結果

問題 No.650 行列木クエリ
ユーザー iiljjiiljj
提出日時 2020-11-11 23:20:45
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 27,893 bytes
コンパイル時間 9,162 ms
コンパイル使用メモリ 258,048 KB
最終ジャッジ日時 2025-01-15 22:10:38
ジャッジサーバーID
(参考情報)
judge1 / judge3
このコードへのチャレンジ
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:625:20: error: expected unqualified-id before ')' token
  625 |     Mat<Num, H, W>() : array<array<Num, W>, H>() { fill(0); }
      |                    ^
main.cpp:626:20: error: expected unqualified-id before 'const'
  626 |     Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
      |                    ^~~~~
main.cpp:626:20: error: expected ')' before 'const'
  626 |     Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
      |                   ~^~~~~
      |                    )
main.cpp:627:57: error: invalid declarator before 'init'
  627 |     Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
      |                                                         ^~~~
main.cpp:627:56: error: expected ')' before 'init'
  627 |     Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
      |                   ~                                    ^~~~~
      |                                                        )
main.cpp: In function 'void solve()':
main.cpp:755:32: error: could not convert '{0, {{1, 0}, {0, 1}}}' from '<brace-enclosed initializer list>' to 'T' {aka 'std::pair<long long int, Mat<mint, 2, 2> >'}
  755 |     T ti = {0, {{1, 0}, {0, 1}}}; // 要素の単位元
      |                                ^
      |                                |
      |                                <brace-enclosed initializer list>
main.cpp:756:32: error: could not convert '{0, {{1, 0}, {0, 1}}}' from '<brace-enclosed initializer list>' to 'E' {aka 'std::pair<long long int, Mat<mint, 2, 2> >'}
  756 |     E ei = {0, {{1, 0}, {0, 1}}}; // 作用素の単位元
      |                                ^
      |                                |
      |                                <brace-enclosed initializer list>
main.cpp:760:48: error: no match for 'operator=' (operand types are '__gnu_cxx::__alloc_traits<std::allocator<std::pair<long lon

ソースコード

diff #
プレゼンテーションモードにする

/* #region Head */
// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;
#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c) \
sort(ALL(c)); \
for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define CEIL(a, b) (((a) + (b)-1) / (b))
#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l
constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;
template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector
for (T &x : vec) is >> x;
return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector (for dump)
os << "{";
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector (inline)
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
return os;
}
template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair
is >> pair_var.first >> pair_var.second;
return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
// map, um, set, us
template <class T> ostream &out_iter(ostream &os, T &map_var) {
os << "{";
REPI(itr, map_var) {
os << *itr;
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) {
os << "{";
REPI(itr, map_var) {
auto [key, value] = *itr;
os << "(" << key << ", " << value << ")";
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
os << "}";
return os;
}
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
pq<T> pq_cp(pq_var);
os << "{";
if (!pq_cp.empty()) {
os << pq_cp.top(), pq_cp.pop();
while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
}
return os << "}";
}
void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&... tail) {
cout << head;
if (sizeof...(Tail) > 0) cout << ' ';
pprint(move(tail)...);
}
// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
DUMPOUT << head;
if (sizeof...(Tail) > 0) DUMPOUT << ", ";
dump_func(move(tail)...);
}
// chmax ()
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
if (comp(xmax, x)) {
xmax = x;
return true;
}
return false;
}
// chmin ()
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
if (comp(x, xmin)) {
xmin = x;
return true;
}
return false;
}
//
#define DEBUG_
#ifdef DEBUG_
#define DEB
#define dump(...) \
DUMPOUT << " " << string(#__VA_ARGS__) << ": " \
