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Solution: Super Ugly Number

Understand how to implement a k-way merge algorithm combined with a min heap to efficiently generate the n-th super ugly number. This lesson guides you through dynamically merging multiples of prime factors, avoiding duplicates, and handling large inputs with optimal time and space complexity.

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 ...