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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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1

\$\begingroup\$ -1 \$\endgroup\$

Razetime
– Razetime

2020年11月13日 16:24:14 +00:00
Commented Nov 13, 2020 at 16:24
1

\$\begingroup\$ @Razetime Knew how you did it before I clicked the link! \$\endgroup\$

Unrelated String
– Unrelated String

2020年11月13日 16:28:47 +00:00
Commented Nov 13, 2020 at 16:28

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