open windows windoku

For fans of Killer Sudoku, Samurai Sudoku and other variants

open windows windoku

Postby urhegyi » Sat Nov 13, 2021 2:01 pm

Here Mike Metcalf has pointed my attention on a concept he has developed with x-windoku that doesn't contain clues in the windoku windows.
http://forum.enjoysudoku.com/x-windoku-windows-closed-windows-open-t39319.html
I tried to do the same but then without diagonals.
My first attempt:
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Re: open windows windoku

Postby m_b_metcalf » Sat Nov 13, 2021 6:49 pm

Nice puzzle, and minimal too.

Regards,

Mike

P.S. As always, a text version is appreciated.
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Re: open windows windoku

Postby m_b_metcalf » Wed Nov 17, 2021 1:13 pm

I wondered how few clues it's possible to reach if one gives up on symmetry. My best after a few tries was:

Code: Select all
+---+-----------+---+-----------+---+
| 5 | .   .   9 | 4 | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   .   . | 3 | .   .   . | 2 |
|   |           |   |           |   |
| . | .   .   . | . | .   .   . | . |
|   |           |   |           |   |
| 9 | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   6   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | 5 |
|   |           |   |           |   |
| . | .   .   . | . | .   .   . | . |
|   |           |   |           |   |
| . | .   .   . | 2 | .   .   . | 3 |
+---+-----------+---+-----------+---+
| . | 3   5   . | . | 8   1   . | 7 |
+---+-----------+---+-----------+---+

5..94........3...2.........9..........6..............5.............2...3.35..81.7

Windoku, windows open, hard (SE = 9.2), minimal, 15 clues.
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Re: open windows windoku

