Problem: You are given a string S of length N consisting of `A`, `C`, `G` and `T`. Answer the following Q queries:

* Query i (1 \leq i \leq Q): You will be given integers l_i and r_i (1 \leq l_i < r_i \leq N). Consider the substring of S starting at index l_i and ending at index r_i (both inclusive). In this string, how many times does `AC` occurs as a substring?

Constraints

* 2 \leq N \leq 10^5
* 1 \leq Q \leq 10^5
* S is a string of length N.
* Each character in S is `A`, `C`, `G` or `T`.
* 1 \leq l_i < r_i \leq N

Input

Input is given from Standard Input in the following format:


N Q
S
l_1 r_1
:
l_Q r_Q


Output

Print Q lines. The i-th line should contain the answer to the i-th query.

Example

Input

8 3
ACACTACG
3 7
2 3
1 8


Output

2
0
3

Solution (in PYTHON):

Solution:
N, Q = map(int, raw_input().split())
string = raw_input()
cnt = [0]
for i in range(N):
#    print(i)
#    print(string[i-2:i])
#    if i == 0:
#        cnt.append(0)
#        continue
    if string[i-1:i+1] == 'AC':
        cnt.append(cnt[i]+1)
        continue
    cnt.append(cnt[i])

for j in range(Q):
    #print(j)
    pare = map(int, raw_input().split())
    print(cnt[pare[1]] - cnt[pare[0]])