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- #include <iostream>
- #include <iomanip>
- #include <cstdlib>
- #include <algorithm>
- #include <vector>
- #include <queue>
- #include <stack>
- #include <climits>
- #include <string>
- #include <set>
- #include <cmath>
- #include <map>
- #include <unordered_map>
- #include <numeric>
- #include <random>
- #include <memory>
- #include <chrono>
- #include <iterator>
- #include <functional>
- #include <unordered_set>
- #include <cassert>
- #include <cstring>
- #ifdef LOCAL
- #include "debug.h"
- #else
- #define debug(x...)
- #endif
- /*
- #pragma GCC optimize("Ofast")
- #pragma GCC optimize("O3")
- #pragma GCC optimize("unroll-loops")
- */
- //#define int ll
- using namespace std;
- typedef long long ll;
- typedef long double ld;
- typedef pair < int, int > pii;
- typedef pair < ll, ll > pll;
- #define sz(x) int((x).size())
- #ifndef LOCAL
- mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
- #else
- mt19937 rng(228);
- #endif
- const int N = 5e2 + 7;;
- const int inf = INT_MAX / 2;
- const ll INF = LLONG_MAX / 3;
- const int MOD = 1e9 + 7;
- const double eps = 1e-6;
- const string cars[] = {"🚗", "🚕", "🚙"};
- int ans, n;
- vector < int > d, d_;
- struct Hash {
- size_t operator() (const pii& x) const noexcept {
- return (x.first + 1) + (x.second + 1) * 229;
- }
- };
- unordered_map < pii, int, Hash > a;
- void f(int p, ll mul, char k, int i, char m) {
- //cout << k << " " << m << endl;
- if (k == m) {
- ans++;
- return;
- }
- for (; i < sz(d); i++) {
- if (a[{ p, d[i] }] == 1) {
- if (mul * d[i] > n) {
- continue;
- }
- f(d[i], mul * d[i], k + 1, i + 1, m);
- }
- }
- }
- signed main() {
- #ifdef LOCAL
- freopen("input.txt", "r", stdin);
- freopen("output.txt", "w", stdout);
- #endif
- cout << fixed << setprecision(4);
- ios::sync_with_stdio(false);
- cin.tie();
- cout.tie();
- int m;
- cin >> n >> m;
- for (int i = 1; i * i <= n; i++) {
- if (n % i == 0) {
- d.push_back(i);
- if (i * i != n) {
- d_.push_back(n / i);
- }
- }
- }
- for (int i = sz(d_) - 1; i >= 0; i--) {
- d.push_back(d_[i]);
- }
- debug(d);
- a.rehash(1e6);
- for (int i = 0; i < sz(d); i++) {
- for (int j = i + 1; j < sz(d); j++) {
- a[{ d[i], d[j] }] = __gcd(d[i], d[j]);
- }
- a[{ 1, d[i] }] = 1;
- }
- f(1, 1, 'a', 0, 'a' + m);
- cout << ans;
- return 0;
- }
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