{"id":193,"date":"2010-03-27T16:02:00","date_gmt":"2010-03-27T08:02:00","guid":{"rendered":"http:\/\/localhost\/?p=193"},"modified":"2010-03-27T16:02:00","modified_gmt":"2010-03-27T08:02:00","slug":"jsoi2010_feast","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=193","title":{"rendered":"[JSOI2010]\u6ee1\u6c49\u5168\u5e2d"},"content":{"rendered":"\n

[JSOI2010]\u6ee1\u6c49\u5168\u5e2d<\/p>\n

Time Limit:10000MS  Memory Limit:65536K
Total Submit:34 Accepted:21
Case Time Limit:1000MS<\/p>\n

Description <\/strong><\/p>\n

\u6ee1\u6c49\u5168\u5e2d\u662f\u4e2d\u56fd\u6700\u4e30\u76db\u7684\u5bb4\u5ba2\u83dc\u80b4\uff0c\u6709\u8bb8\u591a\u79cd不\u540c\u7684\u6750料\u900f\u8fc7\u6ee1\u65cf\u6216\u662f\u6c49\u65cf\u7684料理\u65b9\u5f0f\uff0c\u5448\u73b0\u5728數量\u7e41\u591a\u7684\u83dc\u8272\u4e4b\u4e2d\u3002\u7531\u4e8e\u83dc\u8272\u4f17\u591a\u800c\u7e41\u6742\uff0c\u53ea\u6709\u6781\u5c11數\u535a\u5b66\u591a\u95fb\u6280 \u827a\u9ad8\u8d85\u7684\u53a8\u5e08\u80fd\u591f\u505a\u51fa\u6ee1\u6c49\u5168\u5e2d\uff0c\u800c\u80fd\u591f\u70f9\u996a\u51fa\u7ecf\u8fc7\u4e13\u5bb6\u8ba4\u8bc1\u7684\u6ee1\u6c49\u5168\u5e2d\uff0c\u4e5f\u662f\u4e2d\u56fd\u53a8\u5e08\u6700\u5927\u7684\u8363\u8a89\u4e4b\u4e00\u3002
\u4e16\u754c\u6ee1\u6c49\u5168\u5e2d\u534f\u4f1a\u662f\u7531\u80fd\u591f料理\u6ee1\u6c49\u5168\u5e2d\u7684\u4e13\u5bb6\u53a8\u5e08\u4eec\u6240\u7ec4\u6210\uff0c\u800c\u4ed6\u4eec\u4e4b\u95f4\u8fd8\u7ec6\u5206\u4e3a\u8bb8\u591a不\u540c\u7b49\u7ea7\u7684\u53a8\u5e08\u3002\u4e3a了\u62db\u6536\u65b0\u8fdb\u7684\u53a8\u5e08\u8fdb\u5165\u4e16\u754c\u6ee1\u6c49\u5168\u5e2d\u534f\u4f1a\uff0c\u5c06 \u4e8e\u8fd1\u65e5\u4e3e\u529e\u6ee1\u6c49\u5168\u5e2d\u5927\u8d5b\uff0c\u534f\u4f1a\u6d3e\u9063\u8bb8\u591a\u4f1a\u5458\u5f53\u4f5c\u8bc4\u5ba1\u5458\uff0c\u4e3a\u7684\u5c31\u662f\u8981\u5728參\u8d5b\u7684\u53a8\u5e08\u4e4b\u4e2d\uff0c\u627e\u5230\u6ee1\u6c49料理\u754c\u7684\u660e\u65e5\u4e4b\u661f\u3002
\u5927\u4f1a\u7684\u89c4\u5219\u5982\u4e0b\uff1a\u6bcf\u4f4d參\u8d5b\u7684\u9009\u624b\u53ef\u4ee5\u5f97\u5230n \u79cd\u6750料\uff0c\u9009\u624b\u53ef\u4ee5\u81ea\u7531\u9009\u62e9\u7528\u6ee1\u5f0f\u6216\u662f\u6c49\u5f0f料理\u5c06\u6750料\u5f53\u6210\u83dc\u80b4\u3002\u5927\u4f1a\u7684\u8bc4\u5ba1\u5236度\u662f\uff1a\u5171\u6709m \u4f4d\u8bc4\u5ba1\u5458\u5206\u522b\u628a\u5173\u3002\u6bcf\u4e00\u4f4d\u8bc4\u5ba1\u5458\u5bf9\u4e8e\u6ee1\u6c49\u5168\u5e2d\u6709\u5404\u81ea\u72ec\u7279\u7684見\u89e3\uff0c\u4f46\u57fa\u672c\u89c1\u89e3\u662f\uff0c\u8981\u6709兩\u6837\u83dc\u8272\u4f5c\u4e3a\u6ee1\u6c49\u5168\u5e2d\u7684\u6807\u5fd7\u3002\u5982\u67d0\u8bc4\u5ba1\u8ba4\u4e3a\uff0c\u5982\u679c\u6ca1\u6709\u6c49\u5f0f\u4e1c\u5761\u8089\u8ddf\u6ee1\u5f0f \u7684\u6dae\u7f8a\u8089\u9505\uff0c\u5c31不\u80fd\u7b97\u662f\u6ee1\u6c49\u5168\u5e2d\u3002\u4f46\u907f\u514d\u8fc7\u4e8e\u6709\u4e3b見\u7684\u5ba1\u6838\uff0c\u5927\u4f1a\u89c4\u5b9a\u4e00\u4e2a\u8bc4\u5ba1\u5458\u9664\u975e\u662f\u5728\u8ba4\u4e3a\u5fc5\u5907\u7684\u4e24\u6837\u83dc\u8272\u90fd\u6ca1\u6709\u505a\u51fa來\u7684狀\u51b5\u4e0b\uff0c\u624d\u80fd\u6dd8\u6c70\u4e00\u4f4d\u9009\u624b\uff0c\u5426\u5219 不\u80fd\u6dd8\u6c70\u4e00\u4f4d參\u8d5b\u8005\u3002\u6362句\u8bdd說\uff0c\u53ea\u8981參\u8d5b\u8005\u80fd\u5728\u8fd9兩\u79cd\u6750料\u7684\u505a\u6cd5\u4e2d\uff0c\u5176\u4e2d\u4e00\u4e2a\u7b26\u5408\u8bc4\u5ba1\u7684\u559c\u597d\u5373\u53ef\u901a\u8fc7\u8be5\u8bc4\u5ba1\u7684\u5ba1\u67e5\u3002\u5982\u6750料\u6709\u732a\u8089\uff0c\u7f8a\u8089\u548c\u725b\u8089\u65f6\uff0c\u6709\u56db\u4f4d\u8bc4 \u5ba1\u5458\u7684\u559c\u597d\u5982\u4e0b\u8868\uff1a
\u8bc4\u5ba1\u4e00 \u8bc4\u5ba1\u4e8c \u8bc4\u5ba1\u4e09 \u8bc4\u5ba1\u56db
\u6ee1\u5f0f\u725b\u8089 \u6ee1\u5f0f\u732a\u8089 \u6c49\u5f0f\u725b\u8089 \u6c49\u5f0f\u725b\u8089
\u6c49\u5f0f\u732a\u8089 \u6ee1\u5f0f\u7f8a\u8089 \u6c49\u5f0f\u732a\u8089 \u6ee1\u5f0f\u7f8a\u8089
\u5982參\u8d5b\u8005\u7532\u505a\u51fa\u6ee1\u5f0f\u732a\u8089\uff0c\u6ee1\u5f0f\u7f8a\u8089\u548c\u6ee1\u5f0f\u725b\u8089料理\uff0c\u4ed6\u5c06\u65e0\u6cd5\u6ee1\u8db3\u8bc4\u5ba1\u4e09\u7684\u8981\u6c42\uff0c\u65e0\u6cd5\u901a\u8fc7\u8bc4\u5ba1\u3002\u800c參\u8d5b\u8005\u4e59\u505a\u51fa\u6c49\u5f0f\u732a\u8089\uff0c\u6ee1\u5f0f\u7f8a\u8089\u548c\u6ee1\u5f0f\u725b\u8089料理\uff0c \u5c31\u53ef\u4ee5\u6ee1\u8db3\u6240\u6709\u8bc4\u5ba1\u7684\u8981\u6c42\u3002
\u4f46\u5927\u4f1a\u540e來\u53d1\u73b0\uff0c\u5728\u8fd9\u6837\u7684\u5236度\u4e0b\u5982\u679c\u6750料\u9009\u62e9\u8ddf\u6d3e\u51fa\u7684\u8bc4\u5ba1\u5458\u6ca1\u6709\u7279\u522b\u5b89\u6392\u597d\u7684\u8bdd\uff0c\u6240\u6709\u7684參\u8d5b\u8005\u6700\u591a\u53ea\u80fd\u901a\u8fc7\u90e8\u5206\u8bc4\u5ba1\u5458\u7684\u5ba1\u67e5\u800c不\u662f\u5168\u90e8\uff0c\u6240\u4ee5\u53ef\u80fd \u4f1a\u53d1\u751f\u6ca1\u6709\u4eba\u901a\u8fc7\u8003\u6838\u7684\u60c5\u5f62\u3002\u5982\u6709\u56db\u4e2a\u8bc4\u5ba1\u5458\u559c\u597d\u5982\u4e0b\u8868\u65f6\uff0c\u5219不論參\u8d5b\u8005\u91c7\u53d6什\u4e48\u6837\u7684\u505a\u6cd5\uff0c\u90fd不\u53ef\u80fd\u901a\u8fc7\u6240\u6709\u8bc4\u5ba1\u7684\u8003\u6838\uff1a
\u8bc4\u5ba1\u4e00 \u8bc4\u5ba1\u4e8c \u8bc4\u5ba1\u4e09 \u8bc4\u5ba1\u56db
\u6ee1\u5f0f\u7f8a\u8089 \u6ee1\u5f0f\u732a\u8089 \u6c49\u5f0f\u7f8a\u8089 \u6c49\u5f0f\u7f8a\u8089
\u6c49\u5f0f\u732a\u8089 \u6ee1\u5f0f\u7f8a\u8089 \u6c49\u5f0f\u732a\u8089 \u6ee1\u5f0f\u732a\u8089
\u6240\u4ee5\u5927\u4f1a\u5e0c\u671b\u6709\u4eba\u80fd\u5199\u4e00\u4e2a\u7a0b\u5e8f來\u5224\u65ad\uff0c\u6240\u9009\u51fa\u7684m \u4f4d\u8bc4\u5ba1\uff0c\u4f1a不\u4f1a\u53d1\u751f \u6ca1\u6709\u4eba\u80fd\u901a\u8fc7\u8003\u6838\u7684\u7a98\u5883\uff0c\u4ee5便\u534f\u4f1a\u7ec4\u7ec7\u5408\u9002\u7684\u8bc4\u5ba1\u56e2\u3002 <\/p>\n

