## Hearts (for gentlemen only)

Everything about Sudoku that doesn't fit in one of the other sections

### Hearts (for gentlemen only)

Gentlemen,
Valentine's Day is soon upon us and we need to suitably impress the ladies (who may be making similar attempts to impress us). Last year's efforts were very pretty but not too difficult. Can we find an appropriate SE 10+ pearl?

Here are a few first attempts and suggestions.

Regards,

Mike Metcalf

Code: Select all
` . 6 3 . . . 1 7 . 9 . . 1 . 2 . . 3 8 . . . 9 . . . 6 6 . . . 5 . . . 7 7 . . . . . . . 4 SE 8.4 . 9 . . . . . 8 . . . 1 . . . 4 . . . . . 9 . 3 . . . . . . . 4 . . . .`

followed by a 22-clue heart:
Code: Select all
` . 6 7 . . . 1 3 .  3 . . 9 . 5 . . 6 2 . . . 7 . . . 8 8 . . . . . . . 3 1 . . . . . . . 9 . 4 . . . . . 5 . . . 3 . . . 7 . . . . . 8 . 3 . . . easy . . . . 4 . . . .`

and one with 21 clues:
Code: Select all
` . . 5 . . . 7 . . . 9 . 8 . 1 . 5 . 6 . . . 2 . . . 4 3 . . . 7 . . . 2 SE 7.3 2 . . . . . . . 1 . 5 . . . . . 4 . . . 8 . . . 9 . . . . . 4 . 5 . . . . . . . 1 . . . .`

This last one has a possible variant:
Code: Select all
` . . . . . . . . . . x x x . x x x . x . . . x . . . x x . . . x . . . x x . . . . . . . x . x . . . . . x . . . x . . . x . . . . . x . x . . . . . . . x . . . .`

that I haven't been able to find. Similarly for a 20-clue heart:
Code: Select all
` . . x . . . x . .  . x . x . x . x .  x . . . x . . . x  x . . . . . . . x  x . . . . . . . x  . x . . . . . x .  . . x . . . x . .  . . . x . x . . .  . . . . x . . . . `

JPF, where are you?

Of course, hearts are sometimes broken, as in:
Code: Select all
` . 9 7 . . . . 6 .   23 - 3, SE 7.2 3 . . 4 . 2 . . 5 1 . . . 7 . . . . . . . . 9 . . . 2 7 . . . . . . . 8 . 8 . . . . . 3 . . . 5 . . . 9 . . . . . 6 . 7 . . . . . . . 3 . . . .`

or
Code: Select all
` . 6 7 . . . 1 . . . . . 9 . 1 . . 4 5 . . . 7 . . . 8   22 - 2, SE 4.4 4 . . . . . . . 3 1 . . . . . . . 9 . 2 . . . . . 6 . . . 9 . . . 7 . . . . . 3 . 8 . . . . . . . 5 . . . .`

or
Code: Select all
` . . . . . . 6 . .   21 - 1, SE 7.4 . 4 . 9 . 7 . 1 . 1 . . . 3 . . . 8 4 . . . 8 . . . 5 6 . . . . . . . 3 . 1 . . . . . 9 . . . 9 . . . 3 . . . . . 2 . 4 . . . . . . . 7 . . . .`

Also, hearts can be tilted, as in:
Code: Select all
` . . . . 3 . . . . 23-clues, tilted, SE 8.4 . . . 2 . 5 . . . . . 8 . . 4 . . . . 6 . . . 7 5 8 . 1 . . . 6 . . . 3 4 . . . . . . 9 . 3 . . . . . 1 . . 2 . . . . 9 . . . 8 9 5 1 2 . . . .`

and here too there are many variants possible.

m_b_metcalf
2017 Supporter

Posts: 10580
Joined: 15 May 2006
Location: Berlin

m_b_metcalf wrote:JPF, where are you?

Here I am

Code: Select all
` . . . . . . . . . . 3 9 7 . 5 4 2 . 4 . . . 6 . . . 9 1 . . . 8 . . . 6 7 . . . . . . . 2 . 5 . . . . . 9 . . . 8 . . . 1 . . . . . 2 . 3 . . . . . . . 7 . . . .    SE = 7.2`

Code: Select all
` . . 3 . . . 4 . . . 1 . 6 . 2 . 3 . 8 . . . 7 . . . 2 7 . . . . . . . 3 4 . . . . . . . 9 . 2 . . . . . 6 . . . 1 . . . 7 . . . . . 9 . 3 . . . . . . . 2 . . . .   easy`

JPF
JPF
2017 Supporter

Posts: 3861
Joined: 06 December 2005
Location: Paris, France

Pat

Posts: 3880
Joined: 18 July 2005

JPF wrote:
m_b_metcalf wrote:JPF, where are you?

Here I am

Code: Select all
` . . . . . . . . . . 3 9 7 . 5 4 2 . 4 . . . 6 . . . 9 1 . . . 8 . . . 6 7 . . . . . . . 2 . 5 . . . . . 9 . . . 8 . . . 1 . . . . . 2 . 3 . . . . . . . 7 . . . .    SE = 7.2`

JPF

Brilliant! Your 20-clue is unshakable but, with two small changes, the first one can become a broken heart :
Code: Select all
` . . . . . . . . . . 3 9 . . 8 4 2 . 4 . . . 6 . . . 9 1 . . . 8 . . . 6  7 . . . . . . . 2 SE 7.2  . 2 . . . . . 9 . . . 8 . . . 1 . . . . . 2 . 3 . . . . . . . 7 . . . .  `

Congratulations again.

