Archive for the ‘Balance Loop’ Category:

4-Way Loop by Serkan Yürekli

4-Way Loop by Serkan Yürekli

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Theme: Clue Symmetry and Logic (for TheSubro)

Author/Opus: This is the 158th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: This puzzle combines four loop varieties commonly featured at GMPuzzles: Balance Loop (upper left), Yajilin (upper right), Castle Wall (lower left), and Masyu (lower right).

Draw a single, non-intersecting loop throughout all four quadrants. The loop may enter and exit the different quadrants as many times as needed.

The standard rules for each puzzle type are true for each quadrant, with these additional considerations:

Balance Loop: Use the entire length of segments (including parts of the segments that extend into an adjacent quadrant) when determining the balanced/unbalanced status of a circle clue.

Yajilin: The arrow clues refer only to shaded cells within the Yajilin quadrant. The loop must occupy all cells adjacent to a shaded cell, even in an adjacent quadrant.

Castle Wall: Number clues only apply within the grid and DO NOT include any line segments that cross the bold border with another grid or any segments in other quadrants. (Another way to say this is that the Castle Wall clues refer to the number of thin lines crossed in the lower-left quadrant only.)

Masyu: Normal rules apply for white and black circles, but the path satisfying these rules can extend into an adjacent quadrant. (For example, a white circle can be passed through crossing a quadrant edge, provided it turns immediately on one side of the circle whether the turn is in the Masyu quadrant or in another quadrant.)

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 18:00, Master = 35:00, Expert = 1:10:00

Balance Loop by Bryce Herdt

Balance Loop by Bryce Herdt

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Theme: No Numbers

Author/Opus: This is the 7th puzzle from guest contributor Bryce Herdt.

Rules: Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.
Also, see this example:

Balance Loop by Prasanna Seshadri

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “11,311”.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 4:00, Expert = 8:00

Note: Follow this link for other Balance Loop puzzles and this link for other less common Loop variations.

Masyu or Balance Loop? by Carl Worth

Masyu/Balance Loop by Carl Worth

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Theme: Almost Antisymmetric

Author/Opus: This is the 21st puzzle from our contributing puzzlemaster Carl Worth.

Rules: Combination of Masyu and Balance Loop puzzles. In each horizontal row, all the circles obey the same rules, which are Masyu rules or Balance Loop rules. You must determine what rule applies to each row in order to form the single loop that solves the puzzle.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 7:00, Master = 9:30, Expert = 19:00

Note: Follow this link for other Masyu and Balance Loop puzzles.

Balance Loop by Murat Can Tonta

Balance Loop by Murat Can Tonta

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Theme: All Black

Author/Opus: This is the 57th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.
Also, see this example:

Balance Loop by Prasanna Seshadri

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “11,311”.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 7:00, Expert = 14:00

Note: Follow this link for other Balance Loop puzzles and this link for other less common Loop variations.

Balance Loop by Prasanna Seshadri

Balance Loop by Prasanna Seshadri

PDF

Theme: No Numbers

Author/Opus: This is the 146th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.
Also, see this example:

Balance Loop by Prasanna Seshadri

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “11,311”.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 7:00, Expert = 14:00

Note: Follow this link for other Balance Loop puzzles and this link for other less common Loop variations.

Balance Loop by Prasanna Seshadri

Balance Loop by Prasanna Seshadri

PDF

Theme: Clue Symmetry and Logic (Originally on 2015 Indian Puzzle Championship)

Author/Opus: This is the 94th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.
Also, see this example:

Balance Loop by Prasanna Seshadri

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “11,311”.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 5:00, Expert = 10:00

Note: Follow this link for other less common Loop variations.

Balance Loop by Prasanna Seshadri

Balance Loop by Prasanna Seshadri

PDF

Theme: Clue Symmetry and Logic (Originally on 2015 Indian Puzzle Championship)

Author/Opus: This is the 92nd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.
Also, see this example:

Balance Loop by Prasanna Seshadri

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “11,311”.

Time Standards (highlight to view): Grandmaster = 1:00, Master = 1:45, Expert = 3:30

Note: Follow this link for other less common Loop variations.