We should characterize a capacity f(x) (x is a positive integer) as follows: compose all digits of the decimal portrayal of x in reverse, then, at that point, dispose of the main zeroes. For instance, f(321)=123, f(120)=21, f(1000000)=1, f(111)=111.    We should characterize another capacity g(x)=xf(f(x)) (x is

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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We should characterize a capacity f(x) (x is a positive integer) as follows: compose all digits of the decimal portrayal of x in reverse, then, at that point, dispose of the main zeroes. For instance, f(321)=123, f(120)=21, f(1000000)=1, f(111)=111. 

 

We should characterize another capacity g(x)=xf(f(x)) (x is a positive integer also). 

 

Your assignment is the accompanying: for the given positive integer n, work out the number of various upsides of g(x) among all numbers x with the end goal that 1≤x≤n. 

 

Input 

 

The primary line contains one integer t (1≤t≤100) — the number of experiments. 

 

Each experiment comprises of one line containing one integer n (1≤n<10100). This integer is given without driving zeroes. 

 

Output 

 

For each experiment, print one integer — the number of various upsides of the capacity g(x), if x can be any integer from [1,n].

 

 

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