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 ith 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*105
-1018 ≤ Ai ≤ 1018
1 ≤ l,r ≤ N
-1018 ≤ K ≤ 1018
Out of all the initial numbers given in array A :- 1,2,33,111 are round numbers .
For 1st query , there are two round numbers - A[1] and A[2].
For 2st query , there are 4 round numbers - A[1] , A[2] , A[3] , A[5].
In 3rd query , we are updating 1st position with 6 , which is a round number.
In 4th query , we are updating 2nd position with 1000 , which isn't a round number.
For 5th query , there are 3 round numbers - A[1] , A[3] and A[5].
