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Dec 11th, 2019
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C++ 2.47 KB | None | 0 0
  1. #include <iostream>
  2. #include <iomanip>
  3. #include <cstdlib>
  4. #include <algorithm>
  5. #include <vector>
  6. #include <queue>
  7. #include <stack>
  8. #include <climits>
  9. #include <string>
  10. #include <set>
  11. #include <cmath>
  12. #include <map>
  13. #include <unordered_map>
  14. #include <numeric>
  15. #include <random>
  16. #include <memory>
  17. #include <chrono>
  18. #include <iterator>
  19. #include <functional>
  20. #include <unordered_set>
  21. #include <cassert>
  22. #include <cstring>
  23. #ifdef LOCAL
  24. #include "debug.h"
  25. #else
  26. #define debug(x...)
  27. #endif
  28. /*
  29. #pragma GCC optimize("Ofast")
  30. #pragma GCC optimize("O3")
  31. #pragma GCC optimize("unroll-loops")
  32. */
  33. //#define int ll
  34.  
  35.  
  36.  
  37. using namespace std;
  38. typedef long long ll;
  39. typedef long double ld;
  40. typedef pair < int, int > pii;
  41. typedef pair < ll, ll > pll;
  42. #define sz(x) int((x).size())
  43.  
  44. #ifndef LOCAL
  45. mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
  46. #else
  47. mt19937 rng(228);
  48. #endif
  49.  
  50. const int N = 5e2 + 7;;
  51. const int inf = INT_MAX / 2;
  52. const ll INF = LLONG_MAX / 3;
  53. const int MOD = 1e9 + 7;
  54. const double eps = 1e-6;
  55. const string cars[] = {"🚗", "🚕", "🚙"};
  56.  
  57. int ans, n;
  58. vector < int > d, d_;
  59.  
  60. struct Hash {
  61.     size_t operator() (const pii& x) const noexcept {
  62.         return (x.first + 1) + (x.second + 1) * 229;
  63.     }
  64. };
  65.  
  66. unordered_map < pii, int, Hash > a;
  67.  
  68. void f(int p, ll mul, char k, int i, char m) {
  69.     //cout << k << " " << m << endl;
  70.     if (k == m) {
  71.         ans++;
  72.         return;
  73.     }
  74.  
  75.     for (; i < sz(d); i++) {
  76.         if (a[{ p, d[i] }] == 1) {
  77.             if (mul * d[i] > n) {
  78.                 continue;
  79.             }
  80.  
  81.             f(d[i], mul * d[i], k + 1, i + 1, m);
  82.         }
  83.     }
  84. }
  85.  
  86. signed main() {
  87. #ifdef LOCAL
  88.     freopen("input.txt", "r", stdin);
  89.     freopen("output.txt", "w", stdout);
  90. #endif
  91.     cout << fixed << setprecision(4);
  92.     ios::sync_with_stdio(false);
  93.     cin.tie();
  94.     cout.tie();
  95.  
  96.     int m;
  97.     cin >> n >> m;
  98.  
  99.     for (int i = 1; i * i <= n; i++) {
  100.         if (n % i == 0) {
  101.             d.push_back(i);
  102.             if (i * i != n) {
  103.                 d_.push_back(n / i);
  104.             }
  105.         }
  106.     }
  107.  
  108.     for (int i = sz(d_) - 1; i >= 0; i--) {
  109.         d.push_back(d_[i]);
  110.     }
  111.     debug(d);
  112.  
  113.     a.rehash(1e6);
  114.     for (int i = 0; i < sz(d); i++) {
  115.         for (int j = i + 1; j < sz(d); j++) {
  116.             a[{ d[i], d[j] }] = __gcd(d[i], d[j]);
  117.         }
  118.         a[{ 1, d[i] }] = 1;
  119.     }
  120.  
  121.     f(1, 1, 'a', 0, 'a' + m);
  122.  
  123.     cout << ans;
  124.  
  125.     return 0;
  126. }
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