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Cod sursa(job #534836)
#include<algorithm>
#include<vector>
using namespace std;
#define N_MAX 200010
typedef pair <int,int> p;
vector <p> a[N_MAX];
vector <p> ::iterator it;
int heap[N_MAX],poz[N_MAX];
int tata[N_MAX],cost[N_MAX];
int dimHeap;
bool ut[N_MAX],inHeap[N_MAX];
int n,m,i,j,x,y,z;
int sol;
void upHeap(int x)
{
while(1<x&&cost[ heap[x>>1] ]>cost[ heap[x] ])
{
swap(poz[ heap[x>>1] ],poz[ heap[x] ]);
swap(heap[x>>1],heap[x]);
x=x>>1;
}
}
void downHeap(int x)
{
int st=x<<1;
int dr=(x<<1)+1;
int minim=x;
if(st<=dimHeap&&cost[ heap[st] ]<cost[ heap[minim] ])
minim=st;
if(dr<=dimHeap&&cost[ heap[dr] ]<cost[ heap[minim] ])
minim=dr;
if(minim!=x)
{
swap(poz[ heap[x] ],poz[ heap[minim] ]);
swap(heap[x],heap[minim]);
downHeap(minim);
}
}
void sterge(int x)
{
swap(poz[ heap[x] ],poz[ heap[dimHeap] ]);
swap(heap[x],heap[dimHeap]);
dimHeap--;
if(1<x&&cost[ heap[x>>1] ]>cost[ heap[x] ])
upHeap(x);
else
downHeap(x);
}
void adauga(int nod)
{
heap[++dimHeap]=nod;
poz[nod]=dimHeap;
upHeap(dimHeap);
}
int main()
{
freopen("apm.in","r",stdin);
freopen("apm.out","w",stdout);
scanf("%d%d",&n,&m);
for(i=1;i<=m;i++)
{
scanf("%d%d%d",&x,&y,&z);
a[x].push_back(p(y,z));
a[y].push_back(p(x,z));
}
for(i=2;i<=n;i++)
{
cost[i]=(1<<30);
adauga(i);
}
ut[1]=1;
for(it=a[1].begin();it!=a[1].end();it++)
{
cost[it->first]=it->second;
tata[it->first]=1;
upHeap(poz[it->first]);
}
for(i=1;i<n;i++)
{
x=heap[1];
sterge(1);
ut[x]=1;
for(it=a[x].begin();it!=a[x].end();it++)
{
if(ut[it->first])
continue;
if(cost[it->first]>it->second)
{
cost[it->first]=it->second;
tata[it->first]=x;
upHeap(poz[it->first]);
}
}
}
for(i=2;i<=n;i++)
sol+=cost[i];
printf("%d\n%d\n",sol,n-1);
for(i=2;i<=n;i++)
printf("%d %d\n",tata[i],i);
return 0;
}