实例介绍
【实例简介】
ICPC,大学生ACM竞赛经典模板
【实例截图】备战ACM
【核心代码】
1、 几何.........................................................................................................................19 1.1 注意.................................................................................................................19 1.2 几何公式.........................................................................................................19 1.3 多边形.............................................................................................................21 1.4 多边形切割.....................................................................................................24 1.5 浮点函数.........................................................................................................25 1.6 面积.................................................................................................................30 1.7 球面.................................................................................................................31 1.8 三角形.............................................................................................................32 1.9 三维几何.........................................................................................................34 1.10 凸包.................................................................................................................41 1.11 网格.................................................................................................................43 1.12 圆.....................................................................................................................43 1.13 整数函数.........................................................................................................45 2、 组合.........................................................................................................................48 2.1 组合公式..................................................................................................................48 2.2 排列组合生成..........................................................................................................48 2.3 生成 gray 码.............................................................................................................50 2.4 置换(polya)..............................................................................................................50 2.5 字典序全排列..........................................................................................................51 2.6 字典序组合513 、 结 构 .........................................................................................................................................52 3.1 并查集......................................................................................................................52 3.2 堆..............................................................................................................................53 3.3 线段树......................................................................................................................54 3.4 子段和......................................................................................................................59 3.5 子阵和594 、 数 论 .........................................................................................................................................60 4.1 阶乘最后非 0 位......................................................................................................60 4.2 模线性方程组..........................................................................................................61 4.3 素数..........................................................................................................................62 4.4 欧拉函数635 、 数值计算 .........................................................................................................................................64 5.1 定积分计算(Romberg) ............................................................................................64 5.2 多项式求根(牛顿法)...............................................................................................66 5.3 周期性方程(追赶法)676 、 图 论 — NP 搜 索 .........................................................................................................................................68 6.1 最大团......................................................................................................................68 6.2 最大团(n<64)(faster)697 、 图 论 — 连通性 .........................................................................................................................................71 7.1 无向图关键点(dfs 邻接阵) .....................................................................................71 7.2 无向图关键边(dfs 邻接阵) .....................................................................................72 7.3 无向图的块(bfs 邻接阵) .........................................................................................73 7.4 无向图连通分支(dfs/bfs 邻接阵) ...........................................................................74 7.5 有向图强连通分支(dfs/bfs 邻接阵) .......................................................................75 7.6 有向图最小点基(邻接阵)768 、 图 论 — 匹 配 .........................................................................................................................................77 8.1 二分图最大匹配(hungary 邻接表).........................................................................77 8.2 二分图最大匹配(hungary 邻接阵).........................................................................78 8.3 二分图最大匹配(hungary 正向表).........................................................................78 8.4 二分图最佳匹配(kuhn_munkras 邻接阵) ...............................................................79 8.5 一般图匹配(邻接表)...............................................................................................80 4 8.6 一般图匹配(邻接阵)...............................................................................................81 8.7 一般图匹配(正向表)819 、 图 论 — 网络流 .........................................................................................................................................82 9.1 最大流(邻接阵).......................................................................................................82 9.2 上下界最大流(邻接阵)...........................................................................................83 9.3 上下界最小流(邻接阵)...........................................................................................84 9.4 最大流无流量(邻接阵)...........................................................................................85 9.5 最小费用最大流(邻接阵).......................................................................................85 10、 图论—应用.............................................................................................................86 10.1 欧拉回路(邻接阵).........................................................................................................86 10.2 树的前序表转化............................................................................................................87 10.3 树的优化算法................................................................................................................88 10.4 拓扑排序(邻接阵).........................................................................................................89 10.5 最佳边割集....................................................................................................................90 10.6 最佳点割集....................................................................................................................91 10.7 最小边割集....................................................................................................................92 10.8 最小点割集....................................................................................................................93 10.9 最小路径覆盖................................................................................................................95 11、 图论—支撑树.........................................................................................................95 11.1 最小生成树(kruskal 邻接表).................................................................................95 11.2 最小生成树(kruskal 正向表).................................................................................97 11.3 最小生成树(prim binary_heap 邻接表)...............................................................98 11.4 最小生成树(prim binary_heap 正向表)...............................................................99 11.5 最小生成树(prim mapped_heap 邻接表) ..........................................................100 11.6 最小生成树(prim mapped_heap 正向表) ..........................................................102 11.7 最小生成树(prim 邻接阵)...................................................................................103 11.8 最小树形图(邻接阵) ...........................................................................................103 16 12、 图论—最短路径...................................................................................................105 12.1 最短路径(单源 bellman_ford 邻接阵)................................................................105 12.2 最短路径(单源 dijkstra bfs 邻接表)..................................................................105 12.3 最短路径(单源 dijkstra bfs 正向表)..................................................................106 12.4 最短路径(单源 dijkstra binary_heap 邻接表) ...................................................107 12.5 最短路径(单源 dijkstra binary_heap 正向表) ...................................................108 12.6 最短路径(单源 dijkstra mapped_heap 邻接表).................................................109 12.7 最短路径(单源 dijkstra mapped_heap 正向表).................................................110 12.8 最短路径(单源 dijkstra 邻接阵)......................................................................... 111 12.9 最短路径(多源 floyd_warshall 邻接阵) .............................................................112 17 13、 应用.......................................................................................................................112 13.1 Joseph 问题...........................................................................................................112 13.2 N 皇后构造解.......................................................................................................113 13.3 布尔母函数..........................................................................................................114 13.4 第 k 元素..............................................................................................................114 13.5 幻方构造..............................................................................................................115 13.6 模式匹配(kmp)....................................................................................................116 13.7 逆序对数..............................................................................................................117 13.8 字符串最小表示..................................................................................................117 13.9 最长公共单调子序列..........................................................................................118 13.10 最长子序列........................................................................................................119 13.11 最大子串匹配....................................................................................................120 13.12 最大子段和........................................................................................................121 13.13 最大子阵和........................................................................................................121 18
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