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							25 lines
						
					
					
						
							548 B
						
					
					
				| /*Arithmetic Mean of a large number of Integers | |
|   - or - solve a very large constraint matrix | |
|          over 1 million rows and columns | |
|   Nigel_Galloway@operamail.com | |
|   March 18th., 2008. | |
| */ | |
| 
 | |
| param e := 20; | |
| /* set Sample := {-2**e..2**e-1}; */ | |
| set Sample := {1..2**e-1}; | |
| 
 | |
| var Mean; | |
| var E{z in Sample}; | |
| 
 | |
| /* sum of variances is zero */ | |
| zumVariance: sum{z in Sample} E[z] = 0; | |
| 
 | |
| /* Mean + variance[n] = Sample[n] */ | |
| variances{z in Sample}: Mean + E[z] = z; | |
| 
 | |
| solve; | |
| 
 | |
| printf "The arithmetic mean of the integers from 1 to %d is %f\n", 2**e-1, Mean; | |
| 
 | |
| end;
 |