Problem: Ilya the Lion wants to help all his friends with passing exams. They need to solve the following problem to pass the IT exam.

You've got string s = s1s2... sn (n is the length of the string), consisting only of characters "." and "#" and m queries. Each query is described by a pair of integers li, ri (1 ≤ li < ri ≤ n). The answer to the query li, ri is the number of such integers i (li ≤ i < ri), that si = si + 1.

Ilya the Lion wants to help his friends but is there anyone to help him? Help Ilya, solve the problem.

Input

The first line contains string s of length n (2 ≤ n ≤ 105). It is guaranteed that the given string only consists of characters "." and "#".

The next line contains integer m (1 ≤ m ≤ 105) — the number of queries. Each of the next m lines contains the description of the corresponding query. The i-th line contains integers li, ri (1 ≤ li < ri ≤ n).

Output

Print m integers — the answers to the queries in the order in which they are given in the input.

Examples

Input

......
4
3 4
2 3
1 6
2 6


Output

1
1
5
4


Input

#..###
5
1 3
5 6
1 5
3 6
3 4


Output

1
1
2
2
0

Solution (in PYTHON3):

Solution:
import sys

dp = []

def build_rsq(s):
    a = 0
    dp.append(0)
    for x in range(len(s)-1):
        if (s[x] == s[x+1]):
            a = a+1
        dp.append(a)

def query_rsq(l, r):
    return dp[r-1] - dp[l-1]; 

s = sys.stdin.readline()
m = int(sys.stdin.readline())
build_rsq(s)
for _ in range(m):
    l, r = [ int(x) for x in sys.stdin.readline().split() ]
    print(query_rsq(l, r))