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3.84 kB
| // GRUNDY GRAPH | |
| // Official Solution by Jacob Plachta | |
| using namespace std; | |
| template<typename T> T Abs(T x) { return(x<0 ? -x : x); } | |
| template<typename T> T Sqr(T x) { return(x*x); } | |
| string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } | |
| const int INF = (int)1e9; | |
| const LD EPS = 1e-9; | |
| const LD PI = acos(-1.0); | |
| //#if DEBUG | |
| /*#else | |
| #define GETCHAR getchar_unlocked | |
| #endif*/ | |
| bool Read(int &x) | |
| { | |
| char c,r=0,n=0; | |
| x=0; | |
| for(;;) | |
| { | |
| c=GETCHAR(); | |
| if ((c<0) && (!r)) | |
| return(0); | |
| if ((c=='-') && (!r)) | |
| n=1; | |
| else | |
| if ((c>='0') && (c<='9')) | |
| x=x*10+c-'0',r=1; | |
| else | |
| if (r) | |
| break; | |
| } | |
| if (n) | |
| x=-x; | |
| return(1); | |
| } | |
| struct edge{int e, nxt;}; | |
| int V, E; | |
| edge e[LIM], er[LIM]; | |
| int sp[LIM], spr[LIM]; | |
| int group_cnt, comp[LIM]; | |
| bool v[LIM]; | |
| int stk[LIM]; | |
| void fill_forward(int x) | |
| { | |
| int i; | |
| v[x]=true; | |
| for(i=sp[x];i;i=e[i].nxt) if(!v[e[i].e]) fill_forward(e[i].e); | |
| stk[++stk[0]]=x; | |
| } | |
| void fill_backward(int x) | |
| { | |
| int i; | |
| v[x]=false; | |
| comp[x]=group_cnt; | |
| for(i=spr[x];i;i=er[i].nxt) if(v[er[i].e]) fill_backward(er[i].e); | |
| } | |
| void add_edge(int v1, int v2) //add edge v1->v2 | |
| { | |
| e [++E].e=v2; e [E].nxt=sp [v1]; sp [v1]=E; | |
| er[ E].e=v1; er[E].nxt=spr[v2]; spr[v2]=E; | |
| } | |
| void SCC() | |
| { | |
| int i; | |
| stk[0]=0; | |
| memset(v, false, sizeof(v)); | |
| for(i=1;i<=V;i++) if(!v[i]) fill_forward(i); | |
| group_cnt=0; | |
| for(i=stk[0];i>=1;i--) if(v[stk[i]]){group_cnt++; fill_backward(stk[i]);} | |
| } | |
| int val[LIM]; | |
| bool visA[LIM],visB[LIM]; | |
| vector<int> con[LIM]; | |
| bool rec(int s,int i) | |
| { | |
| if ((i!=s) && ((i-1)/2%2)) | |
| return(1); | |
| if (visB[i]) | |
| return(0); | |
| visB[i]=1; | |
| int j; | |
| Fox(j,Sz(con[i])) | |
| if (rec(s,con[i][j])) | |
| return(1); | |
| return(0); | |
| } | |
| int main() | |
| { | |
| if (DEBUG) | |
| freopen("in.txt","r",stdin); | |
| int T,t; | |
| int N,M; | |
| int i,j,a,b; | |
| Read(T); | |
| Fox1(t,T) | |
| { | |
| printf("Case #%d: ",t); | |
| Read(N),Read(M); | |
| N<<=1; | |
| Fox1(i,N) | |
| con[i].clear(); | |
| V=N; | |
| E=0; | |
| Fill(sp,0); | |
| Fill(spr,0); | |
| while (M--) | |
| { | |
| Read(i),Read(j); | |
| con[i].pb(j); | |
| add_edge(i,j); | |
| if (j%2) | |
| j++; | |
| else | |
| j--; | |
| if (i%2) | |
| i++; | |
| else | |
| i--; | |
| con[j].pb(i); | |
| add_edge(j,i); | |
| } | |
| SCC(); | |
| Fill(visA,0); | |
| Fill(visB,0); | |
| Fox1(i,N) | |
| { | |
| //Alice | |
| a=comp[i],b=comp[i+1]; | |
| if (a==b) | |
| goto Bad; | |
| visA[a]=visA[b]=1; | |
| i+=2; | |
| //Bob | |
| a=comp[i],b=comp[i+1]; | |
| if ((visA[a]) || (visA[b]) || (rec(i,i)) || (rec(i+1,i+1))) | |
| goto Bad; | |
| i++; | |
| } | |
| printf("Alice\n"); | |
| continue; | |
| Bad:; | |
| printf("Bob\n"); | |
| } | |
| return(0); | |
| } |