Problem: Shil likes Round numbers very much . A  number is called Round number if its non-negative and its first and last digits are same. For example  0 , 3 , 343 and  50005 are round numbers whereas 1000 is not  a round number. Shil has  an array A1 , A2  .. AN . He wants to answer Q queries of following two type :
1 l r  : Find total number of round numbers in range [l, r]
2 i K  : Update i^th element of array A to K  i.e perform the  operation Ai = K. 
Since you are the friend of Shil , he asks for your help .

INPUT:
First line consists of two integers N and Q. Next line consists of N integers A1 , A2  .. AN. Next line consists of Q queries. Each query consists of three integers as mentioned in the problem.

OUTPUT: 
For each query of type 2 , output total number of round numbers in range [l,r].

CONSTRAINTS:
1 ≤ N , Q ≤ 2*10^5
-10^18 ≤ Ai ≤ 10^18 
1 ≤ l,r ≤ N
-10^18 ≤ K ≤ 10^18

SAMPLE INPUT
5 5 
1 2 33 456 111
1 1 2
1 1 5
2 1 6
2 2 1000
1 1 5

SAMPLE OUTPUT
2
4
3

Explanation

Out of all the initial numbers given in array A :- 1,2,33,111 are round numbers .
For 1^st query , there are two round numbers - A[1] and A[2].
For 2^st query , there are 4 round numbers - A[1] , A[2] , A[3] , A[5].
In   3^rd query , we are updating 1st position with 6 , which is a round number.
In   4^th query , we are updating 2nd position with 1000 , which isn't a round number.  
For 5^th query , there are 3 round numbers - A[1] , A[3] and  A[5].

Solution (in PYTHON):

Solution:
# Problem: https://www.hackerearth.com/code-monk-binary-indexed-tree/algorithm/shil-and-round-numbers/


def main():
    N, Q = map(int, raw_input().strip().split())
    numbers = map(int, raw_input().strip().split())
    size = (N << 1) + 2
    bin_idx_tree = [0] * size
    for (idx, num) in enumerate(numbers):
        update(bin_idx_tree, size, idx+1, num, 1)
    for __ in range(Q):
        code, x, y = map(int, raw_input().strip().split())
        if code == 1:
            print compute(bin_idx_tree, size, x, y)
        else:
            update(bin_idx_tree, size, x, numbers[x-1], -1)
            update(bin_idx_tree, size, x, y, 1)
            numbers[x-1] = y


def update(bin_idx_tree, size, idx, num, val):
    if not is_round(num):
        return
    while idx < size:
        bin_idx_tree[idx] += val
        idx += (idx & -idx)


def compute(bin_idx_tree, size, l, r):
    return compute_helper(bin_idx_tree, r) - compute_helper(bin_idx_tree, l-1)


def compute_helper(bin_idx_tree, idx):
    sum = 0
    while idx > 0:
        sum += bin_idx_tree[idx]
        idx -= (idx & -idx)
    return sum


def is_round(num):
    if num < 0:
        return False
    if num < 10:
        return True
    string_num = str(num)
    first_digit = string_num[0]
    last_digit = string_num[-1]
    return first_digit == last_digit


if __name__ == '__main__':
    main()