Add solution 1383

This commit is contained in:
YDZ
2021-06-06 01:48:24 +08:00
parent 640dc700a6
commit dbdc464dee
23 changed files with 735 additions and 414 deletions

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package leetcode
import (
"container/heap"
"sort"
)
func maxPerformance(n int, speed []int, efficiency []int, k int) int {
indexes := make([]int, n)
for i := range indexes {
indexes[i] = i
}
sort.Slice(indexes, func(i, j int) bool {
return efficiency[indexes[i]] > efficiency[indexes[j]]
})
ph := speedHeap{}
heap.Init(&ph)
speedSum := 0
var max int64
for _, index := range indexes {
if ph.Len() == k {
speedSum -= heap.Pop(&ph).(int)
}
speedSum += speed[index]
heap.Push(&ph, speed[index])
max = Max(max, int64(speedSum)*int64(efficiency[index]))
}
return int(max % (1e9 + 7))
}
type speedHeap []int
func (h speedHeap) Less(i, j int) bool { return h[i] < h[j] }
func (h speedHeap) Swap(i, j int) { h[i], h[j] = h[j], h[i] }
func (h speedHeap) Len() int { return len(h) }
func (h *speedHeap) Push(x interface{}) { *h = append(*h, x.(int)) }
func (h *speedHeap) Pop() interface{} {
res := (*h)[len(*h)-1]
*h = (*h)[:h.Len()-1]
return res
}
func Max(a, b int64) int64 {
if a > b {
return a
}
return b
}

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package leetcode
import (
"fmt"
"testing"
)
type question1383 struct {
para1383
ans1383
}
// para 是参数
// one 代表第一个参数
type para1383 struct {
n int
speed []int
efficiency []int
k int
}
// ans 是答案
// one 代表第一个答案
type ans1383 struct {
one int
}
func Test_Problem1383(t *testing.T) {
qs := []question1383{
{
para1383{6, []int{2, 10, 3, 1, 5, 8}, []int{5, 4, 3, 9, 7, 2}, 2},
ans1383{60},
},
{
para1383{6, []int{2, 10, 3, 1, 5, 8}, []int{5, 4, 3, 9, 7, 2}, 3},
ans1383{68},
},
{
para1383{6, []int{2, 10, 3, 1, 5, 8}, []int{5, 4, 3, 9, 7, 2}, 4},
ans1383{72},
},
}
fmt.Printf("------------------------Leetcode Problem 1383------------------------\n")
for _, q := range qs {
_, p := q.ans1383, q.para1383
fmt.Printf("【input】:%v 【output】:%v\n", p, maxPerformance(p.n, p.speed, p.efficiency, p.k))
}
fmt.Printf("\n\n\n")
}

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# [1383. Maximum Performance of a Team](https://leetcode.com/problems/maximum-performance-of-a-team/)
## 题目
You are given two integers `n` and `k` and two integer arrays `speed` and `efficiency` both of length `n`. There are `n` engineers numbered from `1` to `n`. `speed[i]` and `efficiency[i]` represent the speed and efficiency of the `ith` engineer respectively.
Choose **at most** `k` different engineers out of the `n` engineers to form a team with the maximum **performance**.
The performance of a team is the sum of their engineers' speeds multiplied by the minimum efficiency among their engineers.
Return *the maximum performance of this team*. Since the answer can be a huge number, return it **modulo** `109 + 7`.
**Example 1:**
```
Input: n = 6, speed = [2,10,3,1,5,8], efficiency = [5,4,3,9,7,2], k = 2
Output: 60
Explanation:
We have the maximum performance of the team by selecting engineer 2 (with speed=10 and efficiency=4) and engineer 5 (with speed=5 and efficiency=7). That is, performance = (10 + 5) * min(4, 7) = 60.
```
**Example 2:**
```
Input: n = 6, speed = [2,10,3,1,5,8], efficiency = [5,4,3,9,7,2], k = 3
Output: 68
Explanation:
This is the same example as the first but k = 3. We can select engineer 1, engineer 2 and engineer 5 to get the maximum performance of the team. That is, performance = (2 + 10 + 5) * min(5, 4, 7) = 68.
```
**Example 3:**
```
Input: n = 6, speed = [2,10,3,1,5,8], efficiency = [5,4,3,9,7,2], k = 4
Output: 72
```
**Constraints:**
- `1 <= <= k <= n <= 105`
- `speed.length == n`
- `efficiency.length == n`
- `1 <= speed[i] <= 105`
- `1 <= efficiency[i] <= 108`
## 题目大意
公司有编号为 1 到 n 的 n 个工程师给你两个数组 speed 和 efficiency 其中 speed[i] 和 efficiency[i] 分别代表第 i 位工程师的速度和效率。请你返回由最多 k 个工程师组成的 最大团队表现值 由于答案可能很大请你返回结果对 10^9 + 7 取余后的结果。团队表现值 的定义为:一个团队中「所有工程师速度的和」乘以他们「效率值中的最小值」。
## 解题思路
- 题目要求返回最大团队表现值,表现值需要考虑速度的累加和,和效率的最小值。即使速度快,效率的最小值很小,总的表现值还是很小。先将效率从大到小排序。从效率高的工程师开始选起,遍历过程中维护一个大小为 k 的速度最小堆。每次遍历都计算一次团队最大表现值。扫描完成,最大团队表现值也筛选出来了。具体实现见下面的代码。
## 代码
```go
package leetcode
import (
"container/heap"
"sort"
)
func maxPerformance(n int, speed []int, efficiency []int, k int) int {
indexes := make([]int, n)
for i := range indexes {
indexes[i] = i
}
sort.Slice(indexes, func(i, j int) bool {
return efficiency[indexes[i]] > efficiency[indexes[j]]
})
ph := speedHeap{}
heap.Init(&ph)
speedSum := 0
var max int64
for _, index := range indexes {
if ph.Len() == k {
speedSum -= heap.Pop(&ph).(int)
}
speedSum += speed[index]
heap.Push(&ph, speed[index])
max = Max(max, int64(speedSum)*int64(efficiency[index]))
}
return int(max % (1e9 + 7))
}
type speedHeap []int
func (h speedHeap) Less(i, j int) bool { return h[i] < h[j] }
func (h speedHeap) Swap(i, j int) { h[i], h[j] = h[j], h[i] }
func (h speedHeap) Len() int { return len(h) }
func (h *speedHeap) Push(x interface{}) { *h = append(*h, x.(int)) }
func (h *speedHeap) Pop() interface{} {
res := (*h)[len(*h)-1]
*h = (*h)[:h.Len()-1]
return res
}
func Max(a, b int64) int64 {
if a > b {
return a
}
return b
}
```