Input <\/strong><\/p>\n

\u7b2c\u4e00行\u5305\u542b\u4e00\u4e2a\u6570\u5b57 K\uff0c\u4ee3\u8868\u6d4b\u8bd5\u6587\u4ef6\u5305\u542b了K \u7ec4\u8d44料\u3002\u6bcf\u4e00\u7ec4\u6d4b\u8bd5\u8d44料\u7684\u7b2c\u4e00行\u5305\u542b兩\u4e2a\u6570\u5b57n \u8ddfm\uff08n\u2264100\uff0cm\u22641000\uff09\uff0c\u4ee3\u8868\u6709n \u79cd\u6750料\uff0cm \u4f4d\u8bc4\u5ba1\u5458\u3002\u4e3a\u65b9便\u8d77見\uff0c\u6750料\u820d\u5f03\u4e2d\u6587\u540d\u79f0\u800c\u7ed9\u4e88\u7f16\u53f7\uff0c\u7f16\u53f7\u5206\u522b\u4ece1 \u5230n\u3002\u63a5\u4e0b來\u7684m 行\uff0c\u6bcf行\u90fd\u4ee3\u8868\u5bf9\u5e94\u7684\u8bc4\u5ba1\u5458\u6240\u62e5\u6709\u7684兩\u4e2a\u559c\u597d\uff0c\u6bcf\u4e2a\u559c\u597d\u7531\u4e00\u4e2a\u82f1\u6587\u5b57\u6bcd\u8ddf\u4e00\u4e2a\u6570\u5b57\u4ee3\u8868\uff0c\u5982m1 \u4ee3\u8868\u8fd9\u4e2a\u8bc4\u5ba1\u559c\u6b22\u7b2c1 \u4e2a\u6750料\u900f\u8fc7\u6ee1\u5f0f料理\u505a\u51fa來\u7684\u83dc\uff0c\u800ch2 \u4ee3\u8868\u8fd9\u4e2a\u8bc4\u5ba1\u5458\u559c\u6b22\u7b2c2 \u4e2a\u6750料\u900f\u8fc7\u6c49\u5f0f料理\u505a\u51fa來\u7684\u83dc\u3002\u6bcf\u4e2a\u6d4b\u8bd5\u6587\u4ef6不\u4f1a\u6709\u8d85\u8fc750 \u7ec4\u6d4b\u8bd5\u8d44料\uff0c\u800c\u6bcf\u7b14\u6d4b\u8bd5\u8d44料\u4e2d\u6750料\u7684\u79cd\u7c7b\u6570\u8ddf\u8bc4\u5ba1\u5458\u7684\u4e2a\u6570\u5747不\u8d85\u8fc715\u3002 <\/p>\n

