Problem 49983. Number Puzzles - 003

Created by Doddy Kastanya

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Find six non-zero integers a, b, c, d, e, and f which satisfy the following equations:
All six integers must be different. The answer might not be unique; so, your answer will be evaluated against the requirement.

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54 Solutions
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Last Solution submitted on Aug 27, 2024

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8 Comments

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William on 28 Jan 2021

I believe my solution is correct, but it is failing the test.

Doddy Kastanya on 28 Jan 2021

I believe the test already reflects the problem statement. Please keep in mind that one of the requirement is for the six numbers to be unique.

William on 28 Jan 2021

Yes, my six numbers are unique. However, because this puzzle involves floating point ratios, there is an issue with rounding. The test for equality needs to include a tolerance.

Doddy Kastanya on 28 Jan 2021

The answers are integers. So, proper fractions are involved and they should be able to be simplified to satisfy the equality. I hope this helps.

William on 28 Jan 2021

I know that, but your second test is a test on the ratios of integers, and these are floating point numbers that may not be exactly equal. So you need to include a tolerance, or else express the condition in terms of integer quantities. Example: test for a*d*f = c*b*f - e*b*d.

William on 30 Jan 2021

A word to the wise: So far I have found 5 correct solutions to this problem, but they all fail the second assertion because of the way it is written. If the assertion were written as assert(y(1)*y(4)*y(6) == y(3)*y(2)*y*6) -y(5)*y(2)*y(4)), then they would all pass, but until that change is made, most correct solutions will fail. An alternative is to put a tolerance in the second assertion as it is now written.

goc3 on 2 Feb 2021

A tolerance has been added to the test suite.

goc3 on 24 Aug 2021

The test for unique integers has been improved to accept both row and column vectors for y. Also, the description now specifies that the integers must all be different (as that was being tested anyway).

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Problem 49983. Number Puzzles - 003

Solution Stats

Last 200 Solutions

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Solution Comments

Problem Recent Solvers27

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Problem 49983. Number Puzzles - 003

Solution Stats

Last 200 Solutions

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Solution Comments

Problem Recent Solvers27

Suggested Problems

More from this Author180

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