Maximum Length of Semi-Decreasing Subarrays — LeetCode 2863 Python Solution

MediumLeetCode PremiumStackArraySortingMonotonic Stack
Problem
#2863
Pattern
Stack
Reading time
2 min

The problem

You are given an integer array nums. Return the length of the longest semi-decreasing subarray of nums, and 0 if there are no such subarrays.

Example

Input
nums = [7,6,5,4,3,2,1,6,10,11]
Output
8
Explanation
Take the subarray [7,6,5,4,3,2,1,6].

Python solution

Python
class Solution:
    def maxSubarrayLength(self, nums: List[int]) -> int:
        d = defaultdict(list)
        for i, x in enumerate(nums):
            d[x].append(i)
        ans, k = 0, inf
        for x in sorted(d, reverse=True):
            ans = max(ans, d[x][-1] - k + 1)
            k = min(k, d[x][0])
        return ans

Complexity

MeasureComplexity
TimeO(n \times \log n)
SpaceO(n) auxiliary

Pattern: Stack

When the most recent unresolved thing is the one that matters, use a stack. LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays is filed here because LeetCode tags it Stack, which is the vocabulary this hub collects.

The stack guide has the Python template for the pattern and the 194 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays?
LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays is rated Medium on LeetCode.
What is the time complexity of LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays?
The Python solution on this page runs in O(n \times \log n).
What is the space complexity of LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays?
The Python solution on this page uses O(n) auxiliary space.
What topics does LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays cover?
LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays is tagged Stack, Array, Sorting and Monotonic Stack on LeetCode.
Is LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays a premium problem?
Yes. LeetCode 2863. Maximum Length of Semi-Decreasing Subarrays is a LeetCode Premium problem, so the full statement and test cases require a paid LeetCode subscription.

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