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1010. Pairs of Songs With Total Durations Divisible by 60

In a list of songs, 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, we want the number of indices i < j with (time[i] + time[j]) % 60 == 0.

Example 1:

Input: [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: [60,60,60]
Output: 3
Explanation: All three pairs have a total duration of 120, which is divisible by 60.

Note:

  1. 1 <= time.length <= 60000
  2. 1 <= time[i] <= 500

Solutions (Rust)

1. Brute Force

impl Solution {
    pub fn num_pairs_divisible_by60(time: Vec<i32>) -> i32 {
        let mut ret = 0;

        for i in 0..time.len() {
            for j in (i + 1)..time.len() {
                if (time[i] + time[j]) % 60 == 0 {
                    ret += 1;
                }
            }
        }

        ret
    }
}

2. Count

impl Solution {
    pub fn num_pairs_divisible_by60(time: Vec<i32>) -> i32 {
        let mut cnt = [0; 60];
        let mut ret = 0;

        for t in time {
            ret += match t % 60 {
                0 => cnt[0],
                _ => cnt[60 - t as usize % 60],
            };
            cnt[t as usize % 60] += 1;
        }

        ret
    }
}