Subsequence Count

Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 256000/256000 K (Java/Others)
Total Submission(s): 0    Accepted Submission(s): 0

Problem Description

Given a binary string S[1,...,N] (i.e. a sequence of 0's and 1's), and Q queries on the string.

There are two types of queries:

1. Flipping the bits (i.e., changing all 1 to 0 and 0 to 1) between l and r (inclusive).
2. Counting the number of distinct subsequences in the substring S[l,...,r].

 

Input

The first line contains an integer T, denoting the number of the test cases.

For each test, the first line contains two integers N and Q.

The second line contains the string S.

Then Q lines follow, each with three integers type,l and r, denoting the queries.

1≤T≤5

1≤N,Q≤105

S[i]∈{0,1},∀1≤i≤N

type∈{1,2}

1≤l≤r≤N

 

Output

For each query of type 2, output the answer mod (109+7) in one line.

 

Sample Input

24 410102 1 42 2 41 2 32 1 44 400001 1 21 2 31 3 42 1 4

 

Sample Output

116810