def counting_serien (n) The Champernowne word 1234567891011121314151617181920212223. is an infinitely long string of digits made up of all positive integers written in ascending order without any separators between the individual numbers. This function should return the integer digit that lies in the position a of the Champernowne word, position count again starting from zero as usual. Of course, the automated tester will give your function values of a large enough that anybody trying to solve this problem by explicitly constructing the series as a string would run out of time and space long before receiving the answer. Instead, you should observe that the structure of this infinite sequence is quite straightforward, as it starts with 9 single-digit numbers, followed by 90 two-digit numbers, followed by 900 three-digit numbers, and so on. Such a predictably self-similar structure allows you to skip over prefixes of this series in exponentially widening leaps and bounds, until you reach the position a and find out the digit that is waiting for you there. Expected result 1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Up for the count
def counting serien (n)
The Champernowne word 1234567891011121314151617181920212223. is an infinitely long
string of digits made up of all positivre integers written in ascending order without any separators
between the individual numbers. This function should return the integer digit that lies in the
position n of the Champernowne word, position count again starting from zero as usual.
Of course, the automated tester will give your function values of a large enough that anybody trying
to solve this problem by explicitly constructing the series as a string would run out of time and
space long before receiving the answer. Instead, you should observe that the structure of this
infinite sequence is quite straightforward, as it starts with 9 single-digit numbers, followed by 90
two-digit numbers, followed by 900 three-digit numbers, and so on. Such a predictably self-similar
structure allows you to skip over prefixes of this series in exponentially widening leaps and bounds,
until you reach the position n and find out the digit that is waiting for you there.
Expected result
1
100
5
10000
10.*100
6.
Transcribed Image Text:Up for the count def counting serien (n) The Champernowne word 1234567891011121314151617181920212223. is an infinitely long string of digits made up of all positivre integers written in ascending order without any separators between the individual numbers. This function should return the integer digit that lies in the position n of the Champernowne word, position count again starting from zero as usual. Of course, the automated tester will give your function values of a large enough that anybody trying to solve this problem by explicitly constructing the series as a string would run out of time and space long before receiving the answer. Instead, you should observe that the structure of this infinite sequence is quite straightforward, as it starts with 9 single-digit numbers, followed by 90 two-digit numbers, followed by 900 three-digit numbers, and so on. Such a predictably self-similar structure allows you to skip over prefixes of this series in exponentially widening leaps and bounds, until you reach the position n and find out the digit that is waiting for you there. Expected result 1 100 5 10000 10.*100 6.
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