標籤:
大意:給定M條邊,問有有多少邊是不在環上(或環內)的,有多少邊是有衝突的(什麼是衝突?即在一個環內有多條邊將環分割開,即這樣的邊+上環上邊的總數)
思路:求橋的個數比較容易處理,直接(low[v]>dfn[u]即可)主要是怎麼找衝突邊,我們知道他們一定在一個聯通分量內,所以我們將求出的 一組聯通分量拿出來,進行遍曆看是否所有的連的邊在當前的棧中,在的話邊數++,因為是無向圖,所以最後要除二與聯通分量的點相比較即可。
前向星:
#include<map>#include<queue>#include<cmath>#include<cstdio>#include<stack>#include<iostream>#include<cstring>#include<algorithm>#define LL int#define inf 0x3f3f3f3f#define eps 1e-8#include<vector>#define ls l,mid,rt<<1#define rs mid+1,r,rt<<1|1using namespace std;const int Ma = 21000;struct node{ int to,next;}q[Ma*10];//注意看題目邊的數目*2int head[Ma*10],dfn[Ma],num[Ma],stk[Ma],du[Ma],low[Ma];int cnt,top,tim,scc,sum,n,tmp[Ma],S,CNT,ans;bool vis[Ma],bj[Ma];void Add(int a,int b){ q[cnt].to = b; q[cnt].next = head[a]; head[a] = cnt++;}void init(){ ans = CNT = scc = cnt = top = 0; tim = 1; memset(head,-1,sizeof(head)); for(int i = 0;i < n;++ i){ num[i] = low[i] = dfn[i] = 0; du[i] = vis[i] = 0; }}void Judge(){ int E = 0; for(int i = 0;i < S;++ i){ int u = tmp[i]; for(int j = head[u];~j;j=q[j].next){ int v = q[j].to; if( bj[v] ){ E++; } } } E /= 2; if(E > S) CNT += E;}void Tarjan(int u,int To){ low[u] = dfn[u] = tim++; vis[u] = true; stk[top++] = u; for(int i = head[u]; ~i ; i = q[i].next){ int v = q[i].to; if(i == (To^1)) continue; if(!vis[v]){ Tarjan(v,i); low[u] = min(low[u],low[v]); if(low[v]>dfn[u]) ans++; if(low[v] >= dfn[u]){ memset(bj,false,sizeof(bj)); S = 0; stk[top] = -1; tmp[S++] = u;bj[u] = true; while(stk[top] != v){ int now = stk[--top]; tmp[S++] = now; bj[now] = true; } Judge(); } } else low[u] = min(low[u],dfn[v]); }}int main(){ int m,i,j,k,a,b; while(~scanf("%d%d",&n,&m)){ if(!n&&!m) break; init(); for(i = 0;i < m;++ i){ scanf("%d%d",&a,&b); Add(a,b);Add(b,a); } for(i = 0;i < n;++ i) if(!dfn[i]) Tarjan(i,-1); printf("%d %d\n",ans,CNT); } return 0;}
HDU 3394 Railway (點雙聯通+圈內判邊數)