diff --git a/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/1010. Pairs of Songs With Total Durations Divisible by 60.go b/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/1010. Pairs of Songs With Total Durations Divisible by 60.go new file mode 100644 index 00000000..3c6dd1af --- /dev/null +++ b/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/1010. Pairs of Songs With Total Durations Divisible by 60.go @@ -0,0 +1,16 @@ +package leetcode + +func numPairsDivisibleBy60(time []int) int { + counts := make([]int, 60) + for _, v := range time { + v %= 60 + counts[v]++ + } + res := 0 + for i := 1; i < len(counts)/2; i++ { + res += counts[i] * counts[60-i] + } + res += (counts[0] * (counts[0] - 1)) / 2 + res += (counts[30] * (counts[30] - 1)) / 2 + return res +} diff --git a/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/1010. Pairs of Songs With Total Durations Divisible by 60_test.go b/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/1010. Pairs of Songs With Total Durations Divisible by 60_test.go new file mode 100644 index 00000000..201e0c72 --- /dev/null +++ b/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/1010. Pairs of Songs With Total Durations Divisible by 60_test.go @@ -0,0 +1,47 @@ +package leetcode + +import ( + "fmt" + "testing" +) + +type question1010 struct { + para1010 + ans1010 +} + +// para 是参数 +// one 代表第一个参数 +type para1010 struct { + time []int +} + +// ans 是答案 +// one 代表第一个答案 +type ans1010 struct { + one int +} + +func Test_Problem1010(t *testing.T) { + + qs := []question1010{ + + { + para1010{[]int{30, 20, 150, 100, 40}}, + ans1010{3}, + }, + + { + para1010{[]int{60, 60, 60}}, + ans1010{3}, + }, + } + + fmt.Printf("------------------------Leetcode Problem 1010------------------------\n") + + for _, q := range qs { + _, p := q.ans1010, q.para1010 + fmt.Printf("【input】:%v 【output】:%v\n", p, numPairsDivisibleBy60(p.time)) + } + fmt.Printf("\n\n\n") +} diff --git a/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/README.md b/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/README.md new file mode 100644 index 00000000..a49f1120 --- /dev/null +++ b/leetcode/1010.Pairs-of-Songs-With-Total-Durations-Divisible-by-60/README.md @@ -0,0 +1,63 @@ +# [1010. Pairs of Songs With Total Durations Divisible by 60](https://leetcode.com/problems/pairs-of-songs-with-total-durations-divisible-by-60/) + + +## 题目 + +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`. + +**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 * 104` +- `1 <= time[i] <= 500` + +## 题目大意 + +在歌曲列表中,第 i 首歌曲的持续时间为 time[i] 秒。 + +返回其总持续时间(以秒为单位)可被 60 整除的歌曲对的数量。形式上,我们希望下标数字 i 和 j 满足  i < j 且有 (time[i] + time[j]) % 60 == 0。 + +## 解题思路 + +- 简单题。先将数组每个元素对 60 取余,将它们都转换到 [0,59] 之间。然后在数组中找两两元素之和等于 60 的数对。可以在 0-30 之内对半查找符合条件的数对。对 0 和 30 单独计算。因为多个 0 相加,余数还为 0 。2 个 30 相加之和为 60。 + +## 代码 + +```go +func numPairsDivisibleBy60(time []int) int { + counts := make([]int, 60) + for _, v := range time { + v %= 60 + counts[v]++ + } + res := 0 + for i := 1; i < len(counts)/2; i++ { + res += counts[i] * counts[60-i] + } + res += (counts[0] * (counts[0] - 1)) / 2 + res += (counts[30] * (counts[30] - 1)) / 2 + return res +} +``` \ No newline at end of file