#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 998244353; // constexpr int MOD = 1000000007; constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}; constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template struct Edge { int src, dst; CostType cost; explicit Edge(const int src, const int dst, const CostType cost = 0) : src(src), dst(dst), cost(cost) {} inline bool operator<(const Edge& x) const { if (cost != x.cost) return cost < x.cost; return src != x.src ? src < x.src : dst < x.dst; } inline bool operator<=(const Edge& x) const { return !(x < *this); } inline bool operator>(const Edge& x) const { return x < *this; } inline bool operator>=(const Edge& x) const { return !(*this < x); } }; struct UnionFind { explicit UnionFind(const int n) : data(n, -1) {} int root(const int ver) { return data[ver] < 0 ? ver : data[ver] = root(data[ver]); } bool unite(int u, int v) { u = root(u); v = root(v); if (u == v) return false; if (data[u] > data[v]) std::swap(u, v); data[u] += data[v]; data[v] = u; return true; } bool is_same(const int u, const int v) { return root(u) == root(v); } int size(const int ver) { return -data[root(ver)]; } private: std::vector data; }; int main() { int n, m; cin >> n >> m; vector> edges; edges.reserve(m); REP(_, m) { int a, b, w; cin >> a >> b >> w; --a; --b; edges.emplace_back(a, b, w); } sort(ALL(edges)); UnionFind union_find(n); ll ans = 0; for (const auto [a, b, w] : edges) { if (!union_find.is_same(a, b)) { ans += 1LL * union_find.size(a) * union_find.size(b) * w; union_find.unite(a, b); } } cout << ans << '\n'; return 0; }