/* Program korzysta z testu pierwszosci na podstawie pracy: Fast Primality Testing for Integers That Fit into a Machine Word autorow: Michal Forisek i Jakub Jancina. Wystarczy przeprowadznie jednego testu pierwszosci w tym algorytmie. Funkcja is_SPRP, tj. strong probable prime przeprowadza silny test pierwszosci Millera-Rabina. Nieco zmodyfikowana implementacja tej funkcji (mniej operacji mnozenia) na podstawie implementacji testu pierwszosci Millera-Rabina jest z ksiazki Algorytmika Praktyczna, Nie tylko dla mistrzow autor: Piotr Stanczyk */ #include <cstdio> #include <iostream> #include <cmath> #include <vector> #include <ctime> typedef unsigned long long ull; typedef unsigned int uint; using namespace std; vector<int> primes; int prime[1001] = { 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 }; unsigned char bases_2[] = { 17, 11, 6, 60, 7, 13, 11, 34, 13, 2, 3, 37, 13, 11, 38, 2, 7, 105, 2, 7, 42, 11, 7, 3, 6, 15, 53, 44, 6, 6, 5, 15, 54, 7, 35, 10, 10, 15, 10, 10, 17, 17, 11, 10, 15, 43, 7, 5, 5, 3, 7, 43, 34, 2, 34, 2, 68, 53, 39, 10, 7, 6, 11, 2, 5, 2, 7, 2, 6, 5, 15, 40, 3, 5, 5, 2, 2, 10, 47, 13, 7, 43, 6, 7, 5, 6, 6, 13, 6, 35, 6, 15, 6, 13, 40, 10, 11, 2, 7, 2, 2, 3, 13, 3, 11, 15, 10, 5, 11, 14, 7, 11, 47, 5, 2, 2, 6, 2, 5, 55, 6, 5, 7, 2, 6, 58, 35, 11, 5, 12, 17, 6, 10, 12, 6, 6, 2, 53, 2, 2, 13, 5, 14, 7, 15, 6, 13, 62, 10, 6, 3, 7, 7, 3, 14, 5, 14, 73, 15, 11, 11, 6, 5, 17, 10, 5, 3, 37, 51, 10, 7, 5, 38, 12, 5, 11, 5, 7, 6, 5, 6, 40, 43, 57, 10, 13, 7, 15, 2, 10, 34, 7, 39, 10, 5, 3, 6, 13, 11, 5, 10, 43, 10, 5, 3, 14, 5, 2, 5, 41, 5, 39, 46, 2, 10, 2, 5, 12, 3, 2, 2, 5, 15, 43, 17, 41, 2, 13, 15, 38, 11, 11, 3, 34, 5, 6, 3, 7, 2, 37, 5, 6, 10, 17, 35, 2, 15, 6, 7, 5, 3, 13, 13, 12, 34, 2, 12, 10, 15, 13, 2, 2, 34, 6, 6, 5, 2, 7, 13, 3, 6, 11, 39, 42, 7, 2, 6, 39, 47, 3, 17, 5, 13, 7, 2, 47, 3, 7, 6, 11, 17, 37, 48, 7, 37, 11, 7, 10, 3, 14, 39, 14, 15, 43, 17, 2, 12, 7, 13, 5, 3, 6, 34, 37, 3, 17, 13, 2, 5, 10, 10, 44, 37, 2, 2, 10, 10, 7, 3, 7, 2, 7, 5, 43, 43, 11, 15, 51, 13, 17, 10, 11, 2, 5, 34, 17, 2, 2, 42, 6, 6, 5, 47, 15, 2, 12, 7, 3, 10, 15, 3, 7, 12, 12, 15, 43, 14, 7, 58, 13, 10, 6, 6, 38, 34, 5, 5, 13, 38, 6, 11, 10, 6, 7, 2, 55, 2, 13, 5, 11, 44, 15, 17, 2, 40, 2, 15, 13, 6, 2, 