#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } std::vector sieveOfEratosthenes(long long n = 1000000) { std::vectorp(n + 1, true); std::vectorret; p[0] = false; p[1] = false; for (int i = 2; i <= n; ++i) { if (!p[i]) continue; ret.push_back(i); for (int j = 2 * i; j <= n; j += i) p[j] = false; } return p; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); auto ps = sieveOfEratosthenes(10001001); int n; cin >> n; vectora(n), b(n); rep(i, n)cin >> a[i] >> b[i]; two_sat ts(n); // 0:st // 1:ts rep(i, n) rep2(j, i, n) { // 00 { string s0 = to_string(a[i]) + to_string(b[j]); auto x0 = stoi(s0); string s1 = to_string(a[j]) + to_string(b[i]); auto x1 = stoi(s1); if (ps[x0] || ps[x1])ts.add_clause(i, true, j, true); } // 01 { string s0 = to_string(a[i]) + to_string(a[j]); auto x0 = stoi(s0); string s1 = to_string(b[j]) + to_string(b[i]); auto x1 = stoi(s1); if (ps[x0] || ps[x1])ts.add_clause(i, true, j, false); } // 10 { string s0 = to_string(b[i]) + to_string(b[j]); auto x0 = stoi(s0); string s1 = to_string(a[j]) + to_string(a[i]); auto x1 = stoi(s1); if (ps[x0] || ps[x1])ts.add_clause(i, false, j, true); } // 11 { string s0 = to_string(b[i]) + to_string(a[j]); auto x0 = stoi(s0); string s1 = to_string(b[j]) + to_string(a[i]); auto x1 = stoi(s1); if (ps[x0] || ps[x1])ts.add_clause(i, false, j, false); } } cout << (ts.satisfiable() ? "Yes" : "No") << endl; return 0; }