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Re^3: Challenge: Chasing Knuth's Conjecture

by tall_man (Parson)
on Mar 29, 2005 at 20:07 UTC ( #443242=note: print w/replies, xml ) Need Help??

in reply to Re^2: Challenge: Chasing Knuth's Conjecture
in thread Challenge: Chasing Knuth's Conjecture

I computed an answer for 38 with my modified version of hv's program, using logs. The result is:
"sssssssssfsssssssssssfssssssfssssssfssssssfssssssssssfssssssssfssssss +ssfssssssfssssssfssssfssssssssfsfssfssssssfsssssfssfsfssff"

I confirmed this answer with Math::Pari, and it is correct. The highest factorial required is 1861.

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Re^4: Challenge: Chasing Knuth's Conjecture
by Roy Johnson (Monsignor) on Mar 30, 2005 at 01:19 UTC
    My code looks like it agrees with yours; I set the factorial limit to 5000, and it ran for 20 or 30 minutes, I think. 64 is the first skip at that setting.

    I did a simple translation of your Inline C sub into Perl, and it is still very fast. Running it for 64 took 33 seconds, and it popped out:

    64 => sssssssssfssssssfsssssssssssssfsssssssssssfssssssssssssfssssssss +ssfssssssf ssssssssfsssssssssfsssssssssssfsssssssfssssssfsssssssssssfssssssssfsss +ssssssssfs sssssfssssssfssssssfssssssssssfssssssssfssssssssfssssssfssssssfssssfss +ssssssfsfs sfssssssfsssssfssfsfssff biggest tried was 5071

    Code follows.

    Caution: Contents may have been coded under pressure.

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