Output <\/strong><\/p>\n

\u6bcf\u7b14\u6d4b\u8bd5\u8d44料\u8f93\u51fa\u4e00行\uff0c\u5982\u679c不\u4f1a\u53d1\u751f\u6ca1\u6709\u4eba\u80fd\u901a\u8fc7\u8003\u6838\u7684\u7a98\u5883\uff0c\u8f93\u51faGOOD\uff1b\u5426\u5219\u8f93\u51faBAD\uff08\u5927\u5199\u5b57\u6bcd\uff09\u3002 <\/p>\n

Sample Input <\/strong><\/p>\n

2
3 4
m3 h1
m1 m2
h1 h3
h3 m2
2 4
h1 m2
m2 m1
h1 h2
m1 h2<\/p>\n

Sample Output <\/strong><\/p>\n

GOOD
BAD<\/p>\n

Source <\/strong><\/p>\n

JSOI2010\u7b2c\u4e8c\u8f6eContest2
\u6c34\u9898\u554a\u3002\u3002\u4e00\u773c\u5c31\u770b\u51fa\u662f2-sat\uff0c\u800c\u4e14\u8fd8\u4e0d\u9700\u8981\u65b9\u6848\u56e7\u3002\u3002\u76f4\u63a5\u6784\u56fe\u7136\u540eTarjan\u5c31\u53ef\u4ee5\u4e86\u3002\u3002
\u5177\u4f53\u8bf4\u5c31\u662f\u5bf9\u6bcf\u4e2a\u83dc\u5efa\u4e24\u4e2a\u8282\u70b9\uff0c\u4e00\u4e2a\u8282\u70b9\u8fde\u5411\u53e6\u4e00\u8282\u70b9\u8868\u793a\u9009\u4e86\u8fd9\u4e2a\u5c31\u4e00\u5b9a\u8981\u9009\u90a3\u4e2a\uff0c\u6bd4\u5982\u4e00\u4e2a\u4eba\u8981\u6c42\u4e00\u4e2a\u6c49\u4e00\u4e2a\u6ee1\uff0c\u5982\u679c\u7b2c\u4e00\u4e2a\u9009\u4e86\u6ee1\u90a3\u4e48\u7b2c\u4e8c\u4e2a\u53ea\u80fd\u662f\u6c49\u4e86(*^__^*) \u3002\u3002\u7136\u540e\u770b\u770b\u6709\u6ca1\u6709\u4e24\u4e2a\u77db\u76fe\u7684\u91cf\u5728\u4e00\u4e2a\u5f3a\u8054\u901a\u5206\u91cf\u91cc\u7684\u5c31\u53ef\u4ee5\u4e86\u56e7\u3002\u3002
Code\uff1a<\/p>\n

