Problem 44319. Write c^3 as sum of two squares a^2+b^2

Created by Mehmet OZC

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Last Solution submitted on Oct 20, 2020

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Stephen Cook on 16 Oct 2017

Last test case is wrong. Does not catch 500^3 == 1160^2 + 11120^2 and 500^3 == 2000^2 + 11000^2 .

James on 17 Oct 2017

First case is also wrong: 1^3 = 1^2 + 0^2. The problem doesn't specify positive numbers, so it is a valid solution. (If you *really* want to open a can of worms, a and b don't have to be integers, or even real numbers according to the test suite!)

Mehmet OZC on 18 Oct 2017

You are right James. I have add some sentences to problem definition.

Payam Morsali 19 hours and 57 minutes ago

How on earth the leading solution size is 7? can you please provide it also for us ?

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Solution 1289343

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2 Comments

T. Dunker on 16 Oct 2017

Test 12: There are two solutions missing [1160 11120; 2000 11000].

Mehmet OZC on 16 Oct 2017

Thanks T. Dunker, I have corrected the mistake

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Problem 44319. Write c^3 as sum of two squares a^2+b^2

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Problem 44319. Write c^3 as sum of two squares a^2+b^2

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