18. 四数之和

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)

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
List<List<Integer>> result = new ArrayList<>();
int right,left;

// 方案一
// 注意点: 1、数值超出Int的最大值
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) {

// 溢出判断,此处有待于更进一步的优化
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;

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/

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
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;
}
}

作者:LeetCode-Solution
链接:https://leetcode.cn/problems/4sum/solution/si-shu-zhi-he-by-leetcode-solution/
来源:力扣(LeetCode)
著作权归作者所有。商业转载请联系作者获得授权,非商业转载请注明出处。

18. 四数之和
http://yuanql.top/2023/03/27/02_leetcode/18. 四数之和/
作者
Qingli Yuan
发布于
2023年3月27日
许可协议