Simplified task3
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30
README.md
30
README.md
@@ -85,34 +85,34 @@ std::map<int, int> factorize(int number) {
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#include "sieveoferatosthenes.cpp"
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// Функция для факторизации числа методом Ферма
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std::map<int, int> fermatFactorize(int number) {
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std::map<int, int> fermatFactorize(int n) {
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std::map<int, int> factors;
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// Проверка на простоту
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std::vector<int> primes = sieveOfEratosthenes(static_cast<int>(sqrt(number)) + 1);
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std::vector<int> primes = sieveOfEratosthenes(n);
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for (int prime : primes) {
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if (prime * prime > number) break;
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while (number % prime == 0) {
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if (prime == 1) continue;
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if (prime * prime > n) break;
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while (n % prime == 0) {
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factors[prime]++;
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number /= prime;
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n /= prime;
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}
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}
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// Если число больше 1, применяем метод Ферма
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if (number > 1) {
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int a = static_cast<int>(ceil(sqrt(number)));
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int b2 = a * a - number;
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int b = static_cast<int>(sqrt(b2));
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if (n > 1) {
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int m = (int)(ceil(sqrt(n)));
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int b2 = m * m - n;
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int b = (int)(sqrt(b2));
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while (b * b != b2) {
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a++;
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b2 = a * a - number;
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b = static_cast<int>(sqrt(b2));
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m++;
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b2 = m * m - n;
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b = (int)(sqrt(b2));
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}
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int factor1 = a - b;
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int factor2 = a + b;
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int factor1 = m - b;
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int factor2 = m + b;
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// Добавляем найденные множители
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factors[factor1]++;
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