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Simulate the Collatz sequence operations until the value reaches 1.
Count the total number of steps required for a given starting integer.
Optimize repeated calculations by caching intermediate results.
What This Tests
Recursive versus iterative simulation strategies
Memoization techniques for overlapping subproblems
Path tracking and backward state propagation
Time and space complexity trade-offs
Common Patterns
Dynamic Programming
Hashing
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n =
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