#include <iostream>
#include <string>
#include <cstring>
#include <algorithm>
#include <list>
#include <set>
#include <map>
#include <vector>
#include <math.h>
#include <fstream>
#include <sstream>
#include <unordered_map>
#include <ctime>
#include <assert.h>
using namespace std;

const unsigned long long MOD = (unsigned long long)(1e9 + 7);

#define FROM_0(i, n) for(int i = 0; i < (n); i++)
#define FROM_S(i, s, e) for(int i = (s); i < (e); i++)
#define ITER_BEGIN_END(iter, vec) for(auto iter = vec.begin(); iter != vec.end(); iter++)

unsigned long long t[100000] = {2, 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, 4, 4, 2, 12, 2, 4, 6, 7, 4, 8, 2, 6, 4, 8, 2, 12, 2, 4, 6, 6, 4, 8, 2, 10, 5, 4, 2, 12, 4, 4, 4, 8, 2, 12, 4, 6, 4, 4, 4, 12, 2, 6, 6, 9, 2, 8, 2, 8, 8, 4, 2, 12, 2, 8, 4, 10, 2, 8, 4, 6, 6, 4, 4, 16, 3, 4, 4, 6, 4, 12, 2, 8, 4, 8, 2, 12, 4, 4, 8, 8, 2, 8, 2, 12, 4, 4, 4, 15, 4, 4, 6, 6, 2, 12, 2, 8, 6, 8, 4, 12, 2, 4, 4, 12, 4, 10, 2, 6, 8, 4, 2, 16, 3, 8, 6, 6, 2, 8, 6, 10, 4, 4, 2, 18, 2, 8, 4, 8, 4, 8, 4, 6, 8, 8, 2, 14, 2, 4, 8, 9, 2, 12, 2, 12, 4, 4, 4, 12, 4, 4, 6, 10, 4, 16, 2, 6, 4, 4, 4, 16, 4, 4, 4, 12, 4, 8, 2, 12, 9, 4, 2, 12, 2, 8, 8, 8, 2, 12, 4, 6, 4, 8, 2, 20, 2, 6, 6, 6, 6, 8, 4, 8, 4, 8, 2, 18, 4, 4, 8, 9, 2, 8, 4, 12, 6, 4, 2, 16, 4, 8, 4, 6, 2, 16, 2, 10, 8, 4, 6, 12, 2, 4, 6, 16, 2, 8, 2, 6, 8, 8, 4, 18, 3, 8, 4, 6, 2, 12, 4, 8, 8, 4, 4, 18, 4, 4, 4, 10, 4, 12, 2, 12, 4, 8, 2, 16, 2, 4, 12, 6, 2, 8, 4, 14, 4, 8, 4, 15, 6, 4, 4, 8, 4, 16, 2, 6, 6, 4, 4, 20, 2, 6, 4, 12, 4, 12, 4, 8, 8, 4, 2, 12, 2, 12, 8, 12, 2, 8, 4, 6, 8, 4, 2, 24, 3, 4, 6, 12, 4, 8, 2, 10, 6, 8, 4, 12, 2, 8, 8, 8, 4, 16, 2, 12, 4, 4, 2, 16, 8, 4, 6, 6, 2, 16, 4, 12, 4, 4, 4, 18, 2, 4, 8, 15, 2, 8, 4, 6, 10, 8, 4, 16, 2, 8, 4, 6, 4, 12, 4, 12, 4, 8, 2, 24, 2, 4, 6, 8, 6, 8, 4, 6, 8, 8, 2, 20, 2, 8, 8, 6, 4, 8, 2, 16, 9, 8, 2, 12, 4, 4, 4, 14, 2, 18, 4, 6, 4, 4, 8, 16, 2, 4, 8, 12, 2, 16, 2, 10, 8, 4, 2, 18, 4, 8, 4, 8, 4, 8, 6, 12, 6, 4, 2, 24, 4, 4, 8, 9, 4, 12, 2, 8, 4, 12, 2, 12, 4, 8, 12, 10, 4, 8, 2, 12, 4, 4, 2, 24, 4, 8, 6, 6, 2, 16, 4, 10, 8, 4, 4, 12, 4, 8, 4, 16, 2, 12, 2, 6, 12, 4, 4, 20, 3, 8, 6, 12, 4, 8, 4, 8, 4, 4, 6, 24, 2, 4, 4, 12, 4, 16, 2, 6, 6, 12, 4, 16, 4, 4, 8, 6, 2, 12, 4, 20, 8, 4, 2, 12, 4, 4, 10, 8, 2, 16, 2, 12, 4, 8, 6, 21, 2, 6, 4, 12, 4, 8, 4, 8, 12, 4, 2, 18, 4, 8, 4, 10, 2, 16, 8, 6, 4, 8, 2, 24, 2, 8, 6, 6, 6, 8, 2, 12, 8, 8, 4, 18, 2, 4, 8, 16, 2, 8, 2, 12, 8, 4, 4, 20, 5, 4, 8, 6, 4, 24, 2, 8, 4, 4, 4, 12, 6, 8, 6, 16, 2, 8, 2, 12, 8, 8, 2, 20, 4, 12, 8, 6, 2, 8, 4, 10, 6, 8, 2, 24, 2, 4, 8, 8, 8, 12, 4, 6, 4, 8, 4, 24, 2, 4, 12, 9, 2, 8, 4, 16, 4, 8, 2, 18, 4, 8, 4, 10, 4, 