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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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13 correct solutions 4 incorrect solutions
Last solution submitted on Oct 27, 2014