mini snack sampler (4 4x4)
(Eingestellt am 9. Mai 2025, 02:00 Uhr von aqjhs)
These miniature versions of some of my puzzles were made in honor of Scojo's snackdoku marathon. (who wants seconds?)
- Normal sudoku rules apply.
- Divide the grid into two orthogonally connected regions such that no 2x2 area is completely contained in a region. All cells in one region will have a value -D, where D is the digit on the cell, and all cells in the other region will have a value of D.
- Values in cages must sum to the indicated total. Digits cannot repeat inside a cage.
- Cells on an arrow have a value sum equal to the value of its circle.
- Cells joined by a black dot have values that are in a 1:2 ratio. Not all possible dots are given.
- Normal sudoku rules apply.
- The grid is toroidal:
- Each edge of the grid is considered to be adjacent/orthogonal to its opposite edge. (For example, r3c1 is considered orthogonally adjacent to r3c9.)
- Lines wrap around opposite sides of the grid.
- The graph is a train track:
- A point where lines meet is a switch, and cells with switches are marked with red circles.
- By removing all switches the graph is cut into non-branching segments.
- Each segment has a value equal to the average of the digits in the cells it covers, not including its endpoints.
- For each switch, the sum of the values of the branches on either side of the switch is the same. The sides of a switch are indicated by the openings of the red circles. (For example for the switch on r5c2 the sum of the values of the three branches on the left is equal to the value of the right branch.)
- Normal 4x4 sudoku rules apply in the 4x4 grid.
- Full Rank: The digits on columns and rows, read in both directions, make a total of 16 four-digit numbers. Numbers in pills outside the grid (read left to right or top to bottom) show the rank in ascending order among those 16 numbers for the indicated column or row in the direction of the clue. There are no ties in rank. Pills can contain any digits from 0 to 9.
- Spaces marked with circles contain odd digits and spaces marked with squares contain even digits.
- Any three adjacent spaces along a teal line must contain digits in different residue classes modulo 3, i.e. one each of the sets [147], [258], [0369].
- Normal sudoku rules apply.
- Divide the grid into two orthogonally connected regions such that no 2x2 area is completely contained in a region. All cells in one region will have a value of 3n+1, where n is the digit on the cell, and all cells in the other region will have a value of n/2.
- Cells joined by a white dot have values with difference equal to the number on the white dot.
- Cells joined by a black dot have values in a 1:N ratio, where N is the number on the dot.
Lösungscode: r4c3 of all 4x4 grids, in order of appearance. (4 digits)
Zuletzt geändert -
Gelöst von joke, WvdWest, jkuo7, dzamie, TVDK, SKORP17
Kommentare
Zuletzt geändert am 10. Mai 2025, 00:49 Uhr
am 10. Mai 2025, 00:49 Uhr von dzamie
That one particular clue in Hailstones is mean >:(
Like, yes, it does work mathematically, but I'm glad that the incorrect assumption I made in Hailstones is actually correct in Cuatro Caminos.
am 9. Mai 2025, 09:07 Uhr von WvdWest
Nice puzzle. Struggled a bit with the hailstorm problem. But nice solves for all of them.
