oj.uz

Submission #223093

# Submission time Handle Problem Language Result Execution time Memory
223093 2020-04-14T17:59:19 Z dolphingarlic timeismoney (balkan11_timeismoney) C++14
100 / 100
 420 ms 896 KB 
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

int n, m;

struct Line {
    int u, v;
    ll t, c, w;

    bool operator<(Line B) { return w < B.w; }
} lines[10000];

struct Point {
    ll x, y;
};

bool collinear(Point A, Point B, Point C){
	return (B.x - A.x) * (C.y - A.y) == (B.y - A.y) * (C.x - A.x);
}

int cmp[200];

int find(int A) {
    while (A != cmp[A]) cmp[A] = cmp[cmp[A]], A = cmp[A];
    return A;
}

void onion(int A, int B) { cmp[find(A)] = cmp[find(B)]; }

ll best_t = INT_MAX, best_c = INT_MAX;
vector<Line> best_res;

Point mst(ll dx, ll dy) {
    FOR(i, 0, m) lines[i].w = dy * lines[i].t + dx * lines[i].c;
    sort(lines, lines + m);
    iota(cmp, cmp + n, 0);

    ll t = 0, c = 0;
    vector<Line> res;
    FOR(i, 0, m) {
        if (find(lines[i].u) != find(lines[i].v)) {
            t += lines[i].t;
            c += lines[i].c;
            onion(lines[i].u, lines[i].v);
            res.push_back(lines[i]);
        }
    }
    if (t * c < best_t * best_c) {
        best_t = t, best_c = c;
        best_res = res;
    }

    return {t, c};
}

void recurse(Point A, Point B) {
    Point C = mst(B.x - A.x, A.y - B.y);
    if (collinear(A, B, C)) return;
    recurse(A, C);
    recurse(C, B);
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> m;
    FOR(i, 0, m) cin >> lines[i].u >> lines[i].v >> lines[i].t >> lines[i].c;
    
    Point A = mst(0, 1), B = mst(1, 0);
    recurse(A, B);

    cout << best_t << ' ' << best_c << '\n';
    for (Line i : best_res) cout << i.u << ' ' << i.v << '\n';
    return 0;
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 10 ms 768 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 8 ms 384 KB Output is correct
15 Correct 7 ms 384 KB Output is correct
16 Correct 54 ms 384 KB Output is correct
17 Correct 56 ms 384 KB Output is correct
18 Correct 53 ms 384 KB Output is correct
19 Correct 410 ms 768 KB Output is correct
20 Correct 420 ms 896 KB Output is correct