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 collections import deque, defaultdict, Counter
from itertools import product, groupby, permutations, combinations, accumulate
from math import gcd, floor, inf, log2, sqrt, log10
from bisect import bisect_right, bisect_left
from statistics import mode
from string import ascii_uppercase

s = "x" + input() + "x"
ln = len(s)-1
pre = []
for i in range(ln):
    if s[i] == s[i+1]:
        pre.append(1)
    else:
        pre.append(0)
pre_sum = list(accumulate(pre))
# print(pre)
# print(pre_sum)

cases = int(input())
for _ in range(cases):
    l, r = map(int, input().split())
    l -=1
    r -= 1
    print(pre_sum[r] - pre_sum[l])