Self-reference 1999 computations preserved from deletion by att worldnet's demise. Note: singletons are moved as far forward in the alphabet as possible below. Thus sentences with a z are also pangrams. Computations were done with binary decision diagrams (BDD's). Public domain, distribute freely with or without attribution.

Monday, January 4, 2010

Self-Referential Sentences: Beer 99 to Beer 98 Transition with Error Correcting Code

Self-referential ``Ninety nine bottles of beer'' to ``Ninety eight bottles of beer'' Stanza, exhaustive list - there are no other pure falling state transitions from ``A hundred'' thru ``Ninety six'' Bottles of Beer.

Ninety nine bottles of beer, three a's, three b's, one c, two d's, thirty five e's,
seven f's, four g's, eight h's, twelve i's, one j, one k, five l's, one m,
twenty one n's, seventeen o's, one p, one q, eight r's, twenty six s's, twenty two t's,
four u's, six v's, eight w's, four x's, six y's, and one z on the wall,

Ninety nine bottles of beer,

If one of those bottles, four e's, one g, one i, one k, one m, six n's, seven o's,
one p, one q, one r, two t's, two u's, two w's, one y, and one z should
happen to fall,

Ninety eight bottles of beer, three a's, three b's, one c, two d's, thirty one e's,
seven f's, three g's, eight h's, eleven i's, one j, five l's, fifteen n's, ten o's,
seven r's, twenty six s's, twenty t's, two u's, six v's, six w's, four x's, and five y's on the wall.

[explanation: Both the 99 and 98 states are self-referential, but you can't have letters increasing any more than you can have beer bottles increasing when things are falling. This is the only pure falling state change.]

[question: Are the letters used or mentioned? A logic puzzle.]

1 comment:

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