結果
| 問題 | No.749 クエリ全部盛り |
| ユーザー |
 maspy
|
| 提出日時 | 2022-04-30 20:38:33 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 877 ms / 3,000 ms |
| コード長 | 23,815 bytes |
| コンパイル時間 | 2,683 ms |
| コンパイル使用メモリ | 222,380 KB |
| 実行使用メモリ | 55,828 KB |
| 最終ジャッジ日時 | 2024-06-30 01:14:45 |
| 合計ジャッジ時間 | 8,017 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge1 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
5,248 KB |
| testcase_01 | AC | 2 ms
5,248 KB |
| testcase_02 | AC | 2 ms
5,376 KB |
| testcase_03 | AC | 2 ms
5,376 KB |
| testcase_04 | AC | 2 ms
5,376 KB |
| testcase_05 | AC | 3 ms
5,376 KB |
| testcase_06 | AC | 3 ms
5,376 KB |
| testcase_07 | AC | 3 ms
5,376 KB |
| testcase_08 | AC | 3 ms
5,376 KB |
| testcase_09 | AC | 3 ms
5,376 KB |
| testcase_10 | AC | 18 ms
5,376 KB |
| testcase_11 | AC | 18 ms
5,376 KB |
| testcase_12 | AC | 17 ms
5,376 KB |
| testcase_13 | AC | 17 ms
5,376 KB |
| testcase_14 | AC | 17 ms
5,376 KB |
| testcase_15 | AC | 877 ms
55,808 KB |
| testcase_16 | AC | 868 ms
55,728 KB |
| testcase_17 | AC | 860 ms
55,776 KB |
| testcase_18 | AC | 857 ms
55,768 KB |
| testcase_19 | AC | 854 ms
55,828 KB |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pi = pair<ll, ll>;
using vi = vector<ll>;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
#define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_))
#define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i))
#define FOR3(i, m, n) for (ll i = (m); (i) < (ll)(n); ++(i))
#define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i))
#define FOR3_R(i, m, n) for (ll i = (ll)(n)-1; (i) >= (ll)(m); --(i))
#define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
template <typename T>
T SUM(vector<T> &A) {
T sum = T(0);
for (auto &&a: A) sum += a;
return sum;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
ll binary_search(function<bool(ll)> check, ll ok, ll ng) {
assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
if (check(x))
ok = x;
else
ng = x;
}
return ok;
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
vi s_to_vi(const string& S, char first_char) {
vi A(S.size());
FOR(i, S.size()) { A[i] = S[i] - first_char; }
return A;
}
template <typename T>
vector<T> cumsum(vector<T> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
template <typename CNT, typename T>
vc<CNT> bincount(const vc<T> &A, int size) {
vc<CNT> C(size);
for (auto &&x: A) { ++C[x]; }
return C;
}
template <typename T>
vector<int> argsort(const vector<T> &A) {
// stable
vector<int> ids(A.size());
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
int n = len(A);
assert(len(I) == n);
vc<T> B(n);
FOR(i, n) B[i] = A[I[i]];
return B;
}
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace detail {
template <typename T, decltype(&T::is_modint) = &T::is_modint>
std::true_type check_value(int);
template <typename T>
std::false_type check_value(long);
} // namespace detail
template <typename T>
struct is_modint : decltype(detail::check_value<T>(0)) {};
template <typename T>
using is_modint_t = enable_if_t<is_modint<T>::value>;
template <typename T>
using is_not_modint_t = enable_if_t<!is_modint<T>::value>;
struct Scanner {
FILE *fp;
char line[(1 << 15) + 1];
size_t st = 0, ed = 0;
void reread() {
memmove(line, line + st, ed - st);
ed -= st;
st = 0;
ed += fread(line + ed, 1, (1 << 15) - ed, fp);
line[ed] = '\0';
}
bool succ() {
while (true) {
if (st == ed) {
reread();
if (st == ed) return false;
}
while (st != ed && isspace(line[st])) st++;
if (st != ed) break;
}
if (ed - st <= 50) {
bool sep = false;
for (size_t i = st; i < ed; i++) {
if (isspace(line[i])) {
sep = true;
break;
}
}
