Submission #673522

#TimeUsernameProblemLanguageResultExecution timeMemory
673522peijarMisspelling (JOI22_misspelling)C++17
100 / 100
1273 ms155368 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<vector<int>> startAt(longueur); for (int i = 0; i < nbContraintes; ++i) startAt[contraintes[i].L].push_back(i); vector<array<Mint, 26>> dp(longueur); vector<array<Mint, 26>> prefDp(longueur + 1); for (int i = 0; i <= longueur; ++i) prefDp[i].fill(0); dp[0].fill(1); for (int c = 0; c < 26; ++c) prefDp[1][c] += 1; priority_queue<pair<int, int>> pqInc, pqDec; for (int i = 1; i < longueur; ++i) { for (int iContrainte : startAt[i - 1]) { if (contraintes[iContrainte].inc) pqInc.emplace(contraintes[iContrainte].L, iContrainte); else pqDec.emplace(contraintes[iContrainte].L, iContrainte); } while (!pqInc.empty() and contraintes[pqInc.top().second].R < i) pqInc.pop(); while (!pqDec.empty() and contraintes[pqDec.top().second].R < i) pqDec.pop(); int LInc = pqInc.empty() ? -1 : pqInc.top().first, LDec = pqDec.empty() ? -1 : pqDec.top().first; for (int nxt = 0; nxt < 26; ++nxt) { dp[i][nxt] = 0; for (int old = 0; old < nxt; ++old) dp[i][nxt] += prefDp[i][old] - prefDp[LDec + 1][old]; for (int old = nxt + 1; old < 26; ++old) dp[i][nxt] += prefDp[i][old] - prefDp[LInc + 1][old]; prefDp[i + 1][nxt] = prefDp[i][nxt] + dp[i][nxt]; } } 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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