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F. Substrings in a String
time limit per test
6 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Given a string s, process q queries, each having one of the following forms:

• 1 ic — Change the i-th character in the string to c.
• 2 lry — Consider the substring of s starting at position l and ending at position r. Output the number of times y occurs as a substring in it.
Input

The first line of the input contains the string s (1 ≤ |s| ≤ 105) of lowercase English letters.

The second line contains an integer q (1 ≤ q ≤ 105)  — the number of queries to process.

The next q lines describe the queries and may have one of the following forms:

• 1 ic (1 ≤ i ≤ |s|)
• 2 lry (1 ≤ l ≤ r ≤ |s|)

c is a lowercase English letter and y is a non-empty string consisting of only lowercase English letters.

The sum of |y| over all queries of second type is at most 105.

It is guaranteed that there is at least one query of second type.

All strings are 1-indexed.

|s| is the length of the string s.

Output

For each query of type 2, output the required answer in a separate line.

Examples
Input
ababababa32 1 7 aba1 5 c2 1 7 aba
Output
31
Input
abcdcbc52 1 7 bc1 4 b2 4 7 bc1 2 a2 1 4 aa
Output
221
Note

Consider the first sample case. Initially, the string aba occurs 3 times in the range [1, 7]. Note that two occurrences may overlap.

After the update, the string becomes ababcbaba and now aba occurs only once in the range [1, 7].