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Solution: Super Ugly Number

Explore how to compute the nth super ugly number using a k-way merge algorithm combined with a min heap. Learn to dynamically generate numbers with distinct prime factors in order, understand the core logic to avoid duplicates, and grasp the solution's time and space complexities to optimize your coding interview preparation.

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 ...