3, 3, 3, 3, 6, 39, 5, 11, 17, 37, 5, 7, 6, 10, 6, 12, 7, 5, 14, 10, 12, 71, 10, 35, 6, 11, 3, 2, 38, 3, 2, 34, 10, 17, 42, 2, 12, 6, 6, 11, 40, 12, 10, 6, 10, 2, 3, 3, 56, 11, 7, 42, 2, 38, 12, 2, 2, 13, 40, 12, 6, 5, 5, 59, 15, 38, 5, 5, 5, 7, 2, 10, 7, 2, 17, 10, 11, 6, 6, 6, 2, 10, 6, 54, 2, 82, 3, 34, 14, 15, 44, 5, 46, 2, 13, 5, 12, 13, 11, 10, 39, 5, 40, 3, 60, 3, 42, 11, 3, 46, 17, 3, 2, 37, 6, 42, 12, 14, 3, 12, 66, 13, 34, 7, 3, 13, 3, 11, 2, 13, 12, 38, 34, 5, 40, 10, 14, 6, 14, 11, 38, 58, 2, 48, 5, 15, 5, 73, 3, 37, 5, 11, 10, 5, 5, 13, 2, 10, 13, 34, 17, 3, 7, 47, 2, 2, 10, 15, 3, 3, 13, 6, 34, 13, 10, 13, 3, 6, 41, 10, 6, 2, 6, 2, 6, 2, 6, 6, 37, 10, 44, 35, 13, 51, 2, 7, 53, 5, 40, 5, 2, 37, 11, 15, 11, 13, 2, 5, 2, 6, 10, 17, 15, 43, 39, 17, 2, 12, 10, 15, 17, 7, 13, 3, 7, 15, 37, 5, 15, 7, 6, 10, 51, 2, 2, 40, 61, 2, 13, 13, 11, 2, 5, 34, 5, 5, 7, 2, 2, 2, 11, 3, 6, 13, 6, 17, 11, 10, 7, 46, 15, 7, 14, 35, 11, 7, 10, 6, 11, 40, 11, 2, 39, 7, 6, 66, 5, 3, 6, 5, 11, 10, 2, 10, 7, 13, 2, 45, 34, 6, 35, 2, 11, 5, 59, 75, 10, 17, 14, 17, 17, 17, 2, 11, 7, 10, 6, 11, 6, 56, 34, 35, 11, 14, 12, 41, 40, 17, 40, 3, 11, 7, 37, 14, 7, 13, 7, 5, 2, 10, 6, 39, 2, 7, 37, 35, 10, 5, 15, 2, 7, 38, 34, 11, 17, 5, 6, 10, 3, 6, 7, 7, 43, 14, 2, 43, 3, 2, 47, 7, 35, 7, 3, 53, 2, 10, 10, 10, 60, 10, 6, 2, 6, 10, 5, 7, 57, 53, 13, 3, 35, 38, 15, 42, 3, 3, 12, 2, 10, 3, 38, 54, 13, 10, 11, 7, 13, 7, 2, 12, 39, 10, 54, 2, 12, 38, 10, 12, 12, 5, 15, 6, 10, 13, 5, 15, 10, 13, 6, 41, 40, 14, 12, 10, 11, 40, 5, 11, 10, 2, 5, 2, 13, 6, 2, 13, 5, 2, 10, 15, 5, 5, 10, 34, 13, 2, 5, 14, 5, 6, 5, 13, 3, 43, 6, 13, 11, 50, 3, 6, 6, 12, 15, 11, 37, 7, 69, 11, 14, 14, 7, 43, 5, 35, 11, 35, 11, 11, 34, 34, 39, 14, 11, 2, 10, 53, 6, 11, 2, 11, 60, 39, 11, 6, 15, 40, 17, 47, 34, 50, 7, 59, 47, 5, 13, 39, 5, 6, 53, 10, 14, 5, 51, 5, 7, 5, 6, 77, 7, 12, 7, 42, 2, 5, 2, 6, 60, 10, 13, 10, 6, 47, 6, 15, 17, 10, 11, 10, 12, 7, 7, 10, 17, 34, 5, 10, 7, 7, 2, 6, 10, 38, 2, 15, 6, 13, 7, 13, 2, 3, 13, 5, 3, 17, 2, 5, 15, 11, 39, 7, 39, 10, 10, 2, 6, 13, 3, 5, 17, 6, 14, 10, 37, 44, 3, 34, 5, 11, 7, 12, 2, 5, 3, 12, 3, 2, 3, 133, 12, 2, 2, 2, 3, 34, 14, 41, 2, 37, 11, 2, 6, 11, 6, 7, 15, 11, 35, 13, 6, 5, 2, 14, 7, 2 }; int is_SPRP(ull x, ull n) { long long d=1,y; int t=0,l=n-1; while (!