bzoj1654 [Usaco2006 Jan]The Cow Prom 奶牛舞会
Description
The N (2 <= N <= 10,000) cows are so excited: it's prom night! They are dressed in their finest gowns, complete with corsages and new shoes. They know that tonight they will each try to perform the Round Dance. Only cows can perform the Round Dance which requires a set of ropes and a circular stock tank. To begin, the cows line up around a circular stock tank and number themselves in clockwise order consecutively from 1..N. Each cow faces the tank so she can see the other dancers. They then acquire a total of M (2 <= M <= 50,000) ropes all of which are distributed to the cows who hold them in their hooves. Each cow hopes to be given one or more ropes to hold in both her left and right hooves; some cows might be disappointed. For the Round Dance to succeed for any given cow (say, Bessie), the ropes that she holds must be configured just right. To know if Bessie's dance is successful, one must examine the set of cows holding the other ends of her ropes (if she has any), along with the cows holding the other ends of any ropes they hold, etc. When Bessie dances clockwise around the tank, she must instantly pull all the other cows in her group around clockwise, too. Likewise, if she dances the other way, she must instantly pull the entire group counterclockwise (anti-clockwise in British English). Of course, if the ropes are not properly distributed then a set of cows might not form a proper dance group and thus can not succeed at the Round Dance. One way this happens is when only one rope connects two cows. One cow could pull the other in one direction, but could not pull the other direction (since pushing ropes is well-known to be fruitless). Note that the cows must Dance in lock-step: a dangling cow (perhaps with just one rope) that is eventually pulled along disqualifies a group from properly performing the Round Dance since she is not immediately pulled into lockstep with the rest. Given the ropes and their distribution to cows, how many groups of cows can properly perform the Round Dance? Note that a set of ropes and cows might wrap many times around the stock tank.
Input
* Line 1: Two space-separated integers: N and M
* Lines 2..M+1: Each line contains two space-separated integers A and B that describe a rope from cow A to cow B in the clockwise direction.
Output
* Line 1: A single line with a single integer that is the number of groups successfully dancing the Round Dance.
Sample Input
2 4
3 5
1 2
4 1
INPUT DETAILS:
ASCII art for Round Dancing is challenging. Nevertheless, here is a
representation of the cows around the stock tank:
_1___
/**** \
5 /****** 2
/ /**TANK**|
\ \********/
\ \******/ 3
\ 4____/ /
\_______/
Sample Output
HINT
1,2,4这三只奶牛同属一个成功跳了圆舞的组合.而3,5两只奶牛没有跳成功的圆舞
我又在刷水了……这几天好颓啊
题意就是缩点之后统计包含2个以上点的强连通分量的个数
这题可以当模板吧……
#include<cstdio>
#include<iostream>
#include<cstring>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<queue>
#include<deque>
#include<set>
#include<map>
#include<ctime>
#define LL long long
#define inf 0x7ffffff
#define pa pair<int,int>
#define pi 3.1415926535897932384626433832795028841971
#define N 10010
#define M 50010
using namespace std;
int n,m,cnt;
struct edge{
int to,next;
}e[M];
int head[N];
inline void ins(int u,int v)
{
e[++cnt].to=v;
e[cnt].next=head[u];
head[u]=cnt;
}
int cnt2,cnt3;
int dfn[N],low[N];
int belong[N],size[N];
int zhan[N],top;bool inset[N];
inline void dfs(int x)
{
zhan[++top]=x;inset[x]=1;
low[x]=dfn[x]=++cnt2;
for (int i=head[x];i;i=e[i].next)
{
if(!dfn[e[i].to])
{
dfs(e[i].to);
low[x]=min(low[x],low[e[i].to]);
}else if(inset[e[i].to])
low[x]=min(low[x],dfn[e[i].to]);
}
if (dfn[x]==low[x])
{
cnt3++;
int p=-1;
while (p!=x)
{
p=zhan[top--];
inset[p]=0;
belong[p]=cnt3;
size[cnt3]++;
}
}
}
inline void tarjan()
{
for (int i=1;i<=n;i++)
if (!dfn[i])dfs(i);
}
inline LL read()
{
LL x=0,f=1;char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
return x*f;
}
int main()
{
n=read();m=read();
for (int i=1;i<=m;i++)
{
int x=read(),y=read();
ins(y,x);
}
tarjan();
int tot=0;
for(int i=1;i<=cnt3;i++)
tot+=(size[i]>1);
printf("%d\n",tot);
return 0;
}
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