Submission #1010568

# Submission time Handle Problem Language Result Execution time Memory
1010568 2024-06-29T08:13:15 Z vjudge1 timeismoney (balkan11_timeismoney) C++17
95 / 100
2000 ms 2948 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<ld, 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);
    if(vis[k]) return;
    vis[k] = 1;


    ld c = y1 - (k * x1);

    pair<int, int> novi = mst(-k);

    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";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 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 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 6 ms 1368 KB Output is correct
9 Correct 1 ms 600 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 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 11 ms 572 KB Output is correct
15 Correct 8 ms 348 KB Output is correct
16 Correct 219 ms 860 KB Output is correct
17 Correct 220 ms 856 KB Output is correct
18 Correct 206 ms 844 KB Output is correct
19 Correct 1990 ms 2716 KB Output is correct
20 Execution timed out 2035 ms 2948 KB Time limit exceeded