Postby urhegyi » Mon Nov 22, 2021 5:01 pm

After the windokus without clues in the windows, now i'm exploring the so called closed windows with no clues outside the 4 windows.
Mike Metcalf already did this with diagonals. Now I found a generating pattern without them.
Examples follow:
Hidden Text: Show
Code: Select all
...........9..8....1.5.6.7...3...2.............5...4...3.1.9.5..6....3........... ED=8.4/1.5/1.5
...........9..4....1.5.6.7...3...2.............5...8...3.1.9.5..6....3........... ED=8.4/1.5/1.5
...........2..8....1.9.5.3...5...6.............6...4...8.5.9.1..3....7........... ED=8.4/2.0/2.0
...........2..8....1.6.5.3...4...6.............5...4...8.1.9.6..3....7........... ED=8.4/1.5/1.5
...........2..8....1.9.5.3...4...6.............7...4...8.5.9.1..3....7........... ED=8.4/1.5/1.5
...........2..8....1.9.5.3...4...2.............9...4...8.6.9.2..3....7........... ED=8.4/1.5/1.5
...........2..8....1.4.5.3...7...9.............1...4...8.6.9.1..3....7........... ED=7.2/1.5/1.5
...........2..8....1.9.5.3...7...9.............9...4...8.2.9.5..3....7........... ED=7.2/1.2/1.2
...........2..8....1.4.5.3...7...2.............5...4...8.1.9.2..3....7........... ED=7.1/1.5/1.5
...........2..8....1.4.5.3...7...1.............9...4...8.6.9.2..3....7........... ED=8.3/1.5/1.5
...........2..8....1.4.5.3...7...1.............6...4...8.1.9.6..3....7........... ED=4.2/1.5/1.5
...........2..8....1.6.5.3...7...1.............6...4...8.1.9.5..3....7........... ED=8.9/1.5/1.5
...........2..8....1.9.5.3...7...1.............6...4...8.2.9.6..3....7........... ED=4.2/1.5/1.5
...........2..8....1.9.5.3...7...6.............6...4...8.1.9.5..3....7........... ED=7.1/1.5/1.5
...........2..4....1.8.5.3...7...6.............6...4...8.1.9.5..3....7........... ED=7.2/1.5/1.5
...........6..7....4.3.1.9...8...5.............5...2...1.7.9.4..3....6........... ED=7.1/1.5/1.5
...........6..7....4.3.1.9...8...2.............2...5...1.7.9.4..3....6........... ED=7.1/1.5/1.5
...........6..7....4.3.1.9...8...5.............2...8...1.7.9.4..3....6........... ED=2.3/1.5/1.5
...........6..7....4.3.1.9...8...2.............5...8...1.7.9.4..3....6........... ED=2.3/1.5/1.5
...........1..7....8.3.2.4...5...9.............4...1...7.9.3.5..2....6........... ED=6.8/1.5/1.5
...........1..2....8.3.7.4...5...9.............4...1...7.9.3.5..2....6........... ED=4.4/1.5/1.5
...........1..2....8.3.7.4...5...9.............8...1...7.9.3.5..2....6........... ED=8.5/1.5/1.5
...........1..8....8.3.2.4...5...9.............6...1...7.9.3.2..2....6........... ED=2.8/1.5/1.5
...........1..7....8.3.2.4...5...9.............4...8...7.9.3.2..2....6........... ED=8.3/1.5/1.5
...........1..7....8.3.2.4...5...9.............4...8...7.9.3.1..2....6........... ED=7.1/1.5/1.5
...........1..2....8.3.7.4...5...9.............4...8...7.9.3.1..2....6........... ED=7.1/1.5/1.5
...........1..7....8.3.2.4...5...9.............6...5...7.9.3.8..2....6........... ED=8.3/1.5/1.5
...........1..5....8.3.7.4...5...9.............4...2...7.9.1.8..2....6........... ED=9.0/1.5/1.5
...........1..2....8.3.7.4...5...9.............4...8...7.9.1.5..2....6........... ED=7.3/1.5/1.5
...........1..2....8.3.7.4...5...9.............4...8...7.9.1.2..2....6........... ED=7.2/1.5/1.5
...........1..8....8.3.7.4...5...9.............4...3...7.9.4.1..2....6........... ED=7.5/1.5/1.5
...........1..7....8.3.2.4...5...9.............4...1...7.9.4.5..2....6........... ED=6.8/1.5/1.5
...........1..5....8.3.2.4...5...9.............4...7...7.9.4.3..2....6........... ED=2.5/1.5/1.5
...........1..7....8.3.2.4...5...9.............4...3...7.9.4.2..2....6........... ED=7.2/1.5/1.5
...........1..5....8.3.1.4...5...9.............4...2...7.9.8.5..2....6........... ED=9.2/2.3/2.3
...........1..2....8.3.7.4...5...9.............4...1...7.9.8.5..2....6........... ED=7.1/1.5/1.5
...........1..7....8.3.2.4...5...9.............3...5...7.9.8.3..2....6........... ED=9.0/1.5/1.5
...........1..7....8.3.1.4...5...9.............6...5...7.9.8.3..2....6........... ED=8.9/1.5/1.5
...........1..7....8.3.2.4...5...9.............3...1...7.9.8.2..2....6........... ED=8.4/1.5/1.5
...........1..8....8.3.7.4...5...9.............4...1...7.9.2.5..2....6........... ED=7.2/1.5/1.5
...........1..8....8.3.7.4...5...9.............4...3...7.9.5.1..2....6........... ED=7.5/1.5/1.5
...........1..7....8.3.2.4...5...9.............4...8...7.9.5.1..2....6........... ED=4.2/1.5/1.5
...........2..5....9.4.8.7...3...4.............6...9...8.7.2.5..5....3........... ED=2.0/1.5/1.5
...........2..5....1.4.8.7...7...4.............6...9...8.7.2.5..5....3........... ED=2.8/1.5/1.5
...........2..5....9.4.8.7...3...1.............6...9...8.1.2.5..5....3........... ED=4.2/1.5/1.5
