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Copy pathProblem 35.cpp
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130 lines (111 loc) · 2.92 KB
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#include <iostream>
#include <list>
//#include <algorithm>
bool is_prime(uint32_t _num)
{
// if (_num < 2)
// return false;
for (uint32_t i = 2; i < _num / 2 + 1; ++i)
{
if (_num % i == 0)
return false;
}
return true;
}
bool is_13579(uint32_t _num)
{
do
{
uint8_t digit = 0;
if (_num / 10 > 0)
{
digit = _num % ((_num / 10) * 10);
}
else
{
digit = _num;
//_num = 0;
}
_num /= 10;
switch (digit)
{
case 1:
break;
case 3:
break;
case 5:
break;
case 7:
break;
case 9:
break;
default:
return false;
break;
}
} while (_num > 0);
return true;
}
int main()
{
uint16_t circular_primes = 0; // counter
for (uint32_t i = 1; i < 1'000'000; i++)
{
if (!is_13579(i))
continue;
if (is_prime(i))
{
std::list<uint8_t> num_digits;
bool circular_prime = true;
uint32_t tmp = i;
do
{
uint8_t digit = 0;
if (tmp / 10 > 0)
{
digit = tmp % ((tmp / 10) * 10);
num_digits.emplace_back(digit);
}
else
{
num_digits.emplace_back(tmp);
}
tmp /= 10;
} while (tmp > 0);
num_digits.reverse();
auto r = num_digits.begin();
while (r != num_digits.end())
++r;
auto iterator = num_digits.begin();
++iterator; // 1 number doesnt need to check - the actual number is a prime...
for (uint16_t a = 0; a < num_digits.size() - 1; ++a)
{
uint32_t num_to_check = 0;
for (uint16_t b = 0; b < num_digits.size(); ++b)
{
num_to_check *= 10;
num_to_check += *iterator;
++iterator;
if (iterator == num_digits.end())
iterator = num_digits.begin();
}
// shift the iterator - so we get a different number next time - normally we end at the same position we started
++iterator;
if (iterator == num_digits.end())
iterator = num_digits.begin();
if (!is_prime(num_to_check))
{
circular_prime = false;
break;
}
}
if (circular_prime)
{
++circular_primes;
std::cout << i << ' ';
}
}
}
std::cout << "\nnum of circular primes below 1'000'000: " << circular_primes << '\n';
return 0;
}