Art of Balance
All submissions for this problem are available.### Read problem statements in [Hindi](http://www.codechef.com/download/translated/FEB19TST/hindi/ARTBALAN.pdf), [Bengali](http://www.codechef.com/download/translated/FEB19TST/bengali/ARTBALAN.pdf), [Mandarin Chinese](http://www.codechef.com/download/translated/FEB19TST/mandarin/ARTBALAN.pdf), [Russian](http://www.codechef.com/download/translated/FEB19TST/russian/ARTBALAN.pdf), and [Vietnamese](http://www.codechef.com/download/translated/FEB19TST/vietnamese/ARTBALAN...) as well. "Everything in the universe is balanced. Every disappointment you face in life will be balanced by something good for you! Keep going, never give up." Let's call a string *balanced* if all characters that occur in this string occur in it the same number of times. You are given a string $S$; this string may only contain uppercase English letters. You may perform the following operation any number of times (including zero): choose one letter in $S$ and replace it by another uppercase English letter. Note that even if the replaced letter occurs in $S$ multiple times, only the chosen occurrence of this letter is replaced. Find the minimum number of operations required to convert the given string to a balanced string. ### Input - The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows. - The first and only line of each test case contains a single string $S$. ### Output For each test case, print a single line containing one integer ― the minimum number of operations. ### Constraints - $1 \le T \le 10,000$ - $1 \le |S| \le 1,000,000$ - the sum of $|S|$ over all test cases does not exceed $5,000,000$ - $S$ contains only uppercase English letters ### Subtasks **Subtask #1 (20 points):** - $T \le 10$ - $|S| \le 18$ **Subtask #2 (80 points):** original constraints ### Example Input ``` 2 ABCB BBC ``` ### Example Output ``` 1 1 ``` ### Explanation **Example case 1:** We can change 'C' to 'A'. The resulting string is "ABAB", which is a balanced string, since the number of occurrences of 'A' is equal to the number of occurrences of 'B'. **Example case 2:** We can change 'C' to 'B' to make the string "BBB", which is a balanced string.
|Tags||easy, feb19, greedy, math, prnjl_rai|
|Time Limit:||1 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.6, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, rust, SCALA, swift, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, kotlin, PERL6, TEXT, SCM chicken, PYP3, CLOJ, COB, FS|
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