#include using namespace std; using ll = long long; struct Weighted_dsu { public: Weighted_dsu() : _n(0) {} Weighted_dsu(int n) : _n(n), parent_or_size(n, -1),diff_weight(n,0) {} bool merge(int a, int b, int w) { int x = leader(a), y = leader(b); if(x==y){ if(diff(a,b)==w)return true; return false; } w ^= diff_weight[a], w ^= diff_weight[b]; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; diff_weight[y] ^= w; return true; } int diff(int x, int y) { leader(x),leader(y); return diff_weight[y] ^ diff_weight[x]; } bool same(int a, int b) { return leader(a) == leader(b); } int leader(int a) { if (parent_or_size[a] < 0) return a; int r = leader(parent_or_size[a]); diff_weight[a] ^= diff_weight[parent_or_size[a]]; return parent_or_size[a] = r; } int size(int a) { return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } private: int _n; std::vector parent_or_size; std::vector diff_weight; }; template struct prime_modint { using mint = prime_modint; unsigned int v; prime_modint() : v(0) {} prime_modint(unsigned int a) { a %= MOD; v = a; } prime_modint(unsigned long long a) { a %= MOD; v = a; } prime_modint(int a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } prime_modint(long long a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } static constexpr int mod() { return MOD; } mint& operator++() {v++; if(v == MOD)v = 0; return *this;} mint& operator--() {if(v == 0)v = MOD; v--; return *this;} mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint& operator+=(const mint& rhs) { v += rhs.v; if(v >= MOD) v -= MOD; return *this; } mint& operator-=(const mint& rhs) { if(v < rhs.v) v += MOD; v -= rhs.v; return *this; } mint& operator*=(const mint& rhs) { v = (unsigned int)((unsigned long long)(v) * rhs.v % MOD); return *this; } mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint pow(long long n) const { assert(0 <= n); mint r = 1, x = *this; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { assert(v); return pow(MOD - 2); } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return (lhs.v == rhs.v); } friend bool operator!=(const mint& lhs, const mint& rhs) { return (lhs.v != rhs.v); } friend std::ostream& operator << (std::ostream &os, const mint& rhs) noexcept { return os << rhs.v; } }; //using mint = prime_modint<1000000007>; using mint = prime_modint<998244353>; int main(){ ios::sync_with_stdio(false); cin.tie(0); int N, Q; cin >> N >> Q; Weighted_dsu uf(N); int u, v, c; mint ans = 1; while(Q--){ cin >> u >> v >> c; u--, v--; if(!uf.merge(u, v, c)){ ans = 0; break; } } ans *= mint(2).pow(uf.groups().size()); cout << ans << '\n'; }