結果

問題 No.1549 [Cherry 2nd Tune] BANning Tuple
ユーザー nok0
提出日時 2021-06-11 21:43:10
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 205 ms / 4,000 ms
コード長 21,492 bytes
コンパイル時間 6,116 ms
コンパイル使用メモリ 289,820 KB
最終ジャッジ日時 2025-01-22 05:39:28
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 20
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘void scanner::scan(char*)’:
main.cpp:113:33: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  113 | void scan(char a[]) { std::scanf("%s", a); }
      |                       ~~~~~~~~~~^~~~~~~~~

ソースコード

diff #
プレゼンテーションモードにする

/**
* author: nok0
* created: 2021.06.11 21:32:55
**/
#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif
#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
#pragma region Macros
// rep macro
#define foa(v, a) for(auto &v : a)
#define REPname(a, b, c, d, e, ...) e
#define REP(...) REPname(__VA_ARGS__, REP3, REP2, REP1, REP0)(__VA_ARGS__)
#define REP0(x) for(int i = 0; i < (x); ++i)
#define REP1(i, x) for(int i = 0; i < (x); ++i)
#define REP2(i, l, r) for(int i = (l); i < (r); ++i)
#define REP3(i, l, r, c) for(int i = (l); i < (r); i += (c))
#define REPSname(a, b, c, ...) c
#define REPS(...) REPSname(__VA_ARGS__, REPS1, REPS0)(__VA_ARGS__)
#define REPS0(x) for(int i = 1; i <= (x); ++i)
#define REPS1(i, x) for(int i = 1; i <= (x); ++i)
#define RREPname(a, b, c, d, e, ...) e
#define RREP(...) RREPname(__VA_ARGS__, RREP3, RREP2, RREP1, RREP0)(__VA_ARGS__)
#define RREP0(x) for(int i = (x)-1; i >= 0; --i)
#define RREP1(i, x) for(int i = (x)-1; i >= 0; --i)
#define RREP2(i, r, l) for(int i = (r)-1; i >= (l); --i)
#define RREP3(i, r, l, c) for(int i = (r)-1; i >= (l); i -= (c))
#define RREPSname(a, b, c, ...) c
#define RREPS(...) RREPSname(__VA_ARGS__, RREPS1, RREPS0)(__VA_ARGS__)
#define RREPS0(x) for(int i = (x); i >= 1; --i)
#define RREPS1(i, x) for(int i = (x); i >= 1; --i)
// name macro
#define pb push_back
#define eb emplace_back
#define SZ(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define popcnt(x) __builtin_popcountll(x)
template <class T = int>
using V = std::vector<T>;
template <class T = int>
using VV = std::vector<std::vector<T>>;
template <class T>
using pqup = std::priority_queue<T, std::vector<T>, std::greater<T>>;
using ll = long long;
using ld = long double;
using int128 = __int128_t;
using pii = std::pair<int, int>;
using pll = std::pair<long long, long long>;
// input macro
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
for(T &i : v) is >> i;
return is;
}
std::istream &operator>>(std::istream &is, __int128_t &a) {
std::string s;
is >> s;
__int128_t ret = 0;
for(int i = 0; i < s.length(); i++)
if('0' <= s[i] and s[i] <= '9')
ret = 10 * ret + s[i] - '0';
a = ret * (s[0] == '-' ? -1 : 1);
return is;
}
#if __has_include(<atcoder/all>)
std::istream &operator>>(std::istream &is, atcoder::modint998244353 &a) {
long long v;
is >> v;
a = v;
return is;
}
std::istream &operator>>(std::istream &is, atcoder::modint1000000007 &a) {
long long v;
is >> v;
a = v;
return is;
}
template <int m>
std::istream &operator>>(std::istream &is, atcoder::static_modint<m> &a) {
long long v;
is >> v;
a = v;
return is;
}
template <int m>
std::istream &operator>>(std::istream &is, atcoder::dynamic_modint<m> &a) {
long long v;
is >> v;
a = v;
return is;
}
#endif
namespace scanner {
void scan(int &a) { std::cin >> a; }
