#include template struct xor_union_find { std::vector d; std::vector p; xor_union_find(int n = 0) : d(n, -1), p(n, 0) {} // returns the leader of x int leader(int x) { if (d[x] < 0) return x; int r = leader(d[x]); p[x] ^= p[d[x]]; return d[x] = r; } // merge x and y with a condition that w = weight(y) ^ weight(x) bool merge(int x, int y, T w) { w ^= potential(x) ^ potential(y); x = leader(x); y = leader(y); if (x == y) return false; if (d[x] > d[y]) std::swap(x, y); d[x] += d[y]; d[y] = x; p[y] = w; return true; } // returns if x and y are connected bool same(int x, int y) { return leader(x) == leader(y); } // returns the size of component that x belongs to int size(int x) { return -d[leader(x)]; } // returns potential(x) := weight(x) ^ weight(leader(x)) long long potential(int x) { leader(x); return p[x]; } }; template struct weighted_union_find { std::vector d; std::vector p; weighted_union_find(int n = 0) : d(n, -1), p(n, 0) {} // returns the leader of x int leader(int x) { if (d[x] < 0) return x; int r = leader(d[x]); p[x] += p[d[x]]; return d[x] = r; } // merge x and y with a condition that w = weight(y) - weight(x) bool merge(int x, int y, T w) { w += potential(x) - potential(y); x = leader(x); y = leader(y); if (x == y) return false; if (d[x] > d[y]) std::swap(x, y), w = -w; d[x] += d[y]; d[y] = x; p[y] = w; return true; } // returns if x and y are connected bool same(int x, int y) { return leader(x) == leader(y); } // returns the size of component that x belongs to int size(int x) { return -d[leader(x)]; } // returns potential(x) := weight(x) - weight(leader(x)) long long potential(int x) { leader(x); return p[x]; } }; #include using mint = atcoder::modint998244353; using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N, Q; cin >> N >> Q; xor_union_find uf(N); int A[Q], B[Q], C[Q]; for (int i = 0; i < Q; i++) { cin >> A[i] >> B[i] >> C[i]; A[i]--; B[i]--; uf.merge(A[i], B[i], C[i]); } for (int i = 0; i < Q; i++) { if ((uf.potential(A[i]) ^ uf.potential(B[i])) != C[i]) { cout << 0 << endl; return 0; } } set leaders; for (int i = 0; i < N; i++) { leaders.insert(uf.leader(i)); } cout << mint(2).pow(leaders.size()).val() << endl; }