Simplicity

For a string of letters, define the Simplicity of the string to be the number of distinct letters in the string. For example, the string string has simplicity $6$, and the string letter has simplicity $4$.

You like strings which have simplicity either $1$ or $2$. Your friend has given you a string and you want to turn it into a string that you like. You have a magic eraser which will delete one letter from any string. Compute the minimum number of letters you must erase in order to turn the string into a string with simplicity at most $2$.

Input

Each input will consist of a single test case. Note that your program may be run multiple times on different inputs. The input will consist of a line with a single string consisting of at least $1$ and at most $100$ lowercase letters ‘a’-‘z’.

Output

Output a single integer, indicating the minimum number letters you need to erase in order to give the string a simplicity of $1$ or $2$.

Sample Input 1 Sample Output 1
string
4
Sample Input 2 Sample Output 2
letter
2
Sample Input 3 Sample Output 3
aaaaaa
0
Sample Input 4 Sample Output 4
uncopyrightable
13
Sample Input 5 Sample Output 5
ambidextrously
12
Sample Input 6 Sample Output 6
assesses
1
Sample Input 7 Sample Output 7
assassins
2