if (!sep) reread();
}
return true;
}
template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
while (true) {
size_t sz = 0;
while (st + sz < ed && !isspace(line[st + sz])) sz++;
ref.append(line + st, sz);
st += sz;
if (!sz || st != ed) break;
reread();
}
return true;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
ref = T(0);
while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
if (neg) ref = -ref;
return true;
}
template <class T, is_modint_t<T> * = nullptr>
bool read_single(T &ref) {
long long val = 0;
bool f = read_single(val);
ref = T(val);
return f;
}
bool read_single(double &ref) {
string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
bool read_single(char &ref) {
string s;
if (!read_single(s) || s.size() != 1) return false;
ref = s[0];
return true;
}
template <class T>
bool read_single(vector<T> &ref) {
for (auto &d: ref) {
if (!read_single(d)) return false;
}
return true;
}
template <class T, class U>
bool read_single(pair<T, U> &p) {
return (read_single(p.first) && read_single(p.second));
}
template <class A, class B, class C>
bool read_single(tuple<A, B, C> &p) {
return (read_single(get<0>(p)) && read_single(get<1>(p))
&& read_single(get<2>(p)));
}
template <class A, class B, class C, class D>
bool read_single(tuple<A, B, C, D> &p) {
return (read_single(get<0>(p)) && read_single(get<1>(p))
&& read_single(get<2>(p)) && read_single(get<3>(p)));
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
Scanner(FILE *fp) : fp(fp) {}
};
struct Printer {
Printer(FILE *_fp) : fp(_fp) {}
~Printer() { flush(); }
static constexpr size_t SIZE = 1 << 15;
FILE *fp;
char line[SIZE], small[50];
size_t pos = 0;
void flush() {
fwrite(line, 1, pos, fp);
pos = 0;
}
void write(const char &val) {
if (pos == SIZE) flush();
line[pos++] = val;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void write(T val) {
if (pos > (1 << 15) - 50) flush();
if (val == 0) {
write('0');
return;
}
if (val < 0) {
write('-');
val = -val; // todo min
}
size_t len = 0;
while (val) {
small[len++] = char(0x30 | (val % 10));
val /= 10;
}
for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
pos += len;
}
void write(const string &s) {
for (char c: s) write(c);
}
void write(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) write(s[i]);
}
void write(const double &x) {
ostringstream oss;
oss << setprecision(15) << x;
string s = oss.str();
write(s);
}
void write(const long double &x) {
ostringstream oss;
oss << setprecision(15) << x;
string s = oss.str();
write(s);
}
template <class T, is_modint_t<T> * = nullptr>
void write(T &ref) {
write(ref.val);
}
template <class T>
void write(const vector<T> &val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
template <class T, class U>
void write(const pair<T, U> &val) {
write(val.first);
write(' ');
write(val.second);
}
template <class A, class B, class C>
void write(const tuple<A, B, C> &val) {
auto &[a, b, c] = val;
write(a), write(' '), write(b), write(' '), write(c);
}
template <class A, class B, class C, class D>
void write(const tuple<A, B, C, D> &val) {
auto &[a, b, c, d] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d);
}
template <class A, class B, class C, class D, class E>
void write(const tuple<A, B, C, D, E> &val) {
auto &[a, b, c, d, e] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e);
}
template <class A, class B, class C, class D, class E, class F>
void write(const tuple<A, B, C, D, E, F> &val) {
auto &[a, b, c, d, e, f] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e), write(' '), write(f);
}
template <class T, size_t S>
void write(const array<T, S> &val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
