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135
graph/kruskal.cpp
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135
graph/kruskal.cpp
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#include <iostream>
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//#include <boost/multiprecision/cpp_int.hpp>
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//using namespace boost::multiprecision;
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const int mx = 1e6 + 5;
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const long int inf = 2e9;
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typedef long long ll;
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#define rep(i, n) for (i = 0; i < n; i++)
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#define repp(i, a, b) for (i = a; i <= b; i++)
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#define pii pair<int, int>
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#define vpii vector<pii>
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#define vi vector<int>
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#define vll vector<ll>
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#define r(x) scanf("%d", &x)
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#define rs(s) scanf("%s", s)
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#define gc getchar_unlocked
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#define pc putchar_unlocked
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#define mp make_pair
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#define pb push_back
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#define lb lower_bound
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#define ub upper_bound
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#define endl "\n"
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#define fast \
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ios_base::sync_with_stdio(false); \
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cin.tie(NULL); \
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cout.tie(NULL);
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using namespace std;
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void in(int &x)
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{
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register int c = gc();
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x = 0;
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int neg = 0;
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for (; ((c < 48 || c > 57) && c != '-'); c = gc())
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;
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if (c == '-')
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{
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neg = 1;
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c = gc();
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}
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for (; c > 47 && c < 58; c = gc())
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{
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x = (x << 1) + (x << 3) + c - 48;
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}
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if (neg)
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x = -x;
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}
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void out(int n)
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{
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int N = n, rev, count = 0;
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rev = N;
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if (N == 0)
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{
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pc('0');
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return;
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}
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while ((rev % 10) == 0)
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{
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count++;
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rev /= 10;
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}
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rev = 0;
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while (N != 0)
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{
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rev = (rev << 3) + (rev << 1) + N % 10;
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N /= 10;
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}
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while (rev != 0)
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{
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pc(rev % 10 + '0');
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rev /= 10;
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}
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while (count--)
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pc('0');
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}
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ll parent[mx], arr[mx], node, edge;
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vector<pair<ll, pair<ll, ll>>> v;
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void initial()
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{
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int i;
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rep(i, node + edge)
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parent[i] = i;
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}
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int root(int i)
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{
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while (parent[i] != i)
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{
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parent[i] = parent[parent[i]];
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i = parent[i];
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}
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return i;
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}
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void join(int x, int y)
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{
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int root_x = root(x); //Disjoint set union by rank
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int root_y = root(y);
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parent[root_x] = root_y;
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}
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ll kruskal()
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{
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ll mincost = 0, i, x, y;
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rep(i, edge)
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{
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x = v[i].second.first;
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y = v[i].second.second;
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if (root(x) != root(y))
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{
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mincost += v[i].first;
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join(x, y);
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}
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}
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return mincost;
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}
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int main()
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{
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fast;
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while (1)
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{
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int i, j, from, to, cost, totalcost = 0;
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cin >> node >> edge; //Enter the nodes and edges
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if (node == 0 && edge == 0)
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break; //Enter 0 0 to break out
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initial(); //Initialise the parent array
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rep(i, edge)
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{
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cin >> from >> to >> cost;
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v.pb(mp(cost, mp(from, to)));
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totalcost += cost;
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}
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sort(v.begin(), v.end());
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// rep(i,v.size())
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// cout<<v[i].first<<" ";
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cout << kruskal() << endl;
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v.clear();
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}
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return 0;
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}
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