Cloverfield Windmill

For fans of Killer Sudoku, Samurai Sudoku and other variants

Re: Cloverfield Windmill

Postby m_b_metcalf » Tue Jun 12, 2018 8:34 am

Hajime wrote:
    - a vanilla- or x-samurai cannot have an empty middle grid - as experienced by m_b_metcalf
      a vanilla samurai needs 5 givens and an x-samurai needs at least 1 given in the middle grid

It is clear that for a standard samurai at least two clues are needed in the central box (box, not puzzle). As quoted elsewhere: "In a limiting case, sufficient information can flow between the five sub-puzzles for the four corner ones to be solved completely. What is left is a central puzzle with its corner boxes full. We know that one other box must contain some clues, namely the central one (otherwise there are pairs of empty rows/columns), and that it must contain at least two clues positioned such that there are not two rows (or columns) intersecting it [the box] that are empty.". Why, in practice, five seem to be necessary I do not know.

Regards,

Mike Metcalf
User avatar
m_b_metcalf
2017 Supporter
 
Posts: 13577
Joined: 15 May 2006
Location: Berlin

Previous

Return to Sudoku variants