[LeetCode] 4Sum & 4Sum II

4Sum

Problem

Given an array S of n integers, are there elements a, b, c, and d in S such that a + b + c + d = target?

Find all unique quadruplets in the array which gives the sum of target.

Notice

Elements in a quadruplet (a,b,c,d) must be in non-descending order. (ie, a ≤ b ≤ c ≤ d)
The solution set must not contain duplicate quadruplets.

Example

Given array S = {1 0 -1 0 -2 2}, and target = 0. A solution set is:

(-1, 0, 0, 1)
(-2, -1, 1, 2)
(-2, 0, 0, 2)

Note

和3Sum方法一样，多一个数，故多一层循环。完全一致，不再赘述，

Solution

public class Solution {
    public ArrayList<ArrayList<Integer>> fourSum(int[] A, int target) {
        int n = A.length;
        ArrayList<ArrayList<Integer>> res = new ArrayList();
        Arrays.sort(A);
        for (int i = 0; i < n-3; i++) {
            if (i != 0 && A[i] == A[i-1]) continue;
            for (int j = i+1; j <= n-3; j++) {
                if (j != i+1 && A[j] == A[j-1]) continue;
                int left = j+1, right = n-1;
                while (left < right) {
                    int sum = A[i]+A[j]+A[left]+A[right];
                    if (sum == target) {
                        ArrayList<Integer> temp = new ArrayList();
                        temp.add(A[i]);
                        temp.add(A[j]);
                        temp.add(A[left]);
                        temp.add(A[right]);
                        res.add(temp);
                        left++;
                        right--;
                        while (left < right && A[left] == A[left-1]) left++;
                        while (left < right && A[right] == A[right+1]) right--;
                    }
                    else if (sum < target) left++;
                    else right--;
                }
            }
        }
        return res;
    }
}

Update 2018-10

class Solution {
    public List<List<Integer>> fourSum(int[] nums, int target) {
        List<List<Integer>> res = new ArrayList<>();
        if (nums == null || nums.length < 4) return res;
        Arrays.sort(nums);
        int len = nums.length;
        if (nums[0] * 4 > target || nums[len-1] * 4 < target) return res;
        for (int i = 0; i < len-3; i++) {
            if (i != 0 && nums[i] == nums[i-1]) continue;
            for (int j = i+1; j < len-2; j++) {
                if (j != i+1 && nums[j] == nums[j-1]) continue;
                int left = j+1, right = len-1;
                while (left < right) {
                    int sum = nums[i]+nums[j]+nums[left]+nums[right];
                    if (sum == target) {
                        List<Integer> temp = new ArrayList<>();
                        temp.addAll(Arrays.asList(nums[i], nums[j], nums[left], nums[right]));
                        res.add(temp);
                        left++;
                        right--;
                        while (left < right && nums[left] == nums[left-1]) left++;
                        while (left < right && nums[right] == nums[right+1]) right--;
                    } else if (sum < target) {
                        left++;
                    } else {
                        right--;
                    }
                }
            }
        }
        return res;
    }
}

4Sum II

Problem

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

Solution

class Solution {
    public int fourSumCount(int[] A, int[] B, int[] C, int[] D) {
        int len = A.length;
        if (len == 0) return 0;
        Map<Integer, Integer> map = new HashMap<>();
        for (int a: A) {
            for (int b: B) {
                int sum = a+b;
                map.put(sum, map.getOrDefault(sum, 0)+1);
            }
        }
        int count = 0;
        for (int c: C) {
            for (int d: D) {
                int sum = c+d;
                if (map.containsKey(-sum)) count += map.get(-sum);
            }
        }
        return count;
    }
}