454. 4Sum II

Posted 2020-09-01 为了更优秀的你，加油！

Given four lists A, B, C, D of integer values, compute how many tuples (i, j, k, l) there are such that A[i] + B[j] + C[k] + D[l] is zero.

To make problem a bit easier, all A, B, C, D have same length of N where 0 ≤ N ≤ 500. All integers are in the range of -228 to 228 - 1 and the result is guaranteed to be at most 231 - 1.

Example:

Input:
A = [ 1, 2]
B = [-2,-1]
C = [-1, 2]
D = [ 0, 2]

Output:
2

Explanation:
The two tuples are:
1. (0, 0, 0, 1) -> A[0] + B[0] + C[0] + D[1] = 1 + (-2) + (-1) + 2 = 0
2. (1, 1, 0, 0) -> A[1] + B[1] + C[0] + D[0] = 2 + (-1) + (-1) + 0 = 0

解题思路：将四个list分成两组，首先把第一组的两个队列用map将出现的和sum的次数存起来，然后去遍历后一组的和，如果出现了-sum，即map[sum]!=0则加上map[sum],因为是随意组合，所以取叉积。

class Solution {
public:
    int fourSumCount(vector<int>& A, vector<int>& B, vector<int>& C, vector<int>& D) {
        unordered_map<int,int>m;
        int sum=0;
        int n=A.size();
        for(int i=0;i<n;i++)
            for(int j=0;j<n;j++)
                m[A[i]+B[j]]++;
        for(int i=0;i<n;i++)
            for(int j=0;j<n;j++)
                if(m[-C[i]-D[j]])sum+=m[-C[i]-D[j]];
        return sum;
    }
};