(l&1)) {++t; l>>=1;} for(;l>0 || t--;l>>=1) { if(l&1) d=(d*x)%n; if(!l) {x=d; l=-1;} y=(x*x)%n; if(y==1 && x!=1 && x!=n-1) return 0; x = y; } return x==1; } int isPrime(uint x) { if (x < 1000) { return prime[x]; } if(x%2==0 || x%3==0 || x%5==0 || x%7==0) return 0; return is_SPRP(bases_2[(((long long)0xAFF7B4*x)>>7)&1023],(ull)x); } int ileD(int x) { if (x <= 5) return 0; if (isPrime(x)) return 0; int m = -2; if (x % 2 == 0) m--; int ans = 1; for (int i = 0; i < primes.size(); i++) { int e = 0; if (primes[i] > x) break; while (x % primes[i] == 0) { x /= primes[i]; e++; } ans *= (e + 1); } if (isPrime(x)) return ans * 2 + m; else { int y = (int)(sqrt(x) + 0.5); if ((y * y == x) && isPrime(y)) return ans * 3 + m; } if (x != 1) return ans * 4 + m; return ans + m; } int main() { int n; scanf("%d", &n); for (int i = 0; i <= min(n, 1000); i++) if (prime[i]) primes.push_back(i); int ile = 0; for (int a = 1; a * a <= n; a++) { if (n % a) continue; ile += ileD(n / a - 1); if (a * a == n) break; ile += ileD(a - 1); } printf("%d\n", ile); return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 | /* Program korzysta z testu pierwszosci na podstawie pracy: Fast Primality Testing for Integers That Fit into a Machine Word autorow: Michal Forisek i Jakub Jancina. Wystarczy przeprowadznie jednego testu pierwszosci w tym algorytmie. Funkcja is_SPRP, tj. strong probable prime przeprowadza silny test pierwszosci Millera-Rabina. Nieco zmodyfikowana implementacja tej funkcji (mniej operacji mnozenia) na podstawie implementacji testu pierwszosci Millera-Rabina jest z ksiazki Algorytmika Praktyczna, Nie tylko dla mistrzow autor: Piotr Stanczyk */ #include <cstdio> #include <iostream> #include <cmath> #include <vector> #include <ctime> typedef unsigned long long ull; typedef unsigned int uint; using namespace std; vector<int> primes; int prime[1001] = { 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 }; unsigned char bases_2[] = { 17, 11, 6, 60, 7, 13, 11, 34, 13, 2, 3, 37, 13, 11, 38, 2, 7, 105, 2, 7, 42, 11, 7, 3, 6, 15, 53, 44, 6, 6, 5, 15, 54, 7, 35, 10, 10, 15, 10, 10, 17, 17, 11, 10, 15, 43, 7, 5, 5, 3, 7, 43, 34, 2, 34, 2, 68, 53, 39, 10, 7, 6, 11, 2, 5, 2, 7, 2, 6, 5, 15, 40, 