《挑战算法之路》目录页

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挑战算法之路

Way to Algorithm

西安交通大学计算机系 林荣彬

目录页

第2版声明 .......................................................................................................................................

第2版序言 ........................................................................................................................................

阅读方法 .........................................................................................................................................

通用头文件 general_head.h .............................................................................................................

1.排序 Sort ....................................................................................................................................

               (1)插入排序 insert_sort.cpp ...............................................................................................

               (2)冒泡排序 bubble_sort.cpp ...........................................................................................

               (3)快速排序 quick_sort.cpp ...............................................................................................

               (4)二分查找法 binary_search.cpp ......................................................................................

               (5)测试用例 test.cpp ..........................................................................................................

2.搜索 Search .........................................................................................................................

               (0)搜索头文件 search.h .....................................................................................................

               (1)暴力枚举 brute_force.cpp ..............................................................................................

               (2)深度优先搜索 depth_first_search.cpp ............................................................................

               (3)广度优先搜索 breadth_first_search.cpp ........................................................................

               (4)双向广度搜索 bidirection_breadth_search.cpp .............................................................

               (5)A*启发式搜索 a_heuristic_search.cpp ...........................................................................

               (6)高级搜索算法介绍 advanced_search_algorithm_introduction.cpp .................................

               (7)测试用例 test.cpp ..........................................................................................................

3.数据结构 Data Structure ................................................................................................................

               (0)数据结构头文件 data_structure.h .................................................................................

               (1)经典数据结构介绍 classic_data_structure_introduction.cpp ...........................................

               (2)哈希表 hash_table.cpp ...................................................................................................

               (3)线段树 segment_tree.cpp ...............................................................................................

               (4)树状数组 binary_index_tree.cpp .....................................................................................

               (5)并查集 disjoint_set.cpp ...................................................................................................

               (6)左偏树 leftist_tree.cpp ....................................................................................................

               (7)后缀树 suffix_tree.cpp ....................................................................................................

               (8)测试用例 test.cpp ............................................................................................................

4.动态规划 Dynamic Programming ....................................................................................................

              (1)动态规划介绍 dynamic_programming_introduction.cpp ...................................................

              (2)动态规划优化 dynamic_programming_optimization.cpp ....................................................

        4.1线性动态规划 Linear Dynamic ................................................................................................

              (1)最长公共子序列 longest_common_subsequence.cpp ......................................................

              (2)最长递增子序列 longest_increasing_subsequence.cpp ...................................................

              (3)最长递增子序列扩展 longest_increasing_subsequence_extension.cpp ...........................

              (4)双向子序列 bidirection_subsequence.cpp .......................................................................

              (5)测试用例 test.cpp ............................................................................................................

        4.2背包问题 Pack ...............................................................................................................

              (0)背包头文件 pack.h ...................................................................................................

              (1)01背包 _01_pack.cpp ..............................................................................................

              (2)01背包路径 _01_pack_path.cpp ................................................................................

              (3)完全背包 complete_pack.cpp ..................................................................................

              (4)多重背包 multiple_pack.cpp ....................................................................................

              (5)二维背包 two_dimension_pack.cpp .........................................................................

              (6)分组背包 packet_pack.cpp .......................................................................................

              (7)泛化物品 generic_item.cpp ..............................................................................................

              (8)依赖背包 dependent_pack.cpp .................................................................................

              (9)测试用例 test.cpp .............................................................................................................

        4.3区域动态规划 Region Dynamic .............................................................................................

              (1)最小合并代价 minimum_merge_cost.cpp .......................................................................

              (2)最小合并扩展 minimum_merge_extension.cpp .....................................................................

              (3)最大二叉树合并 maximum_binary_tree_merge.cpp .........................................................

              (4)测试用例 test.cpp ............................................................................................................

        4.4树形动态规划 Tree Dynamic ..................................................................................................

              (0)树形动规头文件 tree_dynamic.h ......................................................................................

              (1)二叉树动规 binary_tree.cpp ............................................................................................

              (2)多叉树动规 multi_tree.cpp ..............................................................................................

              (3)多叉树转二叉树动规 multi2binary.cpp .............................................................................

              (4)多叉树动规路径 multi_tree_path.cpp ..............................................................................

              (5)带环多叉树动规 loop_tree.cpp ........................................................................................

              (6)遍历树 traverse_tree.cpp ...............................................................................................

              (7)测试用例 test.cpp ...........................................................................................................

5.图论 Graph Theory ........................................................................................................................

