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Re^3: Challenge: Chasing Knuth's Conjecture

by tall_man (Parson)
on Mar 29, 2005 at 15:07 UTC ( [id://443242]=note: print w/replies, xml ) Need Help??

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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"

[download]

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

Replies are listed 'Best First'.
Re^4: Challenge: Chasing Knuth's Conjecture
by Roy Johnson (Monsignor) on Mar 29, 2005 at 20:19 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

    [download]

    Code follows.

    Read more... (3 kB)
    Caution: Contents may have been coded under pressure.
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