16, 2, 6, 12, 4, 4, 16, 4, 4, 4, 18, 2, 16, 4, 14, 8, 4, 4, 12, 2, 8, 6, 8, 4, 16, 8, 6, 4, 4, 2, 30, 4, 6, 4, 6, 6, 12, 2, 16, 7, 8, 4, 12, 2, 4, 12, 12, 4, 12, 2, 12, 8, 8, 2, 16, 4, 4, 6, 12, 4, 16, 2, 10, 4, 8, 4, 24, 2, 4, 8, 16, 2, 8, 4, 6, 12, 4, 4, 18, 2, 16, 4, 6, 2, 12, 6, 8, 8, 4, 4, 24, 4, 8, 8, 15, 4, 8, 2, 6, 4, 8, 4, 24, 4, 4, 8, 6, 2, 16, 4, 18, 6, 4, 4, 12, 8, 8, 4, 8, 2, 20, 2, 12, 4, 8, 4, 20, 4, 4, 12, 12, 2, 8, 2, 8, 12, 8, 2, 18, 2, 8, 4, 14, 6, 8, 4, 12, 8, 4, 2, 32, 3, 4, 4, 6, 6, 12, 6, 10, 4, 12, 4, 12, 2, 8, 12, 8, 2, 16, 2, 12, 8, 4, 2, 24, 4, 4, 6, 12, 4, 16, 4, 8, 6, 8, 8, 12, 2, 4, 4, 20, 2, 18, 2, 12, 8, 4, 2, 16, 4, 8, 10, 6, 4, 8, 4, 16, 8, 4, 4, 27, 4, 8, 8, 8, 4, 8, 2, 6, 6, 16, 2, 20, 4, 4, 8, 6, 4, 16, 2, 16, 4, 4, 4, 24, 6, 4, 6, 12, 2, 16, 6, 6, 4, 4, 8, 24, 2, 8, 4, 12, 2, 8, 4, 10, 16, 8, 2, 12, 4, 12, 4, 16, 2, 12, 4, 6, 8, 4, 4, 28, 3, 8, 6, 6, 4, 16, 2, 12, 8, 8, 2, 18, 4, 4, 12, 10, 2, 8, 4, 18, 6, 4, 2, 16, 4, 8, 8, 12, 4, 24, 2, 12, 4, 8, 4, 12, 2, 4, 8, 16, 8, 8, 4, 6, 8, 4, 4, 30, 2, 8, 4, 12, 2, 12, 8, 8, 6, 4, 2, 24, 2, 8, 8, 11, 6, 16, 4, 6, 8, 8, 2, 16, 2, 8, 12, 12, 4, 8, 2, 20, 4, 4, 4, 18, 8, 4, 4, 8, 2, 24, 2, 6, 10, 8, 4, 24, 4, 6, 4, 12, 2, 12, 2, 16, 8, 8, 4, 12, 2, 8, 12, 10, 4, 8, 6, 6, 4, 12, 4, 32, 4, 4, 6, 6, 8, 8, 2, 14, 9, 8, 2, 24, 2, 4, 8, 8, 2, 12, 4, 18, 4, 8, 2, 20, 8, 8, 8, 6, 2, 16, 4, 8, 8, 4, 4, 18, 2, 8, 4, 24, 4, 16, 2, 6, 12, 4, 6, 16, 2, 8, 8, 6, 4, 20, 4, 10, 4, 4, 4, 24, 4, 4, 6, 16, 4, 8, 4, 12, 4, 12, 2, 24, 2, 4, 16, 9, 4, 8, 4, 16, 8, 8, 2, 12, 4, 8, 4, 10, 4, 24, 2, 6, 8, 4, 6, 24, 4, 8, 6, 12, 2, 8, 6, 12, 8, 4, 2, 24, 4, 16, 4, 8, 2, 8, 4, 12, 12, 4, 4, 30, 2, 4, 4, 12, 4, 12, 4, 8, 8, 12, 4, 12, 2, 4, 12, 14, 2, 16, 4, 12, 8, 8, 2, 24, 9, 4, 4, 6, 2, 16, 2, 20, 6, 4, 8, 12, 2, 4, 8, 16, 4, 16, 4, 6, 8, 8, 4, 24, 2, 10, 6, 6, 4, 16, 4, 8, 4, 8, 2, 36, 4, 4, 4, 10, 8, 8, 4, 6, 8, 8, 4, 16, 4, 12, 12, 12, 2, 12, 2, 18, 8, 4, 2, 12, 4, 4, 12, 16, 2, 16, 2, 12, 4, 4, 8, 25, 2, 8, 4, 18, 2, 16, 2, 8, 12, 4, 2, 12, 8, 8, 8, 12, 4, 12, 4, 12, 4, 4, 2, 32, 2, 4, 12, 6, 6, 16, 2, 10, 4, 16, 4, 18, 4, 8, 8, 8, 4, 8, 4, 12, 6, 8, 4, 28, 4, 4, 4, 6, 4, 24, 4, 12, 8, 4, 4, 12, 4, 8, 6, 20, 2, 8, 4, 12, 16, 4, 2, 24, 3, 8, 4, 12, 2, 8, 8, 12, 10, 8, 4, 24, 2, 4, 4, 8, 4, 24, 4, 6, 4, 8, 4, 20, 4, 8, 12, 6, 4, 8, 2, 24, 4, 4, 4, 24, 4, 8, 8, 16, 2, 16, 4, 6, 6, 8, 4, 16, 4, 4, 8, 12, 6, 12, 2, 10, 12, 8, 2, 24, 2, 16, 8, 8, 2, 8, 8, 6, 4, 4, 2, 36, 4, 8, 8, 9, 6, 8, 2, 8, 12, 12, 2, 18, 2, 4, 8, 20, 4, 14, 2, 12, 4, 8, 8, 16, 4, 4, 6, 6, 4, 24, 2, 14, 4, 8, 6, 18, 4, 4, 8, 16, 2, 16, 2, 12, 16, 4, 2, 20, 2, 8, 8, 6, 2, 12, 8, 16, 4, 8, 2, 24, 