# Solution For Longest Subarray Of 1s After Deleting One Element

Problem statement:

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.

If there is no such subarray, return 0.

Solution:

Approach:

One approach could be to find all the subarrays where one element is deleted, and among those subarrays, the subarray having the longest consecutive ones is the answer.

For this, we can iterate over the given array nums and for each i, we can delete nums[i] and create a new array without it. Next, we can iterate over that new array and find the consecutive ones to calculate the maximum length subarray of 1s in it.

We can achieve this by maintaining the count of consecutive ones in a variable and resetting it to 0 whenever we encounter a 0. We can also maintain a variable maxLength to keep track of the maximum length subarray of 1s encountered so far.

We can return the maxLength as the answer.

Algorithm:

- Initialize maxLength = 0
- Iterate over nums for each index i:

a. Create a new array by deleting nums[i] b. Initialize count and maxCount to 0

c. Iterate over the new array for each index j:

i. If jth element is 1, increment count by 1

ii. If jth element is 0, reset count to 0

iii. Update maxCount to be the maximum of maxCount and count

d. Update maxLength to be the maximum of maxLength and maxCount - Return maxLength

Python code:

class Solution:

def findMaxConsecutiveOnes(self, nums: List[int]) -> int:

maxLength = 0

# iterate over nums

for i in range(len(nums)):

# create new array without nums[i]
newArr = nums[:i] + nums[i+1:]
count = maxCount = 0

# iterate over new array

for j in range(len(newArr)):

# if jth element is 1, increment count

if newArr[j] == 1:

count += 1

# if jth element is 0, reset count

else:

count = 0

# update maxCount to be maximum of count and maxCount

maxCount = max(maxCount, count)

# update maxLength to be the maximum of maxLength and maxCount

maxLength = max(maxLength, maxCount)

# return maxLength

return maxLength

Time Complexity: O(N^2), where N is the length of the input array nums.

The time complexity of the algorithm is O(N^2) because for each i, we create a new array without nums[i], and then iterate over that new array, resulting in a nested loop.

Space Complexity: O(N), where N is the length of the input array nums.

The space complexity of the algorithm is O(N) because we create a new array without nums[i], resulting in additional space usage.

## Step by Step Implementation For Longest Subarray Of 1s After Deleting One Element

class Solution { public int longestSubarray(int[] nums) { int max = 0; int count = 0; for(int i=0; i def longestSubarray(self, nums: List[int]) -> int: # keep track of the maximum length of subarray with 1s max_len = 0 # keep track of the number of consecutive 1s count = 0 # iterate through the array for i in range(len(nums)): # if the current element is a 1 if nums[i] == 1: # increment the count count += 1 # update the maximum length max_len = max(max_len, count) # if the current element is not a 1 else: # reset the count count = 0 # return the maximum length return max_lenvar longestSubarray = function(nums) { let longest = 0; let curr = 0; for (let i = 0; i < nums.length; i++) { if (nums[i] === 1) { curr++; longest = Math.max(longest, curr); } else { curr = 0; } } return longest; };class Solution { public: int longestSubarray(vector& nums) { int n = nums.size(); int ans = 0, cur = 0; for (int i = 0; i < n; ++i) { cur = (nums[i] == 0 ? 0 : cur + 1); ans = max(ans, cur); int j = i - cur; if (j >= 0 && nums[j] == 1) { ans = max(ans, cur - 1); } } return ans; } }; public int LongestSubarray(int[] nums) { // keep track of the longest subarray of 1's found so far int longest = 0; // keep track of the current subarray of 1's int current = 0; // iterate through the array for (int i = 0; i < nums.Length; i++) { // if the current element is a 1 if (nums[i] == 1) { // increment the length of the current subarray current++; } // if the current element is a 0 else { // check if the current subarray is longer than the longest found so far if (current > longest) { longest = current; } // reset the current subarray current = 0; } } // check if the current subarray is longer than the longest found so far if (current > longest) { longest = current; } // return the longest subarray return longest; }