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minimum_spanning_tree.cpp
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64 lines (60 loc) · 958 Bytes
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#include <utility>
#include <vector>
#include <algorithm>
using namespace std;
int id[10001];
int edges;
void initialize(int n)
{
for(int i=0;i<(n+1);i++)
id[i]=i;
}
int root(int i)#include <iostream>
#in
{
while(id[i]!=i)
{
id[i]=id[id[i]];
i=id[i];
}
return i;
}
void unixo(int x,int y)
{
int p=root(x);
int q=root(y);
id[p]=id[q];
}
int kruskal(vector<pair<int ,pair<int ,int > > > a)
{int x,y;
long long min=0,cost;
for(int i=0;i<edges;i++)
{
cost=a[i].first;
x=a[i].second.first;
y=a[i].second.second;
if(root(x)!=root(y))
{
min+=cost;
unixo(x,y);
}
}
return min;
}
int main()
{
int n;
cin>>n>>edges;
initialize(n);
vector<pair<int ,pair<int ,int > > > a;
for(int i=0;i<edges;i++)
{
int d,b,c;
cin>>b>>c>>d;
a.push_back(make_pair(d,make_pair(b,c)));
}
sort(a.begin(),a.end());
int minxd=kruskal(a);
cout<<minxd;
return 0;
}