Integer Partition Problem Backtracking Depth-First Search
Integer partition problem involves expressing a positive integer n as the sum of a sequence of positive integers: n = n1 + n2 + ... + nk, where n1 > n2 > ... > nk and k >= 1. The number of different partitions of a positive integer n is called its partition number. This problem can be efficiently solved using a backtracking depth-first search (DFS) approach. The process starts by recursively trying to subtract possible values from n, ensuring the partitions are in decreasing order, and backtracks whenever an invalid partition is reached.
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