CSES-solutions/CSES Problem Set/Road Reparation-prim.cpp
Segcolt 92b195e2c6 Add a MST problem.
I need to give a class about mst and dsu, so I guess I had to find some
problems to do about it.
2024-11-20 15:10:53 -03:00

129 lines
2.5 KiB
C++

/* Problem URL: https://cses.fi/problemset/task/1675 */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
V<V<pair<int, ll>>> graph;
ll prim()
{
priority_queue<pair<ll, int>, V<pair<ll, int>>, greater<>> pq;
V<bool> vis(graph.size(), false);
int remaining = vis.size();
ll cost = 0;
pq.emplace(0, 0);
while (!pq.empty()) {
auto [v, u] = pq.top(); pq.pop();
if (vis[u]) {
continue;
}
vis[u] = true;
remaining--;
cost += v;
for (auto [x, cos] : graph[u]) {
if (!vis[x]) {
pq.emplace(cos, x);
}
}
}
return remaining == 0 ? cost : -1;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
graph.resize(n);
while (m--) {
ll a, b, v;
cin >> a >> b >> v;
a--, b--;
graph[a].emplace_back(b, v);
graph[b].emplace_back(a, v);
}
ll ans = prim();
if (ans == -1) {
cout << "IMPOSSIBLE\n";
return 0;
}
cout << ans << '\n';
}