0018. 4Sum - kumaeki/LeetCode GitHub Wiki

0018. 4Sum


Given an array nums of n integers, return an array of all the unique quadruplets [nums[a], nums[b], nums[c], nums[d]] such that:

  • 0 <= a, b, c, d < n
  • a, b, c, and d are distinct.
  • nums[a] + nums[b] + nums[c] + nums[d] == target
  • You may return the answer in any order.

Example 1:

Input: nums = [1,0,-1,0,-2,2], target = 0

Output: [[-2,-1,1,2],[-2,0,0,2],[-1,0,0,1]]

Example 2:

Input: nums = [2,2,2,2,2], target = 8

Output: [[2,2,2,2]]

Constraints:

  • 1 <= nums.length <= 200
  • -10^9 <= nums[i] <= 10^9
  • -10^9 <= target <= 10^9

解法1

用binary search来查找就好了. 注意越界.

class Solution {
    public List<List<Integer>> fourSum(int[] nums, int target) {
        Arrays.sort(nums);
        List<List<Integer>> res = new ArrayList<>();
        
        for(int i = 0, len = nums.length; i < len; i++){
            // 如果 i 和 i-1 的数值相同, 那么跳过(结果不重复)
            if(i > 0 && nums[i] == nums[i - 1])
                continue;
            int n1 = nums[i];
            for(int j = i + 1; j < len; j++){
                // 如果 j 和 j-1 的数值相同, 那么跳过(结果不重复)
                if(j > i + 1 && nums[j] == nums[j - 1])
                    continue;
                int n2 = nums[j];
                for(int k = j + 1; k < len; k++){
                    // 如果 k 和 k-1 的数值相同, 那么跳过(结果不重复)
                    if(k > j + 1 && nums[k] == nums[k - 1])
                        continue;
                    // 用long,避免越界
                    long t = target - n1 - n2 - nums[k];
                    // binary search
                    int index = getIndex(nums, t, k + 1, len - 1);
                    if(index >= 0)
                        res.add(Arrays.asList(n1 , n2, nums[k], nums[index]));
                }
            }
        }
        return res;
    }
    
    private int getIndex(int[] nums, long target, int left, int right){
        if(left > right)
            return -1;
        
        int mid = (left + right) / 2;
        if(nums[mid] > target)
            return getIndex(nums, target, left, mid - 1);
        else if (nums[mid] < target)
            return getIndex(nums, target, mid + 1, right);
        else
            return mid;
    }
}
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