Ax+By+....Cw+Ez=F Coefficients of the diophant equation and the free term (through space)
 Original diophant equation A private solution to this equation

Returning to earlier written articles, on the diophantine equations some reconsideration written came, and it is ready to present fast search of a frequent solution of any complexity (with many variables) the linear diophantine equation.

The solution differs a little from the fact that it is possible to find in network.

Descriptive part of an algorithm will be a bit later when I am able to display the common decision, and not just private.

That it would be desirable to tell:

You should not check correctness of the calculator with check of a solution of the equation with two unknown. For this purpose there is other calculator, and this calculator is intended for a solution with many variables (three, ten, twenty etc.)

Now several examples

 Original diophant equation $(71)*x_{7}+(8)*x_{6}+(369)*x_{5}+(-11)*x_{4}+(76)*x_{3}+(39)*x_{2}+ (-501)*x_{1} = 5612$ A private solution to this equation $x_{7}=7\\x_{6}=-62\\x_{5}=0\\x_{4}=-2\\x_{3}=0\\x_{2}=2\\x_{1}=-11\\$
 Original diophant equation $(-5001)*x_{9}+(170011)*x_{8}+(-76546)*x_{7}+(187)*x_{6}+(15446)*x_{5}+(-7851)*x_{4}+(191)*x_{3}+(1901)*x_{2}+(-10987)*x_{1} = 107401$ A private solution to this equation $x_{9}=110655\\x_{8}=3255\\x_{7}=0\\x_{6}=0\\x_{5}=0\\x_{4}=0\\x_{3}=4\\x_{2}=4\\x_{1}=-9\\$
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