Let f be a function that takes some natural number n, and adds the value that n takes when its digits are reversed. For example, for n = 178 we have: f(178) = 178 +871 = 1049 If we keep iterating this value, we get: f(1049) = 1049 + 9401 = 10450 f(10450) = 10450 + 05401 = 15851 Notice that for the starting valuen= 178, we eventually got a palindromic number 15851 (i.e. a value that reads the same backward as forwards). Write a function lychrel (n) that accepts any natural number n, and returns a list of iterates [n, f (n),...] of n under the function f that only terminates as soon as it reaches a palindromic value.

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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Let f be a function that takes some natural number n, and adds the value that n takes when its digits are reversed. For example, for
n = 178 we have:
f(178) = 178 +871 = 1049
If we keep iterating this value, we get:
f(1049) = 1049 + 9401 = 10450
f(10450) = 10450 + 05401 = 15851
Notice that for the starting value n = 178, we eventually got a palindromic number 15851 (i.e. a value that reads the same backward as
forwards).
Write a function lychrel (n) that accepts any natural number n, and returns a list of iterates [n, f(n),...] of n under the function f that
only terminates as soon as it reaches a palindromic value.
Transcribed Image Text:Let f be a function that takes some natural number n, and adds the value that n takes when its digits are reversed. For example, for n = 178 we have: f(178) = 178 +871 = 1049 If we keep iterating this value, we get: f(1049) = 1049 + 9401 = 10450 f(10450) = 10450 + 05401 = 15851 Notice that for the starting value n = 178, we eventually got a palindromic number 15851 (i.e. a value that reads the same backward as forwards). Write a function lychrel (n) that accepts any natural number n, and returns a list of iterates [n, f(n),...] of n under the function f that only terminates as soon as it reaches a palindromic value.
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