Logic Masters Deutschland e.V.

There's Strength in Numbers

Today I am very happy to present a puzzle which is Scojo's birthday gift :-)
A big thank you to Testers, according to them this puzzle is very hard.

Happy Birthday, Scojo! :-)

I hope you will enjoy and I would be really grateful for all the comments and ratings.

Multigrid: In this puzzle, there are four separate 6x6 grids divided by the thick green lines.

Normal sudoku rules apply: Fill each grid with the digits 1-6 so that digits do not repeat in any row, column or 2x3 box.

Modifiers: Place 6 Modifiers* into each grid so that there is exactly one Modifier in each row, column, and 2x3 box. Within a single grid, each Modifier must contain a different digit. The value of a Modifier is modified according to its grid name (see below). The value of a non-Modifier is the digit in its cell.

*Modifiers:
Increaser: The value of an Increaser is the value in its cell increased by its row number.
Doubler: The value of a Doubler is 2 times the value in its cell.
Negator: The value of a Negator is -1 times the value in its cell.
Sesquifer: The value of a Sesquifer is 1.5 times the value in its cell.

Copycat Cells: Place 6 Copycat Cells into each grid so that there is exactly one Copycat Cell in each row, column, and 2x3 box. Within a single grid, each Copycat Cell must contain a different digit. The value of a Copycat Cell in one of the grids is the value in the cell rotationally opposite itself in one of the three remaining grids (180° rotation about the one of the five dotted centers between the two involved grids).

For example, if r2c3 is an Increaser AND a Copycat Cell containing the digit 5, and:
- r5c10 is a Doubler containing the digit 5 (the value 10),
- r11c4 is a Negator containing the digit 4 (the value -4),
- r11c10 is a Sesquifer containing the digit 3 (the value 4.5),
then the value of r2c3 is the value in one of the 3 above mentioned cells increased by the Increaser's row number (2), which is 12 (10+2), -2 (-4+2) OR 6.5 (4.5+2) [respectively].

Copycat Cell may share a cell with another Modifier. No Copycat Cell may copy another Copycat Cell.

Renban Line: Pink line contains a set of non-repeating consecutive INTEGER values in any order.

Region Sum Line: Box borders divide a blue line into segments which have the same sum of values.

Ten Lines: Beige lines can be split into one or more non-overlapping sections each of which sums to a value of 10.

Arrows: Values along an arrow sum to the value in the attached circle.

White Dot: Cells joined by a white dot contain consecutive values.

SudokuPad Link

If you liked this puzzle, I recommend trying out my other puzzles:

The Erica Series:
★☆☆☆☆: 1, 2, 4, 5, 6, 12, 15, 17, 23, 26, 27, 31, 32, 46, 47
★★☆☆☆: 3, 7, 8, 10, 11, 13, 14, 16, 18, 20, 24, 25, 29, 30, 34, 35, 38, 40, 42, 45
★★★☆☆: 9, 19, 21, 22, 28, 33, 37, 38, 41, 44, 45
★★★★☆: 36, 39, 43

German Sums Series:
★★☆☆☆: 1, 3
★★★☆☆: 2, 4 (DFM)

Shading/Ying-Yang:
★★☆☆☆: Pretty Odd Shaded Area
★★★☆☆: (+5)-Yang, Negative 8 YY
★★★★☆: Aim High! (YY)
★★★★★: Why-Why?, Happ(Y) Birthda(Y), ChinStrap!

Modifiers:
★☆☆☆☆: Borrower
★★★☆☆: Modified Flat Mates, Neighbourhood Watch
★★★★★: Mad Delirium Puzzle: Remarkably Beyond Crazy [16x16], Top Right Boi [CC]

Fog of War:
★☆☆☆☆: Erica 12, Erica 17
★★☆☆☆: It's What You Do in the Dark That Puts You in the Light, Find It All, What the Fog?, Erica 20, Erica 29
★★★☆☆: Broken Flashlight in the Dark

Pencil Puzzle/Sudoku Hybrid:
★★☆☆☆: Masyu (Short) Sudoku, Heyawake Sudoku (Given Regions), Way Too Hot, Are You? [Hotaru Beam]
★★★☆☆: Tetromino Sudoku
★★★★☆: Made in the Shade (Heyawake CC)
★★★★★: Heyawake Sudoku

Pairometers:
★★☆☆☆: Pairometers (6x6 Pack 1), Pairometers
★★★☆☆: Pairometers (6x6 Pack 2), Pairometers (6x6 Pack 3)

Various Puzzles:
★☆☆☆☆: Blown Fuses in Electrical Installation, Let Me Introduce Myself, French Wrench, GAS Regional Constraints, Quadsumes, Snack Latin Arrows, Sarah
★★☆☆☆: Symmetrical Fan, Night Club, Important Hour on the Clock, What Was the Sum Again?, Disgroup Joints, 10-Arrows, Antiking Dutch Skyscrapers, (Not so) Little Killers, Indexing Sword, Larna's HoneyMoon
★★★☆☆: Cops & Robbers, Positive Symmetry, Doppelgänger Killer 1-25, Region Whisper Line, Christmas Chaos
★★★★☆: Liars. Liars Everywhere., Sandwiched XV Squishmates, Fireworks 2025, (Yin)German Pairrows, Little Galaxy, 2x Solution
★★★★★: Any NEWS?, Potentially Pointer, Possibly Parity Party