/** * author: tsuyu93 * started: 2021-05-25 19:54:49 * 継続は力なり、雨だれ石を穿つ * make the impossible possible **/ #pragma GCC optimize("Ofast") #include // #include // #include // namespace mpb = boost::multiprecision; // using bint = mpb::cpp_int; // // 仮数部が1024ビットの浮動小数点数型(TLEしたら小さくする) // using Real = mpb::number>; #ifdef __HOGE__ #pragma region macro #endif using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; using pll = pair; using pli = pair; using pii = pair; using pld = pair; using ppiii = pair; using ppiill = pair; using ppllll = pair; using pplii = pair; using mii = map; using dll = deque; using qll = queue; using pqll = priority_queue; using pqrll = priority_queue, greater>; using pqrpll = priority_queue, greater>; using vint = vector; using vbool = vector; using vstr = vector; using vll = vector; using vld = vector; using vpll = vector; using vvll = vector>; using vvint = vector>; using vvld = vector>; using vvbool = vector; using vvstr = vector; using vvpll = vector>; #define REP(i,n) for(ll i=0;i=0;i--) #define FOR(i,a,b) for(ll i=a;i<=ll(b);i++) #define FORD(i,a,b) for(ll i=a;i>=ll(b);i--) #define overload4(_1,_2,_3,_4,name,...) name #define overload3(_1,_2,_3,name,...) name #define rep1(n) for(ll i=0;i(a);) #define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c) #define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__) #define each1(i,a) for(auto&&i:a) #define each2(x,y,a) for(auto&&[x,y]:a) #define each3(x,y,z,a) for(auto&&[x,y,z]:a) #define each(...) overload4(__VA_ARGS__,each3,each2,each1)(__VA_ARGS__) #define all1(i) begin(i),end(i) #define all2(i,a) begin(i),begin(i)+a #define all3(i,a,b) begin(i)+a,begin(i)+b #define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__) #define rall1(i) (i).rbegin(),(i).rend() #define rall2(i,k) (i).rbegin(),(i).rbegin()+k #define rall3(i,a,b) (i).rbegin()+a,(i).rbegin()+b #define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__) #define SUM(...) accumulate(all(__VA_ARGS__),0LL) #define ALL(x) x.begin(),x.end() #define rALL(x) x.rbegin(),x.rend() #define SIZE(x) ll(x.size()) #define Sort(a) sort(all(a)) #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)int scan(){ return getchar(); } #define fs first #define sc second #define endl '\n' #define elif else if #define ADD_OVERFLOW(a, b) __builtin_add_overflow_p (a, b, (decltype((a)+(b))) 0) #define SUB_OVERFLOW(a, b) __builtin_sub_overflow_p (a, b, (decltype((a)+(b))) 0) #define MUL_OVERFLOW(a, b) __builtin_mul_overflow_p (a, b, (decltype((a)+(b))) 0) void scan(int& a){ scanf("%d", &a); } void scan(unsigned& a){ scanf("%u", &a); } void scan(long& a){ scanf("%ld", &a); } void scan(long long& a){ scanf("%lld", &a); } void scan(unsigned long long& a){ scanf("%llu", &a); } void scan(char& a){ do{ a = getchar(); }while(a == ' ' || a == '\n'); } void scan(float& a){ scanf("%f", &a); } void scan(double& a){ scanf("%lf", &a); } void scan(long double& a){ scanf("%Lf", &a); } void scan(vector& a){ for(unsigned i = 0; i < a.size(); i++){ int b; scan(b); a[i] = b; } } void scan(char a[]){ scanf("%s", a); } void scan(string& a){ cin >> a; } template void scan(vector&); template void scan(array&); template void scan(pair&); template void scan(T(&)[size]); template void scan(vector& a){ for(auto&& i : a) scan(i); } template void scan(deque& a){ for(auto&& i : a) scan(i); } template void scan(array& a){ for(auto&& i : a) scan(i); } template void scan(pair& p){ scan(p.first); scan(p.second); } template void scan(T (&a)[size]){ for(auto&& i : a) scan(i); } template void scan(T& a){ cin >> a; } void in(){} template void in(Head& head, Tail&... tail){ scan(head); in(tail...); } void print(){ putchar(' '); } void print(bool a){ printf("%d", a); } void print(int a){ printf("%d", a); } void print(unsigned a){ printf("%u", a); } void print(long a){ printf("%ld", a); } void print(long long a){ printf("%lld", a); } void print(unsigned long long a){ printf("%llu", a); } void print(char a){ printf("%c", a); } void print(char a[]){ printf("%s", a); } void print(const char a[]){ printf("%s", a); } void print(float a){ printf("%.15f", a); } void print(double a){ printf("%.15f", a); } void print(long double a){ printf("%.15Lf", a); } void print(const string& a){ for(auto&& i : a) print(i); } template void print(const complex& a){ if(a.real() >= 0) print('+'); print(a.real()); if(a.imag() >= 0) print('+'); print(a.imag()); print('i'); } template void print(const vector&); template void print(const array&); template void print(const pair& p); template void print(const T (&)[size]); template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const deque& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const array& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const pair& p){ print(p.first); putchar(' '); print(p.second); } template void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ putchar(' '); print(*i); } } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } #ifdef DEBUG inline ll __lg(ull x){ return 63 - __builtin_clzll(x); } #define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); } #else #define debug(...) void(0) #endif #define INF32 2147483647 //2.147483647x10^{9}:32bit整数のinf #define INF64 9223372036854775807 //9.223372036854775807x10^{18}:64bit整数のinf const ll MOD = 1000000007; const int inf = 1e9; const ll INF = (1LL<<61); const ll MAXR = 100000; //10^5:配列の最大のrange const ld PI = acos(-1); inline void Yes(bool b = true) { cout << (b ? "Yes" : "No") << '\n'; } inline void YES(bool b = true) { cout << (b ? "YES" : "NO") << '\n'; } inline void OKNG(bool b = true) { cout << (b ? "OK" : "NG") << '\n'; } inline void GAme(bool b = true) { cout << (b ? "First" : "Second") << '\n'; } inline void gAme(bool b = true) { cout << (b ? "first" : "second") << '\n'; } inline void Takahashi_Aoki(bool b = true) { cout << (b ? "Takahashi" : "Aoki") << '\n'; } inline void takahashi_aoki(bool b = true) { cout << (b ? "takahashi" : "aoki") << '\n'; } inline void possible(bool i = true){ cout << (i?"possible":"impossible") << '\n'; } inline void Possible(bool i = true){ cout << (i?"Possible":"Impossible") << '\n'; } inline void POSSIBLE(bool i = true){ cout << (i?"POSSIBLE":"IMPOSSIBLE") << '\n'; } template inline bool chmin(A& a, B b) {if (a > b) {a = b;return true;}return false;} template inline bool chmax(A& a, B b) {if (a < b) {a = b;return true;}return false;} template auto min(const T& a){ return *min_element(a.begin(),a.end()); } template auto max(const T& a){ return *max_element(a.begin(),a.end()); } template T power(T a, T b) {T res=1;while (b>0) {if (b&1){res*=a;}b/=2;a*=a;}return res;} long long powmod(long long a, long long