<< "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \
<< " ", \
dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
#define VAR(type, ...) \
type __VA_ARGS__; \
cin >> __VA_ARGS__;
template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }
struct AtCoderInitialize {
static constexpr int IOS_PREC = 15;
static constexpr bool AUTOFLUSH = false;
AtCoderInitialize() {
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
cout << fixed << setprecision(IOS_PREC);
if (AUTOFLUSH) cout << unitbuf;
}
} ATCODER_INITIALIZE;
void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }
/* #endregion */
// #include <atcoder/all>
// using namespace atcoder;
/* #region Graph */
//
template <class weight_t = int, class flow_t = int> struct Edge {
ll src; //
ll dst; //
weight_t weight; //
flow_t cap;
Edge() : src(0), dst(0), weight(0) {}
Edge(ll src, ll dst, weight_t weight) : src(src), dst(dst), weight(weight) {}
Edge(ll src, ll dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {}
// Edge
friend ostream &operator<<(ostream &os, Edge &edge) {
os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")";
return os;
}
};
//
template <class weight_t = int, class flow_t = int> class Node : public vc<Edge<weight_t, flow_t>> {
public:
ll idx;
Node() : vc<Edge<weight_t, flow_t>>() {}
// void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); };
};
// graph[i] := i
template <class weight_t = int, class flow_t = int> class Graph : public vc<Node<weight_t, flow_t>> {
public:
Graph() : vc<Node<weight_t, flow_t>>() {}
Graph(int n) : vc<Node<weight_t, flow_t>>(n) { REP(i, 0, n)(*this)[i].idx = i; }
//
void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); }
//
void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); }
};
// using Array = vc<Weight>;
// using Matrix = vc<Array>;
/* #endregion */
/* #region HLD */
template <class weight_t = int, class flow_t = int> struct HeavyLightDecomposition {
Graph<weight_t, flow_t> &g;
vc<int> sz; // sz[i] := i
vc<int> in; // in[i] := i
vc<int> out; // out[i] := i
vc<int> head; // head[i] := HLD i
vc<int> rev; // rev[i] := i in
vc<int> par; // par[i] := i 0
HeavyLightDecomposition(Graph<weight_t, flow_t> &g)
: g(g), sz(g.size()), in(g.size()), out(g.size()), head(g.size()), rev(g.size()), par(g.size()) {}
// 調 dfs
void dfs_sz(int idx, int p) {
par[idx] = p;
sz[idx] = 1;
//
if (g[idx].size() >= 2ul && g[idx][0].dst == p) {
swap(g[idx][0], g[idx][1]);
// swap(g[idx][0], g[idx].back());
}
for (Edge<weight_t, flow_t> &edge : g[idx]) {
if (edge.dst == p) continue;
dfs_sz(edge.dst, idx);
sz[idx] += sz[edge.dst];
//
if (sz[g[idx][0].dst] < sz[edge.dst]) {
// dump(g[idx][0].dst, edge.dst, sz[g[idx][0].dst], sz[edge.dst]);
swap(g[idx][0], edge);
}
}
}
// dfs hld
void dfs_hld(int idx, int par, int &times) {
in[idx] = times++;
rev[in[idx]] = idx;
for (Edge<weight_t, flow_t> &edge : g[idx]) {
if (edge.dst == par) continue;
head[edge.dst] = (g[idx][0].dst == edge.dst ? head[idx] : edge.dst);
dfs_hld(edge.dst, idx, times);
}
out[idx] = times;
}
//
void build() {
dfs_sz(0, -1);
int t = 0;
dfs_hld(0, -1, t);
}
// v 0 k
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];
}
}
// u v
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;
}
}
/**
* u v
* @param ti
* @param q . (int, int) -> T.
* @param f . (T, T) -> T.
* @param edge
*/
template <typename T, typename Q, typename F>
T query(int u, int v, const T &ti, const Q &q, const F &f, bool edge = false) {
T l = ti, r = ti;
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);
// return {f(q(in[u] + edge, in[v] + 1), l), r};
}
/**
* u v O(log n).
* @param q (left, right) -> void.
* @param edge
*/
template <typename Q> void update(int u, int v, const Q &q, bool edge = false) {
for (;; v = par[head[v]]) {
if (in[u] > in[v]) swap(u, v);
if (head[u] == head[v]) break;
q(in[head[v]], in[v] + 1);
}
q(in[u] + edge, in[v] + 1);
}
};
/* #endregion */
/* #region LazySegTree */
// 使
// - beet's soil
// http://beet-aizu.hatenablog.com/entry/2017/12/01/225955
template <typename T, typename E> // T: E:
struct LazySegmentTree {
using F = function<T(T, T)>; // max
using G = function<T(T, E)>; //
using H = function<E(E, E)>; //
ll n, height; //
ll nn; //
F f; // 使 max
G g; // 使g() 使
H h; // 使
T ti; // f, h 0. (a>0 max(a,0)=max(0,a)=a)
E ei; // f, h 0.