void scan(long long &a) { std::cin >> a; }
void scan(std::string &a) { std::cin >> a; }
void scan(char &a) { std::cin >> a; }
void scan(char a[]) { std::scanf("%s", a); }
void scan(double &a) { std::cin >> a; }
void scan(long double &a) { std::cin >> a; }
template <class T, class U>
void scan(std::pair<T, U> &p) { std::cin >> p; }
template <class T>
void scan(std::vector<T> &a) { std::cin >> a; }
void INPUT() {}
template <class Head, class... Tail>
void INPUT(Head &head, Tail &... tail) {
scan(head);
INPUT(tail...);
}
} // namespace scanner
#define VEC(type, name, size) \
std::vector<type> name(size); \
scanner::INPUT(name)
#define VVEC(type, name, h, w) \
std::vector<std::vector<type>> name(h, std::vector<type>(w)); \
scanner::INPUT(name)
#define INT(...) \
int __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define LL(...) \
long long __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define STR(...) \
std::string __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define DOUBLE(...) \
double __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define LD(...) \
long double __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
// output-macro
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &a) {
for(int i = 0; i < int(a.size()); ++i) {
if(i) os << " ";
os << a[i];
}
return os;
}
std::ostream &operator<<(std::ostream &dest, __int128_t &value) {
std::ostream::sentry s(dest);
if(s) {
__uint128_t tmp = value < 0 ? -value : value;
char buffer[128];
char *d = std::end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while(tmp != 0);
if(value < 0) {
--d;
*d = '-';
}
int len = std::end(buffer) - d;
if(dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(std::ios_base::badbit);
}
}
return dest;
}
#if __has_include(<atcoder/all>)
std::ostream &operator<<(std::ostream &os, const atcoder::modint998244353 &a) { return os << a.val(); }
std::ostream &operator<<(std::ostream &os, const atcoder::modint1000000007 &a) { return os << a.val(); }
template <int m>
std::ostream &operator<<(std::ostream &os, const atcoder::static_modint<m> &a) { return os << a.val(); }
template <int m>
std::ostream &operator<<(std::ostream &os, const atcoder::dynamic_modint<m> &a) { return os << a.val(); }
#endif
template <class T>
void print(const T a) { std::cout << a << '\n'; }
template <class Head, class... Tail>
void print(Head H, Tail... T) {
std::cout << H << ' ';
print(T...);
}
template <class T>
void printel(const T a) { std::cout << a << '\n'; }
template <class T>
void printel(const std::vector<T> &a) {
for(const auto &v : a)
std::cout << v << '\n';
}
template <class Head, class... Tail>
void printel(Head H, Tail... T) {
std::cout << H << '\n';
printel(T...);
}
void Yes(const bool b = true) { std::cout << (b ? "Yes\n" : "No\n"); }
void No() { std::cout << "No\n"; }
void YES(const bool b = true) { std::cout << (b ? "YES\n" : "NO\n"); }
void NO() { std::cout << "NO\n"; }
void err(const bool b = true) {
if(b) {
std::cout << "-1\n", exit(0);
}
}
//debug macro
namespace debugger {
template <class T>
void view(const std::vector<T> &a) {
std::cerr << "{ ";
for(const auto &v : a) {
std::cerr << v << ", ";
}
std::cerr << "\b\b }";
}
template <class T>
void view(const std::vector<std::vector<T>> &a) {
std::cerr << "{\n";
for(const auto &v : a) {
std::cerr << "\t";
view(v);
std::cerr << "\n";
}
std::cerr << "}";
