Submission #1215348

#TimeUsernameProblemLanguageResultExecution timeMemory
1215348thangdz2k7Fancy Fence (CEOI20_fancyfence)C++20
100 / 100
24 ms3524 KiB
#include <bits/stdc++.h> using namespace std; namespace MODINT { struct barrett { unsigned int _m; unsigned long long im; explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {} unsigned int umod() const { return _m; }; unsigned int mul(unsigned int a, unsigned int b) const { unsigned long long z = a; z *= b; unsigned long long x = (unsigned long long)(((unsigned __int128) z * im) >> 64); unsigned long long y = x * _m; return (unsigned int)(z - y + (z < y ? _m : 0)); } }; template <class T> T invGeneral(T a, T b) { a %= b; if (!a) return b == 1 ? 0 : -1; T x = invGeneral(b, a); return x == -1 ? -1 : ((1 - 1LL * b * x) / a + b) % b; } template <int m, enable_if_t<1 <= m>* = nullptr> struct static_modint { using mint = static_modint; public: static constexpr int mod() { return m; } static mint raw(int v) { mint x; x.v = v; return x; } static_modint(): v(0) {} template <class T> static_modint(T x) { int y; if (x < 0) { if (x < -mod()) y = x % mod(); else y = x; if (y < 0) y += mod(); } else { if (x < mod()) y = x; else y = x % mod(); } v = y; } unsigned int val() const { return v; } unsigned int operator () () const { return v; } mint & operator ++ () { if (++v == umod()) v = 0; return *this; } mint & operator -- () { if (!v) v = umod(); --v; return *this; } mint operator ++ (int) { mint old = *this; ++*this; return old; } mint operator -- (int) { mint old = *this; --*this; return old; } mint operator + () { return *this; } mint operator - () { return raw(!v ? 0 : umod() - v); } mint & operator += (const mint &rhs) { v += rhs.v; if (v >= umod()) v -= umod(); return *this; } mint & operator -= (const mint &rhs) { v -= rhs.v; if (v >= umod()) v += umod(); return *this; } mint & operator *= (const mint &rhs) { unsigned long long z = v; z *= rhs.v; v = z % umod(); return *this; } mint & operator /= (const mint &rhs) { return *this *= rhs.inv(); } friend mint operator + (const mint &lhs, const mint &rhs) { return mint(lhs) += rhs; } friend mint operator - (const mint &lhs, const mint &rhs) { return mint(lhs) -= rhs; } friend mint operator * (const mint &lhs, const mint &rhs) { return mint(lhs) *= rhs; } friend mint operator / (const mint &lhs, const mint &rhs) { return mint(lhs) /= rhs; } mint pow(long long n) const { assert(0 <= n); mint res = 1, a = *this; for (; n; n >>= 1, a *= a) if (n & 1) res *= a; return res; } mint inv() const { int i = invGeneral((int) v, mod()); assert(~i); return i; } friend bool operator == (const mint& lhs, const mint& rhs) { return lhs.v == rhs.v; } friend bool operator != (const mint& lhs, const mint& rhs) { return lhs.v != rhs.v; } friend ostream & operator << (ostream &out, const mint &x) { return out << x.v; } friend istream & operator >> (istream &in, mint &x) { long long a; in >> a; x = a; return in; } explicit operator bool() const { return v; } explicit operator int() const { return v; } private: unsigned int v; static constexpr unsigned int umod() { return m; } }; template <int id> struct dynamic_modint { using mint = dynamic_modint; public: static int mod() { return (int) bt.umod(); } static void set_mod(int m) { assert(1 <= m); bt = barrett(m); } static mint raw(int v) { mint x; x.v = v; return x; } dynamic_modint(): v(0) {} template <class T> dynamic_modint(T x) { int y; if (x < 0) { if (x < -mod()) y = x % mod(); else y = x; if (y < 0) y += mod(); } else { if (x < mod()) y = x; else y = x % mod(); } v = y; } unsigned int val() const { return v; } unsigned int operator () () const { return v; } mint & operator ++ () { if (++v == umod()) v = 0; return *this; } mint & operator -- () { if (!v) v = umod(); --v; return *this; } mint operator ++ (int) { mint old = *this; ++*this; return old; } mint operator -- (int) { mint old = *this; --*this; return old; } mint operator + () { return *this; } mint operator - () { return raw(!v ? 0 : umod() - v); } mint & operator += (const mint &rhs) { v += rhs.v; if (v >= umod()) v -= umod(); return *this; } mint & operator -= (const mint &rhs) { v -= rhs.v; if (v >= umod()) v += umod(); return *this; } mint & operator *= (const mint &rhs) { v = bt.mul(v, rhs.v); return *this; } mint & operator /= (const mint &rhs) { return *this *= rhs.inv(); } friend mint operator + (const mint &lhs, const mint &rhs) { return mint(lhs) += rhs; } friend mint operator - (const mint &lhs, const mint &rhs) { return mint(lhs) -= rhs; } friend mint operator * (const mint &lhs, const mint &rhs) { return mint(lhs) *= rhs; } friend mint operator / (const mint &lhs, const mint &rhs) { return mint(lhs) /= rhs; } mint pow(long long n) const { assert(0 <= n); mint res = 1, a = *this; for (; n; n >>= 1, a *= a) if (n & 1) res *= a; return res; } mint inv() const { int i = invGeneral((int) v, mod()); assert(~i); return i; } friend bool operator == (const mint& lhs, const mint& rhs) { return lhs.v == rhs.v; } friend bool operator != (const mint& lhs, const mint& rhs) { return lhs.v != rhs.v; } friend ostream & operator << (ostream &out, const mint &x) { return out << x.v; } friend istream & operator >> (istream &in, mint &x) { long long a; in >> a; x = a; return in; } explicit operator bool() const { return v; } explicit operator int() const { return v; } private: unsigned int v; static barrett bt; static unsigned int umod() { return bt.umod(); } }; template <int id> barrett dynamic_modint<id>::bt(998244353); using modint998244353 = static_modint<998244353>; using modint1000000007 = static_modint<1000000007>; using modint = dynamic_modint <-1>; using Modular = modint1000000007; // set mod } using namespace MODINT; // remember to set mod void process(){ int n; cin >> n; vector <int> h(n), w(n); for (int i = 0; i < n; ++ i) cin >> h[i]; for (int i = 0; i < n; ++ i) cin >> w[i]; vector <int> l(n, -1), r(n, -1); vector <int> stk; for (int i = 0; i < n; ++ i){ while (stk.size() && h[i] < h[stk.back()]){ r[stk.back()] = l[i]; l[i] = stk.back(); stk.pop_back(); } if (stk.size()) r[stk.back()] = i; stk.push_back(i); } vector <int> fa(n, -1); for (int i = 0; i < n; ++ i){ for (int c : {l[i], r[i]}) if (c != -1) fa[c] = i; } vector <int> ord(n); iota(ord.begin(), ord.end(), 0); sort(ord.begin(), ord.end(), [&](int i, int j){ if (h[i] != h[j]) return h[i] > h[j]; return i > j; }); vector <Modular> sw(n); for (int i = 0; i < n; ++ i) sw[i] = w[i]; Modular ans = 0; Modular i2 = Modular(2).inv(); i2 *= i2; for (int i : ord){ Modular len = h[i]; len *= (len + 1); Modular width = 0; for (int c : {l[i], r[i]}) if (c != -1) sw[i] += sw[c], width -= (sw[c] + 1) * sw[c]; width += (sw[i] + 1) * sw[i]; ans += width * len * i2; } cout << ans; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); process(); return 0; }
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