4, 4, 6, 12, 8, 8, 4, 12, 4, 8, 2, 32, 4, 4, 8, 6, 4, 16, 6, 20, 9, 4, 2, 12, 6, 8, 4, 8, 4, 24, 2, 6, 8, 8, 4, 20, 4, 4, 10, 24, 4, 8, 2, 8, 8, 4, 8, 18, 2, 12, 8, 10, 2, 16, 4, 6, 6, 8, 2, 32, 4, 8, 4, 12, 4, 16, 2, 18, 4, 8, 2, 12, 6, 4, 18, 8, 4, 8, 2, 12, 8, 8, 2, 30, 4, 8, 6, 6, 4, 16, 4, 8, 8, 4, 8, 24, 2, 8, 8, 21, 2, 12, 4, 6, 8, 8, 2, 16, 2, 16, 6, 12, 2, 8, 8, 10, 12, 4, 2, 30, 2, 4, 4, 16, 8, 8, 2, 12, 6, 8, 4, 24, 4, 8, 8, 6, 2, 24, 4, 16, 4, 4, 4, 12, 8, 4, 8, 10, 4, 24, 4, 12, 8, 4, 4, 24, 2, 4, 8, 12, 4, 8, 2, 16, 12, 12, 2, 12, 2, 8, 4, 16, 4, 16, 6, 6, 8, 4, 4, 40, 3, 6, 12, 6, 4, 8, 4, 8, 4, 12, 4, 18, 2, 12, 8, 12, 2, 8, 2, 18, 12, 8, 4, 16, 8, 4, 4, 12, 2, 24, 4, 10, 4, 4, 8, 24, 4, 4, 6, 16, 2, 16, 2, 6, 12, 4, 4, 28, 8, 8, 4, 6, 2, 12, 4, 16, 6, 8, 4, 24, 2, 8, 8, 10, 4, 12, 2, 12, 8, 16, 4, 16, 2, 4, 16, 6, 4, 8, 2, 24, 4, 4, 4, 27, 4, 4, 8, 16, 4, 16, 8, 6, 6, 4, 6, 20, 2, 8, 4, 12, 4, 20, 2, 8, 16, 8, 2, 12, 2, 8, 6, 18, 4, 16, 4, 6, 4, 8, 4, 36, 2, 8, 4, 12, 6, 16, 4, 10, 8, 8, 2, 12, 6, 4, 12, 8, 4, 12, 4, 24, 4, 4, 2, 24, 6, 8, 12, 6, 4, 16, 2, 8, 8, 8, 4, 24, 4, 4, 4, 20, 4, 8, 4, 6, 12, 8, 2, 32, 3, 12, 4, 6, 4, 12, 8, 14, 4, 4, 6, 24, 2, 12, 10, 8, 4, 8, 2, 6, 8, 16, 2, 30, 2, 4, 10, 12, 2, 8, 2, 16, 12, 4, 4, 12, 8, 8, 8, 12, 2, 32, 4, 12, 4, 4, 4, 16, 4, 8, 6, 18, 2, 8, 4, 20, 8, 4, 2, 18, 4, 8, 12, 8, 2, 16, 4, 6, 8, 8, 4, 32, 4, 6, 4, 12, 12, 12, 4, 8, 4, 8, 2, 24, 2, 4, 12, 15, 4, 16, 4, 12, 4, 4, 4, 24, 4, 8, 8, 6, 2, 24, 2, 12, 12, 4, 8, 12, 4, 8, 4, 24, 4, 12, 4, 6, 8, 4, 4, 20, 4, 8, 8, 12, 2, 16, 6, 16, 4, 8, 2, 36, 4, 4, 4, 14, 4, 8, 2, 12, 12, 8, 4, 16, 2, 4, 16, 6, 2, 16, 2, 20, 8, 16, 2, 12, 4, 8, 6, 8, 6, 16, 2, 6, 8, 8, 8, 36, 2, 4, 4, 12, 4, 8, 6, 16, 15, 4, 2, 18, 2, 16, 4, 10, 4, 12, 8, 6, 8, 4, 2, 32, 4, 4, 6, 12, 4, 16, 4, 12, 4, 12, 4, 24, 2, 8, 8, 8, 6, 16, 4, 12, 6, 4, 2, 20, 8, 4, 8, 12, 2, 24, 4, 16, 4, 8, 6, 12, 4, 4, 16, 24, 2, 8, 2, 6, 8, 8, 2, 24, 2, 16, 8, 6, 8, 8, 4, 10, 6, 4, 2, 36, 4, 4, 4, 8, 4, 20, 6, 12, 8, 8, 2, 28, 2, 8, 12, 9, 4, 8, 4, 16, 8, 4, 4, 18, 8, 4, 4, 20, 2, 16, 2, 12, 8, 8, 8, 16, 2, 4, 8, 12, 2, 24, 2, 12, 16, 8, 4, 12, 4, 12, 6, 8, 2, 8, 4, 18, 4, 8, 4, 40, 2, 8, 8, 6, 4, 12, 4, 8, 6, 16, 4, 12, 4, 4, 12, 16, 4, 18, 2, 12, 4, 4, 4, 32, 8, 4, 8, 6, 4, 16, 4, 10, 8, 4, 4, 18, 4, 8, 4, 24, 4, 8, 2, 12, 18, 4, 2, 24, 3, 16, 8, 12, 2, 16, 4, 8, 4, 4, 4, 24, 2, 8, 12, 10, 6, 16, 4, 6, 4, 8, 4, 24, 8, 4, 8, 12, 2, 8, 2, 28, 8, 8, 2, 24, 4, 4, 8, 8, 4, 24, 2, 6, 4, 12, 8, 20, 4, 4, 6, 12, 8, 16, 4, 8, 8, 8, 2, 30, 2, 8, 4, 12, 2, 8, 12, 6, 12, 8, 4, 32, 2, 8, 4, 6, 4, 12, 2, 20, 8, 8, 4, 12, 2, 8, 16, 16, 2, 8, 6, 18, 8, 4, 6, 27, 4, 4, 4, 6, 