Submission #673520

#TimeUsernameProblemLanguageResultExecution timeMemory
673520peijarMisspelling (JOI22_misspelling)C++17
28 / 100
4051 ms69528 KiB
#include <bits/stdc++.h>
#define int long long
using namespace std;

template <const int32_t MOD> struct ModInt {
  int32_t x;
  ModInt() : x(0) {}
  ModInt(long long u) : x(u % MOD) {
    if (x < 0)
      x += MOD;
  }
  friend bool operator==(const ModInt &a, const ModInt &b) {
    return a.x == b.x;
  }
  friend bool operator!=(const ModInt &a, const ModInt &b) {
    return a.x != b.x;
  }
  friend bool operator<(const ModInt &a, const ModInt &b) { return a.x < b.x; }
  friend bool operator>(const ModInt &a, const ModInt &b) { return a.x > b.x; }
  friend bool operator<=(const ModInt &a, const ModInt &b) {
    return a.x <= b.x;
  }
  friend bool operator>=(const ModInt &a, const ModInt &b) {
    return a.x >= b.x;
  }
  static ModInt sign(long long k) {
    return ((k & 1) ? ModInt(MOD - 1) : ModInt(1));
  }

  ModInt &operator+=(const ModInt &m) {
    x += m.x;
    if (x >= MOD)
      x -= MOD;
    return *this;
  }
  ModInt &operator-=(const ModInt &m) {
    x -= m.x;
    if (x < 0LL)
      x += MOD;
    return *this;
  }
  ModInt &operator*=(const ModInt &m) {
    x = (1LL * x * m.x) % MOD;
    return *this;
  }

  friend ModInt operator-(const ModInt &a) {
    ModInt res(a);
    if (res.x)
      res.x = MOD - res.x;
    return res;
  }
  friend ModInt operator+(const ModInt &a, const ModInt &b) {
    return ModInt(a) += ModInt(b);
  }
  friend ModInt operator-(const ModInt &a, const ModInt &b) {
    return ModInt(a) -= ModInt(b);
  }
  friend ModInt operator*(const ModInt &a, const ModInt &b) {
    return ModInt(a) *= ModInt(b);
  }

  static long long fp(long long u, long long k) {
    long long res = 1LL;
    while (k > 0LL) {
      if (k & 1LL)
        res = (res * u) % MOD;
      u = (u * u) % MOD;
      k /= 2LL;
    }
    return res;
  }

  static constexpr int mod() { return MOD; }

  ModInt fastpow(long long k) { return ModInt(fp(x, k)); }
  ModInt inv() {
    assert(x);
    return ModInt(fp(x, MOD - 2));
  }
  ModInt &operator/=(const ModInt &m) { return *this *= ModInt(m).inv(); }
  friend ModInt operator/(const ModInt &a, const ModInt &b) {
    return ModInt(a) *= ModInt(b).inv();
  }

  friend ostream &operator<<(ostream &out, const ModInt &a) {
    return out << a.x;
  }
  friend istream &operator>>(istream &in, ModInt &a) { return in >> a.x; }
};

const int MOD = 1e9 + 7;
using Mint = ModInt<MOD>;

struct Contrainte {
  int L, R;
  bool inc;
};

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int longueur, nbContraintes;
  cin >> longueur >> nbContraintes;

  vector<Contrainte> contraintes(nbContraintes);

  for (int i = 0; i < nbContraintes; ++i) {
    int A, B;
    cin >> A >> B;
    --A, --B;
    if (A < B)
      contraintes[i] = {A, B, false};
    else
      contraintes[i] = {B, A, true};
  }

  vector<array<Mint, 26>> dp(longueur);
  dp[0].fill(1);

  for (int i = 1; i < longueur; ++i) {
    int LInc = -1, LDec = -1;
    for (auto [L, R, inc] : contraintes) {
      if (R >= i and L < i) {
        if (inc)
          LInc = max(LInc, L);
        else
          LDec = max(LDec, L);
      }
    }
    for (int nxt = 0; nxt < 26; ++nxt) {
      dp[i][nxt] = 0;
      for (int old = 0; old < nxt; ++old)
        for (int j = LDec + 1; j < i; ++j)
          dp[i][nxt] += dp[j][old];
      for (int old = nxt + 1; old < 26; ++old)
        for (int j = LInc + 1; j < i; ++j)
          dp[i][nxt] += dp[j][old];
    }
  }
  Mint ret = 0;
  for (int i = 0; i < longueur; ++i)
    ret += accumulate(dp[i].begin(), dp[i].end(), Mint(0));
  cout << ret << endl;
}
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