Longest Subarray of Ones After Deleting One Element [Medium]

Sanjeev SharmaSanjeev Sharma
1 min read

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Problem Statement

Given a binary array nums, delete exactly one element and return the length of the longest non-empty subarray of 1s remaining.

Input: [1,1,0,1]Output: 3
Input: [0,1,1,1,0,1,1,0,1]Output: 5

Intuition

Allow at most 1 zero in window. Window size - 1 = result (the deleted element).


Solutions

C++

int longestSubarray(vector<int>& nums) {
    int left=0, zeros=0, ans=0;
    for(int r=0;r<nums.size();r++){
        if(!nums[r]) zeros++;
        while(zeros>1){if(!nums[left++])zeros--;}
        ans=max(ans,r-left); // -1 for deleted element
    }
    return ans;
}

Python

def longestSubarray(nums: list[int]) -> int:
    left = zeros = ans = 0
    for right, val in enumerate(nums):
        if val == 0: zeros += 1
        while zeros > 1:
            if nums[left] == 0: zeros -= 1
            left += 1
        ans = max(ans, right - left)
    return ans

Complexity

  • Time: O(n), Space: O(1)

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Sanjeev Sharma

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Sanjeev Sharma

Full Stack Engineer · E-mopro