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  • Home

    [LeetCode 15] 3Sum

    Published Nov 29, 2021 [  Sorting  ]

    Problem

    Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j != k, and nums[i] + nums[j] + nums[k] == 0.

    Notice that the solution set must not contain duplicate triplets.

    Example 1:

    Input: nums = [-1,0,1,2,-1,-4]
    Output: [[-1,-1,2],[-1,0,1]]
    

    Example 2:

    Input: nums = []
    Output: []
    

    Example 3:

    Input: nums = [0]
    Output: []
    

    Constraints:

    - 0 <= nums.length <= 3000
    - -105 <= nums[i] <= 105
    

    Thoughts

    • We have integer array, we check for sum, maybe sort first?
    • For sorted array, we can move to mid

    Typescript

    function threeSum(nums: number[]): number[][] {
        const res = []
        // notice how we sort the array here
        nums.sort((a, b) => a - b)
    
        // we use i as the first element in result
        for(let i = 0; i < nums.length - 2; i++) {
            // we dont need any duplicate first elements
            if(i > 0 && nums[i] === nums[i - 1]) continue;
    
            // set index for second & last element
            let l = i + 1, r = nums.length - 1;
    
            // move to mid
            while(l < r) {
                const sum = nums[i] + nums[l] + nums[r]
    
                if(sum > 0){
                    r--;
                } else if (sum < 0) {
                    l++;
                } else {
                    res.push([nums[i], nums[l], nums[r]])
                    l++
                    while (nums[l] === nums[l - 1] && l < r) l++;
                }
            }
        }
    
        return res;
    };
    

    Reference