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package g0001_0100.s0018_4sum;

// #Medium #Array #Sorting #Two_Pointers #2023_08_09_Time_3_ms_(99.77%)_Space_43.9_MB_(82.30%)

import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;

/**
 * 18 - 4Sum\.
 *
 * Medium
 *
 * 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`
 * *   -109 <= nums[i] <= 109
 * *   -109 <= target <= 109
**/
@SuppressWarnings("java:S135")
public class Solution {
    public List> fourSum(int[] nums, int target) {
        int n = nums.length;
        Arrays.sort(nums);
        List> result = new ArrayList<>();
        for (int i = 0; i < n - 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[n - 3] + nums[n - 2] + nums[n - 1] < target) {
                continue;
            }
            for (int j = i + 1; j < n - 2; j++) {
                if (j > i + 1 && nums[j] == nums[j - 1]) {
                    continue;
                }
                if ((long) nums[j] + nums[j + 1] + nums[j + 2] > target - nums[i]) {
                    break;
                }
                if ((long) nums[j] + nums[n - 2] + nums[n - 1] < target - nums[i]) {
                    continue;
                }
                int tempTarget = target - (nums[i] + nums[j]);
                int low = j + 1;
                int high = n - 1;
                while (low < high) {
                    int curSum = nums[low] + nums[high];
                    if (curSum == tempTarget) {
                        List tempList = new ArrayList<>();
                        tempList.add(nums[i]);
                        tempList.add(nums[j]);
                        tempList.add(nums[low]);
                        tempList.add(nums[high]);
                        result.add(tempList);
                        low++;
                        high--;
                        while (low < high && nums[low] == nums[low - 1]) {
                            low++;
                        }
                        while (low < high && nums[high] == nums[high + 1]) {
                            high--;
                        }
                    } else if (curSum < tempTarget) {
                        low++;
                    } else {
                        high--;
                    }
                }
            }
        }
        return result;
    }
}




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