Compute ring window max and deletion indices
Part A: Ring Window Maximum
You are given n computers arranged in a circle, represented by an array of bits (where 1 signifies an 'on' computer and 0 signifies an 'off' computer). You are also given an integer k, where 1 <= k <= n.
Your task is to determine the maximum number of 'on' computers within any k consecutive positions along the ring, allowing for wrapping.
Describe your algorithm and analyze its time and space complexity.
Part B: Deletion Index Recovery
You are given two strings, s1 and s2, such that s2 can be obtained from s1 by deleting exactly one character (i.e., the length of s1 is one greater than the length of s2).
Your task is to return all 0-based indices i in s1 such that removing the character s1[i] results in the string s2.
Provide the algorithm and its complexity, and explain how you handle repeated characters and edge cases.
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Core dilemma
Applying optimal data structures and algorithms to efficiently solve two distinct problems: finding a sliding window maximum on a circular array and identifying all single-character deletion indices between two strings, while meticulously handling edge cases and performance.
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Compute ring window max and deletion indices
Part A: Ring Window Maximum
You are given n computers arranged in a circle, represented by an array of bits (where 1 signifies an 'on' computer and 0 signifies an 'off' computer). You are also given an integer k, where 1 <= k <= n.
Your task is to determine the maximum number of 'on' computers within any k consecutive positions along the ring, allowing for wrapping.
Describe your algorithm and analyze its time and space complexity.
Part B: Deletion Index Recovery
You are given two strings, s1 and s2, such that s2 can be obtained from s1 by deleting exactly one character (i.e., the length of s1 is one greater than the length of s2).
Your task is to return all 0-based indices i in s1 such that removing the character s1[i] results in the string s2.
Provide the algorithm and its complexity, and explain how you handle repeated characters and edge cases.