Hello everyone! I am your old friend Rikka. Welcome to Xuzhou. This is the first problem, which is a problem about the minimum spanning tree (MST). I promise you all that this should be the easiest problemeasiest problem for most people. A minimum sp…

Kruskal’s algorithm always union the lightest link if two sets haven't been linked typedef struct { char vertex[VertexNum]; //顶点表 int edges[VertexNum][VertexNum]; //邻接矩阵,可看做边表 int n,e; //图中当前的顶点数和边数 }MGraph; typedef struct node { int u; //边的起始顶点 int…

题意 \(T\) 组数据,每组数据给定一个 \(n\) 个点,\(m\) 条边,可能含有重边自环的图,求出最小生成树的个数与边权和的乘积,对 \(10^9+7\) 取模. \(\texttt{Data Range:}T\leq 100,2\leq n\leq 10^5,m=10^5\) 题解 大家好,这题充分展现了我就是个 sb. 一见数据随机,立刻想到相同边权的边很少,立刻想到矩阵大小很小,立刻想到最小生成树计数,立刻想到 Matrix-Tree 定理.某些 Karry5307 的想像惟在这一…

Problem Description XXX is very interested in algorithm. After learning the Prim algorithm and Kruskal algorithm of minimum spanning tree, XXX finds that there might be multiple solutions. Given an undirected weighted graph with n (1<=n<=100) vertex…

Minimum Spanning Tree Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) [Problem Description] XXX is very interested in algorithm. After learning the Prim algorithm and Kruskal algorithm of minimum spanning tree, XXX…

Problem Description XXX is very interested in algorithm. After learning the Prim algorithm and Kruskal algorithm of minimum spanning tree, XXX finds that there might be multiple solutions. Given an undirected weighted graph with n (1<=n<=100) vertex…

You may refer to the main idea of MST in graph theory. http://en.wikipedia.org/wiki/Minimum_spanning_tree Here is my own interpretation What is Minimum Spanning Tree? Given a connected and undirected graph, a spanning tree of that graph is a subgraph…

For a undirected graph with tree characteristics, we can choose any node as the root. The result graph is then a rooted tree. Among all possible rooted trees, those with minimum height are called minimum height trees (MHTs). Given such a graph, write…

给定一个无向图,如果他的某个子图中,任意两个顶点都能互相连通并且是一棵树,那么这棵树就叫做生成树(spanning tree). 如果边上有权值,那么使得边权和最小的生成树叫做最小生成树(MST,Minimum Spanning Tree).       1.prim版本的算法   .csharpcode, .csharpcode pre { font-size: small; color: black; font-family: consolas, "Courier New", co…

For a undirected graph with tree characteristics, we can choose any node as the root. The result graph is then a rooted tree. Among all possible rooted trees, those with minimum height are called minimum height trees (MHTs). Given such a graph, write…