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‎README.zh-CN.md

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_Read this in other languages:_
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[_English_](https://github.com/trekhleb/javascript-algorithms/),
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[繁體中文](https://github.com/trekhleb/javascript-algorithms/blob/master/README.zh-TW.md)
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[繁體中文](README.zh-TW.md)
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## 数据结构
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数据结构是在计算机中组织和存储数据的一种特殊方式,它可以高效地访问和修改数据。更确切地说,数据结构是数据值的集合,它们之间的关系、函数或操作可以应用于数据。
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* [链表](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/linked-list)
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* [队列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/queue)
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* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/stack)
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* [哈希表](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/hash-table)
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* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/heap)
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* [优先队列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/priority-queue)
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* [字典树](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/trie)
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* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree)
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* [二分查找](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree/binary-search-tree)
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* [AVL 树](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree/avl-tree)
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* [红黑树](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree/red-black-tree)
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* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/graph) (有向图与无向图)
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* [并查集](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/disjoint-set)
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* [链表](src/data-structures/linked-list)
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* [队列](src/data-structures/queue)
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* [](src/data-structures/stack)
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* [哈希表](src/data-structures/hash-table)
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* [](src/data-structures/heap)
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* [优先队列](src/data-structures/priority-queue)
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* [字典树](src/data-structures/trie)
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* [](src/data-structures/tree)
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* [二分查找](src/data-structures/tree/binary-search-tree)
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* [AVL 树](src/data-structures/tree/avl-tree)
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* [红黑树](src/data-structures/tree/red-black-tree)
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* [](src/data-structures/graph) (有向图与无向图)
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* [并查集](src/data-structures/disjoint-set)
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## 算法
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### 算法主题
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* **数学**
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* [阶乘](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/factorial)
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* [斐波那契数](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/fibonacci)
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* [素数检测](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/primality-test) (排除法)
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* [欧几里得算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/euclidean-algorithm) - 计算最大公约数(GCD)
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* [最小公倍数](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/least-common-multiple) (LCM)
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* [整数拆分](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/integer-partition)
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* [阶乘](src/algorithms/math/factorial)
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* [斐波那契数](src/algorithms/math/fibonacci)
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* [素数检测](src/algorithms/math/primality-test) (排除法)
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* [欧几里得算法](src/algorithms/math/euclidean-algorithm) - 计算最大公约数(GCD)
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* [最小公倍数](src/algorithms/math/least-common-multiple) (LCM)
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* [整数拆分](src/algorithms/math/integer-partition)
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* **集合**
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* [笛卡尔积](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/cartesian-product) - 多集合结果
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* [幂集](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/power-set) - 该集合的所有子集
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* [排列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/permutations) (有/无重复)
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* [组合](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/combinations) (有/无重复)
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* [洗牌算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/fisher-yates) - 随机置换有限序列
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* [最长公共子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-common-subsequence) (LCS)
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* [最长递增子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-increasing-subsequence)
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* [Shortest Common Supersequence](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/shortest-common-supersequence) (SCS)
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* [背包问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/knapsack-problem) - "0/1" and "Unbound" ones
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* [最大子数列问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/maximum-subarray) - BF算法 与 动态编程
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* [笛卡尔积](src/algorithms/sets/cartesian-product) - 多集合结果
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* [幂集](src/algorithms/sets/power-set) - 该集合的所有子集
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* [排列](src/algorithms/sets/permutations) (有/无重复)
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* [组合](src/algorithms/sets/combinations) (有/无重复)
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* [洗牌算法](src/algorithms/sets/fisher-yates) - 随机置换有限序列
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* [最长公共子序列](src/algorithms/sets/longest-common-subsequence) (LCS)
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* [最长递增子序列](src/algorithms/sets/longest-increasing-subsequence)
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* [Shortest Common Supersequence](src/algorithms/sets/shortest-common-supersequence) (SCS)
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* [背包问题](src/algorithms/sets/knapsack-problem) - "0/1" and "Unbound" ones
