| Ax+By+....Cw+Ez=F | |
| Coefficients of the diophant equation and the free term (through space) | |
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| 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 |
*x_{7}+(8)*x_{6}+(369)*x_{5}+(-11)*x_{4}+(76)*x_{3}+(39)*x_{2}+ (-501)*x_{1}%20=%205612) |
| A private solution to this equation |
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| Original diophant equation |
*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}%20=%20107401) |
| A private solution to this equation |
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