Shlomi Fish avatar Shlomi Fish committed e14a3b2

Add more to the planning.

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project-euler/122/122-planning.txt

 
 It's impossible to have @ranks = [... r , r-1 , r-1,] - it must be [ r, r-1, r].
 
-Proof 3:
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+Disproved!
+----------
 
-Since ranks[x+1] = r-1 < ranks[x] = r then (x + 1) mod 2 == 0 or else
-it will be impossible according to lemma . 
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-If ranks[x+2] = r-1 then we can construct a ranks[x] = r-1 in a similar way
-to that in Lemma 1:
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-1. [x+2] = {1,2,....i,j}
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-2. [x] = {1,2....i,j-2}
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+Set(31) = 1,2,3,5,10,20,30,31 --> rank(31) = 7
+Set(33) = 1,2,4,8,16,32,33 --> rank(33) = 6
 
 
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