}
template <class T, class U>
void view(const std::vector<std::pair<T, U>> &a) {
std::cerr << "{\n";
for(const auto &p : a) std::cerr << "\t(" << p.first << ", " << p.second << ")\n";
std::cerr << "}";
}
template <class T, class U>
void view(const std::map<T, U> &m) {
std::cerr << "{\n";
for(const auto &p : m) std::cerr << "\t[" << p.first << "] : " << p.second << "\n";
std::cerr << "}";
}
template <class T, class U>
void view(const std::pair<T, U> &p) { std::cerr << "(" << p.first << ", " << p.second << ")"; }
template <class T>
void view(const std::set<T> &s) {
std::cerr << "{ ";
for(auto &v : s) {
view(v);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <class T>
void view(const T &e) { std::cerr << e; }
} // namespace debugger
#ifdef LOCAL
void debug_out() {}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
debugger::view(H);
std::cerr << ", ";
debug_out(T...);
}
#define debug(...) \
do { \
std::cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \
debug_out(__VA_ARGS__); \
std::cerr << "\b\b]\n"; \
} while(false)
#else
#define debug(...) (void(0))
#endif
// vector macro
template <class T>
int lb(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::lower_bound((a).begin(), (a).end(), (x))); }
template <class T>
int ub(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::upper_bound((a).begin(), (a).end(), (x))); }
template <class T>
void UNIQUE(std::vector<T> &a) {
std::sort(a.begin(), a.end());
a.erase(std::unique(a.begin(), a.end()), a.end());
}
template <class T>
std::vector<T> press(std::vector<T> &a) {
auto res = a;
UNIQUE(res);
for(auto &v : a)
v = lb(res, v);
return res;
}
#define SORTname(a, b, c, ...) c
#define SORT(...) SORTname(__VA_ARGS__, SORT1, SORT0, ...)(__VA_ARGS__)
#define SORT0(a) std::sort((a).begin(), (a).end())
#define SORT1(a, c) std::sort((a).begin(), (a).end(), [](const auto x, const auto y) { return x c y; })
template <class T>
void ADD(std::vector<T> &a, const T x) {
for(auto &v : a) v += x;
}
template <class T>
void SUB(std::vector<T> &a, const T x = 1) {
for(auto &v : a) v -= x;
}
template <class T>
void MUL(std::vector<T> &a, const T x) {
for(auto &v : a) v *= x;
}
template <class T>
void DIV(std::vector<T> &a, const T x) {
for(auto &v : a) v /= x;
}
// math macro
template <class T, class U>
inline bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; }
template <class T, class U>
inline bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; }
template <class T>
T divup(T x, T y) { return (x + y - 1) / y; }
template <class T>
T POW(T a, long long n) {
T ret = 1;
while(n) {
if(n & 1) ret *= a;
a *= a;
n >>= 1;
}
return ret;
}
// modpow
long long POW(long long a, long long n, const int mod) {
long long ret = 1;
while(n) {
if(n & 1) (ret *= a) %= mod;
(a *= a) %= mod;
n >>= 1;
}
return ret;
}
// others
struct fast_io {
fast_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(15);
}
} fast_io_;
const int inf = 1e9;
const ll INF = 1e18;
#pragma endregion
#pragma region Math Formal Power Series
enum Mode {
FAST = 1,
NAIVE = -1,
};
template <class T, Mode mode = FAST>
struct FormalPowerSeries : std::vector<T> {
using std::vector<T>::vector;
using std::vector<T>::size;
using std::vector<T>::resize;
using std::vector<T>::begin;
using std::vector<T>::insert;
using std::vector<T>::erase;
using F = FormalPowerSeries;
using S = std::vector<std::pair<int, T>>;
