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Required fields*

Rev

Required fields*

Find the number in the Champernowne constant

Introduction

In base 10, the Champernowne constant is defined by concatenating representations of successive integers. In base 10: 0.1234567891011121314151617... and so on.

You can see that the first appearence of 15 starts at the 20th decimal:

 Position
 0000000001111111111222222222233333333334444444444555555555566666666
 1234567890123456789012345678901234567890123456789012345678901234567
 ^
0.1234567891011121314151617181920212223242526272829303132333435363738...
 ^^
 15 = position 20

The first appearence of 45 starts at the 4th decimal:

 Position
 0000000001111111111222222222233333333334444444444555555555566666666
 1234567890123456789012345678901234567890123456789012345678901234567
 ^ 
0.1234567891011121314151617181920212223242526272829303132333435363738...
 ^^
 45 = position 4

So, the task is easy. Given a non-negative integer, output the position of the integer in the Champernowne constant.

Rules

You may provide a function or a program
This is code-golf, so the submission with the least amount of bytes wins!

Test cases

Input: 20
Output: 30
Input: 333
Output: 56
Input: 0
Output: 11 (note that the 0 before the decimal point is ignored)
Input: 2930
Output: 48

Answer*

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More generally…

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\$\begingroup\$ Why does your "How it works" section contains a q in the code and not the logical negation symbol ¬? \$\endgroup\$

Fatalize
– Fatalize

2015年12月18日 10:38:39 +00:00
Commented Dec 18, 2015 at 10:38
\$\begingroup\$ @Fatalize ¬ is a shortcut for q (that's q with a following space). This seems to often be a point of confusion, so I've lined up the shorter version with the full one. \$\endgroup\$

ETHproductions
– ETHproductions

2015年12月18日 15:32:10 +00:00
Commented Dec 18, 2015 at 15:32

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