lorcheiro

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Apr 8th, 2020
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  1. #include<iostream>
  2. #include<vector>
  3. #include<math.h>
  4.  
  5. using namespace std;
  6.  
  7. bool isPerfectSquare(int x)
  8. {
  9.     int s = sqrt(x);
  10.     return (s * s == x);
  11. }
  12.  
  13. bool isFibonacci(int n)
  14. {
  15.  
  16.     return isPerfectSquare(5 * n * n + 4) ||
  17.            isPerfectSquare(5 * n * n - 4);
  18. }
  19.  
  20. vector <int> relleno (vector <int> v, int i){
  21.     v[i] = v[i - 1] + v[i - 2];
  22.     i++;
  23.     if(i < v.size()) return relleno(v, i);
  24.     else return v;
  25. }
  26.  
  27. void casos(vector <bool> v, int i, vector <int> fibonacci){
  28.     bool completo = false;
  29.     int k = i;
  30.       for(int j = 0; j < 25; j++){
  31.           if(fibonacci[j] == k || v[i - k]){ v[i] = false; completo = true;}
  32.           else k--;
  33.       }
  34.       if(!completo) v[i] = true;
  35.     if (v.size() < pow(10, 5)) casos(v, i++, fibonacci);
  36.     else return;
  37. }
  38.  
  39.  
  40. int main(){
  41.     vector <bool> guanya1 (pow(10, 5));
  42.     int n;
  43.     vector <int> fibonacci (25);
  44.     fibonacci[0] = 1;
  45.     fibonacci[1] = 1;
  46.     relleno(fibonacci, 2);
  47.     guanya1[0] = false;
  48.     guanya1[1] = true;
  49.     casos(guanya1, 2, fibonacci);
  50.     while(cin >> n){
  51.       if (isFibonacci(n)) cout << 1 << endl;
  52.       else if(guanya1[n]) cout << 1 << endl;
  53.       else cout << 2 << endl;
  54.     }
  55. }
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