oj.uz

Submission #1011833

# Submission time Handle Problem Language Result Execution time Memory
1011833 2024-07-01T09:17:22 Z vjudge1 timeismoney (balkan11_timeismoney) C++17
100 / 100
 1925 ms 2920 KB 
// ^^
// <{:3
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,sse4.2,popcnt,tune=native")
//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
#pragma GCC optimize("O3")
#include<bits/stdc++.h>
#define int long signed long int
#define ld long double
using namespace std;
const int maxn = 202;
vector<tuple<ld, ld, int, int>> edges; // c t x y
pair<int, ld> ans; // val, k
map<pair<int, int>, bool> vis;
int p[maxn];
int n, m;

inline void rt() { for(int i = 0; i <= n; ++i) p[i] = i; }

int f(int x)
{
    if(p[x] == x) return x;
    return p[x] = f(p[x]);
}

inline void u(int x, int y)
{
    x = f(x); y = f(y);
    if(x == y) return;
    p[x] = y;
}

pair<int, int> mst(ld k)
{
    vector<tuple<ld, ld, ld, int, int>> v;
    rt();

    for(auto [c, t, x, y] : edges) v.emplace_back(t+k*c, c, t, x, y);
    sort(v.begin(), v.end());

    pair<int, int> ret(0, 0);
    for(auto [val, c, t, x, y] : v)
    {
        if(f(x) != f(y))
        {
            ret.first += c;
            ret.second += t;
            u(x, y);
        }
    }

    return ret;
}

void rec(ld x1, ld y1, ld x2, ld y2)
{
    if(x1 == x2) return;

    ld k = (y1 - y2) / (x1 - x2);

    ld c = y1 - (k * x1);

    pair<int, int> novi = mst(-k);
    if(vis[novi]) return;
    vis[novi] = 1;

    ld y = (k*novi.first) + c;

    if(novi.second >= y) return;

    if(novi.first * novi.second < ans.first)
    {
        ans.first = novi.first * novi.second;
        ans.second = k;
    }

    rec(x1, y1, novi.first, novi.second);
    rec(x2, y2, novi.first, novi.second);
}

signed main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    ans = {1e9, 0};

    cin >> n >> m;

    for(int i = 0; i < m; ++i)
    {
        ld t, c;
        int x, y;
        cin >> x >> y >> t >> c;
        edges.emplace_back(t, c, x, y);
    }

    rt();
    vector<pair<int, int>> minte, mince;
    sort(edges.begin(), edges.end());
    pair<int, int> mint(0, 0);
    for(auto &[t, c, x, y] : edges)
    {
        int xtr = f(x), ytr = f(y);
        if(xtr != ytr)
        {
            mint.first += c;
            mint.second += t;
            minte.emplace_back(x, y);
            u(xtr, ytr);
        }
        swap(t, c);
    }

    rt();
    sort(edges.begin(), edges.end());
    pair<int, int> minc(0, 0);
    for(auto &[c, t, x, y] : edges)
    {
        int xtr = f(x), ytr = f(y);
        if(xtr != ytr)
        {
            minc.first += c;
            minc.second += t;
            mince.emplace_back(x, y);
            u(xtr, ytr);
        }
    }

    rec(minc.first, minc.second, mint.first, mint.second);

    if(minc.first * minc.second < ans.first)
    {
        swap(minc.first, minc.second);
        cout << minc.first << " " << minc.second << "\n";
        for(auto [x, y] : mince) cout << x << " " << y << "\n";
        return 0;
    }
    if(mint.first * mint.second < ans.first)
    {
        swap(mint.first, mint.second);
        cout << mint.first << " " << mint.second << "\n";
        for(auto [x, y] : minte) cout << x << " " << y << "\n";
        return 0;
    }


    rt();
    ld k = -ans.second;
    vector<tuple<ld, ld, ld, int, int>> v;
    for(auto [c, t, x, y] : edges) v.emplace_back(t+k*c, c, t, x, y);

    sort(v.begin(), v.end());

    pair<int, int> ret(0, 0);
    vector<pair<int, int>> ansedge;
    for(auto [val, c, t, x, y] : v)
    {
        if(f(x) != f(y))
        {
            ret.first += c;
            ret.second += t;
            u(x, y);
            ansedge.emplace_back(x, y);
        }
    }

    swap(ret.first, ret.second);
    cout << ret.first << " " << ret.second << "\n";
    for(auto [x, y] : ansedge) cout << x << " " << y << "\n";
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 6 ms 1304 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 600 KB Output is correct
14 Correct 10 ms 564 KB Output is correct
15 Correct 8 ms 348 KB Output is correct
16 Correct 187 ms 1508 KB Output is correct
17 Correct 192 ms 856 KB Output is correct
18 Correct 193 ms 860 KB Output is correct
19 Correct 1925 ms 2920 KB Output is correct
20 Correct 1923 ms 2708 KB Output is correct