#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; template vector divisors(const T &n) { vector ret; for (T i = 1; i * i <= n; i++) { if (n % i == 0) { ret.push_back(i); if (i * i != n) ret.push_back(n / i); } } sort(begin(ret), end(ret)); return ret; } template vector> prime_factor(T n) { vector> ret; for (T i = 2; i * i <= n; i++) { int cnt = 0; while (n % i == 0) cnt++, n /= i; if (cnt > 0) ret.emplace_back(i, cnt); } if (n > 1) ret.emplace_back(n, 1); return ret; } template bool is_prime(const T &n) { if (n == 1) return false; for (T i = 2; i * i <= n; i++) { if (n % i == 0) return false; } return true; } // 1,2,...,n のうち k と互いに素である自然数の個数 template T coprime(T n, T k) { vector> ps = prime_factor(k); int m = ps.size(); T ret = 0; for (int i = 0; i < (1 << m); i++) { T prd = 1; for (int j = 0; j < m; j++) { if ((i >> j) & 1) prd *= ps[j].first; } ret += (__builtin_parity(i) ? -1 : 1) * (n / prd); } return ret; } vector Eratosthenes(const int &n) { vector ret(n + 1, true); if (n >= 0) ret[0] = false; if (n >= 1) ret[1] = false; for (int i = 2; i * i <= n; i++) { if (!ret[i]) continue; for (int j = i + i; j <= n; j += i) ret[j] = false; } return ret; } vector Eratosthenes2(const int &n) { vector ret(n + 1); iota(begin(ret), end(ret), 0); if (n >= 0) ret[0] = -1; if (n >= 1) ret[1] = -1; for (int i = 2; i * i <= n; i++) { if (ret[i] < i) continue; for (int j = i + i; j <= n; j += i) ret[j] = min(ret[j], i); } return ret; } template struct Graph { struct edge { int to, id; edge(int to, int id) : to(to), id(id) {} }; vector> es; const int n; int m; Graph(int n) : es(n), n(n), m(0) {} void add_edge(int from, int to) { es[from].emplace_back(to, m); if (!directed) es[to].emplace_back(from, m); m++; } }; template struct Strongly_Connected_Components { struct edge { int to, id; edge(int to, int id) : to(to), id(id) {} }; vector> es, rs; vector vs; vector comp; const int n; int m; Strongly_Connected_Components(int n) : es(n), rs(n), comp(n), n(n), m(0) {} void add_edge(int from, int to) { es[from].emplace_back(to, m), rs[to].emplace_back(from, m); if (!directed) es[to].emplace_back(from, m), rs[from].emplace_back(to, m); m++; } void _dfs(int now) { if (comp[now] != -1) return; comp[now] = 1; for (auto &e : es[now]) _dfs(e.to); vs.push_back(now); } void _rdfs(int now, int col) { if (comp[now] != -1) return; comp[now] = col; for (auto &e : rs[now]) _rdfs(e.to, col); } Graph decompose() { fill(begin(comp), end(comp), -1); for (int i = 0; i < n; i++) { if (comp[i] == -1) _dfs(i); } fill(begin(comp), end(comp), -1); reverse(begin(vs), end(vs)); int cnt = 0; for (auto &e : vs) { if (comp[e] == -1) _rdfs(e, cnt++); } Graph G(cnt); for (int i = 0; i < n; i++) { for (auto &e : es[i]) { int u = comp[i], v = comp[e.to]; if (u != v) G.add_edge(u, v); } } return G; } int operator[](int k) const { return comp[k]; } }; int main() { int N; cin >> N; vector pr = Eratosthenes(1000000); vector> a(N, vector(2)); rep(i, N) rep(j, 2) cin >> a[i][j]; Strongly_Connected_Components G(2 * N); rep(i, N) { rep(j, N) { rep(s, 2) { rep(t, 2) { int x = stoi(a[i][s] + a[j][t]); if (pr[x]) { G.add_edge(2 * i + s, 2 * j + (t ^ 1)); G.add_edge(2 * j + t, 2 * i + (s ^ 1)); } } } } } G.decompose(); rep(i, N) { if (G[2 * i] == G[2 * i + 1]) { cout << "No\n"; return 0; } } cout << "Yes\n"; }