#include <string>
#include <vector>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<stack>
#include<queue>
#include<cmath>
#include<algorithm>
#include<functional>
#include<list>
#include<deque>
#include<bitset>
#include<set>
#include<map>
#include<unordered_map>
#include<unordered_set>
#include<cstring>
#include<sstream>
#include<complex>
#include<iomanip>
#include<numeric>
#include<cassert>
#define X first
#define Y second
#define pb push_back
#define rep(X,Y) for (int (X) = 0;(X) < (Y);++(X))
#define reps(X,S,Y) for (int (X) = S;(X) < (Y);++(X))
#define rrep(X,Y) for (int (X) = (Y)-1;(X) >=0;--(X))
#define rreps(X,S,Y) for (int (X) = (Y)-1;(X) >= (S);--(X))
#define repe(X,Y) for ((X) = 0;(X) < (Y);++(X))
#define peat(X,Y) for (;(X) < (Y);++(X))
#define all(X) (X).begin(),(X).end()
#define rall(X) (X).rbegin(),(X).rend()
#define eb emplace_back
#define UNIQUE(X) (X).erase(unique(all(X)),(X).end())
#define Endl endl

using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
template<class T> using vv=vector<vector<T>>;
template<class T> ostream& operator<<(ostream &os, const deque<T> &t) {
os<<"{"; rep(i,t.size()) {os<<t[i]<<",";} os<<"}"<<endl; return os;}
template<class T> ostream& operator<<(ostream &os, const vector<T> &t) {
os<<"{"; rep(i,t.size()) {os<<t[i]<<",";} os<<"}"<<endl; return os;}
template<class T,size_t n> ostream& operator<<(ostream &os, const array<T,n> &t) {
	os<<"{"; rep(i,n) {os<<t[i]<<",";} os<<"}"<<endl; return os;}
template<class S, class T> ostream& operator<<(ostream &os, const pair<S,T> &t) { return os<<"("<<t.first<<","<<t.second<<")";}
template<class S, class T,class U> ostream& operator<<(ostream &os, const tuple<S,T,U> &t) { return os<<"("<<get<0>(t)<<","<<get<1>(t)<<","<<get<2>(t)<<")";}
template<class S, class T,class U,class V> ostream& operator<<(ostream &os, const tuple<S,T,U,V> &t) { return os<<"("<<get<0>(t)<<","<<get<1>(t)<<","<<get<2>(t)<<","<<get<3>(t)<<")";}
template<class S, class T,class U,class V,class W> ostream& operator<<(ostream &os, const tuple<S,T,U,V,W> &t) { return os<<"("<<get<0>(t)<<","<<get<1>(t)<<","<<get<2>(t)<<","<<get<3>(t)<<","<<get<4>(t)<<")";}
template<class T> inline bool MX(T &l,const T &r){return l<r?l=r,1:0;}
template<class T> inline bool MN(T &l,const T &r){return l>r?l=r,1:0;}
//#undef NUIP
#ifdef NUIP
#define out(args...){vector<string> a_r_g_s=s_p_l_i_t(#args, ','); e_r_r(a_r_g_s.begin(), args); }
vector<string> s_p_l_i_t(const string &s, char c){vector<string> v;int d=0,f=0;string t;for(char c:s){if(!d&&c==',')v.pb(t),t="";else t+=c;if(c=='\"'||c=='\'')f^=1;if(!f&&c=='(')++d;if(!f&&c==')')--d;}v.pb(t);return move(v);}
void e_r_r(vector<string>::iterator it) {}
template<typename T, typename... Args> void e_r_r(vector<string>::iterator it, T a, Args... args){ if(*it==" 1"||*it=="1") cerr<<endl; else cerr << it -> substr((*it)[0] == ' ', it -> length()) << " = " << a << ", "; e_r_r(++it, args...);}
#else
#define out
#endif
#ifdef __cpp_init_captures
template<typename T>vector<T> table(int n, T v){ return vector<T>(n, v);}
template <class... Args> auto table(int n, Args... args){auto val = table(args...); return vector<decltype(val)>(n, move(val));}
#endif
const ll MOD=998244353;

