Submission #682404

# Submission time Handle Problem Language Result Execution time Memory
682404 2023-01-16T08:09:17 Z lam timeismoney (balkan11_timeismoney) C++14
70 / 100
2000 ms 3688 KB
#include <bits/stdc++.h>
#define int long long
using namespace std;
typedef pair<int,int> ii;
typedef pair<int,ii> iii;
#define ff first
#define ss second

const int maxn = 1e6 + 10;
int u[maxn],v[maxn],t[maxn],c[maxn],w[maxn],id[maxn],used[maxn];
int n,m;
int p[maxn],s[maxn];

void reset()
{
    for (int i=1; i<=n; i++) p[i]=i, s[i]=1;
}

int get(int x)
{
    return p[x]=(p[x]==x)?x:get(p[x]);
}

bool cmp(int x, int y)
{
    return w[x]<w[y];
}

bool hop(int x, int y)
{
    x=get(x); y=get(y);
    if (x==y) return 0;
    if (s[x]>s[y]) swap(x,y);
    s[y]+=s[x];
    p[x]=y;
    return 1;
}

ii mst(int T, int C)
{
//    cout<<T<<" +++ "<<C<<'\n';
    int g = __gcd(T,C);
    T/=g; C/=g;
    for (int i=1; i<=m; i++) w[i]=T*t[i]+C*c[i];
    sort(id+1,id+m+1,cmp);
    fill_n(used,m+1,0);
    ii ans={0,0};
    reset();
    for (int i=1; i<=m; i++)
    {
        if (hop(u[id[i]],v[id[i]]))
        {
//            cout<<u[id[i]]<<" = "<<v[id[i]]<<" !!!!!!!!!!!!\n";
            used[id[i]]=1;
            ans.ff+=t[id[i]];
            ans.ss+=c[id[i]];
        }
    }
    return ans;
}

bool straight(ii x, ii y, ii z)
{
    return x.ff*(y.ss-z.ss) + y.ff*(z.ss-x.ss) + z.ff*(x.ss-y.ss) >0;
}

iii res;

void dnc(ii x, ii y)
{
    if (x==y) return;
//    cout<<x.ff<<','<<x.ss<<" : "<<y.ff<<','<<y.ss<<'\n';
    ii z = mst(x.ss-y.ss, y.ff-x.ff);
    res=min(res,{z.ff*z.ss,{x.ss-y.ss, y.ff-x.ff}});
    if (x==z||y==z||straight(x,y,z)) return;
    dnc(x,z); dnc(z,y);
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    cin>>n>>m;
    for (int i=1; i<=m; i++)
    {
        cin>>u[i]>>v[i]>>t[i]>>c[i];
        u[i]++; v[i]++;
    }
    for (int i=1; i<=m; i++) id[i]=i;
    ii x = mst(1,0); ii y=mst(0,1);
    res={x.ff*x.ss,{1,0}};
    res=min(res,{y.ff*y.ss,{0,1}});
    dnc(x,y);
    x = mst(res.ss.ff,res.ss.ss);
    cout<<x.ff<<' '<<x.ss<<'\n';
    for (int i=1; i<=m; i++)
    {
        if (used[i]) cout<<u[i]-1<<' '<<v[i]-1<<'\n';
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 5 ms 852 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 4 ms 340 KB Output is correct
15 Incorrect 3 ms 340 KB Output isn't correct
16 Execution timed out 2079 ms 3652 KB Time limit exceeded
17 Execution timed out 2085 ms 2676 KB Time limit exceeded
18 Execution timed out 2068 ms 3688 KB Time limit exceeded
19 Execution timed out 2070 ms 1636 KB Time limit exceeded
20 Execution timed out 2076 ms 1560 KB Time limit exceeded