Einstein Sudoku 2.0
(Published today, 04:58 by mbumbee)
The relevant logic grid:
In this puzzle, the logic grid is actually in the sudoku grid (see the puzzle at the top).
Notice how the logic puzzle categories are along the left and top of the puzzle. Your job is to solve the logic grid using the information provided in the sudoku puzzle. There are no extra clues, all the information is provided in the sudoku grid itself. Correct entries in the logic grid are marked by making a square green and incorrect entries are marked by making a square red. The blue squares are not part of the logic grid but are of course part of the sudoku.
Each dot type, each line type, and each cell color type is only matched to one color (there will be 3 green cells in every logic grid box). No negative constraint should be assumed from red boxes.
When you determine which entries are true and which entries are false, this is how you can read the lines of information:
[Color] lines are renban lines. Renban lines contain a consecutive set of digits, in any order.
[Color] lines are german whisper lines. German whisper lines have adjacent digits that differ by 5 or more.
[Color] lines are parity lines. Parity lines alternate between odd and even digits.
Dots:
[Color] dots are 2:1 dots, meaning the digits separated by the dot are in a 2:1 ratio.
[Color] dots are consecutive dots, meaning the digits separated by the dot are consecutive.
[Color] dots are “X” dots, meaning the digits separated by the dot sum to 10.
Cells:
[Color] cells are all each either a maximum OR minimum cell. Maximum cells are greater than every adjacent cell (diagonals are not included). Minimum cells are less than every adjacent cell (diagonals not included).
[Color] cells never sum to 5 with an adjacent cell. In other words, the border between a [color] cell and another cell would never have a V.
[Color] cells are all even or are all odd (they all have the same parity).
Your job then, is to determine how the logic grid should be filled out, and to use that information to solve the sudoku puzzle. You may need to work back and forth between the logic and the sudoku digits to find a solution. Other than this, normal sudoku rules apply!
An example may be useful. Say you determine the following:
Then this will be the logic grid:
You would then get the following facts from the grid:
1) Green lines are Renban lines. Red lines are german whisper lines. Blue lines are parity lines.
2) Green dots separate consecutive numbers. Red dots separate cells in a 2:1 ratio. Blue dots separate cells whose values sum to 10.
3) Green cells never have a value that sums to 5 with an adjacent cell’s value. Red cells are always maximum or minimum cells (greater than every adjacent digit or less than every adjacent digit). Blue cells are all the same parity (all odd, or all even).
If you need a little bit more, here is a slight nudge (white text).
→Because the blue boxes will contain the digits 1-9, it can’t be true that all blue cells are the same parity. You can mark the intersection of [blue] and [all same parity] as wrong/red. What other conclusions can you reach? ←
SudokuPad Link with SPOILERS, version with removed logic grid
Solution code: box 9, reading order
Comments
today, 06:46 by mbumbee
Rule clarification
today, 05:01 by Synergenesis
This has to be my favorite puzzle that you've ever done as well as one of my overall favorite sudokus of all time. Such an absolutely elegant way to combine these two puzzle types, well done!
