题意: 给定四个包含整数的数组列表 A , B , C , D ,计算有多少个元组 (i, j, k, l) ,使得 A[i] + B[j] + C[k] + D[l] = 0。
为了使问题简单化,所有的 A, B, C, D 具有相同的长度 N,且 0 ≤ N ≤ 500 。所有整数的范围在 -2^28 到 2^28 - 1 之间,最终结果不会超过 2^31 - 1 。
例如:
输入:
- A = [ 1, 2]
- B = [-2,-1]
- C = [-1, 2]
- D = [ 0, 2]
输出: 2
代码:
public class FourNumberAdd {
public static int fourNumberAdd(int[] A, int[] B, int[] C, int[] D) {
Map<Integer, Integer> records = new HashMap<>();
for (int a : A) {
for (int b : B) {
if (records.containsKey(a + b)) {
records.put(a+b, records.get(a+b)+1);
} else {
records.put(a+b, 1);
}
}
}
int count = 0;
for (int c : C) {
for (int d : D) {
int tmp = 0 - c - d;
if (records.containsKey(tmp)) {
count += records.get(tmp);
}
}
}
return count;
}
public static void main(String[] args) {
int[] A = {1,2};
int[] B = {-2,-1};
int[] C = {-1,2};
int[] D = {0,2};
System.out.println(fourNumberAdd(A, B, C, D));
}
}