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.
Note:
- 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.
For 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)
思路:确定前两个,双指针扫描后两个。
import java.util.Arrays;
import java.util.List;
import java.util.ArrayList;
public class Solution {
public List<List<Integer>> fourSum(int[] nums, int target) {
List<List<Integer>> list = new ArrayList<List<Integer>>();
if (nums == null || nums.length < 4) {
return list;
}
Arrays.sort(nums);
for (int i = 0; i < nums.length; i++) {
while (i > 0 && i < nums.length && nums[i] == nums[i - 1]) {
i++;
}
for (int j = i + 1; j < nums.length; j++) {
while (j > i + 1 && j < nums.length && nums[j] == nums[j - 1]) {
j++;
}
int left = j + 1;
int right = nums.length - 1;
while (left < right) {
int sum = nums[i] + nums[j] + nums[left] + nums[right];
if (sum > target) {
while (right > left && nums[right] == nums[right - 1]) {
right--;
}
right--;
} else if (sum < target) {
while (left < right && nums[left] == nums[left + 1]) {
left++;
}
left++;
} else {
List<Integer> interList = new ArrayList<Integer>();
interList.add(nums[i]);
interList.add(nums[j]);
interList.add(nums[left]);
interList.add(nums[right]);
list.add(interList);
while (left < right && nums[left] == nums[left + 1]) {
left++;
}
left++;
}
}
}
}
return list;
}
}

本文介绍了一种解决四数之和问题的有效算法。通过先排序数组,再使用双指针技术来寻找所有唯一四元组,使得这些四元组的元素之和等于目标值。该方法避免了重复解,并确保了四元组内的元素按非递减顺序排列。
406

被折叠的 条评论
为什么被折叠?