...........2..5....3.4.8.7...5...1.............6...9...8.7.2.6..5....3........... ED=7.1/1.5/1.5
...........2..5....9.4.8.7...3...1.............6...9...8.1.2.6..5....3........... ED=4.2/1.5/1.5
...........2..5....9.4.8.7...3...1.............6...9...8.9.2.6..5....3........... ED=4.2/1.5/1.5
...........2..5....1.4.8.7...3...1.............6...9...8.1.2.6..5....3........... ED=6.6/1.5/1.5
...........2..5....9.4.8.7...1...4.............6...9...8.7.2.6..5....3........... ED=7.2/1.5/1.5
...........2..5....6.4.8.7...1...4.............6...9...8.7.2.6..5....3........... ED=7.1/1.5/1.5
...........2..5....3.4.8.7...9...4.............6...9...8.9.2.6..5....3........... ED=7.2/1.5/1.5
...........2..5....1.4.8.7...5...4.............6...9...8.7.2.6..5....3........... ED=8.2/1.5/1.5
...........2..5....3.4.8.7...5...4.............6...9...8.7.2.6..5....3........... ED=7.2/1.5/1.5
...........7..4....6.2.9.8...4...1.............9...7...1.5.3.6..8....2........... ED=2.0/1.5/1.5
...........7..5....6.2.7.8...4...1.............3...4...1.5.3.9..8....2........... ED=9.4/1.5/1.5
...........7..9....6.2.8.7...4...1.............3...7...1.5.3.4..8....2........... ED=7.1/1.5/1.5
...........8..2....9.4.5.1...6...3.............4...9...1.7.3.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.4.5.1...6...7.............4...9...2.7.1.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.4.5.1...2...7.............3...9...1.7.3.8..5....6........... ED=2.5/1.5/1.5
...........8..2....9.4.5.1...1...7.............3...9...2.7.1.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.4.5.1...6...7.............3...9...2.7.1.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.4.5.1...1...7.............3...9...2.7.4.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.4.5.1...3...7.............1...9...2.7.3.8..5....6........... ED=4.2/1.5/1.5
...........8..2....9.4.5.1...3...7.............1...9...2.7.4.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.4.5.1...6...4.............4...9...2.7.1.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.4.5.1...6...4.............4...9...2.7.3.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.3.5.1...6...3.............3...9...2.7.1.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.3.5.1...6...3.............3...9...2.7.4.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.3.5.1...4...7.............1...9...2.7.4.8..5....6........... ED=4.2/1.5/1.5
...........8..2....9.3.5.1...4...7.............1...9...2.7.3.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.3.5.1...1...7.............4...9...2.7.1.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.3.5.1...6...7.............4...9...2.7.1.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.3.5.1...1...7.............4...9...2.7.3.8..5....6........... ED=7.1/1.5/1.5
...........8..2....9.3.5.1...2...7.............4...9...1.7.4.8..5....6........... ED=2.5/1.5/1.5
...........8..2....9.3.5.1...6...7.............3...9...2.7.1.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.3.5.1...6...4.............3...9...1.7.4.8..5....6........... ED=7.2/1.5/1.5
...........8..2....9.3.5.1...5...7.............2...9...4.7.3.8..1....6........... ED=7.2/1.5/1.5
...........8..2....9.3.5.1...6...3.............3...9...2.7.3.8..1....6........... ED=8.3/1.2/1.2
...........8..2....9.4.5.1...5...7.............2...9...3.7.4.8..1....6........... ED=7.2/1.5/1.5
...........8..2....9.4.5.1...6...4.............4...9...2.7.4.8..1....6........... ED=8.3/1.2/1.2
...........8..2....9.4.5.1...6...7.............5...9...2.7.3.8..4....6........... ED=9.0/1.5/1.5
...........2..8....3.1.6.2...4...5.............3...1...6.9.7.3..2....4........... ED=7.7/1.5/1.5
...........2..8....3.1.6.2...4...9.............3...1...6.5.7.3..2....4........... ED=7.7/1.5/1.5
...........2..8....3.1.6.9...4...2.............3...1...6.8.7.3..2....4........... ED=8.3/1.5/1.5
...........2..8....3.1.6.5...4...2.............3...1...6.8.7.3..2....4........... ED=8.3/1.5/1.5
...........2..6....3.1.8.2...4...9.............3...1...6.5.7.3..2....4........... ED=8.5/1.5/1.5
...........2..6....3.1.5.2...4...9.............3...1...6.8.7.3..2....4........... ED=8.5/1.5/1.5
...........2..6....3.1.5.2...4...8.............3...1...6.9.7.3..2....4........... ED=8.5/1.5/1.5
...........2..6....3.1.9.2...4...8.............3...1...6.5.7.3..2....4........... ED=8.5/1.5/1.5
...........2..6....3.1.9.5...4...7.............3...1...6.8.7.3..2....4........... ED=9.0/1.5/1.5
...........2..6....3.1.9.8...4...7.............3...1...6.5.7.3..2....4........... ED=9.0/1.5/1.5
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Re: open windows windoku

