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| // Chain of Command | |
| // 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-12; | |
| const LD PI = acos(-1.0); | |
| 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); | |
| } | |
| int N; | |
| LL curSum; | |
| int ind,sz[LIM],in[LIM],out[LIM],nxt[LIM]; | |
| int C[LIM],S[LIM]; | |
| int BLT[2][LIM]; // 0: B, 1: X | |
| bool X[LIM],hasSetXUpward[LIM]; | |
| vector<int> ch[LIM],unsetXch[LIM]; | |
| void RecCalcSz(int i) | |
| { | |
| int j; | |
| sz[i]=1; | |
| Fox(j,Sz(ch[i])) | |
| { | |
| int c=ch[i][j]; | |
| RecCalcSz(c); | |
| sz[i]+=sz[c]; | |
| if(sz[c]>sz[ch[i][0]]) | |
| swap(ch[i][0],ch[i][j]); | |
| } | |
| } | |
| void RecHLD(int i) | |
| { | |
| in[i]=ind++; | |
| int j; | |
| Fox(j,Sz(ch[i])) | |
| { | |
| int c=ch[i][j]; | |
| nxt[c]=j ? c : nxt[i]; | |
| RecHLD(c); | |
| } | |
| out[i]=ind; | |
| } | |
| void IncBLT(int b,int i) | |
| { | |
| for (i++; i<=N; i+=(i&-i)) | |
| BLT[b][i]++; | |
| } | |
| int QueryBLT(int b,int i) | |
| { | |
| int s=0; | |
| for (i++; i>0; i-=(i&-i)) | |
| s+=BLT[b][i]; | |
| return(s); | |
| } | |
| int QueryBInSubtree(int i) | |
| { | |
| return(QueryBLT(0,out[i]-1)-QueryBLT(0,in[i]-1)); | |
| } | |
| int QueryXToRoot(int i) | |
| { | |
| int x=1; | |
| while (i>=0) | |
| { | |
| int a=nxt[i]; | |
| x+=QueryBLT(1,in[i])-QueryBLT(1,in[a]-1); | |
| i=C[a]; | |
| } | |
| return(x); | |
| } | |
| void SetX(int i) | |
| { | |
| if (X[i]) | |
| return; | |
| X[i]=1; | |
| IncBLT(1,in[i]); | |
| curSum+=QueryBInSubtree(i); | |
| } | |
| void Bribe(int i) | |
| { | |
| int j; | |
| IncBLT(0,in[i]); | |
| curSum+=QueryXToRoot(i); | |
| Fox(j,Sz(ch[i])) | |
| SetX(ch[i][j]); | |
| for(;;) | |
| { | |
| if (hasSetXUpward[i]) | |
| break; | |
| hasSetXUpward[i]=1; | |
| int c=C[i]; | |
| if (c<0) | |
| break; | |
| Fox(j,Sz(unsetXch[c])) | |
| if (unsetXch[c][j]!=i) | |
| SetX(unsetXch[c][j]); | |
| unsetXch[c].clear(); | |
| unsetXch[c].pb(i); | |
| i=c; | |
| } | |
| } | |
| int main() | |
| { | |
| if (DEBUG) | |
| freopen("in.txt","r",stdin); | |
| // vars | |
| int T,t; | |
| int i,r; | |
| // testcase loop | |
| Read(T); | |
| Fox1(t,T) | |
| { | |
| // init | |
| Fox(i,N) | |
| { | |
| ch[i].clear(); | |
| unsetXch[i].clear(); | |
| } | |
| // input | |
| Read(N); | |
| Fox(i,N) | |
| { | |
| Read(C[i]),C[i]--; | |
| if (C[i]<0) | |
| r=i; | |
| else | |
| { | |
| ch[C[i]].pb(i); | |
| unsetXch[C[i]].pb(i); | |
| } | |
| } | |
| // perform heavy-light decomposition | |
| ind=0; | |
| RecCalcSz(r); | |
| nxt[r]=r; | |
| RecHLD(r); | |
| // init | |
| curSum=0; | |
| Fill(BLT,0); | |
| Fill(X,0); | |
| Fill(hasSetXUpward,0); | |
| // process bribes | |
| int ans=1; | |
| Fox(i,N) | |
| { | |
| Bribe(i); | |
| ans=ans*(curSum%MOD)%MOD; | |
| } | |
| // output | |
| printf("Case #%d: %d\n",t,ans); | |
| } | |
| return(0); | |
| } |