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| 1 | +package com.fishercoder.solutions; |
| 2 | + |
| 3 | +import java.util.HashMap; |
| 4 | +import java.util.Map; |
| 5 | + |
| 6 | +/** |
| 7 | + * 1013. Pairs of Songs With Total Durations Divisible by 60 |
| 8 | + * |
| 9 | + * In a list of songs, the i-th song has a duration of time[i] seconds. |
| 10 | + * |
| 11 | + * Return the number of pairs of songs for which their total duration in seconds is divisible by 60. |
| 12 | + * Formally, we want the number of indices i < j with (time[i] + time[j]) % 60 == 0. |
| 13 | + * |
| 14 | + * Example 1: |
| 15 | + * Input: [30,20,150,100,40] |
| 16 | + * Output: 3 |
| 17 | + * Explanation: Three pairs have a total duration divisible by 60: |
| 18 | + * (time[0] = 30, time[2] = 150): total duration 180 |
| 19 | + * (time[1] = 20, time[3] = 100): total duration 120 |
| 20 | + * (time[1] = 20, time[4] = 40): total duration 60 |
| 21 | + * |
| 22 | + * Example 2: |
| 23 | + * Input: [60,60,60] |
| 24 | + * Output: 3 |
| 25 | + * Explanation: All three pairs have a total duration of 120, which is divisible by 60. |
| 26 | + * |
| 27 | + * Note: |
| 28 | + * |
| 29 | + * 1 <= time.length <= 60000 |
| 30 | + * 1 <= time[i] <= 500 |
| 31 | + * */ |
| 32 | +public class _1013 { |
| 33 | + public static class Solution1 { |
| 34 | + /**Credit: https://leetcode.com/problems/pairs-of-songs-with-total-durations-divisible-by-60/discuss/256726/Java-O(n)-code-w-comment-similar-to-Two-Sum |
| 35 | + * |
| 36 | + * Think of Problem 1: Two Sum |
| 37 | + * Assume target is 60, each item in time % 60. |
| 38 | + * Then this problem becomes very similar to Problem 1. |
| 39 | + * */ |
| 40 | + public int numPairsDivisibleBy60(int[] time) { |
| 41 | + int result = 0; |
| 42 | + Map<Integer, Integer> map = new HashMap<>(); |
| 43 | + for (int t : time) { |
| 44 | + int d = (60 - t % 60) % 60; |
| 45 | + if (map.containsKey(d)) { |
| 46 | + result += map.get(d); |
| 47 | + } |
| 48 | + map.put(t % 60, map.getOrDefault(t % 60, 0) + 1); |
| 49 | + } |
| 50 | + return result; |
| 51 | + } |
| 52 | + } |
| 53 | +} |
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