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#include<iostream>
#include<fstream>
using namespace std;
int n,m;
int P[100],D[100],C[100][100];
fstream f("dijkstra.in");
ofstream g("dijkstra.out");
int i,j,k;
int citirecosturi()
{
f>>n; f>>m;
for(int i=0;i<=m;i++)
{ int a,b,c;
f>>a>>b>>c;
C[a][b]=c;
}
/*f>>n;
for(k=1;k<=n;k++)
{
for(i=1;i<=n;i++)
f>>C[k][i];
}*/
return true;
}
int showme()
{
// cout<<endl<<"Distanta este:"<<endl;
for(int i=2; i<=n; i++)
{ g<<P[i]<<" "; }
return true;
}
int init()
{
for (int i=2;i<=n;i++)
{ P[i]=2000000; // verific daca am initializat corect
//nodul de start are costul 0 iar celelalte infinit
if(C[1][i]==0) {D[i]= 2000000;}
else {D[i]=C[1][i];}
}
return true;
}
int dijkstra()
{
int amverificattot=0,k=1;
while(amverificattot==0)
{
for(int i=1;i<=n;i++)
{ //verifica daca exista cost spre alte noduri,adica ce muchii pornesc din acel nod
//pentru acele noduri daca costul gasit(pe care l-am adunat cand am parcurs) este mai mic decat cel existent
//.. daca da,depune noul cost in pozitia caracteristica nodului curent in vectorul D
if(C[k][i]!=2000000 && C[k][i]!=0)
{
if(C[k][i]<P[i] && k==1) {P[i]=C[k][i];}
if(C[k][i]+P[k]<P[i] && P[i]!=0) {P[i]=P[k]+C[k][i];}
}
}
k++;
if(k==n)
amverificattot=1;
}
return true;
}
int main()
{
citirecosturi();
init();
dijkstra();
showme();
}