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  1. #include <iostream>
  2. using std::cin, std::cout;
  3. typedef long long ll;
  4. ll ans = 1, modulo = 1e9 + 7;
  5. void binary_pow(ll a, ll b)
  6. {
  7.     ll tmp = a % modulo;
  8.     while (b > 0)
  9.     {
  10.         if (b & 1)
  11.             ans = (ans * tmp) % modulo;
  12.         tmp = (tmp * tmp) % modulo;
  13.         b >>= 1;
  14.     }
  15. }
  16. int main()
  17. {
  18.     std::ios::sync_with_stdio(false);
  19.     cin.tie(nullptr);
  20.     cout.tie(nullptr);
  21.     ll n, i, j, tmp;
  22.     cin >> n;
  23.     bool free[n+1];
  24.     for (i = 2; i <= n; ++i)
  25.         if (!free[i])
  26.         {
  27.             tmp = n;
  28.             j = 0;
  29.             while ((tmp /= i) > 0)
  30.                 j += tmp;
  31.             binary_pow(i, j - (ll) (j & 1));
  32.             for (j = i; j <= n / i; ++j)
  33.                 free[i*j] = true;
  34.         }
  35.     cout << ans;
  36. }
Success #stdin #stdout 0s 5296KB
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https://ideone.com/RzIiYU
language:
C++14 (gcc 8.3)
created:
236 days ago
visibility:
public

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