Lweb and String

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 65536/65536 K (Java/Others)

Description

Lweb has a string $S$.

Oneday, he decided to transform this string to a new sequence.

You need help him determine this transformation to get a sequence which has the longest LIS(Strictly Increasing).

You need transform every letter in this string to a new number.

$A$ is the set of letters of $S$, $B$ is the set of natural numbers.

Every injection $f: A \rightarrow B$ can be treat as an legal transformation.

For example, a String “aabc”, $A = \{ a,b,c \}$, and you can transform it to “1 1 2 3”, and the LIS of the new sequence is 3.

Now help Lweb, find the longest LIS which you can obtain from $S$.

LIS: Longest Increasing Subsequence. (https://en.wikipedia.org/wiki/Longest_increasing_subsequence)

Input

The first line of the input contains the only integer $T, (1 \leq T \leq 20)$.

Then $T$ lines follow, the i-th line contains a string $S$ only containing the lowercase letters, the length of $S$ will not exceed $10^5$.

Output

For each test case, output a single line "Case #x: y", where x is the case number, starting from 1. And y is the answer.

Sample Input

2 aabcc acdeaa

Sample Output

Case #1: 3 Case #2: 4

Hint

wange2014

Source

2016中国大学生程序设计竞赛 - 网络选拔赛

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