programming-examples/c++/Basic/Prim.cpp

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2019-11-18 14:44:36 +01:00
#include <vector>
#include <queue>
#include <climits>
#include <iostream>
using namespace std;
typedef pair<int, int> pii;
typedef vector<vector<pii> > Graph;
long long prim(Graph &g, vector<int> &pred) {
int n = g.size();
pred.assign(n, -1);
vector<bool> vis(n);
vector<int> prio(n, INT_MAX);
prio[0] = 0;
priority_queue<pii, vector<pii> , greater<pii> > q;
q.push(make_pair(prio[0] , 0));
long long res = 0;
while (!q.empty()) {
int d = q.top().first;
int u = q.top().second;
q.pop();
if (vis[u])
continue;
vis[u] = true;
res += d;
for (int i = 0; i < (int) g[u].size(); i++) {
int v = g[u][i].first;
if (vis[v])
continue;
int nprio = g[u][i].second;
if (prio[v] > nprio) {
prio[v] = nprio;
pred[v] = u;
q.push(make_pair(nprio, v));
}
}
}
return res;
}
int main() {
Graph g(3);
g[0].push_back(make_pair(1, 10));
g[1].push_back(make_pair(0, 10));
g[1].push_back(make_pair(2, 10));
g[2].push_back(make_pair(1, 10));
g[2].push_back(make_pair(0, 5));
g[0].push_back(make_pair(2, 5));
vector<int> pred;
long long res = prim(g, pred);
cout << res << endl;
}