Submission #59370

# Submission time Handle Problem Language Result Execution time Memory
59370 2018-07-21T20:50:08 Z Benq timeismoney (balkan11_timeismoney) C++14
100 / 100
450 ms 1000 KB
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)

#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()

const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;

int N,M,r1,r2;

vector<array<int,4>> ed;

bool cmp(array<int,4> x, array<int,4> y) {
    return r1*x[2]+r2*x[3] < r1*y[2]+r2*y[3];
}

template<int SZ> struct DSU {
    int par[SZ], sz[SZ];
    DSU() {
        F0R(i,SZ) par[i] = i, sz[i] = 1;
    }
    
    int get(int x) { // path compression
    	if (par[x] != x) par[x] = get(par[x]);
    	return par[x];
    }
    
    bool unite(int x, int y) { // union-by-rank
    	x = get(x), y = get(y);
    	if (x == y) return 0;
    	if (sz[x] < sz[y]) swap(x,y);
    	sz[x] += sz[y], par[y] = x;
    	return 1;
    }
};

vpi tmp;
pair<pl,vpi> ans = {{MOD,MOD},{}};

pl kruskal() {
    tmp.clear();
    DSU<201> D; 
    sort(all(ed),cmp); 
    ll x = 0, y = 0;
    for (auto a: ed) if (D.unite(a[0],a[1])) {
        tmp.pb({a[0],a[1]});
        x += a[2], y += a[3];
    }
    return {x,y};
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> N >> M;
    F0R(i,M) {
        int x,y,t,c; cin >> x >> y >> t >> c;
        ed.pb({x,y,t,c});
    }
    F0R(i,257) {
        r1 = i, r2 = 256;
        pl z = kruskal();
        if (z.f*z.s < ans.f.f*ans.f.s) ans = {z,tmp};
    }
    F0R(i,257) {
        r1 = 256, r2 = i;
        pl z = kruskal();
        if (z.f*z.s < ans.f.f*ans.f.s) ans = {z,tmp};
    }
    cout << ans.f.f << " " << ans.f.s << "\n";
    for (auto a: ans.s) cout << a.f << " " << a.s << "\n";
}

/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( ) 
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# Verdict Execution time Memory Grader output
1 Correct 9 ms 376 KB Output is correct
2 Correct 3 ms 484 KB Output is correct
3 Correct 3 ms 484 KB Output is correct
4 Correct 5 ms 484 KB Output is correct
5 Correct 19 ms 484 KB Output is correct
6 Correct 11 ms 484 KB Output is correct
7 Correct 62 ms 520 KB Output is correct
8 Correct 280 ms 900 KB Output is correct
9 Correct 3 ms 900 KB Output is correct
10 Correct 3 ms 900 KB Output is correct
11 Correct 2 ms 900 KB Output is correct
12 Correct 5 ms 900 KB Output is correct
13 Correct 4 ms 900 KB Output is correct
14 Correct 14 ms 900 KB Output is correct
15 Correct 10 ms 900 KB Output is correct
16 Correct 65 ms 900 KB Output is correct
17 Correct 66 ms 900 KB Output is correct
18 Correct 74 ms 900 KB Output is correct
19 Correct 450 ms 932 KB Output is correct
20 Correct 424 ms 1000 KB Output is correct