b) {long long res=1;while (b>0) {if (b&1){res*=a;res%=MOD;}b/=2;a*=a;a%=MOD;}return res;} template T powmod(T a, T b,T m) {T res=1;while (b>0) {if (b&1){res*=a;res%=m;}b/=2;a*=a;a%=m;}return res%m;} template T nlcm(const vector &a) {T res;res = a[0];for (ll i = 1; i < (ll)a.size(); i++) {res = lcm(res, a[i]);}return res;} template T ngcd(const vector &a){T res;res = a[0];for(ll i = 1; i < (ll)a.size() && res != 1; i++) {res = gcd(a[i], res);}return res;} template T sqr(T x){T r=sqrt(x)-1;while((r+1)*(r+1)<=x)r++;return r;} template T bit_length(T a){T k = 0;while(a){k++;a/=2;}return k;} template T isqrt(T n){T a = 0, r = 0;for(T s = bit_length(n)-(bit_length(n)%2?1:2); s >= 0;s-=2){T t = ((n >> s) & 3);r = ((r << 2) | t);T c = ((a << 2) | 1);int b = (r >= c);if(b){r -= c;}a = ((a << 1) | b);}return a;} int popcount(long long a){return __builtin_popcountll(a);} int popcount(int a){return __builtin_popcount(a);} template T ceil(T a, T b) {if(b < 0) a = -a, b = -b;return (a >= 0 ? (a + b - 1) / b : a / b);} template T floor(T a, T b) {if(b < 0) a = -a, b = -b;return (a >= 0 ? a / b : (a - b + 1) / b);} #ifdef __HOGE__ #pragma endregion #endif //#include //using namespace atcoder; template struct HLDecomposition { G &g; vector sz, in, out, head, rev, par, d; HLDecomposition(G &g) : g(g), d(g.size()), sz(g.size()), in(g.size()), out(g.size()), head(g.size()), rev(g.size()), par(g.size()) {} void dfs_sz(int idx, int p) { par[idx] = p; sz[idx] = 1; if(g[idx].size() and g[idx][0] == p) swap(g[idx][0], g[idx].back()); for(auto &to : g[idx]) { if(to == p) continue; d[to] = d[idx] + 1; dfs_sz(to, idx); sz[idx] += sz[to]; if(sz[g[idx][0]] < sz[to]) swap(g[idx][0], to); } } void dfs_hld(int idx, int par, int ×) { in[idx] = times++; rev[in[idx]] = idx; for(auto &to : g[idx]) { if(to == par) continue; head[to] = (g[idx][0] == to ? head[idx] : to); dfs_hld(to, idx, times); } out[idx] = times; } template void dfs_hld(int idx, int par, int ×, vector &v) { in[idx] = times++; rev[in[idx]] = idx; for(auto &to : g[idx]) { if(to == par) { v[in[idx]] = to.cost; continue; } head[to] = (g[idx][0] == to ? head[idx] : to); dfs_hld(to, idx, times, v); } out[idx] = times; } template void dfs_hld(int idx, int par, int ×, vector &v, vector &a) { in[idx] = times++; rev[in[idx]] = idx; v[in[idx]] = a[idx]; for(auto &to : g[idx]) { if(to == par) continue; head[to] = (g[idx][0] == to ? head[idx] : to); dfs_hld(to, idx, times, v, a); } out[idx] = times; } void build(int root = 0) { head[root] = root; dfs_sz(root, -1); int t = 0; dfs_hld(root, -1, t); } template vector build(int root = 0) { head[root] = root; dfs_sz(root, -1); int t = 0; vector res(g.size()); dfs_hld(root, -1, t, res); return res; } template vector build(vector &a, int root = 0) { head[root] = root; dfs_sz(root, -1); int t = 0; vector res(g.size()); dfs_hld(root, -1, t, res, a); return res; } int la(int v, int k) { while(1) { int u = head[v]; if(in[v] - k >= in[u]) return rev[in[v] - k]; k -= in[v] - in[u] + 1; v = par[u]; } } int lca(int u, int v) { for(;; v = par[head[v]]) { if(in[u] > in[v]) swap(u, v); if(head[u] == head[v]) return u; } } template T query(int u, int v, const T &e, const Q &q, const F &f, bool edge = false) { T l = e, r = e; for(;; v = par[head[v]]) { if(in[u] > in[v]) swap(u, v), swap(l, r); if(head[u] == head[v]) break; l = f(q(in[head[v]], in[v] + 1), l); } return f(f(q(in[u] + edge, in[v] + 1), l), r); } template T query(int u, int v, const T &e, const Q &q1, const Q2 &q2, const F &f, bool edge = false) { T l = e, r = e; for(;;) { if(head[u] == head[v]) break; if(in[u] > in[v]) { l = f(l, q2(in[head[u]], in[u] + 1)); u = par[head[u]]; } else { r = f(q1(in[head[v]], in[v] + 1), r); v = par[head[v]]; } } if(in[u] > in[v]) return f(f(l, q2(in[v] + edge, in[u] + 1)), r); return f(f(l, q1(in[u] + edge, in[v] + 1)), r); } //query [u, v], q([left, right]) template void add(int u, int v, const Q &q, bool edge = false) { if(edge){ while (true) { if (in[u] > in[v]) swap(u, v); if (head[u] != head[v]) { q(in[head[v]], in[v]); v = par[head[v]]; } else { if (u != v) q(in[u] + 1, in[v]); break; } } }else{ while (true) { if (in[u] > in[v]) swap(u, v); q(max(in[head[v]], in[u]), in[v]); if (head[u] != head[v]) v = par[head[v]]; else break; } } } constexpr int operator[](int k) { return in[k]; } int dist(int u, int v) { return d[u] + d[v] - 2 * d[lca(u, v)]; } // u -> v の unique path vector road(int u, int v) { int l = lca(u, v); vector a, b; for(; v != l; v = la(v)) b.emplace_back(v); for(; u != l; u = la(u)) a.emplace_back(u); a.emplace_back(l); for(int i = b.size() - 1; i >= 0; i--) a.emplace_back(b[i]); return a; } pair subtree(int v, bool edge = false) { return pair(in[v] + edge, out[v]); } }; template class segment_tree{ static_assert(1 <= seg_type && seg_type <= 3); protected: virtual typeT e_t(){return typeT();}; virtual typeE e_e(){return typeE();}; virtual typeT func_tt(typeT a, typeT b){return e_t();}; virtual typeT func_te(typeT t, typeE e){return e_t();}; virtual typeE func_ee(typeE a, typeE b){return e_e();}; unsigned int num, lognum = 0, sz; std::vector seg_t; std::vector seg_e; void preset(unsigned int n, std::conditional_t def){preset(std::vector(n, def));} void preset(std::vector> vec){ num = vec.size(); while((1U << lognum) < num) lognum++; sz = 1U << lognum; if constexpr(seg_type == 1){ seg_t = std::vector(sz * 2, e_t()); std::copy(vec.begin(), vec.end(), seg_t.begin() + sz); for(unsigned int i = sz - 1; i > 0; i--) update_t(i); } else if constexpr(seg_type == 2){ seg_e = std::vector(sz * 2, e_e()); std::copy(vec.begin(), vec.end(), seg_e.begin() + sz); } else if constexpr(seg_type == 3){ seg_t = std::vector(sz * 2, e_t()); seg_e = std::vector(sz, e_e()); std::copy(vec.begin(), vec.end(), seg_t.begin() + sz); for(unsigned int i = sz - 1; i > 0; i--) update_t(i); } } void update_t(unsigned int ind){ if constexpr(seg_type != 2){ seg_t[ind] = func_tt(seg_t[ind * 2], seg_t[ind * 2 + 1]); } } void apply_e(unsigned int ind, typeE query){ if constexpr(seg_type == 1){ seg_t[ind] = func_te(seg_t[ind], query); } else if constexpr(seg_type == 2){ seg_e[ind] = func_ee(seg_e[ind], query); } else if constexpr(seg_type == 3){ seg_t[ind] = func_te(seg_t[ind], query); if(ind < sz) seg_e[ind] = func_ee(seg_e[ind], query); } } void push_e(unsigned int ind){ if constexpr(seg_type != 1){ apply_e(ind * 2, seg_e[ind]); apply_e(ind * 2 + 1, seg_e[ind]); seg_e[ind] = e_e(); } } public: std::conditional_t get(unsigned int ind){ ind += sz; if constexpr(seg_type == 1) return seg_t[ind]; for(unsigned int i = lognum; i > 0; i--) push_e(ind >> i); if constexpr(seg_type == 2) return seg_e[ind]; else return