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\n#include \n#include \n#include \n#include \n#include \n#include \n\nusing vec_t = std::vector;\n\nvec_t all_primes_up_to(uint64_t last)\n{\n // Consider only the odd numbers\n uint64_t sieve_size{(last + 1) / 2};\n std::vector sieve(sieve_size, true);\n vec_t primes{2};\n primes.reserve(last / 10);\n for (uint64_t i{1}; i < sieve_size; ++i)\n {\n if (sieve[i])\n {\n uint64_t prime {i * 2 + 1};\n primes.push_back(prime);\n // The following risks to wrap around, if 'last' is extremely big\n for (uint64_t j = prime * prime, k = 2 * prime; j < last; j += k)\n {\n sieve[j / 2] = false; \n }\n }\n } \n return primes; \n}\n\nauto make_factorizer(uint64_t max_value)\n{\n uint64_t sqrt_of_max = std::ceil(std::sqrt(max_value));\n \n return [primes = all_primes_up_to(sqrt_of_max)](uint64_t number,\n vec_t& factors)\n {\n uint64_t n{number};\n factors.clear();\n // Test against all the known primes, in ascending order\n for (auto prime : primes)\n {\n // You can stop earlier, if prime >= sqrt(n)\n if (n / prime <= prime)\n break;\n // Keep \"consuming\" the number with the same prime,\n // a factor can have a multiplicity greater than one.\n while (n % prime == 0)\n {\n n /= prime;\n factors.push_back(prime);\n }\n }\n // If n == 1, it has already found and stored all the factors. \n // If it has run out of primes or breaked out from the loop,\n // either what remains is a prime or number was <= 1. \n if (n != 1 || n == number)\n {\n factors.push_back(n);\n }\n };\n}\n\nauto read_data_from(std::istream& input) -> std::pair;\ntemplate \nvoid write_factors(std::ostream& output, It first, It last);\n\nint main()\n{\n auto [numbers, max_value] = read_data_from(std::cin);\n \n auto prime_factors = make_factorizer(max_value);\n\n vec_t factors;\n char const *delim{\"\"};\n for (auto number : numbers)\n { \n prime_factors(number, factors);\n\n std::cout << delim;\n write_factors(std::cout, factors.cbegin(), factors.cend());\n delim = \" \"; \n }\n std::cout << '\\n'; 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