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Solution: Pairs of Songs With Total Durations Divisible by 60

Explore how to identify pairs of song durations whose sums are divisible by 60 by tracking remainder counts. Understand the algorithm that uses fixed-size arrays for efficient pairing and practice implementing this solution with linear time complexity and constant space usage.

Statement

You are given a list of songs, where the duration of each song is represented by an integer array time, where time[i] indicates the length of the ithi^{th} song in seconds.

Your task is to find and return the number of pairs of songs (i, j) such that:

  • i < j (i.e., the pair should consist of two distinct songs)

  • The sum of their durations is divisible by 60, i.e., (time[i] + time[j]) % 60 == 0.

Constraints:

  • ...