#include <bits/stdc++.h> using namespace std; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>; template<class T> int LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template<class T> int UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template<class T> bool chmin(T &a,T b){if(b<a){a=b;return 1;}else return 0;} template<class T> bool chmax(T &a,T b){if(a<b){a=b;return 1;}else return 0;} template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());} template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template<class T> void vec_out(vector<T> &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";} else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}} template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template<class T> T vec_sum(vector<T> &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template<class T> T square(T a){return a * a;} #include <atcoder/modint> using mint = atcoder::modint998244353; // https://ferin-tech.hatenablog.com/entry/2019/08/11/ラグランジュ補間 #define REP(i, a) for (int i = 0; i < a; i++) mint lagrange_interpolation(vector<mint> x, vector<mint> y, mint T) { const ll n = x.size() - 1; mint ret = 0; REP(i, n+1) { mint t = 1; REP(j, n+1) { if(i == j) continue; t *= T-x[j]; t /= x[i]-x[j]; } ret += t * y[i]; } return ret; } void solve(); // CITRUS CURIO CITY / FREDERIC int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ int N, M; cin >> N >> M; const int L = 15; vector<ll> A(M), B(M), C(M), D(M); rep(i, 0, M) cin >> A[i] >> B[i] >> C[i] >> D[i]; vector<mint> X(4), Y(4); rep(i, 1, 5){ X[i - 1] = i; for (ll x = -(L * i); x <= L * i; x++){ for (ll y = -(L * i); y <= L * i; y++){ for (ll z = -(L * i); z <= L * i; z++){ bool ok = true; rep(j, 0, M){ if (A[j] * x + B[j] * y + C[j] * z + D[j] * i <= 0) ok = false; } if (ok) Y[i - 1] += 1; } } } } mint T = N; // for (auto x : Y) cout << x.val() << " "; cout << lagrange_interpolation(X, Y, T).val() << "\n"; }