F &operator+=(const F &g) {
for(int i = 0; i < int(std::min((*this).size(), g.size())); i++) (*this)[i] += g[i];
return *this;
}
F &operator+=(const T &t) {
assert(int((*this).size()));
(*this)[0] += t;
return *this;
}
F &operator-=(const F &g) {
for(int i = 0; i < int(std::min((*this).size(), g.size())); i++) (*this)[i] -= g[i];
return *this;
}
F &operator-=(const T &t) {
assert(int((*this).size()));
(*this)[0] -= t;
return *this;
}
F &operator*=(const T &t) {
for(int i = 0; i < int((*this).size()); ++i) (*this)[i] *= t;
return *this;
}
F &operator/=(const T &t) {
T div = t.inv();
for(int i = 0; i < int((*this).size()); ++i) (*this)[i] *= div;
return *this;
}
F &operator>>=(const int sz) {
assert(sz >= 0);
int n = (*this).size();
(*this).erase((*this).begin(), (*this).begin() + std::min(sz, n));
(*this).resize(n);
return *this;
}
F &operator<<=(const int sz) {
assert(sz >= 0);
int n = (*this).size();
(*this).insert((*this).begin(), sz, T(0));
(*this).resize(n);
return *this;
}
F &operator%=(const F &g) { return *this -= *this / g * g; }
F &operator=(const std::vector<T> &v) {
int n = (*this).size();
for(int i = 0; i < n; ++i) (*this)[i] = v[i];
return *this;
}
F operator-() const {
F ret = *this;
return ret * -1;
}
F &operator*=(const F &g) {
if(mode == FAST) {
int n = (*this).size();
auto tmp = atcoder::convolution(*this, g);
for(int i = 0; i < n; ++i) (*this)[i] = tmp[i];
return *this;
} else {
int n = (*this).size(), m = g.size();
for(int i = n - 1; i >= 0; --i) {
(*this)[i] *= g[0];
for(int j = 1; j < std::min(i + 1, m); j++)
(*this)[i] += (*this)[i - j] * g[j];
}
return *this;
}
}
F &operator/=(const F &g) {
if((*this).size() < g.size()) {
(*this).assign((*this).size(), T(0));
return *this;
}
if(mode == FAST) {
int old = (*this).size();
int n = (*this).size() - g.size() + 1;
*this *= g.inv();
(*this).resize(old);
return *this;
} else {
assert(g[0] != T(0));
T ig0 = g[0].inv();
int n = (*this).size(), m = g.size();
for(int i = 0; i < n; ++i) {
for(int j = 1; j < std::min(i + 1, m); ++j)
(*this)[i] -= (*this)[i - j] * g[j];
(*this)[i] *= ig0;
}
return *this;
}
}
F &operator*=(S g) {
int n = (*this).size();
auto [d, c] = g.front();
if(!d)
g.erase(g.begin());
else
c = 0;
for(int i = n - 1; i >= 0; --i) {
(*this)[i] *= c;
for(auto &[j, b] : g) {
if(j > i) break;
(*this)[i] += (*this)[i - j] * b;
}
}
return *this;
}
F &operator/=(S g) {
int n = (*this).size();
auto [d, c] = g.front();
assert(!d and c != 0);
T ic = c.inv();
g.erase(g.begin());
for(int i = 0; i < n; ++i) {
for(auto &[j, b] : g) {
if(j > i) break;
(*this)[i] -= (*this)[i - j] * b;
}
(*this)[i] *= ic;
}
return *this;
}
F operator+(const F &g) const { return F(*this) += g; }
F operator+(const T &t) const { return F(*this) += t; }
F operator-(const F &g) const { return F(*this) -= g; }
F operator-(const T &t) const { return F(*this) -= t; }
F operator*(const F &g) const { return F(*this) *= g; }
F operator*(const T &t) const { return F(*this) *= t; }
F operator/(const F &g) const { return F(*this) /= g; }
F operator/(const T &t) const { return F(*this) /= t; }
F operator%(const F &g) const { return F(*this) %= g; }
F operator*=(const S &g) const { return F(*this) *= g; }
F operator/=(const S &g) const { return F(*this) /= g; }
F pre(int d) const { return F((*this).begin(), (*this).begin() + std::min((int)(*this).size(), d)); }