              (0)图论头文件 graph.h .........................................................................................................

        5.1遍历 Traverse .......................................................................................................................

              (1)遍历树 traverse_tree.cpp .................................................................................................

              (2)深度优先搜索邻接表 depth_first_search_adjlist.cpp ........................................................

              (3)广度优先搜索邻接表 breadth_first_search_adjlist.cpp .....................................................

              (4)拓扑排序 topological_sort.cpp .........................................................................................

              (5)欧拉回路 euler_loop.cpp ..................................................................................................

              (6)汉密尔顿回路 hamilton_loop.cpp ......................................................................................

              (7)Kosaraju算法 kosaraju.cpp ..............................................................................................

              (8)2-SAT问题 _2_satisfiability.cpp .........................................................................................

              (9)测试用例 test.cpp ..............................................................................................................

        5.2Tarjan算法 Tarjan ...................................................................................................................

              (1)强连通分支 strongest_connected_component.cpp ...........................................................

              (2)Gabow算法 gabow.cpp .....................................................................................................

              (3)割 cut.cpp .........................................................................................................................

              (4)双连通分支 double_connected_component.cpp ...............................................................

              (5)最近公共祖先 least_common_ancestors.cpp ...................................................................

              (6)区间最值查询 range_most_query.cpp ...............................................................................

              (7)测试用例 test.cpp ............................................................................................................

        5.3最小生成树 Minimum Spanning Tree .....................................................................................

              (1)Kruskal算法 kruskal.cpp ....................................................................................................

              (2)Prim算法 prim.cpp .............................................................................................................

              (3)次小生成树 second_minimum_spanning_tree.cpp .............................................................

              (4)度限制生成树 degree_bounded_spanning_tree.cpp .........................................................

              (5)最优比率生成树 optimal_ratio_spanning_tree.cpp ............................................................

              (6)测试用例 test.cpp ...............................................................................................................

        5.4最短路径 Shortest Path ...........................................................................................................

              (1)松弛操作 relaxation.cpp .....................................................................................................

              (2)Bellman-Ford算法 bellman_ford.cpp .................................................................................

              (3)最短路径更快算法 spfa.cpp ...............................................................................................

              (4)Dijkstra算法 dijkstra.cpp ....................................................................................................

              (5)Floyd算法 floyd.cpp ..........................................................................................................

              (6)差分约束 difference_constraints.cpp .................................................................................

              (7)测试用例 test.cpp ..............................................................................................................

        5.5流网络 Flow Network ...............................................................................................................

              (1)Edmonds-Karp算法 edmonds_karp.cpp ............................................................................

              (2)一般性压入与重标记 generic_push_relabel.cpp ................................................................

              (3)Dinic算法 dinic.cpp .............................................................................................................

              (4)距离标号算法 distance_label.cpp .......................................................................................

              (5)重标记与前移算法 relabel_to_front.cpp .............................................................................

              (6)最高标号预留与推进算法 highest_label_preflow_push.cpp ..............................................

              (7)距离标号算法邻接表优化 distance_label_list.cpp ..............................................................

              (8)最大流算法小结 summary_of_maxflow_algorithm.cpp ......................................................

              (9)最小费用最大流 minimum_cost_max_flow.cpp .................................................................

              (10)多源点多汇点最大流 multi_source_sink_max_flow.cpp .....................................................

              (11)连通度 connectiviry.cpp ..............................................................................................

              (12)无源汇容量有上下界的流网络 no_source_sink_bounded_flow.cpp ...................................

              (13)有源汇容量有上下界的最大流 bounded_max_flow.cpp ...................................................

              (14)有源汇容量有上下界的最小流 bounded_min_flow.cpp .....................................................

              (15)测试用例 test.cpp .........................................................................................................

              (16)附录1 POJ_1087_A_Plug_for_UNIX1.cpp ......................................................................

              (17)附录2 POJ_1087_A_Plug_for_UNIX2.cpp ......................................................................

        5.6二分匹配 Binary Match ........................................................................................................

              (1)匈牙利算法 hungarian.cpp ..............................................................................................

              (2)Hopcroft-Karp算法 hopcroft_karp.cpp ............................................................................

              (3)二分匹配转最大流 match2maxflow.cpp ............................................................................

              (4)Kuhn-Munkres算法 kuhn_munkres.cpp ..........................................................................

              (5)支配集，独立集，覆盖集与团介绍 domination_independent_covering_clique_introduction.cpp...