ll modpow(ll r,ll n,ll m=MOD){
  ll re=1,d=r%m;
  if(n<0)(n%=m-1)+=m-1;
  for(;n;n/=2){
    if(n&1)(re*=d)%=m;
    (d*=d)%=m;
  }
  return re;
}
template <int mod=MOD> struct modInt{
  int v;
  modInt(int v=0):v(v){}
  modInt operator+(const modInt &n)const{return v+n.v<mod ? v+n.v : v+n.v-mod;}
  modInt operator-(const modInt &n)const{return v-n.v<0 ? v-n.v+mod : v-n.v;}
  modInt operator*(const modInt &n)const{return ll(v)*n.v%mod;}
  modInt operator/(const modInt &n)const{return ll(v)*modpow(n.v%mod,-1,mod)%mod;}
  modInt operator+(const ll &n)const{return v+n<mod ? v+n : v+n-mod;}
  modInt operator-(const ll &n)const{return v-n<0 ? v-n+mod : v-n;}
  modInt operator*(const ll &n)const{return ll(v)*(n%mod)%mod;}
  modInt operator/(const ll &n)const{return ll(v)*modpow(n%mod,-1,mod)%mod;}
  modInt& operator+=(const modInt &n){v+=n.v; if(v>=mod) v-=mod; return *this;}
  modInt& operator-=(const modInt &n){v-=n.v; if(v<0) v+=mod; return *this;}
  modInt& operator*=(const modInt &n){v=ll(v)*n.v%mod; return *this;}
  modInt& operator/=(const modInt &n){v=ll(v)*modpow(n.v,-1,mod)%mod; return *this;}
  modInt& operator+=(const ll &n){v+=n; if(v>=mod) v-=mod; return *this;}
  modInt& operator-=(const ll &n){v-=n; if(v<0) v+=mod; return *this;}
  modInt& operator*=(const ll &n){v=ll(v)*n%mod; return *this;}
  modInt& operator/=(const ll &n){v=ll(v)*modpow(n,-1,mod)%mod; return *this;}
};
template<int mod> ostream& operator<<(ostream &os,const modInt<mod> &n){return os<<n.v;};
template<int mod> modInt<mod> operator+(const ll &n,const modInt<mod> &m){return m.v+n<mod ? m.v+n : m.v+n-mod;}
template<int mod> modInt<mod> operator-(const ll &n,const modInt<mod> &m){return n-m.v<0 ? n-m.v+mod : n-m.v;}
template<int mod> modInt<mod> operator*(const ll &n,const modInt<mod> &m){return ll(m.v)*(n%mod)%mod;}
template<int mod> modInt<mod> operator/(const ll &n,const modInt<mod> &m){return ll(m.v)*modpow(n%mod,-1,mod)%mod;}
typedef modInt<MOD> mint;
template <int mod> modInt<mod> modpow(modInt<mod> r,ll n){ modInt<mod> re(1); if(n<0)(n%=mod-1)+=mod-1; for(;n;n/=2){if(n&1) re*=r; r*=r;} return re;}
vector<mint> fact,finv,inv;
mint comb(ll n,ll r){ if(n<r||r<0)return 0; return fact[n]*finv[n-r]*finv[r];}
class Doralion{
  void Modinvs(vector<mint> &re,int n){ re.resize(n+1); re[1]=1; for(int i=2;i<=n;++i)re[i]=re[MOD%i]*(MOD-MOD/i);}
  void Facts(vector<mint> &re,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*(i+1);}
  void Factinvs(vector<mint> &re,const vector<mint> &inv,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*inv[i+1];}
public:
  Doralion(int n){ Modinvs(inv,n); Facts(fact,n); Factinvs(finv,inv,n);}
} doralion(212345);

unordered_map<int,int> pt[112345];
using AR=array<mint,1<<9>;

bool ok(int ox,int oy,int i){
	rep(j,9){
		int x=ox+j%3,y=oy+j/3%3;
		if(pt[y].count(x) && pt[y][x]!=(i>>j&1)) return false;
	}
	return true;
}

int main(){
  ios_base::sync_with_stdio(false);
  cout<<fixed<<setprecision(0);
	array<int,1<<9> ev;
	vector<int> EV;
	rep(i,1<<9){
		ev[i]=0;
		if(__builtin_popcount(i)%2) continue;
		if(((i>>0&1) + (i>>1&1) + (i>>3&1) + (i>>4&1))%2) continue;
		if(((i>>4&1) + (i>>5&1) + (i>>7&1) + (i>>8&1))%2) continue;
		ev[i]=1;
		EV.eb(i);
	}
  int n,m;
	cin>>n>>m;
	rep(i,m){
		int x,y,v;
		cin>>x>>y>>v; --x; --y;
		pt[y][x]=v;
	}
	mint re=0;
	if(n==2){
		rep(i,1<<4)if(__builtin_popcount(i)%2==0){
			int ng=0;
			rep(j,4){
				int x=j%2,y=j/2%2;
				if(pt[y].count(x) && pt[y][x]!=(i>>j&1)) ng=1;
			}
			if(!ng) re+=1;
		}
		cout<<re<<endl;
		return 0;
	}else{
		AR dp; fill(all(dp),0);
		array<mint,1<<4> sum;
		for(const int &i:EV)if(ok(0,0,i)) dp[i]=1;
		rep(o,n-3){
			fill(all(sum),0);
			// rep(i,1<<9)if(ev[i]){
			for(const int &i:EV){
				int st=0;
				if(i>>4&1) st|=1<<0;
				if(i>>5&1) st|=1<<1;
				if(i>>7&1) st|=1<<2;
				if(i>>8&1) st|=1<<3;
				sum[st]+=dp[i];
			}
			fill(all(dp),0);
			// out(ev[(1<<9)-3],ok(1,1,(1<<9)-3),1);
			for(const int &i:EV)if(ok(o+1,o+1,i)){
			// rep(i,1<<9)if(ev[i] && ok(o+1,o+1,i)){
				// out(i,1);
				int st=0;
				if(i>>0&1) st|=1<<0;
				if(i>>1&1) st|=1<<1;
				if(i>>3&1) st|=1<<2;
				if(i>>4&1) st|=1<<3;
				dp[i]+=sum[st];
			}
		}
		re=accumulate(all(dp),mint(0));
	}
	out(re,1);
	int ng=0;
	int fxd=0;
	rep(y,n)for(pii p:pt[y])if(abs(p.X-y)>2){
			if(pt[p.X].count(y)){
				if(pt[p.X][y]!=p.Y) ng=1;
				if(y<p.X) --fxd;
			}
			++fxd;
		}
	if(ng){
		cout<<0<<endl;
		return 0;
	}
	ll cnt=1ll*n*n;
	cnt-=n;
	cnt-=2*(n-1+n-2);
	cnt/=2;
	out(cnt,1);
	cnt-=fxd;
	re*=modpow(2,cnt);
	cout<<re<<endl;
  return 0;
}


Measured memory_bytes: 13696