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  1. //https://i...content-available-to-author-only...u.ru/5344-5.html
  2. #include <vector>
  3. #include <iostream>
  4. #include <iomanip>
  5. #include <algorithm>
  6.  
  7. using namespace std;
  8.  
  9. using ullong = unsigned long long int;
  10.  
  11. class tooLong
  12. {
  13. public:
  14.     static const unsigned int magic = 1000000000, digs = 9;
  15.     tooLong(unsigned int n = 0)
  16.     {
  17.         while(n)
  18.         {
  19.             a.push_back(n % tooLong::magic);
  20.             n /= tooLong::magic;
  21.         }
  22.         if (a.empty()) a.push_back(0);
  23.     };
  24.  
  25.     friend tooLong operator *(const tooLong& a, const tooLong& b);
  26.     friend ostream& operator <<(ostream&os, const tooLong& a);
  27.  
  28.     bool operator !() const { return !(a.size() == 1 && a[0] == 0); }
  29.  
  30. private:
  31.     vector<unsigned int> a;
  32.     static vector<unsigned int> sum(const vector<unsigned int>& a, const vector<unsigned int>& b,
  33.                                     unsigned int shift_b = 0);
  34.     static vector<unsigned int> mul(const vector<unsigned int>& a, unsigned int b);
  35.  
  36.  
  37. };
  38.  
  39. vector<unsigned int> tooLong::sum(const vector<unsigned int>& a, const vector<unsigned int>& b,
  40.                                   unsigned int shift_b)
  41. {
  42.     size_t sz = max(a.size(),b.size()+shift_b);
  43.     vector<unsigned int> r(sz);
  44.     unsigned int c = 0;
  45.     for(unsigned int i = 0; i < sz; ++i)
  46.     {
  47.         r[i] = (i < a.size() ? a[i] : 0) +
  48.             (i < shift_b ? 0 : i < b.size()+shift_b ? b[i-shift_b] : 0)
  49.             + c;
  50.         c = r[i] / tooLong::magic;
  51.         r[i] %= tooLong::magic;
  52.     }
  53.     if (c) r.push_back(c);
  54.     return r;
  55. }
  56.  
  57. vector<unsigned int> tooLong::mul(const vector<unsigned int>& a, unsigned int b)
  58. {
  59.     vector<unsigned int> r;
  60.     ullong c = 0;
  61.     for(int i = 0; i < a.size(); ++i)
  62.     {
  63.         ullong s = ullong(a[i]) * ullong(b) + c;
  64.         c = s / magic;
  65.         s %= magic;
  66.         r.push_back((unsigned int)s);
  67.     }
  68.     while(c)
  69.     {
  70.         r.push_back(c % magic);
  71.         c /= magic;
  72.     }
  73.     return r;
  74. }
  75.  
  76.  
  77. tooLong operator *(const tooLong& aa, const tooLong& bb)
  78. {
  79.     vector<unsigned int> r;
  80.     const vector<unsigned int>& a = (aa.a.size() > bb.a.size()) ? bb.a : aa.a;
  81.     const vector<unsigned int>& b = (aa.a.size() > bb.a.size()) ? aa.a : bb.a;
  82.  
  83.     for(int i = 0; i < a.size(); ++i)
  84.     {
  85.         vector<unsigned int> s = tooLong::mul(b,a[i]);
  86.         r = tooLong::sum(r,s,i);
  87.     }
  88.     tooLong res;
  89.     res.a = r;
  90.     return res;
  91. }
  92.  
  93. ostream& operator <<(ostream&os, const tooLong& a)
  94. {
  95.     os << a.a[a.a.size()-1];
  96.     os << setfill('0');
  97.     for(int i = (int)a.a.size()-2; i >= 0; --i)
  98.          os << setw(tooLong::digs) << a.a[i];
  99.     return os;
  100. }
  101.  
  102.  
  103. tooLong F(int N)
  104. {
  105.     static tooLong L[21] = {0};
  106.     if ( !L[N] ) return L[N];
  107.     tooLong R = 1;
  108.     if (N == 1) return R;
  109.     for(int m = 1; m < N; ++m)
  110.         R = R*F(m);
  111.     L[N] = R*N;
  112.     return L[N];
  113. }
  114.  
  115. int main()
  116. {
  117.     //for(int N = 1; N <= 20; ++N)
  118.     //    cout << F(N) << "\n";
  119.     int N;
  120.     cin >> N;
  121.     //N = 20;
  122.     cout << F(N);
  123. }
  124.  
Success #stdin #stdout 0.19s 4252KB
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https://ideone.com/iWM549
language:
C++14 (gcc 8.3)
created:
5 years ago
visibility:
public

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