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A Shingoki Puzzle

Puzzling Asked by Alaiko on June 23, 2021

This is a Shingoki puzzle.


Rules of Shingoki:

  • Draw lines between the dots to form a single loop without crossings or branches.
  • The loop should pass through every circled number in the grid.
  • For white circles, the loop must pass through in a straight line.
  • For black circles, the loop must make a 90-degree turn when passing through them.
  • The numbers in the circles show the sum of lengths of the 2 straight lines going out of that circle.

An example is shown below for greater clarity.

Example Puzzle:

Shingoki_example

Shown below is the solution with some explanation:

Shingoki_example_ans

Note how the total length is calculated for the ‘6’ black circle and ‘5’ white circle.


The actual puzzle to solve is shown below:

Shingoki_1

For your convenience, you may use this link, where a version of the puzzle has already been created using the penpa editor. Select "Mode" to be ‘Edge’ to draw the lines.

Good luck and have fun!

2 Answers

The solution is:

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Step 6:

Correct answer by Stiv on June 23, 2021

The best way to solve it would be to start with the circles on the edges.

If a white circle is on an edge you must have that the line passing through it is parallel to the edge.

If a black circle is on an edge you know that a line must go into it perpendicular to edge.

Following this and a bit of deduction you arrive at solution.

Answered by Rom on June 23, 2021

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