Problem 449. Grandpa's telescope

Created by AMITAVA BISWAS

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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.

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Last Solution submitted on Dec 12, 2025

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Christian Schröder on 6 Jan 2023

This could really benefit from a few more test cases.

Dyuman Joshi on 7 Jan 2023

Test cases have been added and solutions are rescored.

Christian Schröder on 7 Jan 2023

Thanks, Dyuman!

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Problem 449. Grandpa's telescope

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Last 200 Solutions

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Problem 449. Grandpa's telescope

Solution Stats

Last 200 Solutions

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Solution Comments

Problem Recent Solvers26

Suggested Problems

More from this Author99

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