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Problem 629. Cubic Integer Constrained Solution

Created by Richard Zapor

Find an integral non-trivial solution (x,y,z ~=0) (x=0 or y=0 or z=0 are trivial) for the cubic equation

 987,654,321x + 123,456,789y + z = (x+y+z)^3.

Provide solution with minimum Positive value of (x+y+z). The solution does not require x,y,or z to be positive.

Question courtesy of The Contest Center

One method: meshgrid

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Solution Statistics

15 correct solutions 6 incorrect solutions
Last solution submitted on May 05, 2015