#include using namespace std ; #define fast_input_output ios::sync_with_stdio(false); cin.tie(nullptr); // #pragma GCC target("avx2") // #pragma GCC optimize("O3") #pragma GCC target("avx") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") typedef long long ll ; typedef long double ld ; typedef pair P ; typedef tuple TP ; #define chmin(a,b) a = min(a,b) #define chmax(a,b) a = max(a,b) #define bit_count(x) __builtin_popcountll(x) #define gcd(a,b) __gcd(a,b) #define lcm(a,b) a / gcd(a,b) * b #define rep(i,n) for(int i = 0 ; i < n ; i++) #define rrep(i,a,b) for(int i = a ; i < b ; i++) #define repi(it,S) for(auto it = S.begin() ; it != S.end() ; it++) #define pt(a) cout << a << endl #define DEBUG(...) ; cout << #__VA_ARGS__ << endl ; for(auto x : {__VA_ARGS__}) cout << x << " " ; cout << endl ; #define DEBUG_LIST(...) cout << #__VA_ARGS__ << endl ; DEBUG_REP(__VA_ARGS__) ; #define DEBUG_REP(V) cout << "{ " ; repi(itr,V) cout << *itr << ", " ; cout << "}" << endl ; #define debug(a) cout << #a << " " << a << endl #define all(a) a.begin(), a.end() #define endl "\n" const int mod = 998244353 ; template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< mod >; struct UnionFind { private: vector par ; //親 vector lank ; //木の深さ vector volume ; //構成する集合のサイズ vector edge ; //構成する集合の辺の数 public: UnionFind(int n){ //n要素で初期化 par.resize(n) ; lank.resize(n) ; volume.resize(n) ; edge.resize(n) ; for(int i = 0 ; i < n ; i++){ par[i] = i ; lank[i] = 0 ; volume[i] = 1 ; edge[i] = 0 ; } } //木の根を求める int root(int x) { if(par[x] == x) return x ; else return par[x] = root(par[x]) ; } //xとyの属する集合を合併 void unite(int x , int y){ x = root(x); y = root(y) ; if(x == y) { edge[x]++ ; return ; } if(lank[x] < lank[y]){ par[x] = y ; volume[y] += volume[x] ; edge[y] += edge[x] + 1 ; } else { par[y] = x ; volume[x] += volume[y] ; edge[x] += edge[y] + 1 ; if(lank[x] == lank[y]) lank[x]++ ; } } bool same(int x , int y) { return root(x) == root(y) ; } int size(int x) { return volume[root(x)] ; } int edge_num(int x) { return edge[root(x)] ; } }; int n, q; struct edge{ int to; int t; }; vector G[101010]; int BL[101010]; bool dfs(int v, int prev){ bool b = true; for(edge e : G[v]){ int u = e.to; int val = (BL[v] + e.t) % 2; if(BL[u] != -1) { if(BL[u] != val) return false; continue; } if(u == prev) continue; BL[u] = val; b &= dfs(u,v); } return b; } int main(){ fast_input_output cin >> n >> q; UnionFind uf(n); vector A(q), B(q), C(q); rep(i,q) cin >> A[i] >> B[i] >> C[i], A[i]--, B[i]--; rep(i,q){ int a = A[i], b = B[i]; uf.unite(a,b); bool c = C[i]; G[a].push_back({b,c}); G[b].push_back({a,c}); } rep(i,n) BL[i] = -1; modint res = 1; rep(i,n){ if(BL[i] != -1) continue; BL[i] = 0; if(!dfs(i,-1)){ cout << 0 << endl; return 0; } res *= 2; } cout << res << endl; }