#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; bool is_prime[1000000]; bool ok[1000][1000]; } int main() { ios::sync_with_stdio(false); cin.tie(0); for(int p = 2; p < 1000000; p++) is_prime[p] = true; for(int p = 2; p < 1000000; p++) if (is_prime[p]) { for(int q = 2 * p; q < 1000000; q += p) is_prime[q] = false; } for(int x = 1; x < 1000; x++) { for(int y = 1; y < 1000; y++) { ok[x][y] = !is_prime[stoi(to_string(x) + to_string(y))]; } } int n; cin >> n; VI a(n), b(n); rep(i, n) cin >> a[i] >> b[i]; two_sat ts(n); rep(i, n) rep(bi, 2) { if (!ok[a[i]][b[i]]) { ts.add_clause(i, !bi, i, !bi); } swap(a[i], b[i]); } rep(i, n) rep(j, i) { rep(bi, 2) { rep(bj, 2) { if (!ok[a[i]][b[j]] || !ok[a[j]][b[i]]) { ts.add_clause(i, !bi, j, !bj); } swap(a[j], b[j]); } swap(a[i], b[i]); } } cout << (ts.satisfiable() ? "Yes\n" : "No\n"); }