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This is an entry for Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community


This is a Sashigane puzzle, where you divide the grid into L shapes.

Rules taken from Nikoli:

  • Divide the grid into L shaped blocks - one block wide. All blocks must be L shaped.
  • Cells with open circles form the knee (bend) in a block.
  • The number in an open circle shows the number of cells in its block. Open circles without numbers may have any number of cells.
  • Cells with arrows form one end of its block, the arrow points towards the knee of this block.
  • The number of marks in a block (arrows or open circles) may be 0, 1, 2, or 3.

An example puzzle and its solution, taken from Nikoli:

example puzzle

example solution

Now, solve this puzzle:

the real puzzle - see CSV file below

Here is the puzzle in a playable form. The link leads to a puzz.link editor (which has a timer, if you care about that).

First answer with a fully-explained logical solution path gets the checkmark.

CSV version:

,,,,,,◯,,←,
,4,,,◯,,,,,
,,,,,,,,,
,,,,,,←,,,
,,,5,,5,,5,,
,,5,,5,,5,,,
,,,←,,,,,,
,,,,,,,,,
,,,,,◯,,,4,
,↑,,◯,,,,,,
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  • $\begingroup$ How could an open circle be 0? $\endgroup$ – Omega Krypton Dec 4 '20 at 16:05
  • $\begingroup$ An L shape may have an arrow on either end and a circle at its bend, making 3 marks, or it could have no marks at all, or be somewhere in between. $\endgroup$ – bobble Dec 4 '20 at 16:09
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Hooray! The answer is as follows:

enter image description here

Solving progress:

enter image description here
enter image description here
enter image description here

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  • 6
    $\begingroup$ Generally it is advised to not provide solutions without any adequate reasoning on these kinds of puzzles only to add it later. $\endgroup$ – user71727 Dec 4 '20 at 16:43

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