From 46b047777812f1d4d0872a9112a7cb2cc73617e3 Mon Sep 17 00:00:00 2001 From: linghuam <1551827898@qq.com> Date: Thu, 30 May 2019 19:54:19 +0800 Subject: [PATCH] a --- .../学习js数据结构与算法/sort&search.js | 17 ++++ .../学习js数据结构与算法/学习js数据结构与算法.md | 79 +++++++++++++++++- .../学习js数据结构与算法/时间复杂度曲线图.jpg | Bin 0 -> 75756 bytes 3 files changed, 94 insertions(+), 2 deletions(-) create mode 100644 b00-阅读笔记/学习js数据结构与算法/时间复杂度曲线图.jpg diff --git a/b00-阅读笔记/学习js数据结构与算法/sort&search.js b/b00-阅读笔记/学习js数据结构与算法/sort&search.js index 248363c..39b927d 100644 --- a/b00-阅读笔记/学习js数据结构与算法/sort&search.js +++ b/b00-阅读笔记/学习js数据结构与算法/sort&search.js @@ -110,4 +110,21 @@ function partition(arr, left, right) { } } return i; +} + +function binarySearch(arr, value) { + var left = 0, + right = arr.length - 1; + var mid; + while(left <= right) { + mid = Math.floor((left+right)/2); + if (value < arr[mid]) { + right = mid - 1; + } else if(value > arr[mid]){ + left = mid + 1; + } else { + return mid; + } + } + return -1; } \ No newline at end of file diff --git a/b00-阅读笔记/学习js数据结构与算法/学习js数据结构与算法.md b/b00-阅读笔记/学习js数据结构与算法/学习js数据结构与算法.md index 7017aa8..5be9dfe 100644 --- a/b00-阅读笔记/学习js数据结构与算法/学习js数据结构与算法.md +++ b/b00-阅读笔记/学习js数据结构与算法/学习js数据结构与算法.md @@ -644,8 +644,83 @@ function partition(arr, left, right) { ### 顺序搜索 -### 二分搜索 +一一对比。 + +### 二分搜索(二分查找) + +对于已排好序的数组。 + +```js +function binarySearch(arr, value) { + var left = 0, + right = arr.length - 1; + var mid; + while(left <= right) { + mid = Math.floor((left+right)/2); + if (value < arr[mid]) { + right = mid - 1; + } else if(value > arr[mid]){ + left = mid + 1; + } else { + return mid; + } + } + return -1; +} +``` ## 算法补充知识 -## 时间复杂度速查表 \ No newline at end of file +### 递归 + +[尾调用优化](https://juejin.im/post/5a4d898a518825698e7277d1) + +```js +// 递归 +function fibonacci(num) { + if (num === 1 || num === 2) return 1; + return fibonacci(num-1) + fibonacci(num-2); +} + +// 非递归 +function fibonacci(num) { + var n1 = 1, n2 = 1, n=1; + for (var i = 3; i <= num; i++) { + n = n1 + n2; + n1 = n2; + n2 = n; + } + return n; +} +``` + +### 动态规划(Dynamic Programming, DP) + +是一种将复杂问题分解成更小的子问题来解决的优化技术。 + +要注意动态规划和分而治之(归并排序和快速排序算法中用到的那种)是不同的方法。 +分而治之方法是把问题分解成相互独立的子问题,然后组合它们的答案,而动态规划则是将问题分解成相互依赖的子问题。 + +解决的问题: + +* 背包问题:给出一组项目,各自有值和容量,目标是找出总值最大的项目的集合。这个 +问题的限制是,总容量必须小于等于“背包”的容量。 + +* 最长公共子序列:找出一组序列的最长公共子序列(可由另一序列删除元素但不改变余 +下元素的顺序而得到)。 + +* 矩阵链相乘:给出一系列矩阵,目标是找到这些矩阵相乘的最高效办法(计算次数尽可 +能少)。相乘操作不会进行,解决方案是找到这些矩阵各自相乘的顺序。 + +* 硬币找零:给出面额为d1…dn的一定数量的硬币和要找零的钱数,找出有多少种找零的 +方法。 + +* 图的全源最短路径:对所有顶点对(u, v),找出从顶点u到顶点v的最短路 + +### 贪心算法 + +### 大 O 表示法 + +## 时间复杂度速查表 + +![时间复杂度曲线图](./时间复杂度曲线图.jpg) \ No newline at end of file diff --git a/b00-阅读笔记/学习js数据结构与算法/时间复杂度曲线图.jpg b/b00-阅读笔记/学习js数据结构与算法/时间复杂度曲线图.jpg new file mode 100644 index 0000000000000000000000000000000000000000..931a9c9eb139c2f1efe645c3241dafffe8b7b458 GIT binary patch literal 75756 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