#include <string.h>
#include <list>
class Prime {
char *_notprime;
int *_seq;
int _total_prime;
int _range;
public:
Prime(int n) {
_range = n;
_notprime = new char[n + 1];
_seq = new int[n + 1];
memset(_notprime, 0, sizeof(*_notprime)*(n+1));
_notprime[0] = _notprime[1] = 1;
_total_prime = 0;
for (int i = 2; i <= n; ++i) {
if (!_notprime[i])
_seq[_total_prime++] = i;
for (int j = 0; j < _total_prime; ++j) {
if (i * _seq[j] > _range) break;
_notprime[i * _seq[j]] = true;
if (i % _seq[j] == 0) break;
}
}
}
~Prime() {
delete[] _notprime;
delete[] _seq;
}
bool IsPrime(int n) const {return !_notprime[n];}
int GetPrime(int k) const {return k < _total_prime ? _seq[k] : 0;}
int* GetPrimes() const {return _seq;}
int GetTotalPrimes() const {return _total_prime;}
int GetRange() const {return _range;}
std::list<std::pair<int, int> > Decompose(int n) {
std::list<std::pair<int,int> > res;
int i = 0;
while (n != 1) {
int p = GetPrime(i);
if (n % p) {
++i;
continue;
}
res.push_back(std::make_pair(p, 0));
while (n % p == 0) {
++res.back().second;
n /= p;
}
}
return res;
}
};
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113
3 1
19 1
953 1