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* [最大子数列问题](src/algorithms/sets/maximum-subarray) - BF算法 与 动态编程
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* **字符串**
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* [莱温斯坦距离](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/levenshtein-distance) - 两个序列之间的最小编辑距离
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* [汉明距离](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/hamming-distance) - 符号不同的位置数
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* [克努斯-莫里斯-普拉特算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/knuth-morris-pratt) - 子串搜索
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* [字符串快速查找](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/rabin-karp) - 子串搜索
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* [最长公共子串](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/longest-common-substring)
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* [莱温斯坦距离](src/algorithms/string/levenshtein-distance) - 两个序列之间的最小编辑距离
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* [汉明距离](src/algorithms/string/hamming-distance) - 符号不同的位置数
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* [克努斯-莫里斯-普拉特算法](src/algorithms/string/knuth-morris-pratt) - 子串搜索
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* [字符串快速查找](src/algorithms/string/rabin-karp) - 子串搜索
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* [最长公共子串](src/algorithms/string/longest-common-substring)
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* **搜索**
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* [二分查找](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/search/binary-search)
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* [二分查找](src/algorithms/search/binary-search)
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* **排序**
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* [冒泡排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/bubble-sort)
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* [选择排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/selection-sort)
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* [插入排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/insertion-sort)
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* [堆排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/heap-sort)
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* [归并排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/merge-sort)
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* [快速排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/quick-sort)
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* [希尔排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/shell-sort)
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* [冒泡排序](src/algorithms/sorting/bubble-sort)
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* [选择排序](src/algorithms/sorting/selection-sort)
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* [插入排序](src/algorithms/sorting/insertion-sort)
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* [堆排序](src/algorithms/sorting/heap-sort)
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* [归并排序](src/algorithms/sorting/merge-sort)
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* [快速排序](src/algorithms/sorting/quick-sort)
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* [希尔排序](src/algorithms/sorting/shell-sort)
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* ****
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* [深度优先搜索](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/tree/depth-first-search) (DFS)
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* [广度优先搜索](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/tree/breadth-first-search) (BFS)
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* [深度优先搜索](src/algorithms/tree/depth-first-search) (DFS)
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* [广度优先搜索](src/algorithms/tree/breadth-first-search) (BFS)
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* ****
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* [深度优先搜索](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/depth-first-search) (DFS)
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* [广度优先搜索](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/breadth-first-search) (BFS)
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* [戴克斯特拉算法m](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/dijkstra) - 找到所有图顶点的最短路径
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* [贝尔曼-福特算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/bellman-ford) - 找到所有图顶点的最短路径
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* [判圈算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/detect-cycle) - 对于有向图和无向图(基于DFS和不相交集的版本)
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* [普林演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/prim) - 寻找加权无向图的最小生成树(MST)
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* [克鲁斯克尔演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/kruskal) - 寻找加权无向图的最小生成树(MST)
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* [拓撲排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/topological-sorting) - DFS 方法
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* [关节点](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/articulation-points) - Tarjan算法(基于DFS)
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* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/bridges) - 基于DFS的算法
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* [欧拉路径与一笔画问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/eulerian-path) - Fleury的算法 - 一次访问每个边缘
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* [哈密顿图](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/hamiltonian-cycle) - 恰好访问每个顶点一次
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* [强连通分量](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/strongly-connected-components) - Kosaraju算法
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* [旅行推销员问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/travelling-salesman) - 尽可能以最短的路线访问每个城市并返回原始城市
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* [深度优先搜索](src/algorithms/graph/depth-first-search) (DFS)
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* [广度优先搜索](src/algorithms/graph/breadth-first-search) (BFS)
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* [戴克斯特拉算法m](src/algorithms/graph/dijkstra) - 找到所有图顶点的最短路径
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* [贝尔曼-福特算法](src/algorithms/graph/bellman-ford) - 找到所有图顶点的最短路径
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* [判圈算法](src/algorithms/graph/detect-cycle) - 对于有向图和无向图(基于DFS和不相交集的版本)
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* [普林演算法](src/algorithms/graph/prim) - 寻找加权无向图的最小生成树(MST)
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* [克鲁斯克尔演算法](src/algorithms/graph/kruskal) - 寻找加权无向图的最小生成树(MST)
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* [拓撲排序](src/algorithms/graph/topological-sorting) - DFS 方法
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* [关节点](src/algorithms/graph/articulation-points) - Tarjan算法(基于DFS)
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* [](src/algorithms/graph/bridges) - 基于DFS的算法
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* [欧拉路径与一笔画问题](src/algorithms/graph/eulerian-path) - Fleury的算法 - 一次访问每个边缘
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* [哈密顿图](src/algorithms/graph/hamiltonian-cycle) - 恰好访问每个顶点一次
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* [强连通分量](src/algorithms/graph/strongly-connected-components) - Kosaraju算法
