StackOverflow2013

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plurals

PO
primarykey
Id
12624590
data
AcceptedAnswerId
0
AnswerCount
0
ClosedDate
CommentCount
5
CommunityOwnedDate
CreationDate
2012-09-27T15:11:30.823
FavoriteCount
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LastActivityDate
2012-09-27T19:21:54.560
LastEditDate
2012-09-27T19:21:54.560
LastEditorUserId
992344
OwnerUserId
992344
ParentId
12586811
PostTypeId
2
Score
2
ViewCount
0
LastEditorDisplayName
text
Body
How about combining Kyle's answer with distinct, for up to n of the x_i variables (randomly chosen)? This will give a model like (for N = 50 and 100 x_i variables): <pre><code> x = [0 -> 1, 1 -> 11, 2 -> 50, 3 -> 1, 4 -> 2, 5 -> 1, 6 -> 36, 7 -> 1, 8 -> 34, 9 -> 1, 10 -> 13, 11 -> 5, 12 -> 7, 13 -> 23, 14 -> 1, 15 -> 40, 16 -> 42, 17 -> 1, 18 -> 1, 19 -> 1, 20 -> 16, 21 -> 33, 22 -> 1, 23 -> 17, 24 -> 20, 25 -> 1, 26 -> 9, 27 -> 44, 28 -> 1, 29 -> 49, 30 -> 26, 31 -> 1, 32 -> 29, 33 -> 46, 34 -> 8, 35 -> 1, 36 -> 27, 37 -> 1, 38 -> 1, 39 -> 32, 40 -> 1, 41 -> 31, 42 -> 1, 43 -> 1, 44 -> 14, 45 -> 1, 46 -> 1, 47 -> 1, 48 -> 1, 49 -> 1, 50 -> 35, 51 -> 19, 52 -> 43, 53 -> 22, 54 -> 1, 55 -> 1, 56 -> 1, 57 -> 1, 58 -> 21, 59 -> 1, 60 -> 1, 61 -> 39, 62 -> 28, 63 -> 12, 64 -> 1, 65 -> 1, 66 -> 1, 67 -> 1, 68 -> 1, 69 -> 41, 70 -> 1, 71 -> 25, 72 -> 1, 73 -> 6, 74 -> 1, 75 -> 1, 76 -> 1, 77 -> 1, 78 -> 1, 79 -> 24, 80 -> 1, 81 -> 30, 82 -> 38, 83 -> 3, 84 -> 4, 85 -> 1, 86 -> 1, 87 -> 1, 88 -> 1, 89 -> 1, 90 -> 18, 91 -> 1, 92 -> 47, 93 -> 37, 94 -> 1, 95 -> 45, 96 -> 1, 97 -> 15, 98 -> 48, 99 -> 10, else -> 1], </code></pre> Here's a Z3Py script accomplishing this, assuming the first N indices can be constrained, instead of random ones (and using a function for x instead of constants so it was faster to write): <a href="http://rise4fun.com/Z3Py/M3TG" rel="nofollow">http://rise4fun.com/Z3Py/M3TG</a> Next is code for doing this for a random set of indices, but you can't run this on Z3Py@Rise, because it does not allow using imports, so you'll have to run it locally. <pre><code>from random import * from z3 import * x = Function('x', IntSort(), IntSort()) M = 100 N = 50 s = Solver() idxs = sample(xrange(M),N) # get N random ids from sequence {1,...M} print idxs distinctlist = [] for i in range(M): s.add(And(x(i) >= 1, x(i) <= N)) if i in idxs: distinctlist.append(x(i)) print distinctlist s.add(Distinct(distinctlist)) print "checking..." r = s.check() print r if r == sat: print s.model() </code></pre> (Beware if you make this query unsat, it may timeout.)
Tags
Title
singulars
PostAcceptedAnswerId
1. This table or related slice is empty.
PostParentId
1. POWriting Constraints for At least one assignment from 1 to N to a set of variables in Sat Solver
 singulars
 PostTypePostTypeId
 PTQuestion
PostTypePostTypeId
1. PTAnswer
UserLastEditorUserId
1. USTaylor
UserOwnerUserId
1. USTaylor
plurals
PostLinksPostIdRelatedPostId
1. This table or related slice is empty.
PostLinksRelatedPostIdPostId
1. This table or related slice is empty.
PostsAcceptedAnswerId
1. POWriting Constraints for At least one assignment from 1 to N to a set of variables in Sat Solver
 singulars
 PostTypePostTypeId
 PTQuestion
PostsParentIdCreationDate
1. This table or related slice is empty.
VotesPostIdCreationDate
1. VO
 singulars
 PostPostId
 PO
 UserUserId
 This table or related slice is empty.
 VoteTypeVoteTypeId
 VTUpMod
2. VO
 singulars
 PostPostId
 PO
 UserUserId
 This table or related slice is empty.
 VoteTypeVoteTypeId
 VTAcceptedByOriginator
CommentsPostId

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