Problem 51565. Convert a number from base 10 to factorial notation

Created by ChrisR

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 114px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 57px; transform-origin: 407px 57px; vertical-align: baseline; "><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/51560-convert-a-number-from-factorial-notation-to-base-10"><span style=""><span style="">Cody Problem 51560</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 318.25px 7.91667px; transform-origin: 318.25px 7.91667px; unicode-bidi: normal; "><span style=""> asks you to convert a number from factorial notation to base 10. This problem is the companion: Write a function to convert a number from base 10 to factorial notation with a tolerance </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.85px 7.91667px; transform-origin: 3.85px 7.91667px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; ">p</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.775px 7.91667px; transform-origin: 49.775px 7.91667px; unicode-bidi: normal; "><span style=""> that defaults to </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" alt="10^{-4}" style="width: 30px; height: 19.5px;" width="30" height="19.5"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5583px 7.91667px; transform-origin: 50.5583px 7.91667px; unicode-bidi: normal; "><span style=""> if not specified. </span></span></div><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 361.758px 7.91667px; transform-origin: 361.758px 7.91667px; unicode-bidi: normal; "><span style="">Given 463, your function should return the character string ‘34101’, and given 23/24 (and the default tolerance), your function should return ‘0.123’. As in the previous problem, use A, B, C, etc. for digits greater than 9, and take the first place after the decimal point to be the 1/2! place.</span></span></div></div></div>

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51 Solutions
6 Solvers

Last Solution submitted on May 10, 2022

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3 Comments

3 Comments

Nikolaos Nikolaou on 26 Apr 2021

is it me or there are issues with the tolerance?

ChrisR on 26 Apr 2021

Nikolaos, what problems did you encounter?

goc3 on 10 May 2022 at 22:31

This, and its companion problem, are a great challenge. Well done.

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dudley 13.19 expansion factorial number theory

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Problem 51565. Convert a number from base 10 to factorial notation

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Problem 51565. Convert a number from base 10 to factorial notation

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Problem Recent Solvers6

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