2, 32, 2, 12, 6, 8, 4, 12, 4, 8, 4, 20, 4, 16, 4, 12, 12, 4, 4, 16, 4, 8, 12, 12, 2, 8, 4, 12, 8, 8, 2, 36, 2, 4, 8, 8, 8, 16, 2, 6, 10, 12, 2, 30, 4, 8, 8, 12, 2, 12, 4, 16, 4, 4, 4, 12, 8, 12, 6, 14, 4, 16, 2, 6, 8, 4, 8, 32, 2, 8, 8, 24, 2, 8, 2, 10, 12, 4, 8, 12, 2, 8, 4, 16, 2, 24, 4, 6, 8, 8, 2, 36, 5, 4, 8, 6, 8, 8, 4, 16, 8, 8, 2, 18, 4, 8, 16, 10, 2, 16, 4, 18, 6, 8, 2, 16, 6, 4, 4, 6, 4, 24, 8, 16, 4, 4, 4, 24, 2, 8, 6, 16, 2, 16, 4, 12, 8, 4, 2, 30, 4, 18, 8, 6, 4, 8, 4, 8, 16, 4, 2, 24, 4, 4, 4, 24, 8, 12, 2, 6, 4, 16, 4, 16, 2, 4, 18, 6, 2, 16, 4, 20, 4, 8, 4, 24, 8, 8, 4, 8, 4, 16, 4, 12, 6, 8, 4, 28, 4, 4, 12, 15, 4, 12, 2, 8, 8, 8, 4, 24, 4, 8, 10, 10, 4, 8, 4, 12, 4, 4, 4, 48, 2, 8, 6, 6, 6, 8, 6, 12, 6, 16, 2, 12, 4, 8, 12, 8, 4, 16, 2, 12, 12, 8, 2, 20, 4, 8, 6, 18, 2, 24, 2, 16, 8, 4, 8, 18, 2, 4, 4, 20, 4, 16, 4, 6, 16, 4, 4, 16, 4, 8, 4, 6, 4, 24, 6, 20, 4, 4, 2, 24, 4, 4, 12, 16, 8, 8, 4, 6, 4, 16, 2, 30, 2, 4, 8, 12, 6, 8, 4, 24, 9, 4, 4, 24, 4, 4, 8, 10, 2, 24, 4, 6, 8, 4, 4, 16, 2, 16, 8, 12, 2, 16, 4, 14, 16, 8, 4, 18, 4, 8, 4, 16, 2, 8, 8, 6, 6, 4, 8, 40, 4, 4, 4, 6, 6, 24, 2, 8, 4, 12, 4, 24, 4, 4, 12, 12, 2, 8, 2, 24, 4, 8, 2, 24, 8, 8, 8, 12, 4, 16, 2, 10, 12, 8, 6, 12, 2, 8, 8, 16, 4, 12, 2, 12, 8, 8, 2, 32, 2, 8, 12, 6, 2, 8, 12, 8, 8, 8, 2, 36, 4, 8, 8, 15, 4, 16, 2, 6, 12, 8, 2, 16, 2, 8, 8, 12, 8, 12, 2, 24, 4, 4, 4, 12, 6, 8, 8, 16, 2, 32, 2, 6, 4, 4, 4, 30, 8, 6, 8, 12, 2, 8, 4, 16, 12, 4, 4, 12, 2, 16, 8, 14, 2, 20, 8, 12, 4, 8, 4, 32, 4, 4, 6, 6, 8, 8, 2, 10, 8, 8, 4, 36, 4, 8, 12, 8, 2, 8, 4, 12, 8, 8, 6, 24, 4, 8, 4, 12, 2, 24, 2, 8, 12, 8, 8, 12, 2, 4, 6, 30, 2, 8, 2, 6, 16, 8, 4, 32, 3, 8, 4, 12, 4, 16, 4, 18, 6, 4, 2, 24, 8, 8, 4, 8, 6, 12, 4, 12, 8, 8, 4, 20, 2, 8, 20, 6, 2, 16, 4, 16, 4, 12, 2, 18, 4, 4, 8, 12, 8, 24, 2, 12, 6, 4, 4, 32, 2, 4, 4, 24, 2, 16, 4, 10, 8, 4, 4, 12, 4, 16, 12, 8, 6, 8, 8, 6, 8, 4, 2, 42, 4, 8, 6, 12, 4, 16, 2, 12, 8, 12, 6, 12, 4, 4, 8, 10, 2, 24, 4, 18, 4, 4, 2, 24, 8, 4, 12, 6, 2, 16, 4, 24, 4, 8, 8, 21, 2, 4, 8, 16, 4, 8, 4, 12, 18, 16, 2, 20, 4, 8, 4, 6, 4, 12, 4, 8, 8, 8, 2, 36, 4, 4, 8, 16, 8, 8, 4, 12, 4, 12, 4, 24, 2, 8, 8, 6, 2, 16, 4, 20, 12, 4, 2, 24, 4, 4, 8, 16, 2, 32, 2, 6, 4, 4, 12, 24, 4, 4, 6, 12, 4, 16, 4, 8, 8, 4, 4, 18, 6, 16, 4, 20, 4, 8, 4, 12, 10, 4, 2, 32, 2, 8, 16, 6, 4, 12, 4, 14, 8, 16, 2, 12, 4, 8, 12, 16, 4, 8, 2, 12, 8, 4, 2, 40, 9, 8, 4, 6, 4, 16, 4, 8, 6, 8, 4, 24, 2, 12, 4, 24, 2, 18, 4, 6, 16, 4, 4, 16, 2, 12, 8, 12, 4, 8, 8, 10, 4, 8, 8, 36, 2, 4, 4, 8, 4, 16, 2, 12, 12, 8, 4, 22, 4, 8, 12, 6, 4, 20, 2, 32, 8, 8, 2, 12, 4, 4, 12, 10, 2, 16, 4, 6, 4, 16, 4, 24, 4, 4, 4, 18, 4, 16, 4, 12, 16, 4, 4, 24, 2, 8, 8, 8, 