#include<cmath>
...
int size = trunc(log10(num)) + 1
....
ex: input = 2424, output = 4
static int intlen(int n)
{
if (n == 0) return 1;
else if (n < 0) return 2 + static_cast<std::size_t>(std::log10(-n));
else if (n > 0) return 1 + static_cast<std::size_t>(std::log10(n));
}
std::to_string(num).length()
unsigned int number_of_digits = 0;
do {
++number_of_digits;
n /= base;
} while (n);