Postby m_b_metcalf » Mon Nov 22, 2021 6:28 pm

urhegyi wrote:After the windokus without clues in the windows, now i'm exploring the so called closed windows with no clues outside the 4 windows.
Mike Metcalf already did this with diagonals. Now I found a generating pattern without them.

Well done. On a quick test I could find none with fewer clues.

M
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Re: open windows windoku

Postby m_b_metcalf » Wed Nov 24, 2021 10:56 am

Using your solution grids, I found a puzzle with only 15 clues:

Code: Select all
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   2   . | . | .   .   3 | . |
|   |           |   |           |   |
| . | .   5   . | . | 8   6   7 | . |
|   |           |   |           |   |
| . | 7   .   . | . | .   .   2 | . |
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   .   3 | . | .   9   . | . |
|   |           |   |           |   |
| . | .   .   9 | . | .   5   6 | . |
|   |           |   |           |   |
| . | .   4   1 | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+

Windoku, windows closed, 15 clues, SE 3.4.
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Re: open windows windoku

Postby urhegyi » Wed Nov 24, 2021 11:28 am

Here a few more with 15 clues and closed windows:
Hidden Text: Show
Code: Select all
...........7....9...8..521..4.....8.............8..7.....4..35...19.............. ED=8.5/1.5/1.5
...........7....4...5..821..2.....6.............8..7.....4..35...19.............. ED=4.2/1.5/1.5
...........7....8...3..621..6.....4.............8..7.....4..35...29.............. ED=2.9/1.5/1.5
...........7....9...9..821..8.....4.............8..7.....4..35...29.............. ED=8.3/1.5/1.5
...........7....9...4..521..8.....4.............8..7.....4..35...19.............. ED=8.9/1.5/1.5
...........7....9...4..521..8.....6.............8..7.....4..35...19.............. ED=7.4/1.5/1.5
...........7....9...9..521..1.....6.............8..7.....4..35...19.............. ED=8.3/1.5/1.5
...........7....4...4..521..1.....9.............8..7.....4..35...39.............. ED=4.5/1.5/1.5
...........7....9...5..821..1.....4.............8..7.....4..35...29.............. ED=7.1/1.5/1.5
...........7....8...5..321..1.....6.............8..7.....4..35...39.............. ED=2.9/1.5/1.5
...........7....9...4..526..8.....1.............8..7.....4..35...69.............. ED=7.4/1.5/1.5
...........7....9...4..526..8.....4.............8..7.....4..35...69.............. ED=8.9/1.5/1.5
...........7....9...9..826..8.....4.............8..7.....4..35...29.............. ED=8.3/1.5/1.5
...........7....8...3..126..1.....4.............8..7.....4..35...29.............. ED=2.9/1.5/1.5
...........7....9...5..826..6.....4.............8..7.....4..35...29.............. ED=7.1/1.5/1.5
...........7....8...5..326..6.....1.............8..7.....4..35...39.............. ED=2.9/1.5/1.5
...........7....4...4..526..6.....9.............8..7.....4..35...39.............. ED=4.5/1.5/1.5
...........7....9...9..526..6.....1.............8..7.....4..35...69.............. ED=8.3/1.5/1.5
...........7....4...5..826..2.....1.............8..7.....4..35...69.............. ED=4.2/1.5/1.5
...........7....9...8..526..4.....8.............8..7.....4..35...69.............. ED=8.5/1.5/1.5
...........1....2...8..415..7.....8.............6..9.....8..26...35.............. ED=9.2/1.5/1.5
...........1....2...8..715..4.....8.............6..9.....8..26...35.............. ED=9.2/1.5/1.5
...........9....3...8..715..1.....8.............6..9.....8..26...35.............. ED=3.0/1.5/1.5
...........9....4...8..715..1.....8.............6..9.....8..26...35.............. ED=6.7/1.5/1.5