vc<T> dat; // 1-indexed (index 1 | 2 3 | 4 5 6 7 | 8 9 10 11 12 13 14 15 | ...)
vc<E> laz; // 1-indexed
//
LazySegmentTree(F f, G g, H h, T ti, E ei) : f(f), g(g), h(h), ti(ti), ei(ei) {}
//
void init(ll n_) {
nn = n_;
n = 1;
height = 0;
while (n < n_) n <<= 1, height++;
dat.assign(2 * n, ti);
laz.assign(2 * n, ei);
}
//
void build(const vc<T> &v) {
ll n_ = SIZE(v);
init(n_);
REP(i, 0, n_) dat[n + i] = v[i];
REPR(i, n - 1, 1) dat[i] = f(dat[(i << 1) | 0], dat[(i << 1) | 1]);
}
// k
inline T reflect(ll k) { return laz[k] == ei ? dat[k] : g(dat[k], laz[k]); }
// k
// dat[k]
inline void propagate(ll k) {
if (laz[k] == ei) return;
//
laz[(k << 1) | 0] = h(laz[(k << 1) | 0], laz[k]); //
laz[(k << 1) | 1] = h(laz[(k << 1) | 1], laz[k]); //
dat[k] = reflect(k);
laz[k] = ei;
}
// k
// dat[k] dat[k>>1], dat[k>>2], ..., dat[1]
// dat[1]
inline void thrust(ll k) { REPR(i, height, 1) propagate(k >> i); }
// k
inline void recalc(ll k) {
while (k >>= 1) dat[k] = f(reflect((k << 1) | 0), reflect((k << 1) | 1));
}
// [a, b)
void update(ll a, ll b, E x) {
if (a >= b) return;
// assert(a < b)
thrust(a += n); // a
thrust(b += n - 1); // b-1
// l, r
for (ll l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) laz[l] = h(laz[l], x), l++; // l
if (r & 1) --r, laz[r] = h(laz[r], x); // r
}
recalc(a);
recalc(b);
}
// a x
void set_val(ll a, T x) {
thrust(a += n);
dat[a] = x;
laz[a] = ei;
recalc(a);
}
// [a, b)
T query(ll a, ll b) {
if (a >= b) return ti;
// assert(a<b)
thrust(a += n); // a
thrust(b += n - 1); // b-1
T vl = ti, vr = ti;
for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) vl = f(vl, reflect(l++));
if (r & 1) vr = f(reflect(--r), vr);
}
return f(vl, vr);
}
template <typename C> ll find(ll st, C &check, T &acc, ll k, ll l, ll r) {
if (l + 1 == r) {
acc = f(acc, reflect(k));
return check(acc) ? k - n : -1;
}
propagate(k);
ll m = (l + r) >> 1;
if (m <= st) return find(st, check, acc, (k << 1) | 1, m, r);
if (st <= l && !check(f(acc, dat[k]))) {
acc = f(acc, dat[k]);
return -1;
}
ll vl = find(st, check, acc, (k << 1) | 0, l, m);
if (~vl) return vl;
return find(st, check, acc, (k << 1) | 1, m, r);
}
// check
template <typename C> ll find(ll st, C &check) {
T acc = ti;
return find(st, check, acc, 1, 0, n);
}
//
// @param l
// @param check
// @return check(query(l,r)) r
int max_right(int l, const function<bool(T)> &check) {
assert(0 <= l && l <= nn);
assert(check(ti));
if (l == nn) return nn;
l += n;
for (int i = height; i >= 1; i--) propagate(l >> i);
T sm = ti;
do {
while (l % 2 == 0) l >>= 1;
if (!check(f(sm, dat[l]))) {
while (l < n) {
propagate(l);
l = (2 * l);
if (check(f(sm, dat[l]))) {
sm = f(sm, dat[l]);
l++;
}
}
return l - n;
}
sm = f(sm, dat[l]);
l++;
} while ((l & -l) != l);
return nn;
}
//
// @param r
// @param check
// @return check(query(l,r)) l
int min_left(int r, const function<bool(T)> &check) {
assert(0 <= r && r <= nn);
assert(check(ti));
if (r == 0) return 0;
r += n;
for (int i = height; i >= 1; i--) propagate((r - 1) >> i);
