#line 1 "main.cpp" #include #line 2 "/home/ubuntu/Library/utils/macros.hpp" #define REP(i, n) for (int i = 0; (i) < (int)(n); ++ (i)) #define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++ (i)) #define REP_R(i, n) for (int i = (int)(n) - 1; (i) >= 0; -- (i)) #define REP3R(i, m, n) for (int i = (int)(n) - 1; (i) >= (int)(m); -- (i)) #define ALL(x) std::begin(x), std::end(x) #line 7 "/home/ubuntu/Library/number/primes.hpp" struct prepared_primes { int size; std::vector sieve; std::vector primes; /** * @note O(size) */ prepared_primes(int size_) : size(size_) { sieve.resize(size); REP3 (p, 2, size) if (sieve[p] == 0) { primes.push_back(p); for (int k = p; k < size; k += p) { if (sieve[k] == 0) { sieve[k] = p; } } } } /** * @note let k be the length of the result, O(k) if n < size; O(\sqrt{n} + k) if size <= n < size^2 */ std::vector list_prime_factors(int64_t n) const { assert (1 <= n and n < (int64_t)size * size); std::vector result; // trial division for large part for (int p : primes) { if (n < size or n < (int64_t)p * p) { break; } while (n % p == 0) { n /= p; result.push_back(p); } } // small part if (n == 1) { // nop } else if (n < size) { while (n != 1) { result.push_back(sieve[n]); n /= sieve[n]; } } else { result.push_back(n); } assert (std::is_sorted(ALL(result))); return result; } std::vector list_all_factors(int64_t n) const { auto p = list_prime_factors(n); std::vector d; d.push_back(1); for (int l = 0; l < p.size(); ) { int r = l + 1; while (r < p.size() and p[r] == p[l]) ++ r; int n = d.size(); REP (k1, r - l) { REP (k2, n) { d.push_back(d[d.size() - n] * p[l]); } } l = r; } return d; } /** * @note O(1) if n < size; O(sqrt n) if size <= n < size^2 */ bool is_prime(int64_t n) const { assert (1 <= n and n < (int64_t)size * size); if (n < size) { return sieve[n] == n; } for (int p : primes) { if (n < (int64_t)p * p) { break; } if (n % p == 0) { return false; } } return true; } }; #line 4 "main.cpp" using namespace std; bool solve(int n, const std::vector &a) { prepared_primes primes(1e6); vector g; for (int a_i : a) { g.push_back(primes.list_prime_factors(a_i).size()); } int sum_g = 0; for (int g_i : g) { sum_g ^= g_i; } return sum_g; } // generated by oj-template v4.8.0 (https://github.com/online-judge-tools/template-generator) int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int N; std::cin >> N; std::vector A(N); REP (i, N) { std::cin >> A[i]; } auto ans = solve(N, A); std::cout << (ans ? "white" : "black") << '\n'; return 0; }