#include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e){ cerr << e << endl; } template void debug(vector &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(map &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } int main(){ ll N; cin >> N; ll M; cin >> M; vector B(M); vector C(M); rep(i,M){ cin >> B[i] >> C[i]; } rep(i,M){ C[i] = (C[i] + B[i] * 1000000) % B[i]; } vector p(M); rep(i,M){ p[i].first = B[i]; p[i].second = C[i]; } sort(all(p)); vector counter(N + 2, 0); ll cnt = 0; for (ll i = p[0].second; i < N + 2; i += p[0].first){ counter[i]++; } cnt++; bool pos = true; for (ll i = 1; i < M; i++){ if (p[i].first == p[i - 1].first){ if (p[i].second != p[i - 1].second){ pos = false; break; } } else{ cnt++; for (ll j = p[i].second; j < N + 2; j += p[i].first){ counter[j]++; } } } if (!pos){ cout << "NaN" << endl; } else{ for (ll i = 0; i <= N; i++){ if (counter[i] == cnt){ cout << i << endl; return 0; } } cout << "NaN" << endl; } }