結果

問題 No.1549 [Cherry 2nd Tune] BANning Tuple
ユーザー torisasami4torisasami4
提出日時 2021-06-11 23:57:17
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2,357 ms / 4,000 ms
コード長 8,072 bytes
コンパイル時間 2,312 ms
コンパイル使用メモリ 194,068 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-12-15 03:57:07
合計ジャッジ時間 36,759 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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ファイルパターン 結果
other AC * 20
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ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb(x) push_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define lscan(x) scanf("%I64d", &x)
#define lprint(x) printf("%I64d", x)
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define rep2(i, n) for (ll i = (ll)n - 1; i >= 0; i--)
#define REP(i, l, r) for (ll i = l; i < (r); i++)
#define REP2(i, l, r) for (ll i = (ll)r - 1; i >= (l); i--)
#define siz(x) (ll)x.size()
template <class T>
using rque = priority_queue<T, vector<T>, greater<T>>;
const ll mod = 998244353;

template <class T>
bool chmin(T &a, const T &b) {
    if (b < a) {
        a = b;
        return 1;
    }
    return 0;
}

template <class T>
bool chmax(T &a, const T &b) {
    if (b > a) {
        a = b;
        return 1;
    }
    return 0;
}

ll gcd(ll a, ll b)
{
	if(a == 0)
		return b;
	if(b == 0)
		return a;
	ll c = a % b;
	while (c != 0)
	{
		a = b;
		b = c;
		c = a % b;
	}
	return b;
}

long long extGCD(long long a, long long b, long long &x, long long &y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}
	long long d = extGCD(b, a % b, y, x);
	y -= a / b * x;
	return d;
}

struct UnionFind
{
	vector<ll> data;
	int num;

	UnionFind(int sz)
	{
		data.assign(sz, -1);
		num = sz;
	}

	bool unite(int x, int y)
	{
		x = find(x), y = find(y);
		if (x == y)
			return (false);
		if (data[x] > data[y])
			swap(x, y);
		data[x] += data[y];
		data[y] = x;
		num--;
		return (true);
	}

	int find(int k)
	{
		if (data[k] < 0)
			return (k);
		return (data[k] = find(data[k]));
	}

	ll size(int k)
	{
		return (-data[find(k)]);
	}
};

ll M = 1000000007;

template <int mod>
struct ModInt
{
	int x;

	ModInt() : x(0) {}

	ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

	ModInt &operator+=(const ModInt &p)
	{
		if ((x += p.x) >= mod)
			x -= mod;
		return *this;
	}

	ModInt &operator-=(const ModInt &p)
	{
		if ((x += mod - p.x) >= mod)
			x -= mod;
		return *this;
	}

	ModInt &operator*=(const ModInt &p)
	{
		x = (int)(1LL * x * p.x % mod);
		return *this;
	}

	ModInt &operator/=(const ModInt &p)
	{
		*this *= p.inverse();
		return *this;
	}

	ModInt operator-() const { return ModInt(-x); }

	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 x == p.x; }

	bool operator!=(const ModInt &p) const { return x != p.x; }

	ModInt inverse() const
	{
		int a = x, 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(x);
		while (n > 0)
		{
			if (n & 1)
				ret *= mul;
			mul *= mul;
			n >>= 1;
		}
		return ret;
	}

	friend ostream &operator<<(ostream &os, const ModInt &p)
	{
		return os << p.x;
	}

	friend istream &operator>>(istream &is, ModInt &a)
	{
		int64_t t;
		is >> t;
		a = ModInt<mod>(t);
		return (is);
	}

	static constexpr uint32_t get_mod() { return mod; }
};

using mint = ModInt<mod>;

mint mpow(mint x, ll n)
{
	mint ans = 1;
	while (n != 0)
	{
		if (n & 1)
			ans *= x;
		x *= x;
		n = n >> 1;
	}
	return ans;
}

ll mpow2(ll x, ll n, ll mod)
{
	ll ans = 1;
	while (n != 0)
	{
		if (n & 1)
			ans = ans * x % mod;
		x = x * x % mod;
		n = n >> 1;
	}
	return ans;
}

vector<mint> fac;
vector<mint> ifac;

void setcomb(int sz = 2000010)
{
	fac.assign(sz + 1, 0);
	ifac.assign(sz + 1, 0);
	fac[0] = 1;
	for (ll i = 0; i < sz; i++)
	{
		fac[i + 1] = fac[i] * (i + 1); // n!(mod M)
	}
	ifac[sz] = fac[sz].inverse();
	for (ll i = sz; i > 0; i--)
	{
		ifac[i - 1] = ifac[i] * i;
	}
}
mint comb(ll a, ll b)
{
	if(fac.size() == 0)
		setcomb();
	if (a == 0 && b == 0)
		return 1;
	if (a < b || a < 0)
		return 0;
	return ifac[a - b] * ifac[b] * fac[a];
}

mint perm(ll a, ll b)
{
	if(fac.size() == 0)
		setcomb();
	if (a == 0 && b == 0)
		return 1;
	if (a < b || a < 0)
		return 0;
	return fac[a] * ifac[a - b];
}

