Puzzles/POY 2010
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Puzzle of the year 2010: find phrases that generate each number i.100 , making no use of
- digits other than 2 0 1 0 in sequence
- _ and __ and _. as numbers
- letters in numeric constants (e.g. 20r10 for 2 is prohibited)
- literal strings
- ?. or ?
The number of words in each phrase is to be minimized. (Word count is according to #;:y ). Where there are multiple phrases for the same number with the same number of words, phrases with fewer essential characters are preferred, and if those are equal, then phrases whose values can be worked out by hand are preferred.
Solutions:
0 /: 2010 1 * 2010 2 2: 010 3 >. 2.010 4 # 2 0 1 0 5 p: 2: 010 6 #. _2 010 7 <. ^. 2010 8 >. ^. 2010 9 <: {: 20 10 10 {: 20 10 11 # #: 2010 12 +: #. _2 010 13 <: #. 2 010 14 #. 2 010 15 >: #. 2 010 16 *: # 2 0 1 0 17 <: #. 2 0 10 18 #. 2 0 10 19 <: {. 20 10 20 {. 20 10 21 >: {. 20 10 22 #. |. 20 1.0 23 #. ! 2 0 1 0 24 ! # 2 0 1 0 25 -: #. 20 10 26 >. %: o. 201.0 27 #. <: 20 _10 28 +: #. 2 010 29 <: #. 20 _10 30 #. 20 _10 31 p: {: 20 10 32 2^-:010 33 #. >: 2 0 1 0 34 #. *: 2 0 1 0 35 <: +: #. 2 0 10 36 +: #. 2 0 10 37 p: # #: 2010 38 #. <: 20 1.0 39 #. >: /: 2 0 1 0 40 +:{.20 10 41 #. 20 1.0 42 >: #. 20 1.0 43 <: <. %: 2010 44 <. %: 2010 45 2 ! 010 46 */ >: 2 !0 10 47 p: #. 2 010 48 >: p: #. 2 010 49 <: #. 20 10 50 #. 20 10 51 >: #. 20 10 52 *./ <. 2^>:^0 1 0 53 #. >: 20 10 54 55 #. p: 2 0 10 56 #. p: 2 0 1 0 57 >.*/,^^ > p. 2 0 1 0 58 59 p: *: # 2 0 1 0 60 +: #. 20 _10 61 62 #. 20 + 1 0 63 <. o. 20.10 64 >. o. 20.10 65 66 67 {: q: 2010 68 69 70 71 #. <: 20 _1 0 72 73 p: {. 20 10 74 75 #. <: 20 1 0 76 #. >: q: 201.0 77 <: #. 20 _1 0 78 #. 20 _1 0 79 >: #. 20 _1 0 80 20 * >. %: 10 81 <: #. 20 1 0 82 #. 20 1 0 83 >: #. 20 1 0 84 85 #. >: 20 _1 0 86 87 88 89 #. >: 20 1 0 90 +: 2!010 91 92 #. >: >: 20 _1 0 93 94 +: #. <: 20 10 95 >. #. o. 20 _10 96 #. >: >: 20 1 0 97 p: ! # 2 0 1 0 98 +: <: #. 20 10 99 <: #. +: 20 10
See also
- Puzzle of the Year 1996
- Puzzle of the Year 2005
- Puzzle of the Year 2006
- Puzzle of the Year 2007
- Puzzle of the Year 2008
- Puzzle of the Year 2009
- Puzzle of the Year 2010
Comments
- This is getting boring imo. I only really worked on this in a single year. I admit I haven't yet written an automated solution that searches most of the solution space for solutions, but that would be just as interesting for an older year than for this one. I propose that there be no new years of this puzzle posted, instead either we keep optimizing one of the older years (choose one with the best solutions currently and mark the rest as depreciated) and/or someone invent a significantly different puzzle for 2010. -- B Jonas <<DateTime(2009-09-27T11:56:53+0200)>>
- No one is forced to participate. -- Roger Hui <<DateTime(2009-09-27T06:27:03-0800)>>
- I finally found a proof that even the hardest of these can be solved in 5 words. 91 is # ; = ` Z2OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO008B . Of course, that's unlikely to ever be the shortest solution, as in some of the past years we've found solutions of at most 4 words for most entries, and 5 word long solutions with fewer characters for the other few. -- B Jonas <<DateTime(2010-08-09T00:28:18+0200)>>
- The idea is from Puzzles/2147483647 of course. -- B Jonas <<DateTime(2010-08-09T00:33:44+0200)>>