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Solution: Super Ugly Number

Explore how to implement the K-way merge pattern with a min heap to solve the Super Ugly Number problem. This lesson teaches you to dynamically generate super ugly numbers by merging multiples of given prime factors efficiently, avoiding duplicates and optimizing both 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 ...