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supercomputer [2023/02/27 17:21] harshec |
supercomputer [2023/02/27 17:36] (current) harshec |
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- | ====A Supercomputer Joins The search==== | + | ====A Supercomputer Joins The Search==== |
In February of 2023 Eric Harshbarger started using resources at the Alabama Supercomputer Authority to search certain spaces for possible permutation-fair sets. The hope is that such improved speeds will help fill in entries farther down the list on the page of [[inhomogeneous_solutions|Inhomogeneous Solution Counts]]. Previous reliance on single computers to conduct such searchs allowed Eric, Landon Kryger, and Brandon Enright to make quite a bit of progress in eliminating configurations by exhaustive search. However, eventually the search spaces became too large; things started becoming too big around 18-18-18-24-30 or so. | In February of 2023 Eric Harshbarger started using resources at the Alabama Supercomputer Authority to search certain spaces for possible permutation-fair sets. The hope is that such improved speeds will help fill in entries farther down the list on the page of [[inhomogeneous_solutions|Inhomogeneous Solution Counts]]. Previous reliance on single computers to conduct such searchs allowed Eric, Landon Kryger, and Brandon Enright to make quite a bit of progress in eliminating configurations by exhaustive search. However, eventually the search spaces became too large; things started becoming too big around 18-18-18-24-30 or so. | ||
- | With the discovery of a valid 20-36-36-36-36 set by Bram Cohen in December 2022, Eric was encouraged that the use of a high performance cluster (HPC, aka, supercomputer) might help search this remaining window of configurations. An HPC will likely only speed things up by a few orders of magnitude, and while that would not help in spaces as vast as the 5d30 space (10< | + | With the discovery of a valid [[significant_solutions|20-36-36-36-36 set by Bram Cohen]] in December 2022, Eric was encouraged that the use of a high performance cluster (HPC, aka, supercomputer) might help search this remaining window of configurations. An HPC will likely only speed things up by a few orders of magnitude, and while that would not help in spaces as vast as the 5d30 space (10< |
To take advantage of the HPC, Eric had to modify the search code in use. The original code had been written by Landon Kryger and was extraordinarily fast; but, again, it had pretty much reached its limit when running a single search on a single core processor. The java code was modified by Eric to do a couple of things. | To take advantage of the HPC, Eric had to modify the search code in use. The original code had been written by Landon Kryger and was extraordinarily fast; but, again, it had pretty much reached its limit when running a single search on a single core processor. The java code was modified by Eric to do a couple of things. | ||
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- | But, at least that " | + | But, at least that " |
It is at this point Eric should formally that the Alabama Supercomputer Authority by including their recommended blurb: "This work was made possible in part by a grant of high performance computing resources and technical support from the Alabama Supercomputer Authority." | It is at this point Eric should formally that the Alabama Supercomputer Authority by including their recommended blurb: "This work was made possible in part by a grant of high performance computing resources and technical support from the Alabama Supercomputer Authority." | ||