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* [旅行推销员问题](src/algorithms/graph/travelling-salesman) - 尽可能以最短的路线访问每个城市并返回原始城市
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* **未分类**
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* [汉诺塔](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/hanoi-tower)
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* [八皇后问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/n-queens)
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* [骑士巡逻](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/knight-tour)
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* [汉诺塔](src/algorithms/uncategorized/hanoi-tower)
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* [八皇后问题](src/algorithms/uncategorized/n-queens)
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* [骑士巡逻](src/algorithms/uncategorized/knight-tour)
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### 算法范式
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算法范式是基于类的设计的通用方法或方法的算法。 这是一个比算法概念更高的抽象,就像一个
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算法是比计算机程序更高的抽象。
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* **BF算法** - 查找所有可能性并选择最佳解决方案
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* [最大子数列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/maximum-subarray)
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* [旅行推销员问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/travelling-salesman) - 尽可能以最短的路线访问每个城市并返回原始城市
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* [最大子数列](src/algorithms/sets/maximum-subarray)
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* [旅行推销员问题](src/algorithms/graph/travelling-salesman) - 尽可能以最短的路线访问每个城市并返回原始城市
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* **贪心法** - 在当前选择最佳选项,不考虑以后情况
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* [背包问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/knapsack-problem)
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* [戴克斯特拉算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/dijkstra) - 找到所有图顶点的最短路径
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* [普里姆算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/prim) - 寻找加权无向图的最小生成树(MST)
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* [克鲁斯卡尔算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/kruskal) - 寻找加权无向图的最小生成树(MST)
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* [背包问题](src/algorithms/sets/knapsack-problem)
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* [戴克斯特拉算法](src/algorithms/graph/dijkstra) - 找到所有图顶点的最短路径
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* [普里姆算法](src/algorithms/graph/prim) - 寻找加权无向图的最小生成树(MST)
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* [克鲁斯卡尔算法](src/algorithms/graph/kruskal) - 寻找加权无向图的最小生成树(MST)
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* **分治法** - 将问题分成较小的部分,然后解决这些部分
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* [二分查找](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/search/binary-search)
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* [汉诺塔](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/hanoi-tower)
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* [欧几里得算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/euclidean-algorithm) - 计算最大公约数(GCD)
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* [排列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/permutations) (有/无重复)
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* [组合](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/combinations) (有/无重复)
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* [归并排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/merge-sort)
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* [Quicksort](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/quick-sort)
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* [树深度优先搜索](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/tree/depth-first-search) (DFS)
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* [图深度优先搜索](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/depth-first-search) (DFS)
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* [二分查找](src/algorithms/search/binary-search)
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* [汉诺塔](src/algorithms/uncategorized/hanoi-tower)
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* [欧几里得算法](src/algorithms/math/euclidean-algorithm) - 计算最大公约数(GCD)
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* [排列](src/algorithms/sets/permutations) (有/无重复)
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* [组合](src/algorithms/sets/combinations) (有/无重复)
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* [归并排序](src/algorithms/sorting/merge-sort)
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* [Quicksort](src/algorithms/sorting/quick-sort)
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* [树深度优先搜索](src/algorithms/tree/depth-first-search) (DFS)
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* [图深度优先搜索](src/algorithms/graph/depth-first-search) (DFS)
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* **动态编程** - 使用以前找到的子解决方案构建解决方案
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* [斐波那契数](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/fibonacci)
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* [莱温斯坦距离](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/levenshtein-distance) - 两个序列之间的最小编辑距离
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* [最长公共子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-common-subsequnce) (LCS)
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* [最长公共子串](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/longest-common-substring)
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* [最长递增子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-increasing-subsequence)
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* [最短公共子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/shortest-common-supersequence)
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* [0-1背包问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/knapsack-problem)
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* [整数拆分](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/integer-partition)
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* [最大子数列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/maximum-subarray)
129-
* [贝尔曼-福特算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/bellman-ford) - 找到所有图顶点的最短路径
120+
* [斐波那契数](src/algorithms/math/fibonacci)
121+
* [莱温斯坦距离](src/algorithms/string/levenshtein-distance) - 两个序列之间的最小编辑距离
122+
* [最长公共子序列](src/algorithms/sets/longest-common-subsequence) (LCS)
123+
* [最长公共子串](src/algorithms/string/longest-common-substring)
124+
* [最长递增子序列](src/algorithms/sets/longest-increasing-subsequence)
125+
* [最短公共子序列](src/algorithms/sets/shortest-common-supersequence)
126+
* [0-1背包问题](src/algorithms/sets/knapsack-problem)
127+
* [整数拆分](src/algorithms/math/integer-partition)
128+
* [最大子数列](src/algorithms/sets/maximum-subarray)
129+
* [贝尔曼-福特算法](src/algorithms/graph/bellman-ford) - 找到所有图顶点的最短路径
130130
* **回溯法** - 类似于 BF算法 试图产生所有可能的解决方案,但每次生成解决方案测试如果它满足所有条件,那么只有继续生成后续解决方案。 否则回溯并继续寻找不同路径的解决方案。
131-
* [哈密顿图](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/hamiltonian-cycle) - 恰好访问每个顶点一次
132-
* [八皇后问题](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/n-queens)
133-
* [骑士巡逻](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/knight-tour)
131+
* [哈密顿图](src/algorithms/graph/hamiltonian-cycle) - 恰好访问每个顶点一次
132+
* [八皇后问题](src/algorithms/uncategorized/n-queens)
133+
* [骑士巡逻](src/algorithms/uncategorized/knight-tour)
134134
* **B & B**
135135

