In a standard Sudoku grid, each cell can be identified in two different coordinate systems.
One way is by its row and column, e.g. the cell R5C7 lies in row 5 and column 7.
The other way is by its box and position index, e.g. the cell B6P4 lies in box 6 at position 4 within that box.
Actually, both notations refer to the very same cell in the 9×9 Sudoku — R5C7 is identical to B6P4.
Based on this dual coordinate system, we introduce two pairs of corresponding indexer constraints as follows:
Rules:
Normal Sudoku rules apply, requiring that each row, column, and 3×3 box contains the digits 1-9 exactly once. Additionally:
·Disjoint Groups:
Cells with the same position within the boxes contain all the numbers 1-9.
·Row indexer:
A marked cell in row X indicates the row in which the digit X appears in the same column. (Colored in blue)
·Column indexer:
A marked cell in column X indicates the column in which the digit X appears in the same row. (Colored in red)
·Box indexer:
A marked cell in box X indicates the box in which the digit X appears at the same position. (Colored in green)
·Position indexer:
A marked cell in position X indicates the position in which the digit X appears in the same box. (Colored in yellow)
Here is how the different indexers (row, column, box, position) work on a standard 4x4 Sudoku grid:
Here you can solve this puzzle online:
Solve on SudokuPad
The difficulty is probably 4-5 stars. I wish you joyful solving!
For those who want a gentler introduction, there is an easier version here:
Indexers Playground
Gelöst von Fw1728, Klyzx, YoshiKyon, jalebc, vV6666, SKORP17, Allagem, Qodec, Fisherman
Gestern, 10:17 Uhr von Qodec
Solving this is like eating a lobster. It looks unappealing, it requires some meticulous work if you're like me and go for the tentacles too. But boy was that yummy.
Gestern, 06:44 Uhr von Allagem
This puzzle requires an organized and methodical approach to keep up with all of relationships between cells across the grid (hello Disjoint Groups), but sure enough all the required information is there if you can just spot it. You have to be in the right mindset to enjoy this puzzle, but then finding each deduction that brings a flurry of breakthroughs can be so satisfying.
Good puzzle, and I really appreciate how the graphics were handled!