void write(i128 val) {
string s;
bool negative = 0;
if(val < 0){
negative = 1;
val = -val;
}
while (val) {
s += '0' + int(val % 10);
val /= 10;
}
if(negative) s += "-";
reverse(all(s));
if (len(s) == 0) s = "0";
write(s);
}
};
Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);
void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
printer.write(head);
if (sizeof...(Tail)) printer.write(' ');
print(forward<Tail>(tail)...);
}
void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
scanner.read(head);
read(tail...);
}
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
read(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
read(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
read(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 2 "/home/maspy/compro/library/mod/modint.hpp"
template <u32 mod>
struct modint {
static constexpr bool is_modint = true;
u32 val;
constexpr modint(const ll val = 0) noexcept
: val(val >= 0 ? val % mod : (mod - (-val) % mod) % mod) {}
bool operator<(const modint &other) const {
return val < other.val;
} // To use std::map
modint &operator+=(const modint &p) {
if ((val += p.val) >= mod) val -= mod;
return *this;
}
modint &operator-=(const modint &p) {
if ((val += mod - p.val) >= mod) val -= mod;
return *this;
}
modint &operator*=(const modint &p) {
val = (u32)(1LL * val * p.val % mod);
return *this;
}
modint &operator/=(const modint &p) {
*this *= p.inverse();
return *this;
}
modint operator-() const { return modint(get_mod() - val); }
modint operator+(const modint &p) const { return modint(*this) += p; }
modint operator-(const modint &p) const { return modint(*this) -= p; }
modint operator*(const modint &p) const { return modint(*this) *= p; }
modint operator/(const modint &p) const { return modint(*this) /= p; }
bool operator==(const modint &p) const { return val == p.val; }
bool operator!=(const modint &p) const { return val != p.val; }
modint inverse() const {
int a = val, b = mod, u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b), swap(u -= t * v, v);
}
return modint(u);
}
modint pow(int64_t n) const {
modint ret(1), mul(val);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
static constexpr u32 get_mod() { return mod; }
};
struct ArbitraryModInt {
static constexpr bool is_modint = true;
u32 val;
ArbitraryModInt() : val(0) {}
ArbitraryModInt(int64_t y)
: val(y >= 0 ? y % get_mod()
: (get_mod() - (-y) % get_mod()) % get_mod()) {}
bool operator<(const ArbitraryModInt &other) const {
return val < other.val;
} // To use std::map<ArbitraryModInt, T>
static u32 &get_mod() {
static u32 mod = 0;
return mod;
}
static void set_mod(int md) { get_mod() = md; }
ArbitraryModInt &operator+=(const ArbitraryModInt &p) {
if ((val += p.val) >= get_mod()) val -= get_mod();
return *this;
}
ArbitraryModInt &operator-=(const ArbitraryModInt &p) {
if ((val += get_mod() - p.val) >= get_mod()) val -= get_mod();
return *this;
}
ArbitraryModInt &operator*=(const ArbitraryModInt &p) {
unsigned long long a = (unsigned long long)val * p.val;
unsigned xh = (unsigned)(a >> 32), xl = (unsigned)a, d, m;
asm("divl %4; \n\t" : "=a"(d), "=d"(m) : "d"(xh), "a"(xl), "r"(get_mod()));
val = m;
return *this;
}
ArbitraryModInt &operator/=(const ArbitraryModInt &p) {
*this *= p.inverse();
return *this;
}
ArbitraryModInt operator-() const { return ArbitraryModInt(get_mod() - val); }
ArbitraryModInt operator+(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) += p;
}
ArbitraryModInt operator-(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) -= p;
}
ArbitraryModInt operator*(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) *= p;