136136
## 如何使用本仓库

‎README.zh-TW.md

+90-90
Original file line numberDiff line numberDiff line change
@@ -8,25 +8,25 @@
88

99
_Read this in other languages:_
1010
[_English_](https://github.com/trekhleb/javascript-algorithms/),
11-
[简体中文](https://github.com/trekhleb/javascript-algorithms/blob/master/README.zh-CN.md)
11+
[简体中文](README.zh-CN.md)
1212

1313
## 資料結構
1414

1515
資料結構是一個電腦用來組織和排序資料的特定方式,透過這樣的方式資料可以有效率地被讀取以及修改。更精確地說,一個資料結構是一個資料值的集合、彼此間的關係,函數或者運作可以應用於資料上。
1616

17-
* [鏈結串列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/linked-list)
18-
* [貯列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/queue)
19-
* [堆疊](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/stack)
20-
* [雜湊表](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/hash-table)
21-
* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/heap)
22-
* [優先貯列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/priority-queue)
23-
* [字典樹](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/trie)
24-
* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree)
25-
* [二元搜尋樹](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree/binary-search-tree)
26-
* [AVL樹](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree/avl-tree)
27-
* [紅黑樹](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/tree/red-black-tree)
28-
* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/graph) (有向跟無向皆包含)
29-
* [互斥集](https://github.com/trekhleb/javascript-algorithms/tree/master/src/data-structures/disjoint-set)
17+
* [鏈結串列](src/data-structures/linked-list)
18+
* [貯列](src/data-structures/queue)
19+
* [堆疊](src/data-structures/stack)
20+
* [雜湊表](src/data-structures/hash-table)
21+
* [](src/data-structures/heap)
22+
* [優先貯列](src/data-structures/priority-queue)
23+
* [字典樹](src/data-structures/trie)
24+
* [](src/data-structures/tree)
25+
* [二元搜尋樹](src/data-structures/tree/binary-search-tree)
26+
* [AVL樹](src/data-structures/tree/avl-tree)
27+
* [紅黑樹](src/data-structures/tree/red-black-tree)
28+
* [](src/data-structures/graph) (有向跟無向皆包含)
29+
* [互斥集](src/data-structures/disjoint-set)
3030

