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Solution: Super Ugly Number

Explore how to find the nth super ugly number using a k-way merge approach combined with a min heap. Understand how to dynamically generate these numbers in increasing order without redundancy, and implement this efficient solution to solve problems involving prime factor multiples.

Statement

Given an integer n and an array of distinct prime numbers primes, return the n-th super ugly number. A super ugly number is a positive integer whose only prime factors are from a given array primes.

The n-th super ugly number is guaranteed to fit within a 32-bit signed integer.

Constraints:

  • 11 \leq n 105\leq 10^5

  • 11 \leq primes.length ...