Pairs of Songs With Total Durations Divisible by 60
You are given a list of songs where the i^th 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, return the number of indices i, j such that i < j and (time[i] + time[j]) % 60 == 0.
Example 1
Input
time = [30,20,150,100,40]Output
3Three pairs have a total duration divisible by 60:
(time[0] = 30, time[2] = 150), (time[1] = 20, time[3] = 100), and (time[1] = 20, time[4] = 40).Example 2
Input
time = [60,60,60]Output
3All three pairs have a total duration of 120, which is divisible by 60.
Constraints
- 1 <= time.length <= 6 * 10^4
- 1 <= time[i] <= 500