#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- const int MAT=2; struct Mat { ll v[MAT][MAT]; Mat(){ZERO(v);v[0][0]=v[1][1]=1;};}; ll mo=1000000007; Mat mulmat(Mat a,Mat b,int n=MAT) { ll mo2=4*mo*mo; int x,y,z; Mat r; FOR(x,n) FOR(y,n) r.v[x][y]=0; FOR(x,n) FOR(z,n) FOR(y,n) { r.v[x][y] += a.v[x][z]*b.v[z][y]; if(r.v[x][y]>mo2) r.v[x][y] -= mo2; } FOR(x,n) FOR(y,n) r.v[x][y]%=mo; return r; } struct HLdecomp { static const int MD=20; int N,NE; vector> E,Cs; // edge, list of BIT vector D,S,B,C,Ci; // depth, size, base of BIT, child of BIT(val,id) vector> P; void init(int N) { this->N=N, NE=0, E.clear(),E.resize(N); Cs.clear(),Cs.resize(N); D=S=B=C=Ci=vector(N,0); int i; P.clear(); FOR(i,MD+1) P.push_back(vector(N,0));} void add_edge(int a,int b){ E[a].push_back(b),E[b].push_back(a); NE++;} // undir void dfs(int cur,int pre) { // get depth, parent, size, largest subtree int i; P[0][cur]=pre;S[cur]=1;C[cur]=Ci[cur]=-1;B[cur]=cur; D[cur]=(pre==-1)?0:(D[pre]+1); FOR(i,E[cur].size()) if(E[cur][i]!=pre) { int r=E[cur][i]; dfs(r,cur); S[cur]+=S[r]; if(C[cur]==-1 || S[r]>S[C[cur]]) C[cur]=r,Ci[cur]=i; } } void dfs2(int cur,int pre) { // set base and list if(pre!=-1 && C[pre]==cur) B[cur]=B[pre]; Cs[B[cur]].push_back(cur); FORR(r,E[cur]) if(r!=pre) dfs2(r,cur); } pair lca(int a,int b) { int ret=0,i,aa=a,bb=b; if(D[aa]>D[bb]) swap(aa,bb); for(i=19;i>=0;i--) if(D[bb]-D[aa]>=1<=0;i--) if(P[i][aa]!=P[i][bb]) aa=P[i][aa], bb=P[i][bb]; return make_pair((aa==bb)?aa:P[0][aa], D[a]+D[b]-2*D[(aa==bb)?aa:P[0][aa]]); } void decomp(int root=0){ assert(NE==N-1); dfs(root,root); dfs2(root,root); int i,x; FOR(i,MD) FOR(x,N) P[i+1][x]=P[i][P[i][x]]; } }; class SegTree { public: int NV; vector val; void init(int n) { NV=1; while(NV<=n) NV*=2; val.resize(NV*2); } Mat getval(int x,int y,int l=0,int r=-1,int k=1) { if(r==-1) r=NV; if(r<=x || y<=l) return Mat(); if(x<=l && r<=y) return val[k]; return mulmat(getval(x,y,l,(l+r)/2,k*2),getval(x,y,(l+r)/2,r,k*2+1)); } void update(int entry, Mat v) { entry += NV; val[entry]=v; while(entry>1) entry>>=1, val[entry]=mulmat(val[entry*2],val[entry*2+1]); } }; int N; int A[101010],B[101010]; HLdecomp hl; SegTree st[201010]; int Q; string S; Mat get(int f,int t) { Mat m; while(hl.B[f]!=hl.B[t]) { m=mulmat(st[hl.B[f]].getval(0,1+hl.D[f]-hl.D[hl.B[f]]),m); f=hl.P[0][hl.B[f]]; } if(f!=t) m=mulmat(st[hl.B[f]].getval(hl.D[t]+1-hl.D[hl.B[f]],1+hl.D[f]-hl.D[hl.B[f]]),m); return m; } void solve() { int i,j,k,l,r,x,y; string s; cin>>N; hl.init(N); FOR(i,N-1) { cin>>A[i]>>B[i]; hl.add_edge(A[i],B[i]); } hl.decomp(); FOR(i,N) if(hl.B[i]==i) st[i].init(hl.Cs[i].size()+2); FOR(i,N-1) { if(hl.D[A[i]]>hl.D[B[i]]) swap(A[i],B[i]); } cin>>Q; while(Q--) { cin>>S; Mat m; if(S=="x") { cin>>i>>m.v[0][0]>>m.v[0][1]>>m.v[1][0]>>m.v[1][1]; x=B[i]; st[hl.B[x]].update(hl.D[x]-hl.D[hl.B[x]],m); } else { cin>>x>>y; if(x==y) { cout<<"1 0 0 1"<