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Inspired by the "Treasure Hunter Monolith" minigame from Danganronpa V3


Dodgy Dies Guide


Terminology

Block - a single die on the grid.

Cycle - a list of blocks

Value - the position of a block in the cycle.

Group - a collection of (at least two) same valued blocks which are positioned so that they form an overall structure. For a block to be included in the structure it must be adjacent to another block in the structure. The structure is considered as one entity and always includes every block that can legally exist as part of the structure.

Move - the elimination of a group from the grid, causing all adjacent blocks to increase in value.

Rules

In this puzzle you will be presented with a grid of blocks. Your goal is to eliminate all blocks so that no block remains on the grid - in the fewest moves possible. For each move you get to pick a group that is currently on the grid and eliminate it. All blocks that are currently adjacent to the eliminated group will then increase in value. The values loop so a block with the highest value will change into the lowest value block. A block with a cross is immune to changing value however all other rules still apply (i.e. can still be eliminated and can exist in a group). Clues for the solution will be given in the puzzle, your answer must satisfy those clues.

Examples

These examples will use this cycle: four dies in a row White (1), Red (2), Yellow (3), Blue (4) --> White (1)...

The groups available in this example grid have been highlighted red lines around blocks Here is an example of elimination! The highlighted group in the left grid is eliminated and the grid transforms into the grid on the right two similar grids

Dodgy Dies: The Puzzling Premiere


The cycle for this puzzle is: four dies in a row White (1), Red (2), Yellow (3), Blue (4) --> White (1)...

Eliminate all blocks from this grid grid of blocks

Clues

  • 21 White (1) blocks are eliminated
  • 15 Red (2) blocks are eliminated
  • 29 Yellow (3) blocks are eliminated
  • 45 Blue (4) blocks are eliminated
  • 2 crossed blocks are present
  • There is something 'special' about the solution. Perhaps I'm making you work towards something?

Hints

Hint 1

Jigsaw strategy?

Hint 2

An unimaginable number of moves are possible. The clues and rules won't help you in this regard. However, there is a small amount of something else that can guide you towards the answer!

Hint 3

The number of moves used for the solution is between (but not excluding) 12 and 16! I wonder if anything new can be learned from this information...

Hint 4

All eliminated Red (2) blocks are adjacent to other eliminated Red (2) blocks. This hint is powerful but be careful; the wrong conclusion may fool you!

Hint 5

The eliminated blocks at every corner of the grid are Blue (4). The remaining eliminated Blue (4) blocks are all adjacent to other eliminated Blue (4) blocks! Just like in hint 4, be extra careful with your reasoning!

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  • 1
    $\begingroup$ At first glance, I don't see a nice way to deduce anything logically - I could be missing something, but I'm not sure grid-deduction really applies here? $\endgroup$ – Deusovi Aug 15 at 21:26
  • 1
    $\begingroup$ Do "groups" have to be maximal connected sets of same-value dice? E.g., are we allowed to take just the bottom-right die as a "group" and eliminate it, or if we do that do we have to take the other 5 that it's together with? $\endgroup$ – Gareth McCaughan Aug 15 at 21:36
  • 1
    $\begingroup$ Do the counts of eliminated blocks refer to what sort of blocks they are when eliminated or what sort of blocks they are at the beginning? $\endgroup$ – Gareth McCaughan Aug 15 at 21:36
  • 2
    $\begingroup$ Actually, I think I can answer my own question about the counts: since they don't perfectly match the block-counts in the initial position and everything's meant to end up eliminated, they must refer to what the blocks are immediately before their elimination, right? $\endgroup$ – Gareth McCaughan Aug 15 at 21:40
  • 8
    $\begingroup$ I can't get past the use of "dice/dices". The singular is "die"; the plural is "dice". $\endgroup$ – shoover Aug 15 at 22:58
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New Solution

45 in 8 steps

enter image description here

Old solution

Obviously, this is a long solution, but I hope this can be of help to other answerers.

Steps 1-8:

enter image description here

Steps 9-16:

enter image description here

Steps 17-24:

enter image description here

Steps 25-29:

enter image description here

The remaining gets trivial and requires 8 more steps, rendering the solution using

a disappointing 37 steps.

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  • 2
    $\begingroup$ You can't remove single blocks, so this doesn't work at all. $\endgroup$ – Deusovi Aug 31 at 4:18
  • $\begingroup$ oops sorry, will try to improve on it... $\endgroup$ – Omega Krypton Aug 31 at 4:23
  • $\begingroup$ The current attempt is very good so far! $\endgroup$ – Adam Aug 31 at 15:02

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