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                       Темы: 
                                Binary search by answer                                                                                                                                                                                   
                            
                                "Long" arithmetic                                                                                                                                                                                         
                            
                 Given an increasing sequence of integers 1, 2, 4, 5, 7, 9, 10, 12, 14, 16, 17, ... It is formed as follows: one odd number is taken, then two even ones, then three odd ones, and so on . Output the N-th element of this sequence. 
 
Input 
One integer N (1 ≤ N ≤ 10100). 
 
Imprint 
Print one integer - the N-th element of the sequence.
 Examples
| # | 
Input | 
Output | 
 
| 1 | 
1 | 
1 | 
 
| 2 | 
4 | 
5 | 
 
 
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