You are given a string S containing only uppercase English letters. There are Q queries. Each query can be of two types:

• 1 i: Find the maximum size of the segment [b, e] where 0 ≤ b ≤ i ≤ e < |S| and substring S[b...e] contains only the letter S[i]. A Substring is a contiguous sequence of characters in a string.
• 2 i: Change the character in index i with the character ‘#’.

For both type of queries, S[i] will not contain the character ‘#’.The characters of the string are indexed from 0.

Input

The first line contains number of test cases T (1 ≤ T ≤ 15).

For each test cases, the first line contains the string S (1 ≤ |S| ≤ 200000). The 2^nd line contains number of queries Q (1 ≤ Q ≤ 100000). Each of the next Q lines contains one query in the format mentioned in the problem statement.

Output

For each test case, first print the test case number and output of every query of type 1 in a single line.

Sample

Input
2
AABBBCCCC
5
1 0
2 1
1 0
2 2
1 3
XXYYY
3
1 3
2 3
1 2

Output
Case 1:
2
1
2
Case 2:
3
1

Warning: The input file is huge, please use fast I/O.

Note: The dataset and time limit have been modified to fit SPOJ.