Create a regex to match a given range of integers in a given radix

Write a program/function that, given three integers n,a,b prints a regular expression which matches all of the base-n integers from a to b (and no integers outside of that range).

Your algorithm should, in theory, work for arbitrarily large integers. In practice, you may assume that the input can be stored in your data type. (don't abuse native data type, that's a standard loophole)

Input

Three integers, n, a, b where n is in the range 1-32. a and b may be taken as base-n string/character list/digit list.

Output

A single string, represent the regex.

Rules

• Base-n integers use the first n digits of 0123456789ABCDEFGHIJKLMNOPQRSTUV, you can choose to use upper-case or lower-case.
• a and b may be negative, denoted by a - in front of the integer
• You may assume a ≤ b.
• Any regex flavor is allowed.
• The behavior of the regex on strings not a base-n integer is undefined.

Winning criteria

Answers will be scored by the length of the code in bytes. (so rules apply)

• Should we be able to match integers inside other text, or are we guaranteed they will be on their own? – Erik the Outgolfer Dec 18 '17 at 16:49
• Also, should we be able to match negative integers too? If so, how will the sign be represented? – Erik the Outgolfer Dec 18 '17 at 16:51
• Yes it should be able to match negative integers. Looks like that got edited out of the question. – Josh Withee Dec 18 '17 at 17:06
• You can assume the integer will be on its own – Josh Withee Dec 18 '17 at 17:07
• So, are negative integers represented with a - in the front or something else? – Erik the Outgolfer Dec 18 '17 at 17:10

05AB1E, 17 bytes

ŸεD0‹'-×sÄIB«}'|ý


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For some reason I don't seem to be able to replace I with ³.

Jelly, 24 bytes

ƓØBḣḊ;0
rµṠṾṖ\$€ż⁸Aṃ¢¤j”|


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Take 2 input from command line argument as decimal number, and base from stdin.

• Looks like this doesn't work for negative numbers. – Erik the Outgolfer Dec 18 '17 at 19:19
• @EriktheOutgolfer Fixed. – user202729 Dec 19 '17 at 1:21

Python 2, 157 bytes

n,a,b=input();s=o=''
for i in range(a,b+1):
if i<0:i=abs(i);s='-'
if i==0:o='0'+o
while i:i,r=i/n,i%n;o=[r,chr(55+r)][r>9]+o
o='|'+s+o;s=''
print o[1:]


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