How many digits?

Write a program that computes the number of digits in several bases.

Input

Input consists of a sequence of pairs of natural numbers $b$ and $n$, such that $b\ge 2$ and $n\ge 1$.

Output

For every pair, print the number of digits of $n$ in base $b$.

Problem information

Author: Unknown
Translator: Maria Serna

Generation: 2026-01-25T13:25:46.056Z

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