4, 12, 8, 12, 4, 4, 2, 40, 2, 8, 6, 12, 6, 8, 4, 16, 8, 8, 4, 24, 4, 4, 16, 21, 2, 8, 4, 12, 6, 4, 4, 16, 8, 12, 4, 6, 4, 36, 4, 10, 4, 8, 4, 12, 8, 4, 12, 16, 4, 16, 2, 12, 8, 4, 2, 36, 2, 8, 8, 12, 4, 12, 6, 8, 6, 8, 6, 24, 2, 8, 4, 10, 12, 16, 2, 6, 4, 16, 2, 32, 4, 4, 12, 12, 4, 16, 4, 24, 8, 4, 2, 18, 4, 8, 4, 8, 2, 16, 6, 12, 16, 4, 4, 20, 2, 4, 8, 24, 2, 12, 4, 16, 12, 4, 4, 12, 2, 16, 6, 12, 4, 24, 4, 6, 8, 4, 4, 40, 4, 4, 8, 6, 8, 8, 4, 20, 9, 16, 2, 12, 2, 4, 16, 16, 2, 12, 2, 12, 4, 8, 4, 28, 4, 8, 12, 12, 4, 16, 2, 8, 4, 4, 6, 36, 4, 8, 4, 20, 4, 8, 6, 6, 12, 8, 4, 16, 8, 16, 4, 6, 4, 16, 4, 12, 8, 8, 2, 36, 2, 8, 6, 16, 4, 16, 2, 6, 4, 8, 8, 30, 2, 4, 16, 6, 4, 16, 2, 16, 10, 8, 2, 12, 12, 4, 4, 18, 2, 24, 2, 18, 8, 4, 8, 16, 4, 4, 12, 12, 4, 8, 2, 20, 8, 8, 2, 24, 4, 12, 4, 8, 4, 16, 8, 6, 6, 8, 2, 48, 2, 6, 8, 9, 4, 24, 8, 8, 4, 8, 2, 12, 2, 8, 16, 10, 4, 8, 4, 18, 12, 8, 4, 24, 4, 4, 4, 18, 2, 16, 2, 14, 12, 4, 8, 12, 4, 4, 8, 24, 4, 24, 4, 12, 8, 8, 2, 20, 4, 16, 6, 6, 2, 8, 4, 16, 8, 4, 4, 36, 4, 8, 8, 12, 6, 8, 4, 6, 8, 16, 4, 32, 2, 8, 8, 6, 4, 12, 4, 20, 8, 4, 4, 24, 8, 4, 6, 8, 2, 24, 8, 6, 4, 8, 4, 32, 2, 16, 4, 12, 2, 8, 2, 8, 24, 4, 2, 18, 2, 8, 8, 20, 4, 12, 6, 12, 8, 8, 6, 32, 3, 4, 10, 12, 8, 16, 4, 12, 4, 8, 2, 18, 4, 4, 8, 16, 4, 16, 2, 24, 6, 8, 4, 20, 4, 4, 8, 6, 6, 32, 2, 8, 4, 8, 8, 12, 2, 4, 12, 28, 4, 8, 4, 6, 12, 8, 2, 36, 2, 8, 8, 6, 2, 16, 8, 20, 8, 8, 2, 24, 2, 16, 4, 8, 4, 12, 2, 6, 12, 12, 4, 24, 8, 4, 12, 12, 2, 8, 2, 16, 4, 8, 4, 30, 8, 4, 8, 10, 4, 32, 2, 12, 6, 4, 12, 16, 6, 4, 4, 12, 2, 12, 2, 20, 8, 8, 4, 24, 4, 8, 16, 8, 2, 8, 4, 12, 8, 8, 4, 45, 4, 4, 4, 12, 8, 8, 2, 16, 6, 12, 4, 24, 2, 8, 8, 12, 2, 16, 8, 12, 8, 4, 2, 16, 8, 12, 12, 6, 4, 24, 2, 10, 8, 8, 4, 18, 2, 8, 4, 32, 4, 8, 2, 6, 14, 4, 4, 28, 4, 12, 4, 12, 4, 24, 8, 8, 8, 8, 2, 24, 4, 4, 12, 10, 4, 16, 4, 12, 4, 8, 2, 32, 2, 8, 18, 6, 2, 8, 4, 24, 6, 8, 4, 12, 8, 8, 4, 8, 8, 24, 2, 12, 4, 4, 4, 40, 2, 6, 8, 18, 2, 8, 6, 8, 16, 8, 4, 18, 2, 16, 4, 16, 4, 8, 4, 6, 12, 12, 2, 32, 3, 4, 8, 18, 6, 20, 2, 10, 8, 8, 8, 12, 2, 4, 12, 8, 4, 16, 2, 24, 8, 4, 4, 36, 8, 4, 4, 6, 4, 20, 6, 16, 8, 4, 4, 12, 6, 4, 8, 20, 2, 24, 4, 6, 8, 8, 2, 16, 2, 16, 6, 12, 8, 16, 6, 14, 4, 4, 2, 48, 4, 8, 8, 16, 4, 8, 4, 6, 6, 8, 4, 20, 2, 8, 16, 12, 2, 12, 4, 24, 8, 4, 2, 12, 4, 8, 10, 24, 4, 16, 4, 6, 8, 4, 8, 24, 4, 8, 8, 12, 2, 24, 2, 10, 18, 4, 4, 24, 4, 8, 4, 8, 2, 16, 8, 12, 4, 8, 4, 36, 4, 8, 12, 9, 4, 8, 2, 16, 4, 24, 2, 18, 2, 8, 8, 10, 8, 8, 4, 12, 16, 4, 2, 32, 4, 4, 4, 6, 4, 24, 6, 18, 4, 8, 8, 24, 2, 8, 6, 16, 2, 8, 4, 6, 16, 8, 6, 30, 2, 8, 4, 12, 4, 16, 8, 8, 6, 4, 4, 36, 4, 4, 4, 14, 8, 24, 2, 6, 4, 16, 2, 16, 8, 8, 16, 