摘要:和方法一样,多一个数,故多一层循环。完全一致,不再赘述,
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.
NoticeElements 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.
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,
Solutionpublic class Solution { public ArrayListUpdate 2018-10> fourSum(int[] A, int target) { int n = A.length; ArrayList > 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 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; } }
class Solution { public List4Sum II Problem> fourSum(int[] nums, int target) { List
> 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
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; } }
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:
(0, 0, 0, 1) -> A[0] + B[0] + C[0] + D[1] = 1 + (-2) + (-1) + 2 = 0
(1, 1, 0, 0) -> A[1] + B[1] + C[0] + D[0] = 2 + (-1) + (-1) + 0 = 0
Solutionclass Solution { public int fourSumCount(int[] A, int[] B, int[] C, int[] D) { int len = A.length; if (len == 0) return 0; Mapmap = 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; } }
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