#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, m; cin >> n >> m; vector b(m), c(m); for(int i = 0; i < m; i++) { cin >> b[i] >> c[i]; c[i] %= b[i]; c[i] += b[i]; c[i] %= b[i]; } ll ans = c[0]; ll l = b[0]; for(int i = 1; i < m; i++){ if(l > n){ if(ans%b[i] == c[i]) continue; cout << "NaN" << endl; return 0; } auto [rem, lc] = atcoder::crt({ans, c[i]}, {l, b[i]}); if(lc == 0){ cout << "NaN" << endl; return 0; } if(ans > n){ cout << "NaN" << endl; return 0; } ans = rem; l = lc; } cout << ans << endl; }