Submission #705162

#	Time	Username	Problem	Language	Result	Execution time	Memory
705162		finn__	Harbingers (CEOI09_harbingers)	C++17	0 / 100	196 ms	24556 KiB

harbingers

#include <bits/stdc++.h>
using namespace std;

struct LinearFn
{
    int64_t m, t;

    LinearFn(int64_t m_, int64_t t_) { m = m_, t = t_; }

    int64_t operator()(int64_t x) { return m * x + t; }
};

#define N 100000

int64_t s[N], v[N], d[N], ans[N];
vector<pair<size_t, int64_t>> g[N];

void find_shortest_route(size_t u, size_t p, deque<LinearFn> &q)
{
    if (!q.empty())
    {
        size_t a = 0, b = q.size() - 1;
        while (a < b)
        {
            size_t mid = (a + b) / 2;
            if (mid < q.size() - 1)
            {
                if (q[mid](v[u]) <= q[mid + 1](v[u]))
                    b = mid;
                else
                    a = mid + 1;
            }
            else
            {
                if (mid && q[mid - 1](v[u]) <= q[mid](v[u]))
                    b = mid - 1;
                else
                    a = mid;
            }
        }
        ans[u] = q[a](v[u]) + d[u] * v[u] + s[u];
        q.emplace_back(-d[u], ans[u]);
    }
    else
    {
        q.emplace_back(0, 0);
    }

    for (auto [x, w] : g[u])
    {
        if (x != p)
        {
            d[x] = d[u] + w;
            find_shortest_route(x, u, q);
        }
    }

    q.pop_back();
}

int main()
{
    size_t n;
    cin >> n;

    for (size_t i = 0; i + 1 < n; i++)
    {
        size_t u, v, w;
        cin >> u >> v >> w;
        g[u - 1].emplace_back(v - 1, w);
        g[v - 1].emplace_back(u - 1, w);
    }

    for (size_t i = 1; i < n; i++)
        cin >> s[i] >> v[i];

    deque<LinearFn> q;
    find_shortest_route(0, SIZE_MAX, q);

    for (size_t i = 1; i < n; i++)
        cout << ans[i] << ' ';
    cout << '\n';
}

• Subtask 1: 0 / 100