T sm = ti;
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!check(f(dat[r], sm))) {
while (r < n) {
propagate(r);
r = (2 * r + 1);
if (check(f(dat[r], sm))) {
sm = f(dat[r], sm);
r--;
}
}
return r + 1 - n;
}
sm = f(dat[r], sm);
} while ((r & -r) != r);
return 0;
}
//
void _dump() {
REP(k, 0, nn) {
T val = query(k, k + 1);
cout << val << (k == nn - 1 ? '\n' : ' ');
}
}
};
/* #endregion */
/* #region mint */
// MOD
struct mint {
ll x;
mint(ll x = 0) : x((x % MOD + MOD) % MOD) {}
mint &operator+=(const mint a) {
if ((x += a.x) >= MOD) x -= MOD;
return *this;
}
mint &operator-=(const mint a) {
if ((x += MOD - a.x) >= MOD) x -= MOD;
return *this;
}
mint &operator*=(const mint a) {
(x *= a.x) %= MOD;
return *this;
}
mint operator+(const mint a) const {
mint res(*this);
return res += a;
}
mint operator-(const mint a) const {
mint res(*this);
return res -= a;
}
mint operator*(const mint a) const {
mint res(*this);
return res *= a;
}
// O(log(t))
mint pow_rec(ll t) const {
if (!t) return 1;
mint a = pow(t >> 1); // ⌊t/2⌋
a *= a; // ⌊t/2⌋*2
if (t & 1) // ⌊t/2⌋*2 == t-1
a *= *this; // ⌊t/2⌋*2+1 => t
return a;
}
mint pow(ll t) const {
mint a(*this);
mint res = 1;
while (t) {
if (t & 1) res *= a;
t >>= 1, a *= a;
}
return res;
}
// for prime mod
mint inv_prime() const {
return pow(MOD - 2); // x^(-1) ≡ x^(p-2)
}
mint inv() const {
ll a = this->x, b = MOD, u = 1, v = 0, t;
mint res;
while (b) {
t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
if (u < 0) u += MOD;
res = u;
return res;
}
mint &operator/=(const mint a) { return (*this) *= a.inv(); }
mint operator/(const mint a) const {
mint res(*this);
return res /= a;
}
bool operator==(const mint a) const { return this->x == a.x; }
bool operator==(const ll a) const { return this->x == a; }
// mint
friend istream &operator>>(istream &is, mint &x) {
is >> x.x;
return is;
}
// mint
friend ostream &operator<<(ostream &os, mint x) {
os << x.x;
return os;
}
};
/* #endregion */
/* #region Mat */
// ==, !=, [] array
template <class Num, size_t H, size_t W> class Mat : public array<array<Num, W>, H> {
public:
Mat<Num, H, W>() : array<array<Num, W>, H>() { fill(0); }
Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
int i = 0;
for (auto iter = init.begin(); iter != init.end(); ++iter) (*this)[i++] = array<Num, W>(*iter);
}
//
Mat<Num, H, W> &operator+=(const Mat<Num, H, W> &another) {
REP(i, 0, H) REP(j, 0, W)(*this)[i][j] += another[i][j];
return *this;
}
//
Mat<Num, H, W> &operator-=(const Mat<Num, H, W> &another) {
REP(i, 0, H) REP(j, 0, W)(*this)[i][j] -= another[i][j];
return *this;
}
//
// template <size_t AW> Mat<Num, H, AW> &operator*=(const Mat<Num, W, AW> &another) {
// Mat<Num, H, AW> ret = {};
// REP(i, 0, H) REP(j, 0, AW) REP(k, 0, W) ret[i][j] += (*this)[i][k] * another[k][j];
// *this = ret;
// return *this;
// }
//
Mat<Num, H, W> &operator*=(const Mat<Num, W, W> &another) {
Mat<Num, H, W> ret = (*this) * another;
*this = ret;
return *this;
}
