From game #169 this puzzle has some special properties
- Code: Select all
..1...2...3...4.5.6.......7.....5.3.....2.....5.8.9...7.......6.4.5...8...2...1.. ED=9.3/9.3/3.4
Remove the second "5" and UA of size 61 appears
- Code: Select all
59.687.438.721.6.9.2495381.216.459.89783.15644.3.6.721.8513249.1.9.763.236.498.75 #U61
..1...2...3...4.5.6.......7.....5.3.....2.....5.8.9...7.......6.4.5...8...2...1.. #pseudo-puzzle
- *
The UA covers all non-givens but one, marked as "-".
Further, the same pseudo-puzzle has 18 solutions and one more of them has U61 too. It can be covered by "6" from the pattern, but this leaves some other UA unhit.
Below are details for the 18 solutions of the puzzle. The valid solution is #4, other with U61 is #13. Some of the alternatives are completable with a single clue too (but outside of the fixed by game pattern), like sol#1 with additional clue "3" which covers all UA.
- Code: Select all
..1...2...3...4.5.6.......7.......3.....2.....5.8.9...7.......6.4.5...8...2...1.. 19 18 #pattern,nClues,nSolutions
571986243238174659694253817927641538813725964456839721785312496149567382362498175 1 9 #solution,sNumber,nUnavoidables
.....................2.3.................................3.2..................... 4 n
.7.9.6...2.817.....9.2.....9276.15..8137.59....6.3.......31........67............ 27 n
.7.9.6...2.817.....9.253...92764.5..8.3..59....6.3.......31........67......49.... 29 n
5...86.43...1..6.9..4.5381.9.76415.88.37.59644.6.3.721..531249......73.23..498.75 48 y
5...86.43...1..6.9..4.5381.9.76.15.88137..9644.6.3.721.8531249.1.9.673.236.498.75 52 y
5..986.43...1..6.9..4.5381.9..6415.88137.59644.6...721.8531249.1.9.673.236.498.75 53 y
5...86.43...17.6.9..4.5381.9.7.415.8.137.59644.6.3.721.8531249.1.9.673.236.498.75 53 y
5...86.43...1..6.9..4.5381.9.76415.8.137.59644.6.3.721.8531249.1.9.673.236.498.75 53 y
5..986.43...17.6.9..4.5381.9..6415.8.137.59644.6.3.721.8531249.1.9.673.236.498.75 54 y
571986243238174659694352817927641538813725964456839721785213496149567382362498175 2 2 #solution,sNumber,nUnavoidables
.....................3.2.................................2.3..................... 4 n
.7.9.6...2.817.....9..52...92764.5..8.3..59....6.3.......213.......67......49.... 29 n
591687243837214659624395817276451938918723564453869721785132496149576382362948175 3 7 #solution,sNumber,nUnavoidables
.....................395....7.451....1.7.3.................................94.... 12 n
.9.6.7...8.721.....2.395...27645.9..9.8..35....3.6.......13........76......94.... 29 n
.9.6.7...8.721.....2..95...27645.9..9.8..35....3.6.......132.......76......94.... 29 n
5..68..43....1.6.9..439581...64519.891...35644.3.6.721.8513249.1.9.763.236.948.75 52 y
59.687.438.721.6.9.2439581.27.4.19.8..87.35644.3.6.721..513249.....763.23..948.75 54 y
59.687.438.721.6.9.2439581.2764.19.89187..5644.3...721.8513249.1.9.763.236.948.75 59 y
59.687.438.721.6.9.2439581.276..19.89187..5644.3.6.721.8513249.1.9.763.236.948.75 59 y
591687243837214659624953817216745938978321564453869721785132496149576382362498175 4 8 #solution,sNumber,nUnavoidables
.....................953....1.745....7.3.1.................................49.... 12 n
.9.6.7...8.721.....2.9.....2167.59..9783.15....3.6.......13........76............ 27 n
5..687.43....1.6.9..4.5381..167.59.897...15644.3.6.721.8513249.1.9.763.236.498.75 52 y
5..687.43....1.6.9..4.5381..167.59.89..3.15644.3.6.721.8513249.1.9.763.236.498.75 52 y
5..68..43....1.6.9..4.5381..167.59.897.3.15644.3.6.721.8513249.1.9.763.236.498.75 52 y
59.687.438.721.6.9.2495381.21.7459.8.78..15644.3.6.721..513249.....763.23..498.75 55 y
59.687.438.721.6.9.2495381.2167.59.8978..15644.3...721.8513249.1.9.763.236.498.75 59 y
59.687.438.721.6.9.2495381.216.459.89783.15644.3.6.721.8513249.1.9.763.236.498.75 61 y
491753268837264951625981347269147835378625419154839672713498526946512783582376194 5 6 #solution,sNumber,nUnavoidables
...7.3......................6...7....7.6...................................3.6... 8 n
............................6...7...37.6...1.1...3..7......................376... 12 n
.9.7.....8.726.....2.9.....26..4.8..3786..41.1.4.3..7......................37.... 24 n