#include<cstdio>
#include<iostream>
#include<algorithm>
#include<string>
#include<vector>
#include<cstring>
#include<stack>
#define rep(i,n) for(int i=0;i<n;i++)
#define pb push_back
using namespace std;
const int inf=~0U>>1,maxn=100*2;
struct Edge
{
int t;Edge*next;
Edge(int _t,Edge* _next):t(_t),next(_next){}
}*E[maxn]={0};
void AddEdge(int s,int t){E[s]=new Edge(t,E[s]);}
int n,m;
inline int node(int i,bool j){return i*2+j;}
int low[maxn],ord[maxn],id[maxn],cnt,snt;bool instack[maxn];
stack<int> S;
int dfs(int x)
{
low[x]=ord[x]=++cnt;
S.push(x);instack[x]=true;
for(Edge*e=E[x];e;e=e->next)
if(!ord[e->t]) low[x]=min(low[x],dfs(e->t));
else if(instack[e->t]) low[x]=min(low[x],ord[e->t]);
if(low[x]==ord[x])
{
int u;
do{u=S.top();S.pop();id[u]=snt;instack[u]=false;}while(u!=x);
snt++;
}
return low[x];
}
void Tarjan()
{
memset(ord,0,sizeof(ord));
memset(instack,0,sizeof(instack));
cnt=snt=0;
rep(i,2*n)if(!ord[i])dfs(i);
}
bool Judge()
{
rep(i,n) if(id[2*i]==id[2*i+1])return false;
return true;
}
void solve()
{
scanf("%d %dn",&n,&m);bool c[2];int x[2];char t;
memset(E,0,sizeof(E));
while(m–)
{
rep(i,2)scanf("%c%dn",&t,x+i),–x[i],c[i]=t==’h’;
rep(i,2) AddEdge(node(x[i],!c[i]),node(x[1-i],c[1-i]));
}
Tarjan();
if(Judge())cout<<"GOOD"<<endl;
else cout<<"BAD"<<endl;
}
int main()
{
\/\/freopen("in","r",stdin);
int t;cin>>t;while(t–)solve();
}<\/p>\n","protected":false},"excerpt":{"rendered":"

[JSOI2010]\u6ee1\u6c49\u5168\u5e2d Time Limit:10000MS  Memory Limit:65536KTotal Submit:34 Accepted:21 Case Time Limit:1000MS Description \u6ee1\u6c49\u5168\u5e2d\u662f\u4e2d\u56fd\u6700\u4e30\u76db\u7684\u5bb4\u5ba2\u83dc\u80b4\uff0c\u6709\u8bb8\u591a\u79cd不\u540c\u7684\u6750料\u900f\u8fc7\u6ee1\u65cf\u6216\u662f\u6c49\u65cf\u7684料理\u65b9\u5f0f\uff0c\u5448\u73b0\u5728數量\u7e41\u591a\u7684\u83dc\u8272\u4e4b\u4e2d\u3002\u7531\u4e8e\u83dc\u8272\u4f17\u591a\u800c\u7e41\u6742\uff0c\u53ea\u6709\u6781\u5c11數\u535a\u5b66\u591a\u95fb\u6280 \u827a\u9ad8\u8d85\u7684\u53a8\u5e08\u80fd\u591f\u505a\u51fa\u6ee1\u6c49\u5168\u5e2d\uff0c\u800c\u80fd\u591f\u70f9\u996a\u51fa\u7ecf\u8fc7\u4e13\u5bb6\u8ba4\u8bc1\u7684\u6ee1\u6c49\u5168\u5e2d\uff0c\u4e5f\u662f\u4e2d\u56fd\u53a8\u5e08\u6700\u5927\u7684\u8363\u8a89\u4e4b\u4e00\u3002 \u4e16\u754c\u6ee1\u6c49\u5168\u5e2d\u534f\u4f1a\u662f\u7531\u80fd\u591f料理\u6ee1\u6c49\u5168\u5e2d\u7684\u4e13\u5bb6\u53a8\u5e08\u4eec\u6240\u7ec4\u6210\uff0c\u800c\u4ed6\u4eec\u4e4b\u95f4\u8fd8\u7ec6\u5206\u4e3a\u8bb8\u591a不\u540c\u7b49\u7ea7\u7684\u53a8\u5e08\u3002\u4e3a了\u62db\u6536\u65b0\u8fdb\u7684\u53a8\u5e08\u8fdb\u5165\u4e16\u754c\u6ee1\u6c49\u5168\u5e2d\u534f\u4f1a\uff0c\u5c06 \u4e8e\u8fd1\u65e5\u4e3e\u529e\u6ee1\u6c49\u5168\u5e2d\u5927\u8d5b\uff0c\u534f\u4f1a\u6d3e\u9063\u8bb8\u591a\u4f1a\u5458\u5f53\u4f5c\u8bc4\u5ba1\u5458\uff0c\u4e3a\u7684\u5c31\u662f\u8981\u5728參\u8d5b\u7684\u53a8\u5e08\u4e4b\u4e2d\uff0c\u627e\u5230\u6ee1\u6c49料理\u754c\u7684\u660e\u65e5\u4e4b\u661f\u3002 \u5927\u4f1a\u7684\u89c4\u5219\u5982\u4e0b\uff1a\u6bcf\u4f4d參\u8d5b\u7684\u9009\u624b\u53ef\u4ee5\u5f97\u5230n 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