Problem 449. Grandpa's telescope

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Two grandkids Dorothy and Benjamin are sharing a telescope made by their grandpa, who used an old lens of spectacles as the objective. This objective lens has power of p diopter. Dorothy definitively watches a doghouse at distance d meters. Benjamin basically watches a birdhouse at distance b meters. After watching the doghouse, how much shift of the eyepiece in mm is necessary to watch the birdhouse? Please give a general solution, the test suite may be more extensive later.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<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: 105px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 52.5px; transform-origin: 407px 52.5px; vertical-align: baseline; "><div style="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 52.5px; text-align: left; transform-origin: 384px 52.5px; 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: 383.5px 8px; transform-origin: 383.5px 8px; unicode-bidi: normal; "><span style="">Two grandkids Dorothy and Benjamin are sharing a telescope made by their grandpa, who used an old lens of spectacles as the objective. This objective lens has power of p diopter. Dorothy definitively watches a doghouse at distance d meters. Benjamin basically watches a birdhouse at distance b meters. After watching the doghouse, how much shift of the eyepiece in mm is necessary to watch the birdhouse? Please give a general solution, the test suite may be more extensive later.</span></span></div></div></div>

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137 Solutions
21 Solvers

Last Solution submitted on Jan 06, 2023

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3 Comments

Christian Schröder on 6 Jan 2023 at 20:14

This could really benefit from a few more test cases.

Dyuman Joshi on 7 Jan 2023 at 6:16

Test cases have been added and solutions are rescored.

Christian Schröder on 7 Jan 2023 at 9:57

Thanks, Dyuman!

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Problem 449. Grandpa's telescope

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Problem 449. Grandpa's telescope

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