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    [LeetCode 128] Longest Consecutive Sequence

    Published Mar 24, 2022 [  Set  ]

    Problem

    Given an unsorted array of integers nums, return the length of the longest consecutive elements sequence.

    You must write an algorithm that runs in O(n) time.

    Example 1:

    Input: nums = [100,4,200,1,3,2]
    Output: 4
    Explanation: The longest consecutive elements sequence is [1, 2, 3, 4]. Therefore its length is 4.
    

    Example 2:

    Input: nums = [0,3,7,2,5,8,4,6,0,1]
    Output: 9
    

    Constraints:

    • 0 <= nums.length <= 105
    • -109 <= nums[i] <= 109

    Thoughts

    • To find the consecutive sequence, we need find the start number
    • The start number should be such that startNumber - 1 doesn’t exist in array
    • For existence check, we can use Set

    TypeScript

    function longestConsecutive(nums: number[]): number {
        let result: number = 0;
        const sNum: Set<number> = new Set(nums);
        
        for(let num of nums) {
            // find the start
            if(!sNum.has(num - 1)){
                // update the consecutive sequence count
                let temp = 0;
                while(sNum.has(num + temp)){
                    temp++;
                }
                result = Math.max(result, temp)
            }
        }
        
        return result;
    };
    

    Reference