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:
from sys import stdin, stdout

DP = []
def build_rsq(a):
    for i in range(1, len(line)): 
        if a[i] == a[i-1]: DP[i + 1] = DP[i] + 1
        else: DP[i+1] = DP[i]

for line in stdin:
    if line == '' or line == '\n': break
    line = [1 if x == '.' else 0 for x in list(line.strip())]
    DP = [0] * (len(line) + 1)
    build_rsq(line)

    qq = int(stdin.readline())
    for i in range(qq):
        qRange = [int(x) for x in stdin.readline().strip().split(' ')]
        stdout.write(str(DP[qRange[1]] - DP[qRange[0]]) + '\n')