Sign in to follow this  
Endy0816

Multivar equation help

Recommended Posts

Can anyone solve or help me find solutions for:

x + z - y = (0 or 15)

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

Share this post


Link to post
Share on other sites
17 minutes ago, 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?

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.zip

 

Edited by Sensei

Share this post


Link to post
Share on other sites
49 minutes ago, 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.zip

 

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 by Endy0816

Share this post


Link to post
Share on other sites
On 2/18/2018 at 5:02 PM, Sensei said:

 

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

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

Share this post


Link to post
Share on other sites

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.

Share this post


Link to post
Share on other sites
On ‎2‎/‎18‎/‎2018 at 4:45 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?

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.

,

 

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
Sign in to follow this