}
ArbitraryModInt operator/(const ArbitraryModInt &p) const {
return ArbitraryModInt(*this) /= p;
}
bool operator==(const ArbitraryModInt &p) const { return val == p.val; }
bool operator!=(const ArbitraryModInt &p) const { return val != p.val; }
ArbitraryModInt inverse() const {
int a = val, b = get_mod(), u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b), swap(u -= t * v, v);
}
return ArbitraryModInt(u);
}
ArbitraryModInt pow(int64_t n) const {
ArbitraryModInt ret(1), mul(val);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
};
template <typename mint>
tuple<mint, mint, mint> get_factorial_data(int n) {
static constexpr int mod = mint::get_mod();
assert(0 <= n && n < mod);
static vector<mint> fact = {1, 1};
static vector<mint> fact_inv = {1, 1};
static vector<mint> inv = {0, 1};
while (len(fact) <= n) {
int k = len(fact);
fact.eb(fact[k - 1] * mint(k));
auto q = ceil(mod, k);
int r = k * q - mod;
inv.eb(inv[r] * mint(q));
fact_inv.eb(fact_inv[k - 1] * inv[k]);
}
return {fact[n], fact_inv[n], inv[n]};
}
template <typename mint>
mint fact(int n) {
static constexpr int mod = mint::get_mod();
assert(0 <= n);
if (n >= mod) return 0;
return get<0>(get_factorial_data<mint>(n));
}
template <typename mint>
mint fact_inv(int n) {
static constexpr int mod = mint::get_mod();
assert(0 <= n && n < mod);
return get<1>(get_factorial_data<mint>(n));
}
template <typename mint>
mint inv(int n) {
static constexpr int mod = mint::get_mod();
assert(0 <= n && n < mod);
return get<2>(get_factorial_data<mint>(n));
}
template <typename mint, bool large = false>
mint C(ll n, ll k) {
assert(n >= 0);
if (k < 0 || n < k) return 0;
if (!large) return fact<mint>(n) * fact_inv<mint>(k) * fact_inv<mint>(n - k);
k = min(k, n - k);
mint x(1);
FOR(i, k) { x *= mint(n - i); }
x *= fact_inv<mint>(k);
return x;
}
template <typename mint, bool large = false>
mint C_inv(ll n, ll k) {
assert(n >= 0);
assert(0 <= k && k <= n);
if (!large) return fact_inv<mint>(n) * fact<mint>(k) * fact<mint>(n - k);
return mint(1) / C<mint, 1>(n, k);
}
using modint107 = modint<1000000007>;
using modint998 = modint<998244353>;
using amint = ArbitraryModInt;
#line 2 "/home/maspy/compro/library/ds/lazysegtree.hpp"
template <typename Lazy>
struct LazySegTree {
using Monoid_X = typename Lazy::X_structure;
using Monoid_A = typename Lazy::A_structure;
using X = typename Monoid_X::value_type;
using A = typename Monoid_A::value_type;
int n, log, size;
vc<X> dat;
vc<A> laz;
LazySegTree() : LazySegTree(0) {}
LazySegTree(int n) : LazySegTree(vc<X>(n, Monoid_X::unit())) {}
LazySegTree(vc<X> v) : n(len(v)) {
log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
dat.assign(size << 1, Monoid_X::unit());
laz.assign(size, Monoid_A::unit());
FOR(i, n) dat[size + i] = v[i];
FOR3_R(i, 1, size) update(i);
}
void reset() {
fill(all(dat), Monoid_X::unit());
fill(all(laz), Monoid_A::unit());
}
void reset(const vc<X>& v) {
assert(len(v) == n);
reset();
FOR(i, n) dat[size + i] = v[i];
FOR3_R(i, 1, size) update(i);
}
void update(int k) { dat[k] = Monoid_X::op(dat[2 * k], dat[2 * k + 1]); }
void all_apply(int k, A a) {
dat[k] = Lazy::act(dat[k], a);
if (k < size) laz[k] = Monoid_A::op(laz[k], a);
}
void push(int k) {
all_apply(2 * k, laz[k]);
all_apply(2 * k + 1, laz[k]);
laz[k] = Monoid_A::unit();
}
void set(int p, X x) {
assert(0 <= p && p < n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
dat[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
X get(int p) {
assert(0 <= p && p < n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return dat[p];
}
vc<X> get_all() {
