Not that Digit

Problem code: NSIT15

All submissions for this problem are available.

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


Comments

well... i just can't seem to

pankaj9900 @ 17 Oct 2010 11:27 PM

well... i just can't seem to figure out what's wrong with my prog...

it gives the correct output when i try on my system ( i checked using brute force ) but the system says my output is wrong :(

Admin, please have a look at it...

thanks...

can we label the tower with

sandy_singh @ 30 Oct 2011 03:39 PM
can we label the tower with label 0 ?????

no..

merlin @ 22 Nov 2011 10:07 PM
no..

ths problem shd be under the

raman92 @ 28 Jan 2012 05:05 PM
ths problem shd be under the easy label

@raman92-post your

nishant204 @ 30 Jan 2012 06:58 PM
@raman92-post your program.....want to see your time limit

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