Write a small game in Python: The user thinks of a natural number from 1 to 1000. The computer tries to guess this number with no more than 15 questions of the form "Is your number less than x'. Your program must always succeed in finding the number with <=15 questions, if the user answers all questions honestly.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Must Answer both the problems else downvote
Problem 1
Write a small game in Python: The user thinks of a
natural number from 1 to 1000. The computer tries
to guess this number with no more than 15
questions of the form "Is your number less than x".
Your program must always succeed in finding the
number with <=15 questions, if the user answers all
questions honestly.
Problem 2 T
Write a Python function sum_of_4th_powers,
which accepts one argument. You can assume that
the function is only called with an integernas
argument, i.e., no need to worry about invalid
inputs. If the argument n can be written as a sum
n=a4+b4+c4 with all of a,b,c being non-zero, your
function should return such a decomposition.
Otherwise your function must return False.
Example: sum_of_4th_powers(5) must return False,
sum of 4th_powers(18) could return (1,1,2).
Transcribed Image Text:Problem 1 Write a small game in Python: The user thinks of a natural number from 1 to 1000. The computer tries to guess this number with no more than 15 questions of the form "Is your number less than x". Your program must always succeed in finding the number with <=15 questions, if the user answers all questions honestly. Problem 2 T Write a Python function sum_of_4th_powers, which accepts one argument. You can assume that the function is only called with an integernas argument, i.e., no need to worry about invalid inputs. If the argument n can be written as a sum n=a4+b4+c4 with all of a,b,c being non-zero, your function should return such a decomposition. Otherwise your function must return False. Example: sum_of_4th_powers(5) must return False, sum of 4th_powers(18) could return (1,1,2).
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