Submission #686605

#TimeUsernameProblemLanguageResultExecution timeMemory
686605wiwihotimeismoney (balkan11_timeismoney)C++17
90 / 100
2084 ms724 KiB
#include <bits/stdc++.h>
#include <bits/extc++.h>

#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
    if(pvaspace) b << " "; \
    pvaspace=true;\
    b << pva;\
}\
b << "\n";}
#define SZ(a) int(a.size())

using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef unsigned long long ull;
//typedef long double ld;

using pii = pair<int, int>;
using pll = pair<ll, ll>;
//using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;

const ll MOD = 1000000007;
const ll MAX = 2147483647;

template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
    return o << '(' << p.F << ',' << p.S << ')';
}

ll ifloor(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a < 0) return (a - b + 1) / b;
    else return a / b;
}

ll iceil(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a > 0) return (a + b - 1) / b;
    else return a / b;
}

struct DSU{
    vector<int> dsu;
    void initDSU(int n){
        dsu.resize(n + 1);
        iota(iter(dsu), 0);
    }
    int findDSU(int a){
        if(dsu[a] != a) dsu[a] = findDSU(dsu[a]);
        return dsu[a];
    }
    void unionDSU(int a, int b){
        a = findDSU(a); b = findDSU(b);
        dsu[b] = a;
    }
};

#define X F
#define Y S

pll operator-(pll p1, pll p2){
    return mp(p1.X - p2.X, p1.Y - p2.Y);
}
ll cross(pll p1, pll p2){
    return p1.X * p2.Y - p1.Y * p2.X;
}

int main(){
    StarBurstStream;

    int n, m;
    cin >> n >> m;

    vector<pii> e(m);
    vector<ll> wt(m), wc(m);
    for(int i = 0; i < m; i++){
        int u, v, t, c;
        cin >> u >> v >> t >> c;
        u++; v++;
        e[i] = mp(u, v);
        wt[i] = t;
        wc[i] = c;
    }

    ll anst = 1e9, ansc = 1e9;
    vector<int> anse;

    auto calc = [&](function<bool(int, int)> comp){
        vector<int> id(m);
        iota(iter(id), 0);
        sort(iter(id), comp);
        DSU dsu;
        dsu.initDSU(n);
        ll tt = 0, tc = 0;
        vector<int> ok;
        for(int i : id){
            int u, v;
            tie(u, v) = e[i];
            if(dsu.findDSU(u) == dsu.findDSU(v)) continue;
            ok.eb(i);
            dsu.unionDSU(u, v);
            tt += wt[i]; tc += wc[i];
        }
        if(anst * ansc > tt * tc){
            anst = tt; ansc = tc;
            anse = ok;
        }
        return mp(tt, tc);
    };

    function<void(pll, pll)> solve = [&](pll p1, pll p2){
        //cerr << "solve " << p1 << " " << p2 << "\n";
        if(p1 == p2) return;
        ll dx = p2.X - p1.X;
        ll dy = p2.Y - p1.Y;
        pll p = calc([&](int x, int y){
            return dy * wt[x] - dx * wc[x] > dy * wt[y] - dx * wc[y];
        });
        if(cross(p - p1, p2 - p1) <= 0) return;
        //cerr << "done " << p << "\n";
        solve(p1, p);
        solve(p, p2);
    };
    pll p1 = calc([&](int x, int y){ return wt[x] < wt[y]; });
    pll p2 = calc([&](int x, int y){ return wt[x] > wt[y]; });
    solve(p1, p2);

    cout << anst << " " << ansc << "\n";
    for(int i : anse){
        cout << e[i].F - 1 << " " << e[i].S - 1 << "\n";
    }

    return 0;
}
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