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Cod sursa(job #391821)
/*
* File: main.cpp
* Author: virtualdemon
*
* Created on February 6, 2010, 11:38 AM
*/
#include <fstream>
#define Nmax 200000
#define inf 0x3f3f3f3f
/*
*
*/
using namespace std;
struct list
{
int cost;
int vertex;
list *next;
} *L[Nmax];
int N;
int Heap[Nmax], Position[Nmax], cmin[Nmax], apm[Nmax];
inline void swap( int& x, int& y )
{
int aux=x;
x=y;
y=aux;
}
inline void push( int x, int y, int c )
{
list *q;
q=new list;
q->cost=c; q->vertex=y;
q->next=L[x];
L[x]=q;
}
void DownHeap( int k )
{
int son;
while( true )
{
son=2*k;
if( son > N )
return;
if( son < N && cmin[Heap[son]] > cmin[Heap[son+1]] )
son+=1;
if( cmin[Heap[son]] >= cmin[Heap[k]] )
return;
swap( Position[Heap[k]], Position[Heap[son]] );
swap( Heap[k], Heap[son] );
k=son;
}
}
void UpHeap( int k )
{
int key=cmin[Heap[k]], f=k/2;
while( k > 1 && key < cmin[Heap[f]] )
{
swap( Position[Heap[k]], Position[Heap[f]] );
swap( Heap[k], Heap[f] );
k=f;
f=k/2;
}
}
void cut_root()
{
swap( Position[Heap[1]], Position[Heap[N]] );
Position[Heap[1]]=-1;
swap( Heap[1], Heap[N] );
--N;
DownHeap(1);
}
int main( void )
{
list *p;
int n, m, x, y, c, v, s=0;
ifstream in("apm.in");
in>>n>>m;
for( x=0; x < n; ++x )
Position[x]=cmin[x]=inf;
for( ; m; --m )
{
in>>x>>y>>c;
x-=1;
y-=1;
push( x, y, c );
push( y, x, c );
}
cmin[0]=0;
++N;
Position[0]=1;
for( m=n; m; --m )
{
v=Heap[1];
s+=cmin[v];
cut_root();
for( p=L[v]; p; p=p->next )
{
if( -1 == Position[p->vertex] )
continue;
if( cmin[p->vertex] > p->cost )
{
apm[p->vertex]=v;
cmin[p->vertex]=p->cost;
if( inf == Position[p->vertex] )
{
Heap[++N]=p->vertex;
Position[p->vertex]=N;
}
UpHeap( Position[p->vertex] );
}
}
}
ofstream out("apm.out");
out<<s<<' '<<(n-1)<<'\n';
for( x=1; x <n; ++x )
out<<(x+1)<<' '<<(apm[x]+1)<<'\n';
return 0;
}