[LeetCode]454. 4Sum II

四个数累加

Posted by JinFei on November 12, 2021

题目描述

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 -2^28 to 2^28 - 1 and the result is guaranteed to be at most 2^31 - 1.

Example1:

  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

  • 使用Hash思想,将(x + y) 进行映射各自的次数
  • 最终结果加上出现的次数即可
class Solution {
public:
    int fourSumCount(vector<int>& A, vector<int>& B, vector<int>& C, vector<int>& D) {  
        unordered_map<int, int> mmap;
        for(auto& a : A){
            for(auto& b : B){
                mmap[a + b]++;
            }
        }
        int res = 0;
        for(auto& c : C){
            for(auto& d : D){
                res += mmap[0 - c - d];
            }
        }
        return res;
    }
};