long long modinv(long long a)
{
	long long b = M, u = 1, v = 0;
	while (b)
	{
		long long t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= M;
	if (u < 0)
		u += M;
	return u;
}

ll modinv2(ll a, ll mod)
{
	ll b = mod, u = 1, v = 0;
	while (b)
	{
		ll t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= mod;
	if (u < 0)
		u += mod;
	return u;
}

static constexpr uint32_t get_pr(uint32_t mod) {
  using u64 = uint64_t;
  u64 ds[32] = {};
  int idx = 0;
  u64 m = mod - 1;
  for(u64 i = 2 ; i * i <= m; ++i){
    if(m % i == 0){
      ds[idx++] = i;
      while(m % i == 0) m /= i;
    }
  }
  if(m != 1) ds[idx++] = m;

  uint32_t pr = 2;
  while(1){
    int flg = 1;
    for(int i = 0 ; i < idx ; i++){
      u64 a = pr , b = (mod - 1) / ds[i] , r = 1;
      while(b){
        if(b & 1) r = r * a % mod;
        a = a * a % mod;
        b >>= 1;
      }
      if(r == 1){
        flg = 0;
        break;
      }
    }
    if(flg == 1) break;
    ++pr;
  }
  return pr;
};

template <typename mint>
struct NTT {
  static constexpr uint32_t mod = mint::get_mod();
  static constexpr uint32_t pr = get_pr(mod);
  vector<mint> w, y;
 
  void setwy(int M) {
    if ((int)w.size() >= (M >> 1)) return;
    w.resize(M >> 1);
    y.resize(M >> 1);
    mint z = mint(pr).pow((mod - 1) / M);
    mint x = z.inverse();
    int j = M >> 2;
    while (j) {
      w[j] = z;
      z *= z;
      y[j] = x;
      x *= x;
      j >>= 1;
    }
    genwy(0, M >> 2, 1, 1);
  }
 
  void genwy(int i, int b, mint z, mint x) {
    if (b == 0)
      w[i] = z, y[i] = x;
    else {
      genwy(i, b >> 1, z, x);
      genwy(i | b, b >> 1, w[b] * z, y[b] * x);
    }
  }
 
  void fft(vector<mint> &a, int k) {
    int u = 1;
    int v = 1 << (k - 1);
    while (v) {
      // jh = 0 , wj = 1
      for(int j = 0; j < v; ++j) {
        mint ajv = a[j + v];
        a[j + v] = a[j] - ajv;
        a[j] += ajv;
      }
      // jh >= 1
      for (int jh = 1; jh < u; ++jh) {
        mint wj = w[jh];
        int je = jh * v * 2 + v;
        for (int j = jh * v * 2; j < je; ++j) {
          mint ajv = wj * a[j + v];
          a[j + v] = a[j] - ajv;
          a[j] += ajv;
        }
      }
      u <<= 1;
      v >>= 1;
    }
  }
 
  void ifft(vector<mint> &a, int k) {
    int u = 1 << (k - 1);
    int v = 1;
    while (u) {
      // jh = 0, wj = 1
      for(int j = 0; j < v; ++j){
        mint ajv = a[j] - a[j + v];
        a[j] += a[j + v];
        a[j + v] = ajv;
      }
      // jh >= 1
      for (int jh = 1; jh < u; ++jh) {
        mint wj = y[jh];
        int je = jh * v * 2 + v;
        for (int j = jh * v * 2; j < je; ++j) {
          mint ajv = a[j] - a[j + v];
          a[j] += a[j + v];
          a[j + v] = wj * ajv;
        }
      }
      u >>= 1;
      v <<= 1;
    }
  }
 
  vector<mint> multiply(vector<mint> s, vector<mint> t) {
    int l = s.size() + t.size() - 1;
    int k = 2, M = 4;
    while (M < l) M <<= 1, ++k;
    setwy(M);
    s.resize(M);
    t.resize(M);
    fft(s, k);
    fft(t, k);
    for (int i = 0; i < M; ++i) s[i] *= t[i];
    ifft(s, k);
    s.resize(l);
    mint invm = mint(M).inverse();
    for (auto &x : s) x *= invm;
    return s;
  }
};

int main(){
	ios::sync_with_stdio(false);
	std::cin.tie(nullptr);

	ll n, q;
	cin >> n >> q;
	ll k, a, b, s, t;
	unordered_map<ll, vector<mint>> m;
	mint cnt = n;
	NTT<mint> ntt;
	rep(i,q){
		cin >> k >> a >> b >> s >> t;
		s--;
		if (m[k].size() == 0){
			cnt -= 1;
			m[k].resize(3001, 1);
		}
		REP(j, a, b + 1) m[k][j] = 0;
		vector<mint> dp(1, 1);
		for (auto &e : m){
			dp = ntt.multiply(dp, e.second);
			dp.resize(3001);
		}
		mint ans = 0, com = 1;
		rep2(j, t + 1) ans += dp[j] * com, com *= cnt + t - j + 1, com /= t - j + 1;
		com = 1;
		rep2(j, s + 1) ans -= dp[j] * com, com *= cnt + s - j + 1, com /= s - j + 1;
		cout << ans << endl;
	}
}
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