POJ-1236 Network of schools (strongly connected components)

Source: Internet
Author: User

The main problem: There are n points, then give the n points can be connected points.
Question 1: If you want to pass a message to these n points, at least the number of points that need to be passed, and then let these points propagate, so that n points all get information
Question 2: How many edges need to be added to make the N points 22 connected

Problem-solving ideas: Find out all the strong connected components, and then the contraction point, and then the bridge as the path, building the map
Find out that the entry in this figure is 0, because only 0 of the entry is required for notification, and other points can be conveyed through other edges.

How many points need to be added, observe this graph, find out the degrees and degrees of each point, take Max (number of points with zero degrees, number of points with a degree of 0)

Note that when there are only 1 strong connected components,

#include <cstdio>#include <cstring>#define min (a) (a) < (b)? (a): (b))#define Max (a) > (b)? (a): (b))#define N#define M 10010structedge{int  from, to, next;} E[M];intHead[n], Sccno[n], stack[n], pre[n], Lowlink[n],inch[N], out[N];intN, tot, Dfs_clock, scc_cnt, top;voidAddedge (intUintV) {E[tot]. from= u;    E[tot].to = v;    E[tot].next = Head[u]; Head[u] = tot++;}voidInit () {memset (head,-1,sizeof(head)); tot =0;intV for(intU =1; U <= N; u++) { while(SCANF ("%d", &v) && v) addedge (U, v); }}voidDfsintu) {pre[u] = lowlink[u] = ++dfs_clock; Stack[++top] = u;intV for(inti = Head[u]; I! =-1; i = e[i].next) {v = e[i].to;if(!pre[v])            {DFS (v);        Lowlink[u] = min (Lowlink[u], lowlink[v]); }Else if(!sccno[v])        {Lowlink[u] = min (Lowlink[u], pre[v]); }    }if(Pre[u] = = Lowlink[u]) {scc_cnt++; while(1) {v = stack[top--]; SCCNO[V] = scc_cnt;if(U = = v) Break; }    }}voidSolve () {memset (PRE,0,sizeof(pre)); memset (Sccno,0,sizeof(SCCNO)); Dfs_clock = top = SCC_CNT =0; for(inti =1; I <= N; i++)if(!pre[i]) DFS (i);if(scc_cnt = =1) {printf ("1\n0\n");return; } for(inti =1; I <= scc_cnt; i++)inch[I] = out[I] =1;intU, v; for(inti =0; i < tot; i++) {u = sccno[e[i]. from]; v = sccno[e[i].to];if(U! = V) out[U] =inch[V] =0; }intANS1 =0, In_num =0, Out_num =0; for(inti =1; I <= scc_cnt; i++) {if(inch[i]) in_num++;if( out[i]) out_num++; } printf ("%d\n%d\n", In_num, Max (In_num, Out_num));}intMain () { while(SCANF ("%d", &n)! = EOF) {init ();    Solve (); }return 0;}

Copyright NOTICE: This article for Bo Master original article, without Bo Master permission not reproduced.

POJ-1236 Network of schools (strongly connected components)

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.