1. Problem
1493. Longest Subarray of 1’s After Deleting One Element
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. Return 0 if there is no such subarray.
Example 1:
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.
Example 2:
Input: nums = [0,1,1,1,0,1,1,0,1]
Output: 5
Explanation: After deleting the number in position 4, [0,1,1,1,1,1,0,1] longest subarray with value of 1's is [1,1,1,1,1].
Example 3:
Input: nums = [1,1,1]
Output: 2
Explanation: You must delete one element.
Constraints:
- 1 <= nums.length <= 10^5
- nums[i] is either 0 or 1.
2. Solution
I solved this problem like this.
- Solve the problem with sliding window!
2.1. Solution1
- Check used zero count. If zero count is more bigger than k(max zero count),
class Solution:
def longestSubarray(self, nums: List[int]) -> int:
used_zero = l = ans = 0
k = 1
for r in range(len(nums)):
if nums[r] == 0:
used_zero += 1
while used_zero > k:
if nums[l] == 0:
used_zero -= 1
l += 1
ans = max(ans, r - l)
return ans
2.2. Solution2
- Minus k value, if now idx value is 0.
- if k is smaller than 0, move left and plus k value if left is 0.
- return r - l. Once the maximum length is determined, the r - l value is also equal to the maximum length.
class Solution:
def longestSubarray(self, nums: List[int]) -> int:
k = 1
l = 0
for r in range(len(nums)):
if nums[r] == 0:
k-=1
if k < 0:
if nums[l] == 0:
k += 1
l += 1
return r - l