Longest Subarray of 1's After Deleting One Element — LeetCode 1493 Python Solution

MediumArrayDynamic ProgrammingSliding Window
Problem
#1493
Reading time
2 min

The problem

Given a binary array nums, you should delete one element from it. Return the size of the longest non-empty subarray containing only 1's in the resulting array.

Example

Input
nums = [1,1,0,1]
Output
3
Explanation
After deleting the number in position 2, [1,1,1] contains 3 numbers with value of 1's.

Python solution

Python
class Solution:
    def longestSubarray(self, nums: List[int]) -> int:
        n = len(nums)
        left = [0] * (n + 1)
        right = [0] * (n + 1)
        for i, x in enumerate(nums, 1):
            if x:
                left[i] = left[i - 1] + 1
        for i in range(n - 1, -1, -1):
            if nums[i]:
                right[i] = right[i + 1] + 1
        return max(left[i] + right[i + 1] for i in range(n))

Complexity

MeasureComplexity
TimeO(n)
SpaceO(n) auxiliary

Pattern: Sliding Window

Collapse a nested loop over every subarray into a single pass with two indices. LeetCode 1493. Longest Subarray of 1's After Deleting One Element is filed here because LeetCode tags it Sliding Window, which is the vocabulary this hub collects.

The sliding window guide has the Python template for the pattern and the 116 LeetCode problems that use it.

Related problems

On a study list

This problem is on LeetCode 75.

Frequently asked questions

How hard is LeetCode 1493. Longest Subarray of 1's After Deleting One Element?
LeetCode 1493. Longest Subarray of 1's After Deleting One Element is rated Medium on LeetCode.
What is the time complexity of LeetCode 1493. Longest Subarray of 1's After Deleting One Element?
The Python solution on this page runs in O(n).
What is the space complexity of LeetCode 1493. Longest Subarray of 1's After Deleting One Element?
The Python solution on this page uses O(n) auxiliary space.
What topics does LeetCode 1493. Longest Subarray of 1's After Deleting One Element cover?
LeetCode 1493. Longest Subarray of 1's After Deleting One Element is tagged Array, Dynamic Programming and Sliding Window on LeetCode.

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