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A bicolour masyu

A Total Masyu puzzleThe Ludicrous Loop: over a thousand cells of circular logic!A problem about Yin-Yang puzzlesMasyu jigsaw puzzleStatue Park (Loop)Masyu puzzles with many circles3D nonogram – What's going on?3D nonogram – What's in the box?I'm Bad at Naming Things, so Just Try to Solve this Patterned Masyu Puzzle!Masyu-making game

.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;

10

1

$begingroup$

This is a bicolour masyu puzzle. Instead of making one continuous loop, the goal is to make two separate loops, one blue and one red. The coloured circles must be used for the loop of the same colour, whereas black circles can be used for either colour.

grid-deduction

share|improve this question

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  will the two loops intersect?
  $endgroup$
  – Omega Krypton
  10 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Covering all cells is not required in masyu. The two loops can't cross each other.
  $endgroup$
  – jafe
  10 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm glad you made that clear, I misread the linked rules
  $endgroup$
  – micsthepick
  10 hours ago
  

  
  
  
  

add a comment | 

10

1

$begingroup$

This is a bicolour masyu puzzle. Instead of making one continuous loop, the goal is to make two separate loops, one blue and one red. The coloured circles must be used for the loop of the same colour, whereas black circles can be used for either colour.

grid-deduction

share|improve this question

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  will the two loops intersect?
  $endgroup$
  – Omega Krypton
  10 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Covering all cells is not required in masyu. The two loops can't cross each other.
  $endgroup$
  – jafe
  10 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm glad you made that clear, I misread the linked rules
  $endgroup$
  – micsthepick
  10 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

This is a bicolour masyu puzzle. Instead of making one continuous loop, the goal is to make two separate loops, one blue and one red. The coloured circles must be used for the loop of the same colour, whereas black circles can be used for either colour.

grid-deduction

share|improve this question

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

$endgroup$

share|improve this question

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

share|improve this question

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

asked 10 hours ago

jafejafe

33.3k55 gold badges9191 silver badges336336 bronze badges

1 Answer
1

active

oldest

votes

10

$begingroup$

I believe this is the unique solution:

Key steps:

Solid circle near bottom right has to be red because otherwise you can't get the red underneath it out. That rapidly resolves the ambiguous circles over on the right. Then there isn't enough space to connect the blue parts without going around the top left, which tells you which way the "arms" of the solid red circle near the top left go. The rest is straightforward.

My apologies for the inelegance of my diagram; as you may guess, I drew some things in grey before their colours were resolved.

share|improve this answer

edited 9 hours ago

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm afraid you are about a minute late
  $endgroup$
  – micsthepick
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I don't think so. Your latest solution does something illegal on the left hand edge...
  $endgroup$
  – Gareth McCaughan♦
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  BTW, sorry for the sniping. I started solving before I saw there was someone else attacking it...
  $endgroup$
  – Gareth McCaughan♦
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I took a different solve path than @GarethMcCaughan. First, consider the solid circle in row 4 column 7. If it had an arm extending to the right, then a little loop chasing fences the portion of the blue loop near row 6, column 9 in the bottom right corner, forcing it to make contact with the red loop near row 9, column 7. The other key step concerns the configuration of the arms emanating from the solid red circle in row 3, column 3 - only one configuration avoids having the red loop cross the blue loop.
  $endgroup$
  – pre-kidney
  2 hours ago
  
  

  
  
  
  

add a comment | 

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10

$begingroup$

I believe this is the unique solution:

Key steps:

Solid circle near bottom right has to be red because otherwise you can't get the red underneath it out. That rapidly resolves the ambiguous circles over on the right. Then there isn't enough space to connect the blue parts without going around the top left, which tells you which way the "arms" of the solid red circle near the top left go. The rest is straightforward.

My apologies for the inelegance of my diagram; as you may guess, I drew some things in grey before their colours were resolved.

share|improve this answer

edited 9 hours ago

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm afraid you are about a minute late
  $endgroup$
  – micsthepick
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I don't think so. Your latest solution does something illegal on the left hand edge...
  $endgroup$
  – Gareth McCaughan♦
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  BTW, sorry for the sniping. I started solving before I saw there was someone else attacking it...
  $endgroup$
  – Gareth McCaughan♦
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I took a different solve path than @GarethMcCaughan. First, consider the solid circle in row 4 column 7. If it had an arm extending to the right, then a little loop chasing fences the portion of the blue loop near row 6, column 9 in the bottom right corner, forcing it to make contact with the red loop near row 9, column 7. The other key step concerns the configuration of the arms emanating from the solid red circle in row 3, column 3 - only one configuration avoids having the red loop cross the blue loop.
  $endgroup$
  – pre-kidney
  2 hours ago
  
  

  
  
  
  

add a comment | 

10

$begingroup$

I believe this is the unique solution:

Key steps:

Solid circle near bottom right has to be red because otherwise you can't get the red underneath it out. That rapidly resolves the ambiguous circles over on the right. Then there isn't enough space to connect the blue parts without going around the top left, which tells you which way the "arms" of the solid red circle near the top left go. The rest is straightforward.

My apologies for the inelegance of my diagram; as you may guess, I drew some things in grey before their colours were resolved.

share|improve this answer

edited 9 hours ago

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm afraid you are about a minute late
  $endgroup$
  – micsthepick
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I don't think so. Your latest solution does something illegal on the left hand edge...
  $endgroup$
  – Gareth McCaughan♦
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  BTW, sorry for the sniping. I started solving before I saw there was someone else attacking it...
  $endgroup$
  – Gareth McCaughan♦
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I took a different solve path than @GarethMcCaughan. First, consider the solid circle in row 4 column 7. If it had an arm extending to the right, then a little loop chasing fences the portion of the blue loop near row 6, column 9 in the bottom right corner, forcing it to make contact with the red loop near row 9, column 7. The other key step concerns the configuration of the arms emanating from the solid red circle in row 3, column 3 - only one configuration avoids having the red loop cross the blue loop.
  $endgroup$
  – pre-kidney
  2 hours ago
  
  

  
  
  
  

add a comment | 

$begingroup$

I believe this is the unique solution:

Key steps:

Solid circle near bottom right has to be red because otherwise you can't get the red underneath it out. That rapidly resolves the ambiguous circles over on the right. Then there isn't enough space to connect the blue parts without going around the top left, which tells you which way the "arms" of the solid red circle near the top left go. The rest is straightforward.

My apologies for the inelegance of my diagram; as you may guess, I drew some things in grey before their colours were resolved.

share|improve this answer

edited 9 hours ago

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges

$endgroup$

share|improve this answer

edited 9 hours ago

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges

answered 9 hours ago

Gareth McCaughan♦Gareth McCaughan

77.5k33 gold badges194194 silver badges299299 bronze badges