Friday, July 26, 2024

[LeetCode] Longest Continuous Increasing Subsequence

Problem: Given an unsorted array of integers nums, return the length of the longest continuous increasing subsequence (i.e. subarray). The subsequence must be strictly increasing.

A continuous increasing subsequence is defined by two indices l and r (l < r) such that it is [nums[l], nums[l + 1], ..., nums[r - 1], nums[r]] and for each l <= i < r, nums[i] < nums[i + 1].

Example:

Input: nums = [1,3,5,4,7]
Output: 3
Explanation: The longest continuous increasing subsequence is [1,3,5] with length 3.
Even though [1,3,5,7] is an increasing subsequence, it is not continuous as elements 5 and 7 are separated by element 4.
Input: nums = [2,2,2,2,2]
Output: 1
Explanation: The longest continuous increasing subsequence is [2] with length 1. Note that it must be strictly increasing.


Approach: It's a simple implementation problem. You can directly look at the implementation to understand the approach.


Implementation in C#:

    public int FindLengthOfLCIS(int[] nums)
    {
        int length = nums?.Length ?? 0;
        if (length <= 1)
        {
            return length;
        }
        int maxCISLength = 1;
        int currCISLength = 1;
        int prevIndex = 0;
        for (int i = 1; i < length; ++i)
        {
            if (nums[i] > nums[prevIndex])
            {
                ++currCISLength;
                if (currCISLength > maxCISLength)
                {
                    maxCISLength = currCISLength;
                }
            }
            else
            {
                currCISLength = 1;
            }
            prevIndex = i;
        }
        return maxCISLength;
    }

Complexity: O(n)

No comments:

Post a Comment