AtCoder abc257 D
// compile: g++ -o data data.cpp -O3 -std=gnu++20 -Wall -Wextra -Wshadow -D_GLIBCXX_ASSERTIONS -ggdb3 -fmax-errors=2 -DLOCAL
// run: ./data < in/01_random_02.txt
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#ifdef LOCAL
#include <debug/codeforces.h>
#define debug(x...) _debug_print(#x, x);
#else
#define debug(x...)
#endif
template<typename...Args> void print_(Args...args){((cout<<args<<" "),...)<<endl;}
#define rep(i,a,b) for(int i=(a);i<(int)(b);++i)
#define sz(v) ((int)(v).size())
#define print(...) print_(__VA_ARGS__);
#define INTMAX (int)(9223372036854775807)
#define INF (int)(1152921504606846976)
#define double long double
#define int long long
#define MAXN 200010

int n;
struct graph {
    struct node {
        int u, v;
        double w;
    };
    vector<vector<node>> e;
    int n, m;
    bool directed;
    vector<int> vis;
    graph(int V, bool D = 0) {
        n = V;
        e.resize(n);
        vis.resize(n);
        directed = D;
    }
    void add_edge(int u, int v, double w = 1) {
        e[u].push_back(node{u, v, w});
        ++m;
    }
    void graphviz_dump(string filename = "graph.dot") {
        ofstream gf;
        gf.open(filename);
        gf << (directed ? "digraph" : "graph") << " {\n";
        gf << "    "; rep(i, 0, n) gf << i << " ;"[i==n-1]; gf << endl;
        string notation = directed ? " -> " : " -- ";
        for (auto es: e) {
            for (auto edge: es) {
                gf << "    " << edge.u << notation << edge.v << (directed ? " ;\n" : ";\n");
            }
        }
        gf << "}\n";
    }
    int cnt = 0;
    void dfs(int u, double th) {
        vis[u] = 1;
        ++cnt;
        for (auto ed: e[u]) {
            if (ed.w > th) continue;
            if (!vis[ed.v]) dfs(ed.v, th);
        }
    }
    bool solve(double th) {
        rep(i, 0, n) {
            cnt = 0;
            fill(vis.begin(), vis.end(), 0);
            dfs(i, th);
            if (cnt == n) return 1;
        }
        return 0;
    }
};

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);

    cin >> n;
    vector<int> x(n), y(n), p(n);
    rep(i, 0, n) cin >> x[i] >> y[i] >> p[i];
    graph g(n);
    rep(i, 0, n) rep(j, 0, n) {
        if (i == j) continue;
        g.add_edge(i, j, (abs(x[i] - x[j]) + abs(y[i] - y[j])) * 1.0 / p[i]);
    }
    double l = 0, r = 1e10, mid = (l + r) / 2;
    while (r-l > 0.01) {
        mid = (l + r) / 2;
        if (g.solve(mid)) r = mid;
        else l = mid;
    }
    cout << (int)ceil(mid - 0.01) << endl;

    return 0;
}
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Source: github.com/k4yt3x/flowerhd
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