F &shrink() {
while(!(*this).empty() and (*this).back() == T(0)) (*this).pop_back();
return *this;
}
F &rev_inplace() {
reverse((*this).begin(), (*this).end());
return *this;
}
F rev() const { return F(*this).rev_inplace(); }
// *=(1 + cz^d)
F &multiply(const int d, const T c) {
int n = (*this).size();
if(c == T(1))
for(int i = n - d - 1; i >= 0; --i)
(*this)[i + d] += (*this)[i];
else if(c == T(-1))
for(int i = n - d - 1; i >= 0; --i)
(*this)[i + d] -= (*this)[i];
else
for(int i = n - d - 1; i >= 0; --i)
(*this)[i + d] += (*this)[i] * c;
return *this;
}
// /=(1 + cz^d)
F &divide(const int d, const T c) {
int n = (*this).size();
if(c == T(1))
for(int i = 0; i < n - d; ++i) (*this)[i + d] -= (*this)[i];
else if(c == T(-1))
for(int i = 0; i < n - d; ++i) (*this)[i + d] += (*this)[i];
else
for(int i = 0; i < n - d; ++i) (*this)[i + d] -= (*this)[i] * c;
return *this;
}
//Ο(N)
T eval(const T &t) const {
int n = (*this).size();
T res = 0, tmp = 1;
for(int i = 0; i < n; ++i) res += (*this)[i] * tmp, tmp *= t;
return res;
}
F inv(int deg = -1) const {
int n = (*this).size();
assert(mode == FAST and n and (*this)[0] != 0);
if(deg == -1) deg = n;
assert(deg > 0);
F res{(*this)[0].inv()};
while(int(res.size()) < deg) {
int m = res.size();
F f((*this).begin(), (*this).begin() + std::min(n, m * 2)), r(res);
f.resize(m * 2), atcoder::internal::butterfly(f);
r.resize(m * 2), atcoder::internal::butterfly(r);
for(int i = 0; i < m * 2; ++i) f[i] *= r[i];
atcoder::internal::butterfly_inv(f);
f.erase(f.begin(), f.begin() + m);
f.resize(m * 2), atcoder::internal::butterfly(f);
for(int i = 0; i < m * 2; ++i) f[i] *= r[i];
atcoder::internal::butterfly_inv(f);
T iz = T(m * 2).inv();
iz *= -iz;
for(int i = 0; i < m; ++i) f[i] *= iz;
res.insert(res.end(), f.begin(), f.begin() + m);
}
res.resize(deg);
return res;
}
//Ο(N)
F &diff_inplace() {
int n = (*this).size();
for(int i = 1; i < n; ++i) (*this)[i - 1] = (*this)[i] * i;
(*this)[n - 1] = 0;
return *this;
}
F diff() const { F(*this).diff_inplace(); }
//Ο(N)
F &integral_inplace() {
int n = (*this).size(), mod = T::mod();
std::vector<T> inv(n);
{
inv[1] = 1;
for(int i = 2; i < n; ++i)
inv[i] = T(mod) - inv[mod % i] * (mod / i);
}
for(int i = n - 2; i >= 0; --i) (*this)[i + 1] = (*this)[i] * inv[i + 1];
(*this)[0] = 0;
return *this;
}
F integral() const { return F(*this).integral_inplace(); }
//Ο(NlogN)
F &log_inplace() {
int n = (*this).size();
assert(n and (*this)[0] == 1);
F f_inv = (*this).inv();
(*this).diff_inplace();
(*this) *= f_inv;
(*this).integral_inplace();
return *this;
}
F log() const { return F(*this).log_inplace(); }
//Ο(NlogN)
F &deriv_inplace() {
int n = (*this).size();
assert(n);
for(int i = 2; i < n; ++i) (*this)[i] *= i;
(*this).erase((*this).begin());
(*this).push_back(0);
return *this;
}
F deriv() const { return F(*this).deriv_inplace(); }
//Ο(NlogN)
F &exp_inplace() {
int n = (*this).size();
assert(n and (*this)[0] == 0);
F g{1};
(*this)[0] = 1;
F h_drv((*this).deriv());
for(int m = 1; m < n; m *= 2) {
F f((*this).begin(), (*this).begin() + m);
f.resize(2 * m), atcoder::internal::butterfly(f);
auto mult_f = [&](F &p) {
p.resize(2 * m);
atcoder::internal::butterfly(p);
for(int i = 0; i < 2 * m; ++i) p[i] *= f[i];
atcoder::internal::butterfly_inv(p);
p /= 2 * m;
};
if(m > 1) {
F g_(g);
g_.resize(2 * m), atcoder::internal::butterfly(g_);
