Equal Frequency of Characters

You are given a string s consisting of lowercase English letters. Your task is to determine if all the distinct characters in the string occur the same number of times. Formally, let \(d\) be the number of distinct characters and let \(f_i\) be the frequency of the \(i\)-th distinct character. The answer is True if \(f_1 = f_2 = \cdots = f_d\) and False otherwise.

Input Example: For the string "abacbc", the frequencies of characters a, b, and c are each 2, so the answer is True.

Note: The input is read from standard input (stdin) and the output is written to standard output (stdout).

inputFormat

The input consists of a single line containing a non-empty string s composed of lowercase English letters.

outputFormat

Output a single line with either True or False (without quotes) depending on whether all distinct characters in s appear the same number of times.

abacbc

True