#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e){ cerr << e << endl; } template void debug(vector &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(map &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod){ // 繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0){ ret = 1; } else if (n % 2 == 1){ ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else{ ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod){ return my_pow(x, mod - 2, mod); } int main(){ ll N, Q; cin >> N >> Q; vl A(Q); vl B(Q); vl C(Q); for (ll i = 0; i < Q; i++){ cin >> A[i] >> B[i] >> C[i]; A[i]--; B[i]--; } vvpll graph(N, vpll(0)); rep(i,Q){ graph[A[i]].push_back(pll(B[i], C[i])); graph[B[i]].push_back(pll(A[i], C[i])); } dsu tree(N); for (ll i = 0; i < Q; i++){ tree.merge(A[i], B[i]); } ll ans = 1; vl color(N, -1); queue que; // 連結成分ごとに二部グラフかの判定 for (ll i = 0; i < N; i++){ if (color[i] == -1){ bool pos = true; color[i] = 0; que.push(i); while(que.size()){ ll p = que.front(); que.pop(); for (pll px: graph[p]){ //debug_out(px.first, p, color[px.first], color[p], px.second); if (color[px.first] != -1){ if (color[px.first] != color[p] ^ px.second){ pos = false; break; } else continue; } else{ color[px.first] = color[p] ^ px.second; que.push(px.first); } } } //debug(pos); if (!pos){ ans = (ans * 0LL); } else{ ans = (ans * 2LL) % mod2; } } } //debug(color); cout << ans << endl; }