...........9....7...8..415..1.....8.............6..9.....8..26...35.............. ED=6.7/1.5/1.5
...........9....3...8..415..1.....8.............6..9.....8..26...35.............. ED=3.0/1.5/1.5
...........4....8...9..642..1.....7.............5..1.....7..65...32.............. ED=7.2/1.5/1.5
...........1....9...2..853..5.....2.............6..7.....7..84...59.............. ED=8.3/1.5/1.5
...........1....2...4..863..3.....9.............6..7.....2..84...59.............. ED=2.9/1.5/1.5
...........1....5...4..863..7.....2.............6..7.....3..84...59.............. ED=7.2/1.5/1.5
...........1....5...2..863..7.....2.............6..7.....3..84...59.............. ED=2.9/1.5/1.5
...........1....5...2..893..7.....2.............6..7.....3..84...59.............. ED=2.9/1.5/1.5
...........1....6...4..823..2.....9.............6..7.....3..84...59.............. ED=2.9/1.5/1.5
...........1....9...9..823..8.....5.............6..7.....1..64...59.............. ED=7.2/1.5/1.5
...........1....9...9..843..3.....5.............6..7.....1..64...59.............. ED=7.2/1.5/1.5
...........1....9...9..843..3.....1.............6..7.....1..64...59.............. ED=8.4/1.5/1.5
...........1....2...2..843..8.....9.............6..7.....7..64...59.............. ED=7.1/1.5/1.5
...........1....9...7..853..5.....1.............6..7.....2..64...59.............. ED=7.2/1.5/1.5
...........1....9...7..853..5.....2.............6..7.....2..64...59.............. ED=2.0/1.5/1.5
...........1....5...4..823..2.....9.............6..7.....3..94...59.............. ED=2.9/1.5/1.5
...........1....6...4..823..2.....9.............6..7.....3..94...59.............. ED=2.9/1.5/1.5
...........1....6...4..853..3.....9.............6..7.....8..94...59.............. ED=7.2/1.5/1.5
...........1....5...4..863..8.....2.............6..7.....2..94...59.............. ED=2.9/1.5/1.5
...........1....9...7..823..3.....1.............6..7.....1..54...59.............. ED=9.0/1.5/1.5
...........1....9...2..863..3.....1.............6..7.....1..54...59.............. ED=7.2/1.5/1.5
...........1....6...7..813..3.....2.............6..7.....8..54...59.............. ED=2.9/1.5/1.5
...........1....9...9..843..7.....1.............6..7.....3..54...59.............. ED=7.4/1.5/1.5
...........1....9...9..843..3.....1.............6..7.....7..54...59.............. ED=9.1/1.5/1.5
...........1....2...2..843..3.....9.............6..7.....8..14...59.............. ED=2.9/1.5/1.5
...........1....9...2..853..3.....2.............6..7.....8..14...59.............. ED=2.9/1.5/1.5
...........1....6...2..853..8.....2.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....2...2..853..8.....9.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....5...2..893..8.....6.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....5...2..893..8.....2.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....5...2..843..8.....6.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....5...2..843..8.....2.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....6...2..843..8.....2.............6..7.....3..14...59.............. ED=2.9/1.5/1.5
...........1....2...2..843..6.....5.............6..7.....7..14...59.............. ED=7.2/1.5/1.5
...........1....5...2..843..6.....2.............6..7.....7..14...59.............. ED=7.2/1.5/1.5
...........1....9...9..863..3.....5.............6..7.....1..24...59.............. ED=2.0/1.5/1.5
...........1....9...9..843..3.....1.............6..7.....1..24...59.............. ED=8.4/1.5/1.5
...........1....6...2..843..3.....1.............6..7.....7..24...59.............. ED=3.4/1.5/1.5
...........1....6...2..853..3.....1.............6..7.....7..24...59.............. ED=2.9/1.5/1.5