.9.7.....8.726.....2.9.....26....8..3786..41.1.4.3.67......................37.... 24 n
.9.753...8.72......2.9.....26914...53786.5.191.4.3..7............................ 26 n
4..753.68....6.9.1..5.8134..691.78.53..6.54191.4.3.672.1349852.9.6.127.358.376.94 52 y
491357268837264951625981347279146835368725419154839672713498526946512783582673194 6 9 #solution,sNumber,nUnavoidables
...3.7......................7...6....6.7...................................6.3... 8 n
...3.7..............................3..7...1.1...3..7.......................73... 10 n
.9..57...8.72......2.9.....279.4.8.5..87.54.9............49...................... 21 n
.9..57...8.72......2.9.....27914...53.87.5.191...3..7....49.................73... 27 n
.9.357...8.72......2.9.....279146..53.87.5.191.4.3..7......................6.3... 28 n
.9.357...8.726.....2.981...279.468.53687.54191.4.3..7..1...8...9.6.1.....8.67.... 39 n
4..35..68....6.9.1..598134...91468.536...54191.4.3.672.1349852.9.6.127.358.673.94 52 y
4..35..68....6.9.1..5.8134..791.68.536.7.54191.4.3.672.1349852.9.6.127.358.673.94 52 y
49.357.688.726.9.1.2598134.2791.68.5368...4191.4...672.1349852.9.6.127.358.673.94 58 y
471395268238764951695281347827156439369427815154839672713948526946512783582673194 7 4 #solution,sNumber,nUnavoidables
............76.............................................................67.... 4 n
....................................3....7.1.1...3..7.......................73... 8 n
...39......................8.71.64..3..4.781.1.4.3..7....94................6.3... 20 n
.7..95...2.87......9.2.....827.5.4.9..94.78.5............94...................... 21 n
471395268238674951695281347827156439369427815154839672713948526946512783582763194 8 6 #solution,sNumber,nUnavoidables
............67.............................................................76.... 4 n
.............................7..64..3....7.1.1.4.3.67.......................63... 13 n
...39......................8.71..4..3..4.781.1.4.3..7....94................7.3... 19 n
...395.......................7.56..93.94.7.151.4.3..7....94.................63... 21 n
...39.................81.....7..6...3694.7.1.1.4.3..7..1.948...9.6.1.....8..6.... 25 n
4..395.68...6..9.1..5.8134.8..1564.93694.78151.4...672.1394852.9.6.127.358.763.94 53 y
471935268238674951695218347826157439914326875357849612783491526149562783562783194 9 10 #solution,sNumber,nUnavoidables
....35................18.....6.5...991...6..5..........8...1...1.9.6.....6..83... 19 n
......................18...8.61.74..9143.68............8...1...1.9.6.....6.783... 22 n
...93.................18.....6...4..9143.6.......4.6...8.491...1.9.6.....6..83... 23 n
............67........18...8.61..4..9143.68............8...1...1.9.6.....6.783... 23 n
...93.................18.....6..7...9143.6.7.3.7.4..1..8.491...1.9.6.....6..8.... 25 n
...93.......67........18.....6..7...9143.6.....7.4.....8.491...1.9.6.....6.783... 26 n
.7.935...2.867.....9.218...826.574.99143.68753.7.4..1..8...1...1.9.6.....6.78.... 39 n
4...35.68...6..9.1..5.1834.8.61574.99.43.68753.7.4.612..349152......27.35..783.94 48 y
47.935.682.867.9.1.9521834.82.1.74.9..43.68753.7.4.612..349152.....627.35..783.94 54 y
47.935.682.867.9.1.9521834.82.1574.9.14..68753.7.4.612..349152.....627.35..783.94 55 y
471395268238674951695281347824157639169423875357869412713948526946512783582736194 10 7 #solution,sNumber,nUnavoidables
............67...............4..76.............7.6.4.......................7.6... 10 n
...395.......................4.5...9..94.3..5............94...................... 12 n
.............................4..76..1....3.7.3.7.6.41.......................36... 13 n
...39.......67.............8..1..6..1..4..8......6.4.....94................73.... 16 n
...39......................8..1.76..1..4..8......6.4.....94................736... 16 n
...39.................81.....4...6..1694.3.......6.4...1.948...9.6.1.....8..36... 23 n
47.395.682.867.9.1.9528134.8241.76.91694..8753.7...412.1394852.9.6.127.358.736.94 59 y
471395268238764951695281347127456839869123475354879612713948526946512783582637194 11 7 #solution,sNumber,nUnavoidables
...........................1..4..8..8..1..4...................................... 6 n
