Submission #739712

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
739712	2023-05-11T05:44:10 Z	torisasami	Job Scheduling (IOI19_job)	C++14	0 / 100	3000 ms	27308 KB

// #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);
        priority_queue<int, vector<int>, function<bool(int, int)>> que(
            [&](int i, int j){return comp(val[i], val[j]);}
        );
        for (int i = 0; i < n; i++) if (i != root) que.push(i);
        while (que.size()) {
            int now = que.top();
            while (true) {
                que.pop(), que.push(now);
                int tmp = que.top();
                if (now == tmp)
                    break;
                now = tmp;
            }
            que.pop();
            if (vis[now]) continue;
            vis[now] = true;
            merge(now);
            if (head(now) != root)
                que.push(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 = [](pii a, pii b){return make_pair(a.first + b.first, a.second + b.second);};
    auto comp = [](pii a, pii b){return a.first * b.second < a.second * b.first;};
    Tree_Optimal_Order<pii> g(n, f, comp);
    rep2(i, 1, n) g.add_edge(p[i], i);
    vector<pii> 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 -------

Subtask #1
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Execution timed out	3045 ms	212 KB	Time limit exceeded
4	Halted	0 ms	0 KB	-

Subtask #2
0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Execution timed out	3038 ms	212 KB	Time limit exceeded
4	Halted	0 ms	0 KB	-

Subtask #3
0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Execution timed out	3059 ms	1620 KB	Time limit exceeded
6	Halted	0 ms	0 KB	-