12, 2, 8, 2, 30, 4, 8, 2, 18, 6, 8, 16, 8, 2, 16, 2, 6, 12, 8, 4, 24, 4, 8, 8, 12, 4, 16, 2, 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16, 2, 16, 16, 8, 2, 18, 4, 8, 8, 48, 6, 32, 4, 6, 12, 4, 8, 16, 4, 8, 4, 36, 4, 48, 8, 20, 16, 4, 4, 24, 8, 8, 24, 8, 4, 8, 4, 24, 8, 8, 2, 96, 4, 8, 8, 6, 6, 16, 2, 8, 24, 16, 2, 12, 8, 8, 8, 10, 8, 12, 4, 24, 4, 8, 2, 64, 8, 4, 6, 12, 4, 24, 6, 12, 8, 16, 16, 24, 4, 8, 4, 32, 2, 16, 4, 12, 24, 16, 2, 40, 3, 16, 12, 12, 2, 12, 6, 16, 8, 4, 4, 48, 4, 4, 16, 14, 4, 16, 2, 24, 8, 16, 8, 24, 4, 8, 16, 6, 6, 8, 8, 60, 6, 8, 4, 12, 8, 4, 16, 8, 2, 60, 2, 12, 8, 8, 4, 24, 2, 4, 6, 36, 16, 24, 4, 8, 12, 8, 4, 36, 4, 8, 8, 20, 4, 8, 8, 6, 8, 4, 8, 64, 2, 16, 8, 12, 4, 24, 2, 18, 24, 24, 4, 12, 4, 8, 12, 32, 2, 16, 8, 12, 4, 4, 4, 40, 8, 4, 8, 6, 4, 32, 4, 32, 12, 4, 6, 24, 4, 16, 4, 24, 2, 12, 4, 24, 16, 4, 8, 32, 4, 16, 20, 12, 4, 8, 8, 10, 8, 32, 4, 54, 2, 8, 8, 8, 8, 16, 8, 6, 12, 8, 4, 56, 4, 4, 16, 12, 4, 32, 8, 32, 4, 8, 2, 48, 10, 16, 6, 10, 2, 16, 6, 6, 8, 8, 8, 48, 4, 4, 4, 24, 8, 16, 2, 12, 16, 8, 6, 12, 4, 24, 4, 8, 4, 48, 8, 12, 4, 8, 4, 40, 8, 4, 12, 24, 8, 8, 4, 16, 8, 8, 4, 36, 4, 8, 48, 32, 4, 8, 2, 12, 6, 8, 4, 16, 8, 8, 8, 6, 12, 24, 4, 30, 8, 8, 8, 36, 8, 8, 8, 24, 4, 16, 4, 6, 8, 4, 2, 72, 8, 32, 8, 12, 2, 8, 8, 8, 12, 4, 4, 24, 2, 8, 8, 20, 6, 32, 2, 12, 8, 32, 4, 16, 4, 4, 24, 12, 4, 16, 4, 28, 16, 4, 4, 18, 12, 4, 4, 8, 4, 32, 2, 36, 10, 8, 8, 40, 2, 8, 8, 24, 4, 24, 4, 16, 8, 8, 4, 24, 2, 16, 12, 24, 8, 16, 6, 12, 16, 4, 4, 128, 4, 8, 6, 6, 8, 8, 8, 10, 12, 8, 4, 12, 4, 24, 8, 16, 2, 24, 2, 18, 16, 8, 4, 32, 4, 16, 16, 12, 4, 32, 4, 8, 4, 4, 12, 18, 2, 16, 8, 20, 2, 16, 2, 12, 36, 8, 2, 32, 8, 8, 8, 24, 4, 20, 8, 24, 4, 4, 4, 48, 4, 4, 18, 16, 16, 16, 2, 12, 4, 24, 4, 30, 4, 4, 16, 12, 4, 24, 4, 16, 8, 16, 8, 24, 8, 8, 4, 28, 2, 24, 16, 6, 12, 8, 8, 16, 2, 8, 12, 12, 4, 16, 4, 40, 16, 4, 2, 24, 2, 8, 4, 24, 4, 24, 8, 12, 18, 4, 4, 72, 4, 4, 4, 12, 4, 48, 2, 8, 4, 16, 2, 24, 8, 4, 20, 10, 8, 16, 2, 48, 8, 4, 8, 24, 12, 8, 16, 12, 2, 32, 4, 16, 6, 16, 4, 24, 4, 8, 16, 32, 10, 16, 2, 6, 8, 4, 4, 40, 4, 24, 6, 12, 2, 16, 16, 16, 8, 8, 2, 36, 4, 16, 8, 24, 8, 8, 2, 12, 16, 16, 4, 32, 2, 8, 24, 12, 8, 12, 2, 20, 8, 8, 8, 24, 4, 8, 12, 16, 4, 48, 2, 6, 4, 16, 4, 70, 4, 8, 4, 24, 4, 8, 4, 16, 24, 4, 2, 12, 4, 8, 8, 20, 8, 24, 16, 12, 4, 16, 2, 32, 4, 4, 16, 6, 12, 8, 12, 12, 4, 16, 4, 72, 2, 8, 8, 16, 4, 16, 6, 24, 6, 8, 2, 20, 4, 8, 8, 12, 12, 48, 4, 16, 24, 4, 8, 24, 4, 4, 12, 72, 2, 8, 2, 12, 8, 16, 4, 36, 4, 8, 16, 12, 2, 16, 6, 20, 10, 8, 4, 48, 4, 8, 8, 8, 4, 12, 4, 18, 8, 8, 4, 48, 4, 4, 24, 9, 2, 8, 4, 48, 8, 8, 4, 48, 16, 8, 4, 10, 4, 32, 4, 12, 6, 4, 12, 