...39.......76...............74................4.7.......94................63.... 12 n
...39........................74.6..............4.7.......94................637... 12 n
.7.395...2.87......9.2.....12745...98.91.3..5............94...................... 22 n
.7..95...2.87......9.2.....12745...98.91.3.753...7..1....94.................37... 27 n
4..395.68...76.9.1..5.8134.1..4568.9.691.34753.4.7.612.1394852.9.6.127.358.637.94 54 y
47.395.682.876.9.1.9528134.127..68.98691..4753.4.7.612.1394852.9.6.127.358.637.94 59 y
471395268238764951695281347827156439169423875354879612713948526946512783582637194 12 6 #solution,sNumber,nUnavoidables
...........................8..1..4..1..4..8...................................... 6 n
....................................1....3.7.3...7..1.......................37... 8 n
............76...............7..64.............4.7.6.......................6.7... 10 n
...395.......................7.5...9..94.3..5..4.7.......94...................... 14 n
.7.395...2.87......9.2.....827.5.4.9..94.38.5............94...................... 22 n
...39.......76........81.....7..6...1694.3.....4.7.....1.948...9.6.1.....8.637... 26 n
471935268238674951695281347124756839869123475357849612713498526946512783582367194 13 10 #solution,sNumber,nUnavoidables
............67................7.6...........................................67... 6 n
...93.......67...............47................7.4.......49................36.... 12 n
...93......................1..7.68..8..1..4......4.6.....49................367... 16 n
....35......67.............1.475.8.98.91.34.5..............................36.... 18 n
....35.....................1.47568.98.91.34.5..............................367... 18 n
...93......................1.47..8..8..1.347.3.7.4..1....49................3.7... 19 n
......................81...1.47.68..8691.34............1...8...9.6.1.....8.367... 22 n
.7.935...2.867.....9.2.....12475...98.91.3..5..7.4.........................36.... 25 n
4...35.68...6..9.1..5.8134.1.47568.9.691.34753.7.4.612.1349852.9.6.127.358.367.94 53 y
47.935.682.867.9.1.9528134.124.568.98691.34753.7.4.612.1349852.9.6.127.358.367.94 61 y
471935268238764951695281347124657839869123475357849612713498526946512783582376194 14 11 #solution,sNumber,nUnavoidables
............76................6.7...........................................76... 6 n
...93........................46.7..............7.4.......49................376... 12 n
...93.......76.............1..6..8..8..1..4......4.6.....49................37.... 16 n
....35......76.............1.465.8.98.91.34.5..............................37.... 18 n
....35.....................1.46578.98.91.34.5..............................376... 18 n
...93......................1.46.78..8..1.347.3.7.4..1....49................3.6... 20 n
............76........81...1.46..8..8691.34............1...8...9.6.1.....8.376... 23 n
.7.935...2.87......9.2.....124657..98.91.3..5..7.4.........................376... 26 n
.7.935...2.87......9.2.....12465...98691.3.753.7.4..1............................ 26 n
.7.935...2.87......9.2.....124657..98.91.3.753.7.4..1......................3.6... 28 n
4...35.68...76.9.1..5.8134.1.4.578.9.691.34753.7.4.612.1349852.9.6.127.358.376.94 53 y
471953268238674951695281347829147635164325879357869412713498526946512783582736194 15 6 #solution,sNumber,nUnavoidables
...............................4.6...............6.4............................. 4 n
...953.......................9.4...5..43.5..9............49...................... 12 n
.7.9.....2.867.....9.2.....82...76....4...8....7.6.4.......................7.6... 19 n
.7.9.....2.867.....9.2.....82....6..1643..87.3.7.6.41......................73.... 24 n
4...53.68...6..9.1..5.8134.8.91.76.51643..8793.7.6.412.1349852.9.6.127.358.736.94 52 y
47.953.682.867.9.1.9528134.8291.76.5164..58793.7...412.1349852.9.6.127.358.736.94 59 y
471953268238674951695281347829167435164325879357849612713498526946512783582736194 16 7 #solution,sNumber,nUnavoidables
...............................6.4...............4.6............................. 4 n
............67.................67..........................................7.6... 6 n
....53......67.............8.916.4.51.43.58.9..............................73.... 18 n