...........1....9...7..853..5.....1.............6..7.....3..24...59.............. ED=7.2/1.5/1.5
...........3....2...7..981..4.....6.............9..5.....7..38...51.............. ED=8.3/1.5/1.5
...........3....2...7..961..4.....8.............9..5.....7..36...51.............. ED=8.3/1.5/1.5
...........3....6...7..921..4.....8.............9..5.....7..32...51.............. ED=8.3/1.5/1.5
...........3....6...7..981..4.....2.............9..5.....7..38...51.............. ED=8.3/1.5/1.5
...........3....8...7..921..4.....6.............9..5.....7..32...51.............. ED=8.3/1.5/1.5
...........3....8...7..961..4.....2.............9..5.....7..36...51.............. ED=8.3/1.5/1.5
...........3....5...8..961..4.....7.............9..4.....7..92...51.............. ED=8.4/1.5/1.5
...........3....5...8..921..4.....3.............9..8.....7..62...51.............. ED=2.0/1.5/1.5
...........3....5...8..921..4.....7.............9..4.....7..96...51.............. ED=8.4/1.5/1.5
...........3....5...8..961..4.....3.............9..8.....7..26...51.............. ED=2.0/1.5/1.5
...........3....4...8..951..4.....7.............9..6.....7..82...51.............. ED=2.9/1.5/1.5
...........3....4...8..951..4.....7.............9..2.....7..86...51.............. ED=2.9/1.5/1.5
...........3....7...8..951..4.....8.............9..6.....7..32...51.............. ED=2.9/1.5/1.5
...........3....7...8..961..4.....2.............9..3.....7..89...51.............. ED=2.0/1.5/1.5
...........3....7...8..921..4.....6.............9..3.....7..89...51.............. ED=2.0/1.5/1.5
...........3....7...8..951..4.....6.............9..2.....7..39...51.............. ED=4.2/1.5/1.5
...........3....7...8..951..4.....2.............9..6.....7..39...51.............. ED=4.2/1.5/1.5
...........3....7...8..951..4.....8.............9..2.....7..36...51.............. ED=2.9/1.5/1.5
...........3....7...8..951..4.....6.............9..2.....7..83...51.............. ED=2.9/1.5/1.5
...........3....7...8..951..4.....2.............9..6.....7..83...51.............. ED=2.9/1.5/1.5
...........3....8...8..921..4.....5.............9..3.....7..62...51.............. ED=2.0/1.5/1.5
...........3....8...8..961..4.....5.............9..3.....7..26...51.............. ED=2.0/1.5/1.5
...........3....8...8..951..4.....3.............9..6.....7..29...51.............. ED=2.9/1.5/1.5
...........3....8...8..951..4.....2.............9..6.....7..39...51.............. ED=2.9/1.5/1.5
...........3....8...8..951..4.....3.............9..2.....7..69...51.............. ED=2.9/1.5/1.5
...........3....8...8..951..4.....6.............9..2.....7..39...51.............. ED=2.9/1.5/1.5
...........3....6...8..951..4.....7.............9..2.....7..68...51.............. ED=2.9/1.5/1.5
...........3....6...8..951..4.....3.............9..2.....7..68...51.............. ED=2.9/1.5/1.5
...........3....6...8..941..4.....7.............9..6.....7..35...51.............. ED=7.3/1.5/1.5
...........3....2...8..941..4.....7.............9..2.....7..35...51.............. ED=7.3/1.5/1.5
...........3....2...8..951..4.....7.............9..6.....7..28...51.............. ED=2.9/1.5/1.5
...........3....2...8..951..4.....3.............9..6.....7..28...51.............. ED=2.9/1.5/1.5
...........3....5...6..921..4.....7.............9..4.....7..98...51.............. ED=8.4/1.5/1.5
...........3....5...6..981..4.....3.............9..6.....7..28...51.............. ED=2.0/1.5/1.5
...........3....5...6..921..4.....3.............9..6.....7..82...51.............. ED=2.0/1.5/1.5
...........3....5...6..981..4.....7.............9..4.....7..92...51.............. ED=8.4/1.5/1.5