3131
## 演算法
3232

@@ -35,99 +35,99 @@ _Read this in other languages:_
3535
### 演算法議題分類
3636

3737
* **數學類**
38-
* [階層](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/factorial)
39-
* [費伯納西數列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/fibonacci)
40-
* [Primality Test](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/primality-test) (排除法)
41-
* [歐幾里得算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/euclidean-algorithm) - 計算最大公因數 (GCD)
42-
* [最小公倍數](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/least-common-multiple) (LCM)
43-
* [整數拆分](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/integer-partition)
38+
* [階層](src/algorithms/math/factorial)
39+
* [費伯納西數列](src/algorithms/math/fibonacci)
40+
* [Primality Test](src/algorithms/math/primality-test) (排除法)
41+
* [歐幾里得算法](src/algorithms/math/euclidean-algorithm) - 計算最大公因數 (GCD)
42+
* [最小公倍數](src/algorithms/math/least-common-multiple) (LCM)
43+
* [整數拆分](src/algorithms/math/integer-partition)
4444
* **集合**
45-
* [笛卡爾積](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/cartesian-product) - 多個集合的乘積
46-
* [冪集合](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/power-set) - 所有集合的子集合
47-
* [排列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/permutations) (有/無重複)
48-
* [组合](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/combinations) (有/無重複)
49-
* [洗牌算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/fisher-yates) - 隨機置換一有限序列
50-
* [最長共同子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-common-subsequence) (LCS)
51-
* [最長遞增子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-increasing-subsequence)
52-
* [Shortest Common Supersequence](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/shortest-common-supersequence) (SCS)
53-
* [背包問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/knapsack-problem) - "0/1" and "Unbound" ones
54-
* [最大子序列問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/maximum-subarray) - 暴力法以及動態編程的(Kadane's)版本
45+
* [笛卡爾積](src/algorithms/sets/cartesian-product) - 多個集合的乘積
46+
* [冪集合](src/algorithms/sets/power-set) - 所有集合的子集合
47+
* [排列](src/algorithms/sets/permutations) (有/無重複)
48+
* [组合](src/algorithms/sets/combinations) (有/無重複)
49+
* [洗牌算法](src/algorithms/sets/fisher-yates) - 隨機置換一有限序列
50+
* [最長共同子序列](src/algorithms/sets/longest-common-subsequence) (LCS)
51+
* [最長遞增子序列](src/algorithms/sets/longest-increasing-subsequence)
52+
* [Shortest Common Supersequence](src/algorithms/sets/shortest-common-supersequence) (SCS)
53+
* [背包問題](src/algorithms/sets/knapsack-problem) - "0/1" and "Unbound" ones
54+
* [最大子序列問題](src/algorithms/sets/maximum-subarray) - 暴力法以及動態編程的(Kadane's)版本
5555
* **字串**
56-
* [萊文斯坦距離](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/levenshtein-distance) - 兩序列間的最小編輯距離
57-
* [漢明距離](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/hamming-distance) - number of positions at which the symbols are different
58-
* [KMP 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/knuth-morris-pratt) - 子字串搜尋
59-
* [Rabin Karp 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/rabin-karp) - 子字串搜尋
60-
* [最長共通子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/longest-common-substring)
56+
* [萊文斯坦距離](src/algorithms/string/levenshtein-distance) - 兩序列間的最小編輯距離
57+
* [漢明距離](src/algorithms/string/hamming-distance) - number of positions at which the symbols are different
58+
* [KMP 演算法](src/algorithms/string/knuth-morris-pratt) - 子字串搜尋
59+
* [Rabin Karp 演算法](src/algorithms/string/rabin-karp) - 子字串搜尋
60+
* [最長共通子序列](src/algorithms/string/longest-common-substring)
6161
* **搜尋**
62-
* [二元搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/search/binary-search)
62+
* [二元搜尋](src/algorithms/search/binary-search)
6363
* **排序**
64-
* [氣泡排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/bubble-sort)
65-
* [選擇排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/selection-sort)
66-
* [插入排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/insertion-sort)
67-
* [堆排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/heap-sort)
68-
* [合併排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/merge-sort)
69-
* [快速排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/quick-sort)
