487. Max Consecutive Ones II π
Description
Given a binary array nums
, return the maximum number of consecutive 1
's in the array if you can flip at most one 0
.
Example 1:
Input: nums = [1,0,1,1,0] Output: 4 Explanation: - If we flip the first zero, nums becomes [1,1,1,1,0] and we have 4 consecutive ones. - If we flip the second zero, nums becomes [1,0,1,1,1] and we have 3 consecutive ones. The max number of consecutive ones is 4.
Example 2:
Input: nums = [1,0,1,1,0,1] Output: 4 Explanation: - If we flip the first zero, nums becomes [1,1,1,1,0,1] and we have 4 consecutive ones. - If we flip the second zero, nums becomes [1,0,1,1,1,1] and we have 4 consecutive ones. The max number of consecutive ones is 4.
Constraints:
1 <= nums.length <= 105
nums[i]
is either0
or1
.
Follow up: What if the input numbers come in one by one as an infinite stream? In other words, you can't store all numbers coming from the stream as it's too large to hold in memory. Could you solve it efficiently?
Solutions
Solution 1: Sliding Window
We can iterate through the array, using a variable $\textit{cnt}$ to record the current number of 0s in the window. When $\textit{cnt} > 1$, we move the left boundary of the window to the right by one position.
After the iteration ends, the length of the window is the maximum number of consecutive 1s.
Note that in the process above, we do not need to loop to move the left boundary of the window to the right. Instead, we directly move the left boundary to the right by one position. This is because the problem asks for the maximum number of consecutive 1s, so the length of the window will only increase, not decrease. Therefore, we do not need to loop to move the left boundary to the right.
The time complexity is $O(n)$, where $n$ is the length of the array. The space complexity is $O(1)$.
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