You are given a positive (more noteworthy than nothing) integer n.    You need to address n as the amount of integers (conceivably negative) comprising just of ones (digits '1'). For instance, 24=11+11+1+1 and 102=111−11+1+1.    Among every conceivable portrayal, you need to track down the one that utilizes the base

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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 You are given a positive (more noteworthy than nothing) integer n. 

 

You need to address n as the amount of integers (conceivably negative) comprising just of ones (digits '1'). For instance, 24=11+11+1+1 and 102=111−11+1+1. 

 

Among every conceivable portrayal, you need to track down the one that utilizes the base number of ones altogether. 

 

Input 

 

The single line contains one integer n (1≤n<1050). 

 

Output 

 

Print one integer x — the base number of ones, to such an extent that there exist a portrayal of n as the amount of integers (perhaps bad) that utilizes x ones altogether.

 

 

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