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Sashi Park: an introduction

Puzzling Asked on June 4, 2021

This is a Sashigane-Statue Park hybrid. The rules might look complicated, but they’re just the two rulesets smushed together. Familiarity with both genres will help.

Rules

Statue Park (adapted from here)

  • Shade some cells to form the given set of pieces (in this case, a single tetromino set)
  • Pieces can only touch at corners (so they can’t be orthogonally adjacent)
  • All unshaded cells must be orthogonally connected
  • Cells with small black circles are shaded, and cells with small white circles are unshaded

Sashigane (adapted from here)

  • Divide the unshaded cells into L-shaped blocks, one block wide. All unshaded cells must be part of an L-shaped block
  • Cells with large circles form the knee, or bend, in a block
  • The number in a large circle denotes the number of cells in its block. Large circles with a question mark (?) may be part of a block with any number of cells
  • Cells with arrows form one end of their block, and the arrow points towards the knee
  • The number of markings (arrows and large circles) in a block may be 0, 1, 2, or 3. In other words, a block may have or not have an arrow at either end, and may have or not have a large circle at its knee.

The small white circles for Statue Park ARE NOT large circles for Sashigane. Statue Park’s small white circles may be anywhere in an L-shaped block – at an end, at the knee, or neither.

Now that you’ve survived the rules, the actual puzzle. I’ve included all tetrominoes as a reference.

the puzzle - see transcription below


Nothing below this line is strictly necessary to solve the puzzle. It’s just some useful information/tools, as well as clarifications about what kinds of answers I will accept.

Here is the puzzle in a Penpa editor

The first answer with a fully-explained logical solution path will get the checkmark. A full solution will have all cells confirmed either shaded or unshaded (for Statue Park) and have borders drawn in for all L-shaped blocks (for Sashigane) I welcome multiple answers, if later ones can show a better-explained, more elegant, or significantly different path. Please do not answer without an explanation/solve path.

Here is a tabular transcription good for copying into a spreadsheet. Ignore the header row; the first row with a circle is the first row of the puzzle. The Sashigane circles are depicted only by their contents. So the "5" is a 5 in a large circle and the "?" is a ? in a large circle. All circles shown are Statue Park clues.

5
?

Crash course in Penpa: Things that might be helpful to solve the puzzle

  • To change the background color of a cell, click on "Surface" under "Mode", select the color you want (e.g. "Light grey"), and click on a cell. I recommend choosing one color for "confirmed shaded" and one color for "confirmed unshaded". Don’t use too dark a color for unshaded cells or else the borders won’t stand out.
  • To draw a border between cells, click on "Edge" under "Mode", select the type of border you want (e.g. "Fat"), and click-and-drag along a border. The "Fat" after "Dotted" is a dotted fat border. I recommend not using thin or dotted borders; they do not stand out as well.
  • To draw a connecting line between two cells, click on "Line" under "Mode", select the type of line you want (e.g. "Thin"), and click-and-drag between the centers of two cells. I recommend doing this to notate cells that a border cannot divide.

Finally, I would like to thank Sciborg. This puzzle type was dreamed up while we were DMing in Discord; they couldn’t decide if they loved Sashigane or Statue Park more. The obvious move was to combine the two genres.

One Answer

Completed Grid

Reasoning

Let's start with some Sashigane logic:

Back to the 5-bend:

And the ? bend again:

A fifth statue:

A contradiction forces the L and the I:

The right side:

Finishing up:

Correct answer by Jeremy Dover on June 4, 2021

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