leetcode-454-4sum-ii

https://leetcode.com/problems/4sum-ii/description/  


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[j]+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


给四个整型数组A.,B,C,D. 找出有多少对(i,j,k,l) 使得 (A[i]+B[j]+C[j]+D[l]) = 0.   假设四个数组的长度都一样。 四个数组。。怎么二分 :cry:….  三个加起来,分最后一个 N^3*logN…超时、

看题解:   将两个数组逐项求和。 保存和相同的个数到map中, 对另外两个数组逐项求和,与之前的和互为相反数的 即满足条件四个数组和为零. 从map中取出值累加就为最终结果   还有这种操作? o(n^2)

    class Solution {
       public int fourSumCount(int[] A, int[] B, int[] C, int[] D) {
           int num = 0;
           int n = A.length;
           Map<Integer,Integer> m = new HashMap<Integer,Integer>();
           for(int i = 0; i < n; i++){
               for(int j = 0; j < n; j++){
                   int sum = A[i]+B[j];
                  m.put(sum,m.getOrDefault(sum,0)+1);
               }
           }
           for(int i = 0; i < n; i++){
              for(int j = 0; j < n; j++){
                   int sum = -(C[i] + D[j]);
                   num += m.getOrDefault(sum,0);
               }
           }
           return num;
       }
    }
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