Submission #503637

# Submission time Handle Problem Language Result Execution time Memory
503637 2022-01-08T13:53:34 Z XII timeismoney (balkan11_timeismoney) C++17
100 / 100
317 ms 588 KB
/// https://oj.uz/problem/view/balkan11_timeismoney
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

#define fi first
#define se second
#define mp make_pair
#define eb emplace_back
#define ALL(x) (x).begin(), (x).end()

#define FOR(i, a, b) for(int i = (a); i < (b); ++i)
#define FORU(i, a, b) for(int i = (a); i <= (b); ++i)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)

#define IOS cin.tie(0)->sync_with_stdio(false);
#define PROB "balkan11_timeismoney"
void Fi(){
    if(fopen(PROB".inp", "r")){
        freopen(PROB".inp", "r", stdin);
        freopen(PROB".out", "w", stdout);
    }
}

const int N = 200 + 1;
const int M = 10000 + 1;
int n, m;
struct edge{
    int u, v, t, c;
    ll w;
    const bool operator<(const edge &ot){
        return w < ot.w;
    }
};
vector<edge> ed;

using pi = pair<int, int>;
using point = pair<ll, ll>;

int par[N];
void init(){
    FOR(i, 0, n) par[i] = -1;
}
int root(int v){
    return (par[v] < 0) ? v : par[v] = root(par[v]);
}
bool join(int x, int y){
    if((x = root(x)) == (y = root(y))) return false;
    if(-par[x] < -par[y]) swap(x, y);
    par[x] += par[y];
    par[y] = x;
    return true;
}

/// at + bc = X -> slope = -b/a
point ans = {1e9, 1e9};
int cnt;
pi mst[N], tmp[N];

void checkPoint(const point &a){
    if(a.fi * a.se > ans.fi * ans.se) return;
    ans = a;
    FOR(i, 0, n - 1) mst[i] = tmp[i];
}

point Go(ll a, ll b){
    point res = {0, 0};
    for(edge &x: ed){
        x.w = (a * x.t + b * x.c);
    }
    cnt = 0;
    init();
    sort(ALL(ed));
    for(edge x: ed){
        if(join(x.u, x.v)){
            res.fi += x.t;
            res.se += x.c;
            tmp[cnt++] = {x.u, x.v};
        }
    }
    checkPoint(res);
    return res;
}

ll CCW(const point &a, const point &b, const point &c){
    return (b.fi - a.fi) * (c.se - a.se) - (c.fi - a.fi) * (b.se - a.se);
}

void Find(point l, point r){
    point mid = Go(l.se - r.se, r.fi - l.fi);
    if(CCW(l, mid, r) == 0) return;
    checkPoint(mid);
    Find(l, mid);
    Find(mid, r);
}

int main(){
    IOS;
    Fi();
    cin >> n >> m;
    ed.resize(m);
    for(edge &x: ed){
        cin >> x.u >> x.v >> x.t >> x.c;
    }
    point p1 = Go(1, 0); checkPoint(p1);
    point p2 = Go(0, 1); checkPoint(p2);
//    cout << p1.fi << " " << p1.se << "\n";
//    cout << p2.fi << " " << p2.se << "\n";
    Find(p1, p2);
    cout << ans.fi << " " << ans.se << "\n";
    FOR(i, 0, n - 1) cout << mst[i].fi << " " << mst[i].se << "\n";
    return 0;
}

Compilation message

timeismoney.cpp: In function 'void Fi()':
timeismoney.cpp:21:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   21 |         freopen(PROB".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
timeismoney.cpp:22:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   22 |         freopen(PROB".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 4 ms 588 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 3 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 36 ms 332 KB Output is correct
17 Correct 38 ms 328 KB Output is correct
18 Correct 36 ms 332 KB Output is correct
19 Correct 309 ms 588 KB Output is correct
20 Correct 317 ms 588 KB Output is correct