70-
* [希爾排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/shell-sort)
64+
* [氣泡排序](src/algorithms/sorting/bubble-sort)
65+
* [選擇排序](src/algorithms/sorting/selection-sort)
66+
* [插入排序](src/algorithms/sorting/insertion-sort)
67+
* [堆排序](src/algorithms/sorting/heap-sort)
68+
* [合併排序](src/algorithms/sorting/merge-sort)
69+
* [快速排序](src/algorithms/sorting/quick-sort)
70+
* [希爾排序](src/algorithms/sorting/shell-sort)
7171
* ****
72-
* [深度優先搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/tree/depth-first-search) (DFS)
73-
* [廣度優先搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/tree/breadth-first-search) (BFS)
72+
* [深度優先搜尋](src/algorithms/tree/depth-first-search) (DFS)
73+
* [廣度優先搜尋](src/algorithms/tree/breadth-first-search) (BFS)
7474
* ****
75-
* [深度優先搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/depth-first-search) (DFS)
76-
* [廣度優先搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/breadth-first-search) (BFS)
77-
* [Dijkstra 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/dijkstra) - 找到所有圖頂點的最短路徑
78-
* [Bellman-Ford 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/bellman-ford) - 找到所有圖頂點的最短路徑
79-
* [Detect Cycle](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/detect-cycle) - for both directed and undirected graphs (DFS and Disjoint Set based versions)
80-
* [Prim’s 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/prim) - finding Minimum Spanning Tree (MST) for weighted undirected graph
81-
* [Kruskal’s 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/kruskal) - finding Minimum Spanning Tree (MST) for weighted undirected graph
82-
* [拓撲排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/topological-sorting) - DFS method
83-
* [關節點](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/articulation-points) - Tarjan's algorithm (DFS based)
84-
* [](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/bridges) - DFS based algorithm
85-
* [尤拉路徑及尤拉環](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/eulerian-path) - Fleury's algorithm - Visit every edge exactly once
86-
* [漢彌爾頓環](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/hamiltonian-cycle) - Visit every vertex exactly once
87-
* [強連通組件](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/strongly-connected-components) - Kosaraju's algorithm
88-
* [旅行推銷員問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/travelling-salesman) - shortest possible route that visits each city and returns to the origin city
75+
* [深度優先搜尋](src/algorithms/graph/depth-first-search) (DFS)
76+
* [廣度優先搜尋](src/algorithms/graph/breadth-first-search) (BFS)
77+
* [Dijkstra 演算法](src/algorithms/graph/dijkstra) - 找到所有圖頂點的最短路徑
78+
* [Bellman-Ford 演算法](src/algorithms/graph/bellman-ford) - 找到所有圖頂點的最短路徑
79+
* [Detect Cycle](src/algorithms/graph/detect-cycle) - for both directed and undirected graphs (DFS and Disjoint Set based versions)
80+
* [Prim’s 演算法](src/algorithms/graph/prim) - finding Minimum Spanning Tree (MST) for weighted undirected graph
81+
* [Kruskal’s 演算法](src/algorithms/graph/kruskal) - finding Minimum Spanning Tree (MST) for weighted undirected graph
82+
* [拓撲排序](src/algorithms/graph/topological-sorting) - DFS method
83+
* [關節點](src/algorithms/graph/articulation-points) - Tarjan's algorithm (DFS based)
84+
* [](src/algorithms/graph/bridges) - DFS based algorithm
85+
* [尤拉路徑及尤拉環](src/algorithms/graph/eulerian-path) - Fleury's algorithm - Visit every edge exactly once
86+
* [漢彌爾頓環](src/algorithms/graph/hamiltonian-cycle) - Visit every vertex exactly once
87+
* [強連通組件](src/algorithms/graph/strongly-connected-components) - Kosaraju's algorithm
88+
* [旅行推銷員問題](src/algorithms/graph/travelling-salesman) - shortest possible route that visits each city and returns to the origin city
8989
* **未分類**
90-
* [河內塔](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/hanoi-tower)
91-
* [N-皇后問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/n-queens)
92-
* [騎士走棋盤](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/knight-tour)
90+
* [河內塔](src/algorithms/uncategorized/hanoi-tower)
91+
* [N-皇后問題](src/algorithms/uncategorized/n-queens)
92+
* [騎士走棋盤](src/algorithms/uncategorized/knight-tour)
9393

