#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 |