32, 4, 8, 8, 12, 2, 12, 8, 28, 16, 8, 2, 12, 8, 16, 16, 8, 4, 16, 4, 6, 24, 8, 2, 60, 2, 16, 8, 24, 8, 16, 4, 32, 12, 12, 8, 12, 4, 8, 8, 12, 4, 48, 4, 12, 4, 4, 2, 16, 8, 4, 12, 12, 2, 64, 4, 20, 8, 8, 6, 18, 4, 4, 16, 16, 4, 8, 4, 6, 32, 24, 8, 32, 2, 16, 8, 12, 8, 12, 4, 24, 8, 8, 4, 72, 4, 8, 12, 20, 8, 8, 8, 6, 8, 8, 2, 32, 2, 16, 8, 24, 2, 8, 4, 24, 12, 8, 4, 24, 12, 4, 4, 32, 2, 24, 2, 6, 4, 4, 24, 60, 2, 4, 20, 12, 4, 16, 4, 8, 16, 8, 8, 36, 4, 20, 4, 14, 8, 16, 4, 12, 6, 12, 4, 32, 8, 16, 8, 6, 4, 32, 4, 10, 16, 32, 4, 12, 2, 16, 18, 8, 8, 16, 2, 24, 8, 4, 4, 72, 8, 4, 16, 6, 4, 32, 8, 16, 8, 8, 4, 12, 4, 8, 4, 60, 2, 24, 4, 12, 16, 8, 2, 32, 2, 16, 6, 12, 8, 16, 4, 20, 4, 4, 8, 60, 4, 4, 4, 16, 12, 32, 4, 12, 12, 8, 4, 40, 6, 4, 16, 6, 2, 36, 4, 32, 8, 8, 4, 12, 8, 8, 16, 12, 2, 24, 4, 12, 8, 16, 8, 24, 12, 4, 8, 12, 8, 8, 4, 20, 24, 4, 2, 48, 2, 8, 4, 16, 2, 16, 16, 12, 8, 8, 8, 56, 4, 12, 6, 12, 4, 8, 2, 16, 16, 32, 4, 36, 2, 8, 16, 20, 2, 16, 2, 36, 24, 4, 8, 32, 8, 8, 4, 12, 2, 48, 2, 24, 4, 12, 8, 12, 8, 4, 12, 16, 4, 8, 12, 12, 12, 4, 2, 40, 2, 16, 12, 6, 8, 16, 8, 16, 6, 16, 2, 48, 4, 8, 16, 16, 16, 24, 2, 12, 4, 12, 4, 64, 2, 4, 16, 24, 4, 8, 8, 20, 4, 4, 2, 18, 4, 8, 8, 16, 8, 16, 4, 12, 12, 16, 12, 24, 4, 12, 4, 36, 2, 40, 6, 8, 8, 8, 8, 24, 4, 16, 12, 20, 2, 16, 8, 6, 4, 4, 2, 96, 4, 8, 8, 12, 4, 16, 4, 56, 16, 8, 4, 24, 2, 8, 32, 8, 2, 12, 4, 12, 8, 16, 2, 20, 12, 8, 6, 12, 12, 16, 4, 8, 8, 12, 8, 48, 4, 8, 4, 24, 2, 16, 4, 12, 24, 4, 8, 16, 4, 24, 8, 6, 2, 12, 8, 20, 16, 4, 4, 48, 8, 4, 10, 32, 4, 32, 4, 6, 4, 8, 4, 54, 4, 4, 12, 24, 4, 24, 2, 16, 12, 8, 2, 24, 16, 16, 4, 20, 2, 32, 4, 12, 16, 4, 4, 16, 4, 4, 36, 18, 4, 16, 2, 24, 8, 8, 8, 18, 2, 32, 4, 16, 4, 8, 8, 12, 8, 4, 2, 80, 4, 8, 16, 6, 16, 12, 12, 8, 8, 16, 2, 24, 2, 16, 12, 14, 2, 32, 2, 12, 8, 8, 4, 56, 8, 8, 4, 12, 2, 24, 8, 10, 12, 8, 8, 12, 4, 8, 4, 32, 8, 24, 4, 12, 16, 8, 4, 24, 8, 16, 8, 6, 2, 8, 6, 48, 8, 8, 6, 72, 2, 8, 8, 10, 8, 16, 8, 12, 12, 32, 2, 16, 4, 4, 16, 6, 8, 32, 8, 48, 8, 8, 6, 24, 4, 4, 12, 8, 8, 16, 4, 12, 4, 8, 4, 60, 4, 16, 4, 36, 4, 16, 2, 16, 45, 4, 4, 12, 8, 8, 16, 24, 2, 24, 8, 6, 8, 12, 4, 32, 2, 16, 6, 12, 8, 32, 4, 10, 4, 16, 2, 24, 8, 4, 16, 16, 2, 16, 2, 24, 12, 8, 4, 56, 4, 4, 16, 24, 4, 24, 4, 8, 4, 12, 18, 12, 2, 4, 8, 40, 8, 8, 4, 6, 8, 8, 4, 48, 2, 8, 8, 12, 4, 32, 8, 24, 24, 8, 4, 36, 4, 16, 8, 8, 4, 20, 4, 24, 8, 8, 4, 20, 4, 16, 12, 12, 2, 8, 4, 32, 4, 8, 6, 36, 12, 4, 8, 22, 4, 64, 4, 12, 16, 4, 4, 16, 8, 4, 4, 12, 6, 12, 4, 20, 16, 8, 2, 24, 2, 12, 24, 16, 4, 16, 8, 12, 4, 16, 4, 96, 4, 4, 8, 6, 16, 8, 2, 8, 12, 16, 2, 54, 4, 8, 20, 10, 2, 12, 4, 12, 8, 16, 8, 32, 16, 16, 12, 6, 4, 16, 2, 14, 