for(int i = 0; i < 2 * m; ++i) g_[i] *= g_[i] * f[i];
atcoder::internal::butterfly_inv(g_);
T iz = T(-2 * m).inv();
g_ *= iz;
g.insert(g.end(), g_.begin() + m / 2, g_.begin() + m);
}
F t((*this).begin(), (*this).begin() + m);
t.deriv_inplace();
{
F r{h_drv.begin(), h_drv.begin() + m - 1};
mult_f(r);
for(int i = 0; i < m; ++i) t[i] -= r[i] + r[m + i];
}
t.insert(t.begin(), t.back());
t.pop_back();
t *= g;
F v((*this).begin() + m, (*this).begin() + std::min(n, 2 * m));
v.resize(m);
t.insert(t.begin(), m - 1, 0);
t.push_back(0);
t.integral_inplace();
for(int i = 0; i < m; ++i) v[i] -= t[m + i];
mult_f(v);
for(int i = 0; i < std::min(n - m, m); ++i)
(*this)[m + i] = v[i];
}
return *this;
}
F exp() const { return F(*this).exp_inplace(); }
//Ο(NlogN)
F &pow_inplace(long long k) {
int n = (*this).size(), l = 0;
assert(k >= 0);
if(!k) {
for(int i = 0; i < n; ++i) (*this)[i] = !i;
return *this;
}
while(l < n and (*this)[l] == 0) ++l;
if(l > (n - 1) / k or l == n) return *this = F(n);
T c = (*this)[l];
(*this).erase((*this).begin(), (*this).begin() + l);
(*this) /= c;
(*this).log_inplace();
(*this).resize(n - l * k);
(*this) *= k;
(*this).exp_inplace();
(*this) *= c.pow(k);
(*this).insert((*this).begin(), l * k, 0);
return *this;
}
F pow(const long long k) const { return F(*this).pow_inplace(k); }
//Ο(NlogN)
F sqrt(int deg = -1) const {
auto SQRT = [&](T t) {
int mod = T::mod();
if(t == 0 or t == 1) return t;
int v = (mod - 1) / 2;
if(t.pow(v) != 1) return T(-1);
int q = mod - 1, m = 0;
while(~q & 1) q >>= 1, m++;
std::mt19937 mt;
T z = mt();
while(z.pow(v) != mod - 1) z = mt();
T c = z.pow(q), u = t.pow(q), r = t.pow((q + 1) / 2);
for(; m > 1; m--) {
T tmp = u.pow(1 << (m - 2));
if(tmp != 1) r = r * c, u = u * c * c;
c = c * c;
}
return T(std::min(r.val(), mod - r.val()));
};
int n = (*this).size();
if(deg == -1) deg = n;
if((*this)[0] == 0) {
for(int i = 1; i < n; i++) {
if((*this)[i] != 0) {
if(i & 1) return F(0);
if(deg - i / 2 <= 0) break;
auto ret = (*this);
ret >>= i;
ret.resize(n - i);
ret = ret.sqrt(deg - i / 2);
if(ret.empty()) return F(0);
ret <<= (i / 2);
ret.resize(deg);
return ret;
}
}
return F(deg);
}
auto sqr = SQRT((*this)[0]);
if(sqr * sqr != (*this)[0]) return F(0);
F ret{sqr};
T ti = T(1) / T(2);
for(int i = 1; i < deg; i <<= 1) {
auto u = (*this);
u.resize(i << 1);
ret = (ret.inv(i << 1) * u + ret) * ti;
}
ret.resize(deg);
return ret;
}
void sparse_pow(const int n, const int d, const T c, const int k);
void sparse_pow_inv(const int n, const int d, const T c, const int k);
void stirling_first(int n);
void stirling_second(int n);
std::vector<T> multipoint_evaluation(const std::vector<T> &p);
};
#pragma endregion
using mint = modint998244353;
using fps = FormalPowerSeries<mint, FAST>;
const int sz = 3001;
void main_() {
LL(n);
INT(q);
V<ll> k(q);
V<> a(q), b(q), s(q), t(q);
REP(i, q) { cin >> k[i] >> a[i] >> b[i] >> s[i] >> t[i]; }
auto re = press(k);
int m = SZ(re);
fps f(sz);
f[0] = 1;
V<fps> dat(m, f);
fps g(sz, 1);
g.pow_inplace(n - m);
f *= g;
V<fps> cond(m, fps(sz, 1));
REP(i, m) { f *= cond[i]; }
REP(i, q) {
int idx = k[i];
f /= cond[idx];
REP(j, a[i], b[i] + 1) { cond[idx][j] = 0; }
f *= cond[idx];
mint res = 0;
REP(j, s[i], t[i] + 1) {res += f[j];}
print(res);
}
}
int main() {
int t = 1;
//cin >> t;
while(t--) main_();
return 0;
}
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