Not that Digit

Problem code: NSIT15

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Majin wants to label his N (1 <= N <= 1,000,000) towers. He has lost the labels with the digit L (0 <= L <= 9) written on them. Assume he has sufficient labels to complete the task.

If the towers are labeled with the smallest set of N positive integers that don't have the digit L, what is the largest number that Majin will label the tower as ?

Input

The first line has an integer 't' (1<=t<=10), the number of test cases. t cases follow.

Each test case containse two space-separated integers on a single line: N and L

Output

A single integer that is the largest number a tower can have.

Example

Input:
1
10 0

Output:
11

Explanation

The smallest 10 numbers he can use are: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 11.

Author:	admin
Date Added:	8-10-2009
Time Limit:	3 sec
Source Limit:	50000 Bytes
Languages:	ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC

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Comments

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Life is so funny... and so is

manee @ 10 Oct 2009 10:27 PM

Life is so funny... and so is codechef....

I was just not putting "n" after output...and was getting wrong answer from 5 hours!!!!

lol....

where to submit sol.

vijay_kansal @ 27 Oct 2009 10:57 PM

where to submit sol.

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Not that Digit

Input

Output

Example

Comments

Life is so funny... and so is

where to submit sol.

SUCCESSFUL SUBMISSIONS FOR THIS PROBLEM: