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Pairs of Songs With Total Durations Divisible by 60

You are given a list of songs where the ith song has a duration of time[i] seconds.

You are given a list of songs where the ith song has a duration of time[i] seconds.

Return the number of pairs of songs for which their total duration in seconds is divisible by 60. Formally, we want the number of indices i, j such that i < j with (time[i] + time[j]) % 60 == 0.

Pairs of Songs With Total Durations Divisible by 60 diagram

Example 1

Input: time = [30,20,150,100,40]

Output: 3

Explanation: Three pairs have a total duration divisible by 60: (time[0] = 30, time[2] = 150): total duration 180 (time[1] = 20, time[3] = 100): total duration 120 (time[1] = 20, time[4] = 40): total duration 60

Example 2

Input: time = [60,60,60]

Output: 3

Explanation: All three pairs have a total duration of 120, which is divisible by 60.

Constraints

  • 1 <= time.length <= 6 * 10^4
  • 1 <= time[i] <= 500

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