AT_past202309_e 10 の n 乗

Description

Given a positive integer $ X $ , find the minimum non-negative integer $ n $ such that $ X\leq 10^n $ .

Input Format

The input is given from Standard Input in the following format: > $ X $

Output Format

Print the minimum non-negative integer $ n $ such that $ X\leq 10^n $ .

Explanation/Hint

### Sample Explanation 1 $ 23>1=10^0 $ , $ 23>10=10^1 $ , and $ 23\leq 100=10^2 $ , so $ 2 $ should be printed. ### Sample Explanation 2 $ 1\leq 10^0 $ , so $ 0 $ should be printed. ### Constraints - $ 1\leq X\leq 10^{100000} $ - $ X $ is an integer.