Stepping Numbers

Problem code: STEPNUMS

All submissions for this problem are available.

Call a number stepping if adjacent digits, as well as the first and last digits, differ by one. How many n-digit base 11 stepping numbers are there? Give your answer modulo 4294967143.

For example, 8789A9 is a 6-digit base 11 stepping number. 9A0A and 234 are not stepping.

Input

The first line contains an integer T, the number of test cases (about 20000). Each of the next T lines contains an integer n (2 <= n < 264).

Output

Output the answer to each test case on a separate line.

Example

Input:
4
2
4
6
10

Output:
19
54
171
1958

Author: MichaelD
Date Added: 4-07-2010
Time Limit: 1 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, ERL, 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

Is the provided example

codeprutser @ 28 Aug 2010 08:10 AM

Is the provided example output correct?

do you want us to print the

navee1292 @ 29 Nov 2010 05:42 PM

do you want us to print the output in base 11 form?

even thats not correct.. feel

navee1292 @ 29 Nov 2010 05:49 PM

even thats not correct..

feel like that output is wrong.

Your output should be in base

triplem @ 30 Nov 2010 01:29 AM

Your output should be in base 10, and the output is correct.

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