//
Mat<Num, H, W> operator+(const Mat<Num, H, W> &another) const {
Mat<Num, H, W> ret(*this);
return ret += another;
}
//
Mat<Num, H, W> operator-(const Mat<Num, H, W> &another) const {
Mat<Num, H, W> ret(*this);
return ret -= another;
}
//
template <size_t AW> Mat<Num, H, AW> operator*(const Mat<Num, W, AW> &another) const {
// Mat<Num, H, AW> ret(*this);
// return ret *= another;
Mat<Num, H, AW> ret = {};
REP(i, 0, H) REP(j, 0, AW) REP(k, 0, W) ret[i][j] += (*this)[i][k] * another[k][j];
return ret;
}
// n
Mat<Num, H, W> pow(ll n) const {
assert(H == W);
Mat<Num, H, W> ret = {};
Mat<Num, H, W> a(*this);
REP(i, 0, H) ret[i][i] = 1;
while (n) {
if (n & 1) ret = a * ret;
a = a * a, n >>= 1;
}
return ret;
}
// 1
Mat<Num, H, W> norm() const {
array<Num, W> s = {};
Mat<Num, H, W> a(*this);
REP(i, 0, H) REP(j, 0, W) s[j] += a[i][j];
REP(i, 0, H) REP(j, 0, W) a[i][j] /= s[j];
return a;
}
// n 1
Mat<Num, H, W> pow_norm(ll n) const {
assert(H == W);
Mat<Num, H, W> ret = {};
Mat<Num, H, W> a(*this);
REP(i, 0, H) ret[i][i] = 1;
while (n) {
if (n & 1) ret = (a * ret).norm();
a = (a * a).norm(), n >>= 1;
}
return ret;
}
template <class... T> Mat<Num, H, W> assign(T... nums) {
vc<Num> num_list = vc<Num>{nums...};
assert(SIZE(num_list) == H * W);
REP(i, 0, H) REP(j, 0, W)(*this)[i][j] = num_list[W * i + j];
return *this;
}
void fill(Num num) { REP(i, 0, H) REP(j, 0, W)(*this)[i][j] = num; }
void print() { REP(i, 0, H) REP(j, 0, W) cout << (*this)[i][j] << (j == W - 1 ? '\n' : ' '); }
void dump_col(ll j) { REP(i, 0, H) cout << (*this)[i][j] << (i == H - 1 ? '\n' : ' '); }
};
/* #endregion */
// Problem
void solve() {
using mat = Mat<mint, 2, 2>;
VAR(ll, n);
vll a(n - 1), b(n - 1);
REP(i, 0, n - 1) cin >> a[i] >> b[i];
Graph<> graph(n);
REP(i, 0, n - 1) graph.add_edge(a[i], b[i]);
HeavyLightDecomposition<> hld(graph);
hld.build();
// segtree
using T = pair<ll, mat>; // (, )
using E = pair<ll, mat>; // ()
auto f = [](T a, T b) -> T { //
return {a.first + b.first, a.second * b.second};
};
auto g = [](T a, E b) -> T { //
return {a.first, b.second.pow(a.first)};
};
auto h = [](E a, E b) -> E {
if (a.first > b.first) return a;
return b;
};
T ti = {0, {{1, 0}, {0, 1}}}; //
E ei = {0, {{1, 0}, {0, 1}}}; //
LazySegmentTree<T, E> seg(f, g, h, ti, ei);
// seg.init(n); // ti
vc<T> data(n);
REP(i, 0, n) data[i] = {1, {{1, 0}, {0, 1}}};
seg.build(data);
ll gen = 0;
auto query = [&](int a, int b) -> T { return seg.query(a, b); };
VAR(ll, q);
REP(k, 0, q) {
VAR(char, xg);
if (xg == 'x') {
VAR(ll, i);
VAR(mint, x00, x01, x10, x11);
mat val = {{x00, x01}, {x10, x11}};
gen++;
auto update = [&](int a, int b) -> void { seg.update(a, b, {gen, val}); };
hld.update(a[i], b[i], update, true);
} else {
VAR(ll, i, j);
T result = hld.query(i, j, ti, query, f, true);
// dump(result.first);
mat m = result.second;
pprint(m[0][0], m[0][1], m[1][0], m[1][1]);
}
}
}
// entry point
int main() {
solve();
return 0;
}
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