Final answer:
To solve this problem, iterate over the binary string, keeping track of the longest consecutive subsegment of 1s, and making changes to 0s if available. Finally, return the maximum length of the consecutive subsegment of 1s.
Step-by-step explanation:
To solve this problem, we can iterate over the binary string and keep track of the longest consecutive subsegment of 1s. Whenever we encounter a 0, we try to change it to 1 if we have remaining changes available. This way, we maximize the length of the consecutive subsegment of 1s.
Here is the algorithm:
- Initialize variables: maxLength = 0, currentLength = 0, remainingChanges = changek.
- Iterate over the binary string:
- If the current bit is 1, increment currentLength.
- If the current bit is 0:
- If remainingChanges is greater than 0, increment currentLength and decrement remainingChanges.
- If remainingChanges is 0, update maxLength with max(maxLength, currentLength) and reset currentLength to 0.
- Update maxLength with max(maxLength, currentLength).
- Return maxLength.
In the given example '1010101' with changek = 1, the algorithm will output 3, because the maximum consecutive subsegment of 1s can be achieved with the following combinations: '1110101', '1011101', and '1010111'.