....53.....................8.91674.51.43.58.9..............................736... 18 n
....53................81.....9.6...516...5..9..........1...8...9.6.1.....8..36... 19 n
...953.......................9.67..51.43.5.793.7.4..1....49.................36... 21 n
.7.9.....2.867.....9.2.....82..6.4..1643..87.3.7.4..1......................73.... 24 n
471953268238764951695281347829176435164325879357849612713498526946512783582637194 17 5 #solution,sNumber,nUnavoidables
............76.................76..........................................6.7... 6 n
...953.......................9.7...5..43.5..9..7.4.......49...................... 14 n
.7.9.....2.87......9.2.....82..7.4....4...8....7.4............................... 15 n
....53......76.............8.917.4.51.43.58.9..............................63.... 18 n
....53.....................8.91764.51.43.58.9..............................637... 18 n
491753268837264951625981347279146835168325479354879612713498526946512783582637194 18 9 #solution,sNumber,nUnavoidables
...7.3..............................1..3...7.3...7..1.......................37... 10 n
............................7...6...16.3...7.3...7..1......................637... 12 n
.9.7.....8.72......2.9.....27..4.8....8...4....4.7............................... 15 n
.9.7.....8.726.....2.9.....27...68....8...4....4.7.6.......................6.7... 19 n
.9.753...8.72......2.9.....27914...51.83.5..9............49...................... 22 n
.9.753...8.72......2.9.....279.4.8.5..83.54.9............49...................... 22 n
.9.753...8.726.....2.9.....27914...51.83.5..9..4.7.........................63.... 25 n
.9.753...8.72......2.9.....279146..51.83.5..9..4.7.........................637... 26 n
4..753.68....6.9.1..5.8134..791.68.516...54793.4.7.612.1349852.9.6.127.358.637.94 52 y
From the
108 processed puzzles one has U61 at {-1} and 19 have U60. Here the U60 are.
- Code: Select all
..1...2...3...4.5.6.......7.....3.8.....1.....4.8.9...7.......1.8.3...4...2...6.. 20
10 40 49 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.4.....2.....5.8.9...7.......6.4.3...9...2...1.. 20
10 40 12 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.4.....2.....5.8.9...7.......6.4.3...8...2...1.. 20
10 40 11 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.3.....2.....8.9.3...7.......1.4.3...8...2...6.. 20
8 32 3 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.8.....1.....5.8.9...7.......6.8.5...4...2...1.. 20
10 40 57 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.4.....1.....8.4.9...7.......6.4.5...8...2...1.. 20
10 40 38 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....1.8.....2.....4.9.8...7.......1.8.3...4...2...6.. 20
8 32 2 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.4.....1.....5.8.9...2.......6.4.3...9...7...1.. 20
13 50 4 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....1.3.....6.....8.9.7...7.......1.4.3...8...2...6.. 20
12 48 8 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.4.....1.....8.9.5...7.......6.9.8...3...2...1.. 20
13 50 27 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.8.....2.....4.9.3...7.......6.5.8...4...2...1.. 20
10 40 73 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.3.....2.....4.8.9...7.......6.5.3...9...2...1.. 20
10 40 85 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.4.....1.....5.8.9...7.......6.9.5...3...2...1.. 20
10 40 36 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.4.....1.....5.8.9...7.......6.8.5...3...2...1.. 20
10 40 55 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.3.....2.....4.8.9...7.......6.5.9...4...2...1.. 20
10 40 97 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.3.....2.....4.8.9...7.......6.5.3...8...2...1.. 20
10 40 111 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....3.8.....2.....4.5.9...7.......6.5.8...4...2...1.. 20
10 40 49 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....8.4.....2.....4.9.5...2.......1.5.8...3...7...6.. 20
10 40 202 60 #Clue,pos,numUA,maxUAsize
..1...2...3...4.5.6.......7.....5.4.....2.....4.8.9...2.......1.9.5...3...7...6.. 20
10 40 130 60 #Clue,pos,numUA,maxUAsize
Congratulations to
Mike for this challenging pattern!