mediumArraysPattern: cyclicity and pattern recognition
Array Transformation Under Cyclic Shifts Solution
Problem Statement
You are given an array of integers `arr` and two types of operations: `shift`, which moves the last element to the front, and `reverse`, which reverses the array. Determine the lexicographically smallest array that can be obtained after performing a given number `k` of these operations.
Constraints
- Array length will be between 3 and 1000 elements.
- The number of operations will range from 1 to 10^5.
Time: O(n) Space: O(1)
The optimal approach recognizes the cyclical pattern of 'pulsar' events and determines the effective number of shifts required, reducing the time complexity. It then considers the impact of the 'blackhole' event on the sequence to achieve a lexicographically smallest arrangement.
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