One of them is equivalent to yours:
Code: Select all
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   1   . | . | .   .   6 | . |
|   |           |   |           |   |
| . | .   2   . | . | 8   4   3 | . |
|   |           |   |           |   |
| . | 3   .   . | . | .   .   1 | . |
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   .   6 | . | .   7   . | . |
|   |           |   |           |   |
| . | .   .   7 | . | .   2   4 | . |
|   |           |   |           |   |
| . | .   5   9 | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+

...........1....6...2..843..3.....1.............6..7.....7..24...59..............

Windoku, windows closed, 15 clues, SE 3.4.

And a few with only 14 clues and closed windows:
Code: Select all
...........5....6...3..974..8...................4..5.....2..19...76.............. ED=8.3/1.5/1.5
...........9....8...1..964..2...................3..7.....8..31...64.............. ED=2.9/1.5/1.5
...........4....8...1..964..2...................3..7.....8..91...65.............. ED=2.9/1.5/1.5
...........2....8...1..954..5...................3..7.....8..13...64.............. ED=7.2/1.5/1.5
...........2....8...1..964..5...................3..7.....8..23...64.............. ED=2.9/1.5/1.5
...........1....4...5..936..6...................8..5.....2..89...74.............. ED=7.1/1.5/1.5
...........3....1...4..352..9...................1..6.....2..14...57.............. ED=2.9/1.5/1.5
...........3....1...4..952..9...................8..6.....2..13...57.............. ED=2.9/1.5/1.5
...........3....7...4..592..9...................2..6.....8..13...57.............. ED=2.9/1.5/1.5
...........9....4...1..385..8...................6..7.....4..69...25.............. ED=7.1/1.5/1.5
...........9....6...1..385..8...................6..7.....4..69...25.............. ED=8.3/1.5/1.5
...........9....8...6..325..8...................5..7.....4..63...21.............. ED=4.2/1.5/1.5
...........9....6...1..325..8...................3..7.....4..69...25.............. ED=2.9/1.5/1.5
...........9....8...1..325..8...................6..7.....4..69...25.............. ED=2.9/1.5/1.5
...........9....1...6..325..8...................1..7.....4..63...25.............. ED=2.9/1.5/1.5
...........4....1...8..273..3...................7..5.....9..42...26.............. ED=2.9/1.5/1.5
...........7....4...9..825..6...................2..1.....5..72...34.............. ED=2.9/1.5/1.5
urhegyi
 
Posts: 612
Joined: 13 April 2020

Re: open windows windoku

Postby m_b_metcalf » Fri Mar 04, 2022 9:46 am

urhegyi wrote:And a few with only 14 clues and closed windows:

14-clue open-windows windokus also exist:
Code: Select all
+---+-----------+---+-----------+---+
| . | 2   .   . | . | .   .   8 | . |
+---+-----------+---+-----------+---+
| . | .   .   . | . | .   .   . | 6 |
|   |           |   |           |   |
| . | .   .   . | 3 | .   .   . | 5 |
|   |           |   |           |   |
| . | .   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| . | 6   .   . | . | .   .   . | . |
+---+-----------+---+-----------+---+
| 8 | .   .   . | . | .   .   . | . |
|   |           |   |           |   |
| . | .   .   . | 2 | .   .   . | . |
|   |           |   |           |   |
| 5 | .   .   . | 1 | .   .   . | . |
+---+-----------+---+-----------+---+
| 7 | .   .   . | . | 4   .   3 | 8 |
+---+-----------+---+-----------+---+   windoku, open windows, 14 clues

.2.....8.........6....3...5..........6.......8............2....5...1....7....4.38  14 clues, ED=1.7/1.2/1.2


