OJ-Problems-Source/HDOJ/5723.cpp

121 lines
2.4 KiB
C++

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <vector>
using namespace std;
#define MAXN 100100
#define MAXM 1000100
#define MAXW 1000100
using LL = long long;
struct edge
{
int u,v,w;
};
bool cmp(const edge& a,const edge& b)
{
return a.w<b.w;
}
edge bus[MAXM];
int father[MAXN];
char vis[MAXN];
/// Global For DFS
int n,m;
vector<pair<int,int>> vec[MAXN];
int findfather(int x)
{
return father[x]==x?x:father[x]=findfather(father[x]);
}
/// Global For DFS
LL totalans;
LL dfs(int index)
{
vis[index]=1;
int sz=vec[index].size();
LL ksum=0;
LL nextans=0;
for(int i=0;i<sz;i++)
{
int tt=vec[index].at(i).first;
if(!vis[tt])
{
nextans=dfs(tt);
ksum+=nextans;
totalans+=(n-nextans)*nextans*vec[index].at(i).second;
}
}
return 1+ksum;
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
scanf("%d %d",&n,&m);
/// ...
if(n==0||m==0)
{
printf("0 0.00\n");
continue;
}
for(int i=0;i<=n;i++)
{
father[i]=i;
}
for(int i=0;i<MAXN;i++)
{
vec[i].clear();
}
memset(vis,0,sizeof(vis));
for(int i=0;i<m;i++)
{
scanf("%d %d %d",&bus[i].u,&bus[i].v,&bus[i].w);
}
sort(bus,bus+m,cmp);
LL sum=0;
int ss=0;
for(int cc=0;cc<m&&ss<n-1;cc++)
{
/// father[x]==x : x is standalone
int fu=findfather(bus[cc].u);
int fv=findfather(bus[cc].v);
if(fu!=fv)
{
father[fu]=fv;
++ss;
sum+=bus[cc].w;
vec[bus[cc].u].push_back(make_pair(bus[cc].v,bus[cc].w));
vec[bus[cc].v].push_back(make_pair(bus[cc].u,bus[cc].w));
}
}
int b;
for(b=1;b<=n;b++)
/// FAQ: Why == 1 ? ANS: Because Nodes At the Edge of the graph has only 1 route.
if(vec[b].size()==1) break;
totalans=0;
dfs(b);
/// What The Hell ?
/// This Type is WRONG:
/// double ans=n*(n-1)/2.0;
/// But this type is Accepted !??
/// double ans=0.5*n*(n-1);
double tans=0.5*n*(n-1);
/// Use Long Long?
printf("%I64d %.2lf\n",sum,(double)totalans/tans);
}
return 0;
}