제출 #739721

#제출 시각아이디문제언어결과실행 시간메모리
739721torisasamiJob Scheduling (IOI19_job)C++14
100 / 100
347 ms41428 KiB
// #define _GLIBCXX_DEBUG #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < int(n); i++) #define per(i, n) for (int i = (n)-1; 0 <= i; i--) #define rep2(i, l, r) for (int i = (l); i < int(r); i++) #define per2(i, l, r) for (int i = (r)-1; int(l) <= i; i--) #define each(e, v) for (auto& e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() template <typename T> void print(const vector<T>& v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } using ll = long long; using pii = pair<int, int>; using pll = pair<ll, ll>; template <typename T> bool chmax(T& x, const T& y) { return (x < y) ? (x = y, true) : false; } template <typename T> bool chmin(T& x, const T& y) { return (x > y) ? (x = y, true) : false; } template <class T> using minheap = std::priority_queue<T, std::vector<T>, std::greater<T>>; template <class T> using maxheap = std::priority_queue<T>; template <typename T> int lb(const vector<T>& v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template <typename T> int ub(const vector<T>& v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template <typename T> void rearrange(vector<T>& v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } // __int128_t gcd(__int128_t a, __int128_t b) { // if (a == 0) // return b; // if (b == 0) // return a; // __int128_t cnt = a % b; // while (cnt != 0) { // a = b; // b = cnt; // cnt = 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<int> 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])); } int size(int k) { return (-data[find(k)]); } bool same(int x, int y) { return find(x) == find(y); } int operator[](int k) { return find(k); } }; template <int mod> struct Mod_Int { int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} static int get_mod() { return mod; } Mod_Int& operator+=(const Mod_Int& p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int& operator-=(const Mod_Int& p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int& operator*=(const Mod_Int& p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int& operator/=(const Mod_Int& p) { *this *= p.inverse(); return *this; } Mod_Int& operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int& operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int& p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int& p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int& p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int& p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int& p) const { return x == p.x; } bool operator!=(const Mod_Int& p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream& operator<<(ostream& os, const Mod_Int& p) { return os << p.x; } friend istream& operator>>(istream& is, Mod_Int& p) { long long a; is >> a; p = Mod_Int<mod>(a); return is; } }; ll mpow2(ll x, ll n, ll mod) { ll ans = 1; x %= mod; while (n != 0) { if (n & 1) ans = ans * x % mod; x = x * x % mod; n = n >> 1; } ans %= mod; return ans; } template <typename T> T modinv(T a, const T& m) { T b = m, u = 1, v = 0; while (b > 0) { T t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return u >= 0 ? u % m : (m - (-u) % m) % m; } ll divide_int(ll a, ll b) { if (b < 0) a = -a, b = -b; return (a >= 0 ? a / b : (a - b + 1) / b); } // const int MOD = 1000000007; const int MOD = 998244353; using mint = Mod_Int<MOD>; mint mpow(mint x, ll n) { bool rev = n < 0; n = abs(n); mint ans = 1; while (n != 0) { if (n & 1) ans *= x; x *= x; n = n >> 1; } return (rev ? ans.inverse() : ans); } // ----- library ------- template <typename T> struct Tree_Optimal_Order { using F = function<T(T, T)>; using C = function<bool(T, T)>; int n; const F f; const C comp; vector<vector<int>> g; vector<int> par, h, l, to; vector<T> val; // comp(i, j) == true <=> pref[i] < pref[j] Tree_Optimal_Order(int n, const F f, const C comp) : n(n), f(f), comp(comp), g(n), par(n), h(n), l(n), to(n), val(n) {} void add_edge(int u, int v) { g[u].emplace_back(v), g[v].emplace_back(u); } void dfs(int k) { for (auto &e: g[k]) { if (e != par[k]) par[e] = k, dfs(e); } } int head(int k) { if (h[k] == -1) return k; return h[k] = head(h[k]); } void merge(int k) { int p = head(par[k]); h[k] = p, to[l[p]] = k, l[p] = l[k], val[p] = f(val[p], val[k]); } vector<int> solve(vector<T> v, int root = 0) { val = move(v); fill(par.begin(), par.end(), -1); dfs(root); fill(h.begin(), h.end(), -1); iota(l.begin(), l.end(), 0); vector<bool> vis(n, false); using data = pair<int, T>; priority_queue<data, vector<data>, function<bool(data, data)>> que( [&](data x, data y){return comp(x.second, y.second);} ); for (int i = 0; i < n; i++) if (i != root) que.push({i, val[i]}); while(que.size()) { int now = que.top().first; que.pop(); if (vis[now]) continue; vis[now] = true; merge(now); if (head(now) != root) que.push({head(now), val[head(now)]}); } vector<int> ret{root}; for (int i = 0; i < n - 1; i++) ret.emplace_back(to[ret.back()]); return ret; } }; ll scheduling_cost(vector<int> p, vector<int> u, vector<int> d) { int n = sz(p); auto f = [](pll a, pll b){return make_pair(a.first + b.first, a.second + b.second);}; auto comp = [](pll a, pll b){return a.first * b.second < a.second * b.first;}; Tree_Optimal_Order<pll> g(n, f, comp); rep2(i, 1, n) g.add_edge(p[i], i); vector<pll> val; rep(i, n) val.eb(u[i], d[i]); auto ret = g.solve(val); ll ans = 0, s = 0; rep(i, n) s += d[ret[i]], ans += s * u[ret[i]]; return ans; } // ----- library -------
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