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Solution: Pairs of Songs With Total Durations Divisible by 60

Explore how to identify pairs of songs where the sum of their durations is divisible by 60. This lesson teaches you to track remainders and use complementary values to count valid pairs efficiently, with constant space complexity and linear time processing.

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:

  • ...