              (6)最小点权覆盖和最大点权独立集 weighted_covering_independent_set.cpp .............................

              (7)最小不相交路径覆盖 minimum_disjoint_path_covering.cpp ................................................

              (8)最小可相交路径覆盖 minimum_joint_path_covering.cpp ....................................................     

              (9)染色问题 coloring.cpp ...................................................................................................

              (10)测试用例 test.cpp .............................................................................................................

6.线性代数 Linear Algebra ...................................................................................................................

              (0)矩阵头文件 matrix.h .........................................................................................................

        6.1矩阵 Matrix ..............................................................................................................................

              (1)Strassen算法 strassen.cpp ................................................................................................

              (2)高斯消元法 gauss_elimination.cpp .....................................................................................

              (3)LUP分解 lup.cpp ................................................................................................................

              (4)逆矩阵 inverse_matrix.cpp .................................................................................................

              (5)测试用例 test.cpp ..............................................................................................................

        6.2线性规划 Linear Programming .............................................................................................

              (1)单纯形算法 simplex.cpp ..................................................................................................

              (2)Dinkelback算法 dinkelback.cpp ......................................................................................

              (3)测试用例 test.cpp ..............................................................................................................

7.数学 Math .........................................................................................................................................

        7.1计算 Calculate .......................................................................................................................

              (1)大数字 large.hpp ..............................................................................................................

              (2)十进制转换 decimal_conversion.cpp ................................................................................

              (3)求幂运算 exponentiation.cpp ............................................................................................

              (4)测试用例 test.cpp .............................................................................................................

        7.2组合数学 Combinatorial Mathematics ....................................................................................

              (1)组合数学介绍 combinatorial_mathematics_introduction.cpp ............................................

              (2)全排列 full_permutation.cpp .............................................................................................

              (3)组合 combination.cpp .......................................................................................................

              (4)置换群 permutation_group.cpp ........................................................................................

              (5)测试用例 test.cpp ............................................................................................................

        7.3数论 Number Theory .............................................................................................................

              (1)筛选法 sieve.cpp ..............................................................................................................

              (2)Euclid算法 euclid.cpp ........................................................................................................

              (3)Euclid扩展 euclid_extension.cpp .......................................................................................

              (4)模线性方程 modular_linear_equation.cpp ........................................................................

              (5)中国剩余定理 chinese_remainer_theorem.cpp ...............................................................

              (6)模幂运算 modular_exponentiation.cpp ............................................................................

              (7)测试用例 test.cpp ...........................................................................................................

8.解析几何 Analytic Geometry ...........................................................................................................

              (0)几何头文件 geometry.h ...................................................................................................

         8.1向量 Vector ..........................................................................................................................

              (1)叉积 cross.cpp .......................................................................................................

              (2)线段相交 segments_intersection.cpp ..............................................................................

              (3)扫除算法 sweeping.cpp ......................................................................................................

              (4)测试用例 test.cpp ............................................................................................................

          8.2多边形 Polygon ..................................................................................................................

              (1)多边形面积 polygon_area.cpp .........................................................................................

              (2)多边形重心 polygon_gravity_center.cpp ..........................................................................

              (3)射线判别法 ray.cpp ..........................................................................................................

              (4)旋转卡壳 rotating_calipers.cpp ........................................................................................

              (5)测试用例 test.cpp ............................................................................................................

          8.3凸包 Convex Hull ................................................................................................................

              (1)最近点对 nearest_neighbor.cpp .....................................................................................

              (2)Graham扫描算法 graham_scan.cpp ..............................................................................

              (3)快速凸包算法 quick_convex_hull.cpp .................................................................................

              (4)测试用例 test.cpp ..........................................................................................................

9.字符串匹配 String ..........................................................................................................................

              (1)原始字符串匹配 naive_string_match.cpp ........................................................................

              (2)KMP算法 knuth_morris_pratt.cpp ...................................................................................

              (3)字典树 trie_tree.hpp .......................................................................................................

              (4)AC自动机 aho_corasick_automation.hpp .......................................................................

              (5)测试用例 test.cpp ............................................................................................................

10.博弈论 Game Theory .....................................................................................................................

              (1)巴什博弈 bash_game.cpp ..............................................................................................

              (2)威佐夫博弈 wythoff_game.cpp .......................................................................................

              (3)尼姆博弈 nim_game.cpp ...............................................................................................

              (4)SG函数 sprague_grundy.cpp ..........................................................................................

              (5)测试用例 test.cpp ............................................................................................................