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--- | ||
title: 875. Koko Eating Bananas | ||
subtitle: "https://leetcode.com/problems/koko-eating-bananas/description/" | ||
date: 2024-03-28T18:03:00+08:00 | ||
lastmod: 2024-03-28T18:03:00+08:00 | ||
draft: false | ||
author: "Kimi.Tsai" | ||
authorLink: "https://kimi0230.github.io/" | ||
description: "0875.Koko-Eating-Bananas" | ||
license: "" | ||
images: [] | ||
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tags: [LeetCode, Go, Medium, Koko Eating Bananas, Array, Binary Search] | ||
categories: [LeetCode] | ||
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featuredImage: "" | ||
featuredImagePreview: "" | ||
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hiddenFromHomePage: false | ||
hiddenFromSearch: false | ||
twemoji: false | ||
lightgallery: true | ||
ruby: true | ||
fraction: true | ||
fontawesome: true | ||
linkToMarkdown: false | ||
rssFullText: false | ||
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toc: | ||
enable: true | ||
auto: true | ||
code: | ||
copy: true | ||
maxShownLines: 200 | ||
math: | ||
enable: false | ||
# ... | ||
mapbox: | ||
# ... | ||
share: | ||
enable: true | ||
# ... | ||
comment: | ||
enable: true | ||
# ... | ||
library: | ||
css: | ||
# someCSS = "some.css" | ||
# located in "assets/" | ||
# Or | ||
# someCSS = "https://cdn.example.com/some.css" | ||
js: | ||
# someJS = "some.js" | ||
# located in "assets/" | ||
# Or | ||
# someJS = "https://cdn.example.com/some.js" | ||
seo: | ||
images: [] | ||
# ... | ||
--- | ||
# [875. Koko Eating Bananas](https://leetcode.com/problems/koko-eating-bananas/description/) | ||
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## 題目 | ||
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## 題目大意 | ||
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## 解題思路 | ||
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## Big O | ||
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* 時間複雜 : `O(n log m)`,其中 n 是香蕉堆的數量,m 是香蕉堆中香蕉數量的最大值 | ||
* 空間複雜 : `O(1)` | ||
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## 來源 | ||
* https://leetcode.com/problems/koko-eating-bananas/description/ | ||
* https://leetcode.cn/problems/koko-eating-bananas/description/ | ||
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## 解答 | ||
https://github.com/kimi0230/LeetcodeGolang/blob/master/Leetcode/0875.Koko-Eating-Bananas/main.go | ||
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```go | ||
package kokoeatingbananas | ||
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// 時間複雜 O(n log m), 空間複雜 O(1) | ||
func minEatingSpeed(piles []int, h int) int { | ||
// 找出最大的香蕉堆 | ||
left, right := 1, maxPile(piles) | ||
for left < right { | ||
// mid 代表消耗香蕉的速度(k) | ||
mid := int(uint(left+right) >> 1) | ||
if executeTime(piles, mid) <= h { | ||
right = mid | ||
} else { | ||
left = mid + 1 | ||
} | ||
} | ||
return left | ||
} | ||
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// 假設消耗速度k, 算出要花多少時間 | ||
func executeTime(piles []int, k int) int { | ||
time := 0 | ||
for _, pile := range piles { | ||
time += pile / k | ||
if pile%k > 0 { | ||
time++ | ||
} | ||
// time += int(math.Ceil(float64(pile) / float64(k))) | ||
} | ||
return time | ||
} | ||
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func maxPile(piles []int) int { | ||
result := 0 | ||
for _, pile := range piles { | ||
if result < pile { | ||
result = pile | ||
} | ||
} | ||
return result | ||
} | ||
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``` | ||
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## Benchmark | ||
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```sh | ||
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``` |
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package kokoeatingbananas | ||
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// 時間複雜 O(n log m), 空間複雜 O(1) | ||
func minEatingSpeed(piles []int, h int) int { | ||
// 找出最大的香蕉堆 | ||
left, right := 1, maxPile(piles) | ||
for left < right { | ||
// mid 代表消耗香蕉的速度(k) | ||
mid := int(uint(left+right) >> 1) | ||
if executeTime(piles, mid) <= h { | ||
right = mid | ||
} else { | ||
left = mid + 1 | ||
} | ||
} | ||
return left | ||
} | ||
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// 假設消耗速度k, 算出要花多少時間 | ||
func executeTime(piles []int, k int) int { | ||
time := 0 | ||
for _, pile := range piles { | ||
time += pile / k | ||
if pile%k > 0 { | ||
time++ | ||
} | ||
// time += int(math.Ceil(float64(pile) / float64(k))) | ||
} | ||
return time | ||
} | ||
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func maxPile(piles []int) int { | ||
result := 0 | ||
for _, pile := range piles { | ||
if result < pile { | ||
result = pile | ||
} | ||
} | ||
return result | ||
} |
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package kokoeatingbananas | ||
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import "testing" | ||
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var tests = []struct { | ||
piles []int | ||
h int | ||
want int | ||
}{ | ||
{ | ||
[]int{3, 6, 7, 11}, | ||
8, | ||
4, | ||
}, | ||
{ | ||
[]int{30, 11, 23, 4, 20}, | ||
5, | ||
30, | ||
}, | ||
{ | ||
[]int{30, 11, 23, 4, 20}, | ||
6, | ||
23, | ||
}, | ||
} | ||
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func TestMinEatingSpeed(t *testing.T) { | ||
for _, tt := range tests { | ||
if got := minEatingSpeed(tt.piles, tt.h); got != tt.want { | ||
t.Errorf("minEatingSpeed(%v, %v) = %v, want %v", tt.piles, tt.h, got, tt.want) | ||
} | ||
} | ||
} | ||
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func BenchmarkMinEatingSpeed(b *testing.B) { | ||
for i := 0; i < b.N; i++ { | ||
minEatingSpeed(tests[0].piles, tests[0].h) | ||
} | ||
} |