From 0cb51ecefa3638a076ae99ccfdbbda3f10e3c0c8 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Thu, 31 Oct 2019 01:02:14 +0800 Subject: [PATCH] auto commit --- README.md | 12 ++------ docs/notes/Leetcode 题解 - 贪心思想.md | 28 ++++++++++-------- .../6fb7cf89-71b3-48c1-bc6a-5110e1f1fc15.gif | Bin 0 -> 91598 bytes notes/Leetcode 题解 - 贪心思想.md | 28 ++++++++++-------- .../6fb7cf89-71b3-48c1-bc6a-5110e1f1fc15.gif | Bin 0 -> 91598 bytes 5 files changed, 32 insertions(+), 36 deletions(-) create mode 100644 docs/pics/6fb7cf89-71b3-48c1-bc6a-5110e1f1fc15.gif create mode 100644 notes/pics/6fb7cf89-71b3-48c1-bc6a-5110e1f1fc15.gif diff --git a/README.md b/README.md index af5c6f1b..df94aeba 100644 --- a/README.md +++ b/README.md @@ -80,20 +80,12 @@ ## :memo: 后记 -## 微信公众号 - -更多精彩内容将发布在微信公众号 CyC2018 上,你也可以在公众号后台和我交流学习和求职相关的问题。另外,公众号提供了该项目的 PDF 等离线阅读版本,也提供了一份技术面试复习大纲,不仅系统整理了面试知识点,而且标注了各个知识点的重要程度,从而帮你理清多而杂的面试知识点。回复 CyC 即可领取资料。 -
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+ 我的面经 / 我的简历 / 简历模版 / 内推 / 专栏 / QQ 群 +

- -### 更多内容 - - 我的面经 / 我的简历 / 简历模版 / 内推 / 专栏 / QQ 群 - ### 排版 笔记内容按照 [中文文案排版指北](https://github.com/sparanoid/chinese-copywriting-guidelines) 进行排版,以保证内容的可读性。 diff --git a/docs/notes/Leetcode 题解 - 贪心思想.md b/docs/notes/Leetcode 题解 - 贪心思想.md index e50c9638..b3db3e8e 100644 --- a/docs/notes/Leetcode 题解 - 贪心思想.md +++ b/docs/notes/Leetcode 题解 - 贪心思想.md @@ -22,27 +22,29 @@ [Leetcode](https://leetcode.com/problems/assign-cookies/description/) / [力扣](https://leetcode-cn.com/problems/assign-cookies/description/) ```html -Input: [1,2], [1,2,3] +Input: grid[1,3], size[1,2,4] Output: 2 - -Explanation: You have 2 children and 3 cookies. The greed factors of 2 children are 1, 2. -You have 3 cookies and their sizes are big enough to gratify all of the children, -You need to output 2. ``` -题目描述:每个孩子都有一个满足度,每个饼干都有一个大小,只有饼干的大小大于等于一个孩子的满足度,该孩子才会获得满足。求解最多可以获得满足的孩子数量。 +题目描述:每个孩子都有一个满足度 grid,每个饼干都有一个大小 size,只有饼干的大小大于等于一个孩子的满足度,该孩子才会获得满足。求解最多可以获得满足的孩子数量。 -给一个孩子的饼干应当尽量小又能满足该孩子,这样大饼干就能拿来给满足度比较大的孩子。因为最小的孩子最容易得到满足,所以先满足最小的孩子。 +1. 给一个孩子的饼干应当尽量小并且又能满足该孩子,这样大饼干才能拿来给满足度比较大的孩子。 +2. 因为满足度最小的孩子最容易得到满足,所以先满足满足度最小的孩子。 -证明:假设在某次选择中,贪心策略选择给当前满足度最小的孩子分配第 m 个饼干,第 m 个饼干为可以满足该孩子的最小饼干。假设存在一种最优策略,给该孩子分配第 n 个饼干,并且 m < n。我们可以发现,经过这一轮分配,贪心策略分配后剩下的饼干一定有一个比最优策略来得大。因此在后续的分配中,贪心策略一定能满足更多的孩子。也就是说不存在比贪心策略更优的策略,即贪心策略就是最优策略。 +在以上的解法中,我们只在每次分配时饼干时选择一种看起来是当前最优的分配方法,但无法保证这种局部最优的分配方法最后能得到全局最优解。我们假设能得到全局最优解,并使用反证法进行证明,即假设存在一种比我们使用的贪心策略更优的最优策略。如果不存在这种最优策略,表示贪心策略就是最优策略,得到的解也就是全局最优解。 + +证明:假设在某次选择中,贪心策略选择给当前满足度最小的孩子分配第 m 个饼干,第 m 个饼干为可以满足该孩子的最小饼干。假设存在一种最优策略,可以给该孩子分配第 n 个饼干,并且 m < n。我们可以发现,经过这一轮分配,贪心策略分配后剩下的饼干一定有一个比最优策略来得大。因此在后续的分配中,贪心策略一定能满足更多的孩子。也就是说不存在比贪心策略更优的策略,即贪心策略就是最优策略。 + +

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