leetcode链接:
https://leetcode.cn/problems/4sum/description/
方案一
思路: 排序 + 对撞指针
时间复杂度:n² log(n)
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| List<List<Integer>> result = new ArrayList<>(); int right,left;
Arrays.sort(nums);
for (int i = 0; i < nums.length - 3; i++) {
if (i != 0 && nums[i] == nums[i - 1]) continue;
for (int j = i + 1; j < nums.length - 2; j++) {
if (j != i + 1 && nums[j] == nums[j - 1]) continue; left = j + 1; right = nums.length - 1;
while (left < right) {
if (nums[i] + nums[j] + nums[left] + nums[right] < 0 && nums[i] > 0) { break; }
if (nums[i] + nums[j] + nums[left] + nums[right] > target) { right--; } else if (nums[i] + nums[j] + nums[left] + nums[right] == target) { List<Integer> tem = new ArrayList<Integer>(); tem.add(nums[i]); tem.add(nums[j]); tem.add(nums[left]); tem.add(nums[right]); result.add(tem); while (nums[right] == nums[--right]) { if (right < left + 2) break; } while (nums[left] == nums[++left]) { if (left > right - 2) break; } } else { left++; } } } }
return result;
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结果:
- 292/292 cases passed (13 ms)
- Your runtime beats 66.36 % of java submissions
- Your memory usage beats 46.39 % of java submissions (41.9 MB)
几乎最优方案
https://leetcode.cn/problems/4sum/solution/si-shu-zhi-he-by-leetcode-solution/
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| class Solution { public List<List<Integer>> fourSum(int[] nums, int target) { List<List<Integer>> quadruplets = new ArrayList<List<Integer>>(); if (nums == null || nums.length < 4) { return quadruplets; } Arrays.sort(nums); int length = nums.length; for (int i = 0; i < length - 3; i++) { if (i > 0 && nums[i] == nums[i - 1]) { continue; } if ((long) nums[i] + nums[i + 1] + nums[i + 2] + nums[i + 3] > target) { break; } if ((long) nums[i] + nums[length - 3] + nums[length - 2] + nums[length - 1] < target) { continue; } for (int j = i + 1; j < length - 2; j++) { if (j > i + 1 && nums[j] == nums[j - 1]) { continue; } if ((long) nums[i] + nums[j] + nums[j + 1] + nums[j + 2] > target) { break; } if ((long) nums[i] + nums[j] + nums[length - 2] + nums[length - 1] < target) { continue; } int left = j + 1, right = length - 1; while (left < right) { long sum = (long) nums[i] + nums[j] + nums[left] + nums[right]; if (sum == target) { quadruplets.add(Arrays.asList(nums[i], nums[j], nums[left], nums[right])); while (left < right && nums[left] == nums[left + 1]) { left++; } left++; while (left < right && nums[right] == nums[right - 1]) { right--; } right--; } else if (sum < target) { left++; } else { right--; } } } } return quadruplets; } }
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