Logic Masters Deutschland e.V.

We haven't seen a new Still Life (a ruleset based on John Conway's Game of Life – see the examples below) in a while, and so I figured I could come back of hiatus to offer you this one, which features what should hopefully be a fun little twist on Sktx's ruleset. Here's a link to the other Still Life puzzles should you want to either get familiarized with this shading puzzle type first, or want to measure yourself against some more after this one.



RULES

Normal sudoku rules apply: Place the digits 1 to 9 in each row, column, and 3x3 box.

STILL LIFE (after Conway's Game of Life)
Shade some cells green ("active cells") such that the – up to – eight cells neighboring each green cell contain exactly 2 or 3 other green cells and the neighbors of each 'unshaded' – or black/red/etc. – cell ("inactive cells") do not contain exactly 3 green cells.
– A CIRCLED cell's digit indicates the number of cells that are in the SAME state as its own in its neighborhood, including its own cell
– A SQUARED cell's digit indicates the number of cells that are in a DIFFERENT state from its own in its neighborhood (therefore not including its own cell)

RENBAN
– Each purple line must contain a set of non-repeating consecutive digits, but not necessarily in order.
– Every digit on a purple line must either be a valid CIRCLED cell or a valid SQUARED cell, or both at once, per the Still Life rules.


==== EXAMPLES ====

In Example 1, a 3x3 box with a Game of Life pattern is shown (green for active cells, grey for inactive cells). But the cells marked with a ! are unstable : they either are inactive but with 3 active neighbors, or active but with less than 2 or more than 3 active neighbors. Therefore this pattern is not a Still Life pattern, and can not appear in a Still Life Sudoku puzzle.

In Example 2, a 3x3 box is shown filled with digits and clues (circles and squares), the Game of Life pattern that is shown is stable, and all the clues are fulfilled. This could appear in a Still Life Sudoku puzzle. John Conway Game of Life