Mike Metcalf

m_b_metcalf
2017 Supporter

Posts: 10580
Joined: 15 May 2006
Location: Berlin

m_b_metcalf wrote:Congratulations...
Thanks Mike.
Here are 2 hearts for the price of one :
Code: Select all
` . 2 . 5 . . . . . 9 . 7 . 1 . . . . 8 . . . 2 . . . . . 5 . 7 . . . . . . . 4 . . 3 . 9 . . . . . 9 . 1 . 8 . . . . 8 . . . 6 . . . . . 4 . 5 . . . . . . . 2 . .    `
SE=6.6

JPF
JPF
2017 Supporter

Posts: 3861
Joined: 06 December 2005
Location: Paris, France

JPF wrote:
m_b_metcalf wrote:Congratulations...
Thanks Mike.
Here are 2 hearts for the price of one :

... and here's my crude rendering of a heart pierced by Cupid's arrow:
Code: Select all
` . . . . . . . 8 4 . . . . . . . 6 9 . . 6 5 . 4 1 . . . 8 . . 7 6 . 5 . . 5 . . 9 . . 3 .     SE 8.5 with or without r2c8 . . 2 . . . 8 . .  . . 4 1 . 9 . . . . 7 . . 8 . . . . 1 . . . . . . . .`

Regards,

Mike Metcalf

m_b_metcalf
2017 Supporter

Posts: 10580
Joined: 15 May 2006
Location: Berlin

19 & missing 9 :

Code: Select all
` . . . . . . . 1 2 . . . . . . . . 3 . . 4 5 . 6 7 . . . 1 . . 2 . . 3 . . 6 . . . . . 8 . . . 5 . . . 4 . . . . . 4 . 5 . . . . 2 . . 7 . . . . 8 . . . . . . . .`

JPF
JPF
2017 Supporter

Posts: 3861
Joined: 06 December 2005
Location: Paris, France

Since most ladies might be in doubt about your love, when you give them an ER 7.2 puzzle, here are some alternatives for this pattern:
Code: Select all
` +-------+-------+-------+ | . . . | . . . | . . . | | . 9 8 | 4 . 7 | 1 3 . | | 6 . . | . 9 . | . . 2 | +-------+-------+-------+ | 2 . . | . 3 . | . . 5 | | 1 . . | . . . | . . 8 | | . 4 . | . . . | . 9 . | +-------+-------+-------+ | . . 6 | . . . | 4 . . | | . . . | 8 . 1 | . . . | | . . . | . 5 . | . . . | +-------+-------+-------+ ER 7.1..........234.798.1...9...66...2...37.......8.1.....5...2...5.....8.3.......1.... ER 6.6..........546.381.7...2...59...4...36.......9.8.....5...3...6.....8.5.......1.... ER 5.6..........172.853.9...5...64...8...33.......9.8.....7...9...8.....7.1.......3.... ER 4.2..........182.467.9...1...46...5...83.......7.5.....4...1...2.....4.8.......9.... ER 2.5..........164.798.7...6...55...9...31.......6.4.....7...9...5.....7.8.......1.... ER 2.3..........749.813.6...4...88...6...32.......1.3.....4...1...5.....4.7.......3.... ER 2.0..........681.543.9...4...73...9...26.......1.5.....7...9...5.....3.6.......7.... ER 1.7..........328.965.1...7...28...4...76.......5.5.....2...4...9.....5.3.......8.... ER 1.5`
ravel

Posts: 998
Joined: 21 February 2006

JPF wrote:
m_b_metcalf wrote:JPF, where are you?

Here I am

Code: Select all
` . . . . . . . . . . 3 9 7 . 5 4 2 . 4 . . . 6 . . . 9 1 . . . 8 . . . 6 7 . . . . . . . 2 . 5 . . . . . 9 . . . 8 . . . 1 . . . . . 2 . 3 . . . . . . . 7 . . . .    SE = 7.2`

JPF

OK, got one myself now :
Code: Select all
` . . . . . . . . . . 3 5 2 . 7 9 6 . 4 . . . 8 . . . 1 8 . . . 7 . . . 3 6 . . . . . . . 9 . 1 . . . . . 2 . . . 2 . . . 7 . . . . . 9 . 1 . . . . . . . 3 . . . .    SE 7.1`

Regards,

Mike Metcalf

m_b_metcalf
2017 Supporter

Posts: 10580
Joined: 15 May 2006
Location: Berlin

Two more with different rating:
Code: Select all
`..........152.789.2...4...71...7...63.......2.8.....1...7...5.....8.9.......1.... ER 4.4..........164.852.9...7...16...9...73.......2.8.....1...7...8.....2.5.......4.... ER 8.5`
ravel

Posts: 998
Joined: 21 February 2006

here's another 6.6
Code: Select all
` . . . | . . . | . . .  . 7 5 | 2 . 6 | 3 9 .  8 . . | . 9 . | . . 1  ------+-------+------  1 . . | . 8 . | . . 5  7 . . | . . . | . . 6  . 9 . | . . . | . 2 .  ------+-------+------  . . 2 | . . . | 6 . .  . . . | 4 . 7 | . . .  . . . | . 3 . | . . . `
ab

Posts: 451
Joined: 06 September 2005

a different heart:
Code: Select all
` . . . | . . . | . . .  . 5 9 | . . . | 6 7 .  3 . . | 1 . 7 | . . 4  ------+-------+------  4 . . | . 2 . | . . 1  8 . . | . . . | . . 3  . 3 . | . . . | . 5 .  ------+-------+------  . . 6 | . . . | 9 . .  . . . | 8 . 3 | . . .  . . . | . 1 . | . . . `
ab

Posts: 451
Joined: 06 September 2005

### re: heart-shaped puzzles

Pat

Posts: 3880
Joined: 18 July 2005