3, 5, 5, 2, 2, 10, 47, 13, 7, 43, 6, 7, 5, 6, 6, 13, 6, 35, 6, 15, 6, 13, 40, 10, 11, 2, 7, 2, 2, 3, 13, 3, 11, 15, 10, 5, 11, 14, 7, 11, 47, 5, 2, 2, 6, 2, 5, 55, 6, 5, 7, 2, 6, 58, 35, 11, 5, 12, 17, 6, 10, 12, 6, 6, 2, 53, 2, 2, 13, 5, 14, 7, 15, 6, 13, 62, 10, 6, 3, 7, 7, 3, 14, 5, 14, 73, 15, 11, 11, 6, 5, 17, 10, 5, 3, 37, 51, 10, 7, 5, 38, 12, 5, 11, 5, 7, 6, 5, 6, 40, 43, 57, 10, 13, 7, 15, 2, 10, 34, 7, 39, 10, 5, 3, 6, 13, 11, 5, 10, 43, 10, 5, 3, 14, 5, 2, 5, 41, 5, 39, 46, 2, 10, 2, 5, 12, 3, 2, 2, 5, 15, 43, 17, 41, 2, 13, 15, 38, 11, 11, 3, 34, 5, 6, 3, 7, 2, 37, 5, 6, 10, 17, 35, 2, 15, 6, 7, 5, 3, 13, 13, 12, 34, 2, 12, 10, 15, 13, 2, 2, 34, 6, 6, 5, 2, 7, 13, 3, 6, 11, 39, 42, 7, 2, 6, 39, 47, 3, 17, 5, 13, 7, 2, 47, 3, 7, 6, 11, 17, 37, 48, 7, 37, 11, 7, 10, 3, 14, 39, 14, 15, 43, 17, 2, 12, 7, 13, 5, 3, 6, 34, 37, 3, 17, 13, 2, 5, 10, 10, 44, 37, 2, 2, 10, 10, 7, 3, 7, 2, 7, 5, 43, 43, 11, 15, 51, 13, 17, 10, 11, 2, 5, 34, 17, 2, 2, 42, 6, 6, 5, 47, 15, 2, 12, 7, 3, 10, 15, 3, 7, 12, 12, 15, 43, 14, 7, 58, 13, 10, 6, 6, 38, 34, 5, 5, 13, 38, 6, 11, 10, 6, 7, 2, 55, 2, 13, 5, 11, 44, 15, 17, 2, 40, 2, 15, 13, 6, 2, 3, 3, 3, 3, 6, 39, 5, 11, 17, 37, 5, 7, 6, 10, 6, 12, 7, 5, 14, 10, 12, 71, 10, 35, 6, 11, 3, 2, 38, 3, 2, 34, 10, 17, 42, 2, 12, 6, 6, 11, 40, 12, 10, 6, 10, 2, 3, 3, 56, 11, 7, 42, 2, 38, 12, 2, 2, 13, 40, 12, 6, 5, 5, 59, 15, 38, 5, 5, 5, 7, 2, 10, 7, 2, 17, 10, 11, 6, 6, 6, 2, 10, 6, 54, 2, 82, 3, 34, 14, 15, 44, 5, 46, 2, 13, 5, 12, 13, 11, 10, 39, 5, 40, 3, 60, 3, 42, 11, 3, 46, 17, 3, 2, 37, 6, 42, 12, 14, 3, 12, 66, 13, 34, 7, 3, 13, 3, 11, 2, 13, 12, 38, 34, 5, 40, 10, 14, 6, 14, 11, 38, 58, 2, 48, 5, 15, 5, 73, 3, 37, 5, 11, 10, 5, 5, 13, 2, 10, 13, 34, 17, 3, 7, 47, 2, 2, 10, 15, 3, 3, 13, 6, 34, 13, 10, 13, 3, 6, 41, 10, 6, 2, 6, 2, 6, 2, 6, 6, 37, 10, 44, 35, 13, 51, 2, 7, 53, 5, 40, 5, 2, 37, 11, 15, 11, 13, 2, 5, 2, 6, 10, 17, 15, 43, 39, 17, 2, 12, 10, 15, 17, 7, 13, 3, 7, 15, 37, 5, 15, 7, 6, 10, 51, 2, 2, 40, 61, 2, 13, 13, 11, 2, 5, 34, 5, 5, 7, 2, 2, 2, 11, 3, 6, 13, 6, 17, 11, 10, 7, 46, 15, 7, 14, 35, 11, 7, 10, 6, 11, 40, 11, 2, 39, 7, 6, 66, 5, 3, 6, 5, 11, 10, 2, 10, 7, 13, 2, 45, 34, 6, 35, 2, 11, 5, 59, 75, 10, 17, 14, 17, 17, 17, 2, 11, 7, 10, 6, 11, 6, 56, 