FOR(i, size) push(i);
return {dat.begin() + size, dat.begin() + size + n};
}
X prod(int l, int r) {
assert(0 <= l && l <= r && r <= n);
if (l == r) return Monoid_X::unit();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
X xl = Monoid_X::unit(), xr = Monoid_X::unit();
while (l < r) {
if (l & 1) xl = Monoid_X::op(xl, dat[l++]);
if (r & 1) xr = Monoid_X::op(dat[--r], xr);
l >>= 1;
r >>= 1;
}
return Monoid_X::op(xl, xr);
}
X prod_all() { return dat[1]; }
void apply(int p, A a) {
assert(0 <= p && p < n);
p += size;
dat[p] = Lazy::act(dat[p], a);
for (int i = 1; i <= log; i++) update(p >> i);
}
void apply(int l, int r, A a) {
assert(0 <= l && l <= r && r <= n);
if (l == r) return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1) all_apply(l++, a);
if (r & 1) all_apply(--r, a);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l) update(l >> i);
if (((r >> i) << i) != r) update((r - 1) >> i);
}
}
template <typename C>
int max_right(C& check, int l) {
assert(0 <= l && l <= n);
assert(check(Monoid_X::unit()));
if (l == n) return n;
l += size;
for (int i = log; i >= 1; i--) push(l >> i);
X sm = Monoid_X::unit();
do {
while (l % 2 == 0) l >>= 1;
if (!check(Monoid_X::op(sm, dat[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (check(Monoid_X::op(sm, dat[l]))) {
sm = Monoid_X::op(sm, dat[l]);
l++;
}
}
return l - size;
}
sm = Monoid_X::op(sm, dat[l]);
l++;
} while ((l & -l) != l);
return n;
}
template <typename C>
int min_left(C& check, int r) {
assert(0 <= r && r <= n);
assert(check(Monoid_X::unit()));
if (r == 0) return 0;
r += size;
for (int i = log; i >= 1; i--) push((r - 1) >> i);
X sm = Monoid_X::unit();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!check(Monoid_X::op(dat[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (check(Monoid_X::op(dat[r], sm))) {
sm = Monoid_X::op(dat[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = Monoid_X::op(dat[r], sm);
} while ((r & -r) != r);
return 0;
}
void debug() { print("lazysegtree getall:", get_all()); }
};
#line 5 "main.cpp"
using mint = modint107;
// (a,cnt,fsum)
struct MonoX {
using value_type = tuple<mint, mint, mint>;
using X = value_type;
static X op(X x, X y) {
auto [a, b, c] = x;
auto [d, e, f] = y;
return {a + d, b + e, c + f};
}
static constexpr X unit() { return {mint(0), mint(0), mint(0)}; }
static constexpr bool commute = true;
};
// pa + q + rf, f
struct MonoA {
using value_type = tuple<mint, mint, mint>;
using X = value_type;
static X op(X x, X y) {
auto [a, b, c] = y;
auto [d, e, f] = x;
return {a * d, a * e + b, a * f + c};
}
static constexpr X unit() { return {mint(1), mint(0), mint(0)}; }
static constexpr bool commute = true;
};
struct Lazy {
using MX = MonoX;
using MA = MonoA;
using X_structure = MX;
using A_structure = MA;
using X = typename MX::value_type;
using A = typename MA::value_type;
static X act(const X &x, const A &a) {
auto [sum, cnt, fsum] = x;
auto [p, q, r] = a;
return {p * sum + q * cnt + r * fsum, cnt, fsum};
}
};
void solve() {
LL(N, Q);
vc<mint> F(N);
F[1] = 1;
FOR3(i, 2, N) F[i] = F[i - 2] + F[i - 1];
LazySegTree<Lazy> seg(N);
FOR(i, N) seg.set(i, {mint(0), mint(1), F[i]});
FOR_(Q) {
LL(t, L, R, k);
mint mk = k;
++R;
if (t == 0) {
auto [sum, cnt, fsum] = seg.prod(L, R);
print(sum * mk);
}
if (t == 1) { seg.apply(L, R, {mint(0), mk, mint(0)}); }
if (t == 2) { seg.apply(L, R, {mint(1), mk, mint(0)}); }
if (t == 3) { seg.apply(L, R, {mk, mint(0), mint(0)}); }
if (t == 4) { seg.apply(L, R, {mint(1), mint(0), mk}); }
}
}
signed main() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << setprecision(15);
ll T = 1;
// LL(T);
FOR(_, T) solve();
return 0;
}