#include <iostream> #include <vector> #include <algorithm> #include <cstring> using namespace std; long long silnia[20]; long long power[10][20]; long long ret[10]; int ile[10]; int stabilize(long long x) { if (x < 10) return x; long long y = 1; while (x) { y *= (x % 10); x /= 10; } return stabilize(y); } void check_perms(int jeszcze, int minpos, long long mn, int dl) { if (jeszcze == 0) { long long stab = mn; for (int i = 0; i <= 9; i++) { stab *= power[i][ile[i]]; } stab = stabilize(stab); long long num_perm = silnia[dl]; for (int i = 0; i <= 9; i++) { num_perm /= silnia[ile[i]]; } ret[stab] += num_perm; return; } for (int i = minpos; i <= 9; i++) { ile[i]++; check_perms(jeszcze - 1, i, mn, dl); ile[i]--; } } void solve(long long n) { memset(ret, 0, 10 * sizeof (long long)); vector<int> v; while (n) { v.push_back(n % 10); n /= 10; } std::reverse(v.begin(), v.end()); // shorter numbers for (int dl = 1; dl < v.size(); dl++) { for (int pocz = 1; pocz <= 9; pocz++) { check_perms(dl - 1, 0, pocz, dl - 1); } } for (int pocz = 1; pocz < v[0]; pocz++) { check_perms(v.size() - 1, 0, pocz, v.size() - 1); } long long mn = v[0]; for (int pos = 1; pos < v.size(); pos++) { for (int pocz = 0; pocz < v[pos]; pocz++) { check_perms(v.size() - pos - 1, 0, mn * pocz, v.size() - pos - 1); } mn *= v[pos]; } ret[stabilize(mn)]++; } int main() { silnia[0] = 1; for (long long i = 1; i < 20; i++) { silnia[i] = silnia[i - 1] * i; } for (int i = 0; i <= 9; i++) { power[i][0] = 1; for (int j = 1; j <= 18; j++) { power[i][j] = power[i][j - 1] * i; } } int t; long long n; cin >> t; for (int i = 1; i <= t; i++) { cin >> n; solve(n); for (int i = 0; i <= 9; i++) { cout << ret[i] << " "; } cout << endl; } 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 | #include <iostream> #include <vector> #include <algorithm> #include <cstring> using namespace std; long long silnia[20]; long long power[10][20]; long long ret[10]; int ile[10]; int stabilize(long long x) { if (x < 10) return x; long long y = 1; while (x) { y *= (x % 10); x /= 10; } return stabilize(y); } void check_perms(int jeszcze, int minpos, long long mn, int dl) { if (jeszcze == 0) { long long stab = mn; for (int i = 0; i <= 9; i++) { stab *= power[i][ile[i]]; } stab = stabilize(stab); long long num_perm = silnia[dl]; for (int i = 0; i <= 9; i++) { num_perm /= silnia[ile[i]]; } ret[stab] += num_perm; return; } for (int i = minpos; i <= 9; i++) { ile[i]++; check_perms(jeszcze - 1, i, mn, dl); ile[i]--; } } void solve(long long n) { memset(ret, 0, 10 * sizeof (long long)); vector<int> v; while (n) { v.push_back(n % 10); n /= 10; } std::reverse(v.begin(), v.end()); // shorter numbers for (int dl = 1; dl < v.size(); dl++) { for (int pocz = 1; pocz <= 9; pocz++) { check_perms(dl - 1, 0, pocz, dl - 1); } } for (int pocz = 1; pocz < v[0]; pocz++) { check_perms(v.size() - 1, 0, pocz, v.size() - 1); } long long mn = v[0]; for (int pos = 1; pos < v.size(); pos++) { for (int pocz = 0; pocz < v[pos]; pocz++) { check_perms(v.size() - pos - 1, 0, mn * pocz, v.size() - pos - 1); } mn *= v[pos]; } ret[stabilize(mn)]++; } int main() { silnia[0] = 1; for (long long i = 1; i < 20; i++) { silnia[i] = silnia[i - 1] * i; } for (int i = 0; i <= 9; i++) { power[i][0] = 1; for (int j = 1; j <= 18; j++) { power[i][j] = power[i][j - 1] * i; } } int t; long long n; cin >> t; for (int i = 1; i <= t; i++) { cin >> n; solve(n); for (int i = 0; i <= 9; i++) { cout << ret[i] << " "; } cout << endl; } return 0; } |