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 96

Self-referential ``Ninety six bottles of beer'' sentences, exhaustive list - there are no others.


1. Ninety six bottles of beer, three a's, three b's, two d's, twenty eight e's, eight f's, five g's, eight h's, fourteen i's, five l's, twelve n's, eight o's, seven r's, twenty six s's, nineteen t's, four u's, six v's, six w's, five x's, and four y's on the wall.

2. Ninety six bottles of beer, three a's, three b's, two d's, twenty eight e's, six f's, two g's, seven h's, thirteen i's, four l's, nineteen n's, nine o's, nine r's, twenty six s's, nineteen t's, four u's, three v's, six w's, five x's, and four y's on the wall.

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

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

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

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

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

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

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

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

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

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

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

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

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