seg_t[ind]; } typeT prod(unsigned int l_ind, unsigned int r_ind){ if constexpr(seg_type == 2) assert(false); l_ind += sz, r_ind += sz; if constexpr(seg_type == 3){ for(unsigned int i = lognum; i > 0; i--){ if(((l_ind >> i) << i) != l_ind) push_e(l_ind >> i); if(((r_ind >> i) << i) != r_ind) push_e((r_ind - 1) >> i); } } typeT res_l = e_t(), res_r = e_t(); while(l_ind < r_ind){ if(l_ind & 1) res_l = func_tt(res_l, seg_t[l_ind++]); if(r_ind & 1) res_r = func_tt(seg_t[--r_ind], res_r); l_ind >>= 1, r_ind >>= 1; } return func_tt(res_l, res_r); } typeT all_prod(){ if constexpr(seg_type == 2) assert(false); return seg_t[1]; } void apply(unsigned int ind, typeE query){ ind += sz; if constexpr(seg_type != 1){ for(unsigned int i = lognum; i > 0; i--) push_e(ind >> i); } seg_t[ind] = func_te(seg_t[ind], query); if constexpr(seg_type != 2){ for(unsigned int i = 1; i <= lognum; i++) update_t(ind >> i); } } void apply(unsigned int l_ind, unsigned int r_ind, typeE query){ if constexpr(seg_type == 1) assert(false); l_ind += sz, r_ind += sz; for(unsigned int i = lognum; i > 0; i--){ if(((l_ind >> i) << i) != l_ind) push_e(l_ind >> i); if(((r_ind >> i) << i) != r_ind) push_e((r_ind - 1) >> i); } unsigned int l2 = l_ind, r2 = r_ind; while(l2 < r2){ if(l2 & 1) apply_e(l2++, query); if(r2 & 1) apply_e(--r2, query); l2 >>= 1, r2 >>= 1; } if constexpr(seg_type == 3){ for(unsigned int i = 1; i <= lognum; i++){ if(((l_ind >> i) << i) != l_ind) update_t(l_ind >> i); if(((r_ind >> i) << i) != r_ind) update_t((r_ind - 1) >> i); } } } // void debug(){ // for(unsigned int i = 1; i < sz; i++) push_e(i); // for(unsigned int i = sz - 1; i > 0; i--) update_t(i); // } }; template struct Rmatrixmultiply_SUQ : public segment_tree>, vector>, 1>{ template Rmatrixmultiply_SUQ(Args... args){this->preset(args...);} using T = vector>; T e_t(){ vector> res(C,vector(C,0)); for(int i = 0;i < C; i++){ res[i][i] = 1; } return res; } T func_tt(T a, T b){ T res(a.size(),vector(b[0].size(),0)); for(int i = 0;i < a.size(); i++){ for(int k = 0;k < b.size(); k++){ for(int j = 0;j < b[0].size(); j++){ // res[i][j] = (res[i][j] + a[i][k] * b[k][j]); res[i][j] = (res[i][j] + a[i][k] * b[k][j])%MOD; res[i][j] %= MOD; } } } return res;} T func_te(T a, T b){return b;} }; signed main(){ ios::sync_with_stdio(false); cin.tie(nullptr); //cout << fixed << setprecision(15); ll N; cin >> N; vvll G(N); vll X(N-1),Y(N-1); rep(i,N-1){ ll a,b; cin >> a >> b; G[a].emplace_back(b); G[b].emplace_back(a); X[i] = a,Y[i] = b; } HLDecomposition hld(G); hld.build(); vvll identity(2,vll(2,0)); identity[0][0] = 1; identity[1][1] = 1; Rmatrixmultiply_SUQ seg(N,identity); ll Q; cin >> Q; while(Q--){ char q; cin >> q; if(q=='x'){ ll v; cin >> v; vvll m(2,vll(2,0)); cin >> m[0][0] >> m[0][1] >> m[1][0] >> m[1][1]; seg.apply(max(hld.in[X[v]],hld.in[Y[v]]),m); }else{ ll u,v; cin >> u >> v; vector> vec = hld.query(u,v,identity,[&](int a,int b){return seg.prod(a,b);}, [&](vector> a,vector> b){ vector> res(a.size(),vector(b[0].size())); for(int i = 0;i < a.size(); i++){ for(int k = 0;k < b.size(); k++){ for(int j = 0;j < b[0].size(); j++){ res[i][j] = (res[i][j] + a[i][k] * b[k][j])%MOD; res[i][j] %= MOD; } } } return res;},true); cout << vec[0][0] << " " << vec[0][1] << " " << vec[1][0] << " " << vec[1][1] << endl; } } //cout << ans << endl; return 0; }