From: Ian Jackson <ijackson@chiark.greenend.org.uk>
Date: Thu, 25 Nov 2021 23:37:32 +0000 (+0000)
Subject: random.md: wip
X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ianmdlvl/git?a=commitdiff_plain;h=385fd0dfc1f33127f600be6d00a475669dbc53bc;p=quacks.git

random.md: wip

Signed-off-by: Ian Jackson <ijackson@chiark.greenend.org.uk>
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+RANDOM INITIAL BAG NOTES
+
+
+I. Garlic
+
+Assumption 1. (pretty certain): The total amount of garlic is
+important.  It must be 11 (4x1 + 2x2 + 3) until the 1 extra gets
+added.
+
+Assumption 2. (doubtful, may needs testing): the amount of "big"
+garlic vs "small" garlic chips is important.  Reify this as: the total
+number of garlic chips must remain (roughly) the same.
+
+With assumptions 2, there are only the following garlic compositions
+possible:
+
+  2x 3-garlic                5x 1-garlic
+  1x 3-garlic  2x 2-garlic   4x 1-garlic   <- standard
+  0x 3-garlic  4x 2-garlic   3x 1-garlic
+
+(Proof: there are 7 garlic chips, each of at least 1 garlic.  That
+leaves 4 "surplus" garlic to distribute amongst otherwise-identical
+chips.)
+
+With assumption 2 weakened to "roughly" (ie, +1/-1) there are the
+following additional possibilities:
+
+1 fewer garlicky chips (more lumpy garlic, 5 "surplus"):
+
+  2x 3-garlic  
+
+
+
+
+Without assumption 2, there are many other possiblities.