number can be used repeatly. (Someone said it can be solved using hashMap?)
Follow up: what if any K numbers.
*/
#include <vector>
#include <algorithm>
#include <iostream>
using namespace std;
void threeSum(vector<int>& nums, int k, int sum, bool& flag, int dep) {
if(flag) return;
if(k == 0 && sum == 0) flag = true;
if(dep >= nums.size() || k < 0) return;
for(int i = dep; i < nums.size(); ++i) {
sum = sum + nums[i];
k = k - 1;
threeSum(nums, k, sum, flag, i);
k = k + 1;
sum = sum - nums[i];
}
}
bool threeSum(vector<int>& nums) {
if(nums.size() == 0) return 0;
sort(nums.begin(), nums.end());
int k = 3, sum = 0;
bool flag = false;
threeSum(nums, k, sum, flag, 0);
return flag;
}
int main(void) {
vector<int> nums{0, 1, 2};
cout << threeSum(nums) << endl;
}