..34.........8...6.................1....4..528............2....5.........19....3.  14 clues, ED=2.0/1.5/1.5
1...2..345............3...............6..7.58........7.................1..2.6....  14 clues, ED=2.0/1.2/1.2
..1.....2.............3...4..........5.6.2.7..........8...1.............6..8..3.7  14 clues, ED=5.7/1.2/1.2

And here are some other open- or closed-windows puzzles picked up along the way:
Hidden Text: Show
Code: Select all
windoku, open windows:

1.....2..3.......4.............1...5.5......67...3...8....9...2..........4....9..   ED=1.5/1.2/1.2   15 clues
.1.2..3..2...4.................5....6.7....1.....7....5...2..................6.83   ED=1.9/1.5/1.5   
......1.2.........1...3..............4.256.7..........2...1....8..........3.9...7   ED=2.0/1.2/1.2   
.1...........1....2.................345..16..6...7.................8...4...3...87   ED=2.0/1.5/1.5   
.1.....234...5.................6.....7...34..........25.......8..........2.97....   ED=2.5/1.2/1.2   
.....12..3............4...5........6.78.9.............6...7...4........8.9.....6.   ED=2.5/1.5/1.5   
..12..3......4...5.............3....15..2..6.....7...1........36..............8..   ED=2.9/1.2/1.2   
....12.3.....3...4.........1........2.5....6.....5...78.......9...........9.....5   ED=2.9/1.5/1.5   
..1.2.3..4.......5........67............3.4...................38.......9.5.8.9...   ED=4.0/1.5/1.5   
1.2...3......4........5....6.........5....78..............8...3........18.3....5.   ED=4.1/1.2/1.2   
..1....2.....3.............2...4.....4..5.1.6........75...8...............8...3.9   ED=4.3/1.2/1.2   
.123...4.....4....5........6..........4....7..............3....7.......28.6....1.   ED=5.5/1.2/1.2   
.......123...4...5...................1678.35..........4...2...7........6.........   ED=5.7/1.2/1.2   
.1...23......4...5.........6...7....2.....5.3....8....1.......6..........9....4..   ED=7.2/1.7/1.7   
1..23.............4...5...............6..7.2..............4....6...8...1..3.6.9..   ED=7.5/1.5/1.5   
1..2.....2........3...4...5....1......6...7...................4....8....9.7...5.2   ED=8.3/1.5/1.5   
...12.3......3...45.......6...........6.....7.........8............7...5.3...9.4.   ED=9.0/1.2/1.2


windoku, closed windows:

..........12..3........1.4..5.6...................237....8.......54..6...........   ED=2.9/1.5/1.5   14 clues

..........12..34.......5.6..7..................8....4...49..6.....6..12..........   ED=2.0/1.5/1.5   15 clues
...........1....2..3.4...5..6...7.8............29.1.....4..653...................   ED=3.0/1.5/1.5   
..........1.2.......34.5....6...73.............2....4..7.5.6....8....1...........   ED=3.4/1.5/1.5   
...........1..2....34...56.......1............764.5........83.....5.7............   ED=4.0/1.5/1.5   
...........12......3.4...5...5..67................3.8...2....9...7..1.4..........   ED=6.3/1.5/1.5   
............1.2........3.4..56..78............1.4...9..7...56...2................   ED=6.4/1.5/1.5   
...........1...2...3.2...1....4..56............67.3........8.4..4.....7..........   ED=7.1/1.5/1.5   
..........1.....2..3.4.56........7.............8..2.4..9.....1...6...93..........   ED=7.2/1.5/1.5   
..............1.2...34......56.................7...64..8....7...152.3............   ED=7.3/1.5/1.5   
............1...2..345...6........7...........8.4.6....2...934..6................   ED=7.8/2.3/2.3   
..........123..........45....6...7............2.1...8..3...597..4................   ED=8.4/1.5/1.5   
..........1....2...3....45..5....6..............5...7...89.1......4.3.2..........   ED=8.9/1.5/1.5   
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m_b_metcalf
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