8, 4, 8, 36, 2, 8, 8, 48, 2, 8, 4, 6, 18, 8, 8, 40, 2, 8, 8, 12, 4, 32, 8, 24, 8, 8, 4, 24, 6, 4, 6, 24, 12, 16, 4, 24, 16, 16, 2, 24, 4, 8, 16, 6, 4, 8, 2, 40, 16, 8, 4, 12, 4, 8, 4, 16, 4, 72, 4, 18, 4, 4, 4, 64, 4, 6, 12, 12, 4, 24, 8, 8, 16, 8, 4, 30, 2, 32, 8, 10, 4, 16, 12, 12, 12, 4, 4, 32, 4, 4, 4, 48, 8, 12, 2, 12, 8, 8, 8, 12, 4, 4, 32, 8, 2, 32, 8, 24, 8, 16, 4, 30, 8, 8, 8, 6, 4, 32, 4, 16, 6, 4, 8, 12, 8, 8, 12, 28, 4, 32, 2, 12, 12, 8, 2, 64, 2, 16, 6, 12, 8, 16, 8, 10, 4, 8, 4, 72, 12, 8, 4, 16, 8, 16, 4, 12, 10, 24, 2, 48, 4, 16, 8, 6, 4, 12, 2, 32, 16, 8, 2, 12, 4, 4, 24, 30, 4, 16, 2, 24, 4, 4, 12, 32, 2, 4, 8, 24, 2, 16, 6, 18, 12, 16, 4, 24, 8, 16, 8, 16, 8, 24, 4, 12, 4, 8, 4, 60, 4, 4, 32, 12, 8, 16, 2, 8, 4, 16, 2, 18, 8, 4, 16, 24, 12, 8, 8, 24, 6, 4, 2, 32, 8, 8, 8, 6, 4, 48, 8, 20, 4, 8, 4, 36, 4, 16, 6, 32, 4, 8, 2, 12, 32, 4, 4, 42, 4, 12, 8, 12, 4, 16, 8, 8, 8, 8, 8, 48, 2, 4, 8, 10, 8, 36, 2, 6, 4, 8, 16, 16, 8, 16, 18, 6, 4, 16, 2, 48, 8, 16, 4, 48, 4, 4, 16, 16, 2, 16, 4, 6, 24, 8, 8, 40, 4, 8, 8, 18, 4, 24, 4, 24, 24, 4, 2, 24, 2, 24, 10, 32, 2, 8, 24, 12, 8, 8, 2, 48, 2, 16, 8, 12, 6, 16, 4, 20, 12, 8, 8, 12, 2, 8, 16, 32, 4, 16, 4, 12, 4, 4, 4, 24, 4, 8, 6, 12, 4, 64, 4, 16, 8, 4, 8, 36, 4, 8, 8, 40, 2, 16, 4, 18, 16, 8, 2, 16, 8, 16, 8, 6, 4, 24, 12, 14, 8, 8, 4, 24, 8, 4, 6, 8, 8, 8, 2, 24, 16, 16, 4, 100, 2, 8, 8, 12, 4, 8, 8, 24, 12, 8, 8, 12, 4, 8, 16, 12, 2, 24, 4, 6, 16, 16, 4, 16, 2, 8, 8, 48, 4, 16, 2, 20, 24, 16, 8, 36, 2, 16, 8, 8, 2, 16, 8, 12, 6, 4, 2, 80, 8, 4, 8, 12, 8, 24, 8, 16, 8, 12, 4, 24, 4, 4, 24, 15, 4, 32, 2, 12, 4, 12, 4, 48, 4, 16, 4, 6, 8, 16, 2, 12, 14, 4, 16, 48, 2, 4, 12, 32, 2, 24, 8, 6, 8, 4, 4, 20, 8, 16, 12, 24, 4, 8, 4, 8, 16, 8, 4, 72, 2, 16, 4, 28, 16, 8, 2, 6, 12, 16, 6, 32, 8, 4, 8, 6, 4, 48, 4, 20, 8, 8, 2, 24, 12, 8, 8, 8, 2, 16, 4, 24, 4, 8, 16, 36, 6, 8, 8, 24, 4, 8, 4, 24, 12, 24, 4, 12, 4, 12, 4, 10, 8, 20, 4, 6, 16, 16, 4, 96, 2, 8, 12, 12, 4, 8, 4, 32, 8, 16, 2, 18, 4, 16, 24, 8, 4, 16, 8, 12, 24, 4, 4, 20, 4, 4, 4, 12, 2, 48, 2, 16, 4, 12, 8, 24, 6, 4, 12};

unsigned long long count(int ab)
{
    unsigned long long ret = ab == 1 ? 1 : 2;
    int end = sqrt(ab);
    FROM_S(i, 2, end + 1)
    {
        if (ab % i == 0)
        {
            ret += i * i == ab ? 1 : 2;
        }
    }
    //cout << ab << ' ' << ret << endl;
    return ret;
}

int main()
{
    int n;
    cin >> n;
    unsigned long long result = 0;
    FROM_S(c, 1, n)
    {
        int ab = n - c;
        if (ab < 100000)
            result += t[ab];
        else
            result += count(ab);
    }
    cout << result << endl;
    return 0;
}

Measured memory_bytes: 4452