Dynamic Programming

Baekjoon 27440 “Make it One 3” is a problem that asks for the minimum number of operations needed to reduce a very large integer up to 10^18 to 1 using three operations (divide by 3, divide by 2, subtract 1). Since the input range reaches 10^18, the standard dynamic programming approach (O(N) time, O(N) space) is infeasible. The problem must be solved efficiently using a recursive recurrence relation and hash map-based memoization, achieving O(log² n) time complexity. ...