Description
https://leetcode.com/problems/longest-continuous-increasing-subsequence/
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 1:
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.
Example 2:
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.
Constraints:
1 <= nums.length <= 104
-109 <= nums[i] <= 109
Explanation
Iterate the list and compare it with the previous number and reach a conclusion what is the longest continuous sequence.
Python Solution
class Solution:
def findLengthOfLCIS(self, nums: List[int]) -> int:
max_count = 0
if not nums:
return max_count
prev = nums[0]
count = 1
for num in nums[1:]:
if num > prev:
count += 1
else:
max_count = max(max_count, count)
count = 1
prev = num
return max(max_count, count)
- Time Complexity: O(N).
- Space Complexity: O(1).