9494
### 演算法範型
9595

9696
演算法的範型是一個泛用方法或設計一類底層演算法的方式。它是一個比演算法的概念更高階的抽象化,就像是演算法是比電腦程式更高階的抽象化。
9797

9898
* **暴力法** - 尋遍所有的可能解然後選取最好的解
99-
* [最大子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/maximum-subarray)
100-
* [旅行推銷員問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/travelling-salesman) - shortest possible route that visits each city and returns to the origin city
99+
* [最大子序列](src/algorithms/sets/maximum-subarray)
100+
* [旅行推銷員問題](src/algorithms/graph/travelling-salesman) - shortest possible route that visits each city and returns to the origin city
101101
* **貪婪法** - choose the best option at the current time, without any consideration for the future
102-
* [未定背包問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/knapsack-problem)
103-
* [Dijkstra 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/dijkstra) - 找到所有圖頂點的最短路徑
104-
* [Prim’s 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/prim) - finding Minimum Spanning Tree (MST) for weighted undirected graph
105-
* [Kruskal’s 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/kruskal) - finding Minimum Spanning Tree (MST) for weighted undirected graph
102+
* [未定背包問題](src/algorithms/sets/knapsack-problem)
103+
* [Dijkstra 演算法](src/algorithms/graph/dijkstra) - 找到所有圖頂點的最短路徑
104+
* [Prim’s 演算法](src/algorithms/graph/prim) - finding Minimum Spanning Tree (MST) for weighted undirected graph
105+
* [Kruskal’s 演算法](src/algorithms/graph/kruskal) - finding Minimum Spanning Tree (MST) for weighted undirected graph
106106
* **分治法** - divide the problem into smaller parts and then solve those parts
107-
* [二元搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/search/binary-search)
108-
* [河內塔](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/hanoi-tower)
109-
* [歐幾里得演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/euclidean-algorithm) - calculate the Greatest Common Divisor (GCD)
110-
* [排列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/permutations) (有/無重複)
111-
* [组合](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/combinations) (有/無重複)
112-
* [合併排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/merge-sort)
113-
* [快速排序](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sorting/quick-sort)
114-
* [樹深度優先搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/tree/depth-first-search) (DFS)
115-
* [圖深度優先搜尋](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/depth-first-search) (DFS)
107+
* [二元搜尋](src/algorithms/search/binary-search)
108+
* [河內塔](src/algorithms/uncategorized/hanoi-tower)
109+
* [歐幾里得演算法](src/algorithms/math/euclidean-algorithm) - calculate the Greatest Common Divisor (GCD)
110+
* [排列](src/algorithms/sets/permutations) (有/無重複)
111+
* [组合](src/algorithms/sets/combinations) (有/無重複)
112+
* [合併排序](src/algorithms/sorting/merge-sort)
113+
* [快速排序](src/algorithms/sorting/quick-sort)
114+
* [樹深度優先搜尋](src/algorithms/tree/depth-first-search) (DFS)
115+
* [圖深度優先搜尋](src/algorithms/graph/depth-first-search) (DFS)
116116
* **動態編程** - build up to a solution using previously found sub-solutions
117-
* [費伯納西數列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/fibonacci)
118-
* [萊溫斯坦距離](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/levenshtein-distance) - minimum edit distance between two sequences
119-
* [最長共同子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-common-subsequnce) (LCS)
120-
* [最長共同子字串](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/longest-common-substring)
121-
* [最長遞增子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/longest-increasing-subsequence)
122-
* [最短共同子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/shortest-common-supersequence)
123-
* [0/1背包問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/knapsack-problem)
124-
* [整數拆分](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/math/integer-partition)
125-
* [最大子序列](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/sets/maximum-subarray)
126-
* [Bellman-Ford 演算法](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/bellman-ford) - finding shortest path to all graph vertices
117+
* [費伯納西數列](src/algorithms/math/fibonacci)
118+
* [萊溫斯坦距離](src/algorithms/string/levenshtein-distance) - minimum edit distance between two sequences
119+
* [最長共同子序列](src/algorithms/sets/longest-common-subsequnce) (LCS)
120+
* [最長共同子字串](src/algorithms/string/longest-common-substring)
121+
* [最長遞增子序列](src/algorithms/sets/longest-increasing-subsequence)
122+
* [最短共同子序列](src/algorithms/sets/shortest-common-supersequence)
123+
* [0/1背包問題](src/algorithms/sets/knapsack-problem)
124+
* [整數拆分](src/algorithms/math/integer-partition)
125+
* [最大子序列](src/algorithms/sets/maximum-subarray)
126+
* [Bellman-Ford 演算法](src/algorithms/graph/bellman-ford) - finding shortest path to all graph vertices
127127
* **回溯法** - 用類似暴力法來嘗試產生所有可能解,但每次只在能滿足所有測試條件,且只有繼續產生子序列方案來產生的解決方案。否則回溯並尋找不同路徑的解決方案。
128-
* [漢彌爾頓迴路](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/graph/hamiltonian-cycle) - Visit every vertex exactly once
129-
* [N-皇后問題](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/n-queens)
130-
* [騎士走棋盤](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/uncategorized/knight-tour)
128+
* [漢彌爾頓迴路](src/algorithms/graph/hamiltonian-cycle) - Visit every vertex exactly once
129+
* [N-皇后問題](src/algorithms/uncategorized/n-queens)
130+
* [騎士走棋盤](src/algorithms/uncategorized/knight-tour)
131131
* **Branch & Bound**
132132

133133
## 如何使用本知識庫

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