User:Inthar/MV3: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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First assume for simplicity that len(C) = 2. Then there are only three possible lengths: 2Y, 2Z, Y+Z. Suppose all 3 occur. By (*), 2Y and 2Z cannot occur within the same contiguous string. We're assuming S has at least one X.
First assume for simplicity that len(C) = 2. Then there are only three possible lengths: 2Y, 2Z, Y+Z. Suppose all 3 occur. By (*), 2Y and 2Z cannot occur within the same contiguous string. We're assuming S has at least one X.


     YY          YZ          ZY         ZZ
Write down and tabulate all strings that occur as in the following chart. If a string occurs, mark the corresponding box YES. If a string doesn't occur, mark the box NO.
  0 [_ _]      [_ _]      [_ _]      [_ _]
 
  1 [_ X _]    [_ X _]    [_ X _]    [_ X _]
     2Y         Y+Z        2Z
  2 [_ X X _]  [_ X X _]  [_ X X _]  [_ X X _]
  0 [_ _]      [_ _]      [_ _]
  3 [_ X X X _] [_ X X X _] [_ X X X _] [_ X X X _]
  1 [_ X _]    [_ X _]    [_ X _]
  2 [_ X X _]  [_ X X _]  [_ X X _]
  3 [_ X X X _] [_ X X X _] [_ X X X _]
  ...
  ...