34, 35, 11, 14, 12, 41, 40, 17, 40, 3, 11, 7, 37, 14, 7, 13, 7, 5, 2, 10, 6, 39, 2, 7, 37, 35, 10, 5, 15, 2, 7, 38, 34, 11, 17, 5, 6, 10, 3, 6, 7, 7, 43, 14, 2, 43, 3, 2, 47, 7, 35, 7, 3, 53, 2, 10, 10, 10, 60, 10, 6, 2, 6, 10, 5, 7, 57, 53, 13, 3, 35, 38, 15, 42, 3, 3, 12, 2, 10, 3, 38, 54, 13, 10, 11, 7, 13, 7, 2, 12, 39, 10, 54, 2, 12, 38, 10, 12, 12, 5, 15, 6, 10, 13, 5, 15, 10, 13, 6, 41, 40, 14, 12, 10, 11, 40, 5, 11, 10, 2, 5, 2, 13, 6, 2, 13, 5, 2, 10, 15, 5, 5, 10, 34, 13, 2, 5, 14, 5, 6, 5, 13, 3, 43, 6, 13, 11, 50, 3, 6, 6, 12, 15, 11, 37, 7, 69, 11, 14, 14, 7, 43, 5, 35, 11, 35, 11, 11, 34, 34, 39, 14, 11, 2, 10, 53, 6, 11, 2, 11, 60, 39, 11, 6, 15, 40, 17, 47, 34, 50, 7, 59, 47, 5, 13, 39, 5, 6, 53, 10, 14, 5, 51, 5, 7, 5, 6, 77, 7, 12, 7, 42, 2, 5, 2, 6, 60, 10, 13, 10, 6, 47, 6, 15, 17, 10, 11, 10, 12, 7, 7, 10, 17, 34, 5, 10, 7, 7, 2, 6, 10, 38, 2, 15, 6, 13, 7, 13, 2, 3, 13, 5, 3, 17, 2, 5, 15, 11, 39, 7, 39, 10, 10, 2, 6, 13, 3, 5, 17, 6, 14, 10, 37, 44, 3, 34, 5, 11, 7, 12, 2, 5, 3, 12, 3, 2, 3, 133, 12, 2, 2, 2, 3, 34, 14, 41, 2, 37, 11, 2, 6, 11, 6, 7, 15, 11, 35, 13, 6, 5, 2, 14, 7, 2 }; int is_SPRP(ull x, ull n) { long long d=1,y; int t=0,l=n-1; while (!(l&1)) {++t; l>>=1;} for(;l>0 || t--;l>>=1) { if(l&1) d=(d*x)%n; if(!l) {x=d; l=-1;} y=(x*x)%n; if(y==1 && x!=1 && x!=n-1) return 0; x = y; } return x==1; } int isPrime(uint x) { if (x < 1000) { return prime[x]; } if(x%2==0 || x%3==0 || x%5==0 || x%7==0) return 0; return is_SPRP(bases_2[(((long long)0xAFF7B4*x)>>7)&1023],(ull)x); } int ileD(int x) { if (x <= 5) return 0; if (isPrime(x)) return 0; int m = -2; if (x % 2 == 0) m--; int ans = 1; for (int i = 0; i < primes.size(); i++) { int e = 0; if (primes[i] > x) break; while (x % primes[i] == 0) { x /= primes[i]; e++; } ans *= (e + 1); } if (isPrime(x)) return ans * 2 + m; else { int y = (int)(sqrt(x) + 0.5); if ((y * y == x) && isPrime(y)) return ans * 3 + m; } if (x != 1) return ans * 4 + m; return ans + m; } int main() { int n; scanf("%d", &n); for (int i = 0; i <= min(n, 1000); i++) if (prime[i]) primes.push_back(i); int ile = 0; for (int a = 1; a * a <= n; a++) { if (n % a) continue; ile += ileD(n / a - 1); if (a * a == n) break; ile += ileD(a - 1); } printf("%d\n", ile); return 0; } |