benyeh

PE49

Mar 15th, 2013
70
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  1. #include <iostream>
  2. #include <fstream>
  3. #include <string>
  4. #include <sstream>
  5. #include <vector>
  6. #include <algorithm>
  7.  
  8. #include "time.h"
  9. using namespace std;
  10.  
  11. bool isPerm(int, int);
  12.  
  13. int main() {
  14.     clock_t t1, t2;
  15.  
  16.     int temp, i, j, diff;
  17.     vector<int> primes;
  18.     ifstream inputFile("primes.txt");
  19.     while(inputFile >> temp)
  20.     {
  21.         if(temp!=1487 && temp != 4817 && temp!=8147)
  22.             primes.push_back(temp);
  23.     }
  24.  
  25.     t1 = clock();
  26.  
  27.     for(i = 0; i < primes.size(); i++){
  28.         for(j = i+1; j < primes.size(); j++){ // loop through primes
  29.             if(isPerm(primes[i], primes[j])) // see if they are permutations
  30.             {
  31.                 diff = primes[j]-primes[i];           // see if the next term in the sequence
  32.                 if(isPerm(primes[j], primes[j]+diff)) // is also a permutation
  33.                     if(find(primes.begin(), primes.end(), primes[j]+diff) != primes.end()){ // see if number is a prime
  34.                         cout << primes[i] << primes[j] << primes[j]+diff << endl;
  35.                         t2 = clock();
  36.                         float seconds = ((float)t2-(float)t1)/CLOCKS_PER_SEC;
  37.                         cout << seconds << "s" << endl;
  38.                         return 0;
  39.                     }
  40.             }
  41.         }
  42.     }
  43.     return 0;
  44. }
  45.  
  46. bool isPerm(int a, int b)
  47. {
  48.     stringstream as,bs;
  49.     string astr, bstr;
  50.     as << a;
  51.     bs << b;
  52.     astr = as.str();
  53.     bstr = bs.str();
  54.     sort(astr.begin(), astr.end());
  55.     sort(bstr.begin(), bstr.end());
  56.     return astr==bstr;
  57. }
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