#include #include using mint = atcoder::modint998244353; using namespace std; int main() { int n, m; cin >> n >> m; atcoder::dsu uf(n); vector>> g(n); for (int i = 0; i < m; i++){ int a, b, c; cin >> a >> b >> c; a--; b--; g[a].push_back({b, c}); uf.merge(a, b); } mint ans = 1; vector f(n, -1); vector f2(n, -1); vector f_(n); vector f2_(n); for (auto s : uf.groups()){ int c = 0; queue q; q.push(s[0]); f[s[0]] = 0; while (!q.empty()){ int v = q.front(); q.pop(); for (auto p : g[v]){ if (f[p.first] == -1){ f[p.first] = f[v] ^ p.second; q.push(p.first); } } } bool ok = true; q.push(s[0]); while (!q.empty()){ int v = q.front(); q.pop(); for (auto p : g[v]){ if (f_[p.first]){ continue; } if (f[p.first] != (f[v] ^ p.second)){ ok = false; } f_[p.first] = true; q.push(p.first); } } c += ok; q.push(s[0]); f2[s[0]] = 1; while (!q.empty()){ int v = q.front(); q.pop(); for (auto p : g[v]){ if (f2[p.first] == -1){ f2[p.first] = f2[v] ^ p.second; q.push(p.first); } } } ok = true; q.push(s[0]); while (!q.empty()){ int v = q.front(); q.pop(); for (auto p : g[v]){ if (f2_[p.first]){ continue; } if (f2[p.first] != (f2[v] ^ p.second)){ ok = false; } f2_[p.first] = true; q.push(p.first); } } c += ok; ans *= c; } cout << ans.val() << endl; }