Multivar equation help

[Endy0816]

Can anyone solve or help me find solutions for:

x + z - y = (0 or 15)

with x, y, and z ranging between 0 - 15?

[Sensei]

  On 2/18/2018 at 10:45 PM, Endy0816 said:

Can anyone solve or help me find solutions for:

x + z - y = (0 or 15)

with x, y, and z ranging between 0 - 15?

Expand  

Why not write C/C++ program?

#include <stdio.h>

int main( void )
{
	int counter = 1;
	for( int x = 0; x <= 15; x++ )
	{
		for( int y = 0; y <= 15; y++ )
		{
			for( int z = 0; z <= 15; z++ )
			{
				int result = x + z - y;
				if( ( result == 0 ) || ( result == 15 ) )
				{
					printf( "%d. X=%d Y=%d Z=%d\n", counter, x, y, z );
					counter++;
				}
			}
		}
	}
	return( 0 );
}

                                   

 

It generated 272 results, check results.txt in Release folder.

MultivarEquationHelp.zipFetching info...

 

Edited February 18, 2018 by Sensei

[Endy0816]

  On 2/18/2018 at 11:02 PM, Sensei said:

Why not write C/C++ program?

#include <stdio.h>

int main( void )
{
	int counter = 1;
	for( int x = 0; x <= 15; x++ )
	{
		for( int y = 0; y <= 15; y++ )
		{
			for( int z = 0; z <= 15; z++ )
			{
				int result = x + z - y;
				if( ( result == 0 ) || ( result == 15 ) )
				{
					printf( "%d. X=%d Y=%d Z=%d\n", counter, x, y, z );
					counter++;
				}
			}
		}
	}
	return( 0 );
}

                                   

 

It generated 272 results, check results.txt in Release folder.

MultivarEquationHelp.zipFetching info...

 

Expand  

Thank you. Seemed relatively simple at first. I was able to find a number of solutions myself, but the inner positions where no coordinate is zero or 15 were giving me a headache.

 

 

Edited February 18, 2018 by Endy0816

[Bignose]

  On 2/18/2018 at 11:02 PM, Sensei said:

 

It generated 272 results, check results.txt in Release folder.

Expand  

272 integer results... do x, y, and z have to be integers? The original problem statement did not state that.

[Endy0816]

Yes, only needed the integers.

Somewhat embarrassed to say its for Minecraft. The normal order of events can alter at these particular coordinates. They repeat nigh infinitely across the world too, so should be extremely  useful.

[Country Boy]

  On 2/18/2018 at 10:45 PM, Endy0816 said:

Can anyone solve or help me find solutions for:

x + z - y = (0 or 15)

with x, y, and z ranging between 0 - 15?

Expand  

I assume x, y, and z must be integers.

  First x+ z- y= 0.

If x= 0 then z-  y= 0 so z= y.

(0, 0, 0), (0, 1, 1), (0, 2, 2), ..., (0, 15, 15)

If x= 1 then z- y= -1 so z= y- 1

(1, 1, 0), (1, 2, 1), (1, 3, 2), ..., (1, 15, 14)

If x= 2 then z- y= 2 so z= y- 2

(2, 2, 0), (2, 3, 1), (2,  4, 2), ...., (2, 14, 12)

continue.

,