Here is a Windmill WX with a single fish.
So in order to solve it (298 cells to solve), you need
- box-line reduction and/or pointing pairs
- naked/hidden pairs/triples
- X-Wing (only one small fish swimming around)
Picture of Windmill WX (5 x Windoku & Diagonals)
- WindMill_WX_Fish.PNG (40.27 KiB) Viewed 2922 times
Picture with pencil marks:
- WindMill_WX_Fish_PM.PNG (103.29 KiB) Viewed 2922 times
Line format
- Code: Select all
#5//E7,xw/N13,xw/H19,xw/B25,xw/K31,xw
000000041000000000000000006900000600000000030001000000000000000000000000090000000
000400000000000000820000000000000800000000000000000000000090050000000000000300700
000000000000000000000000000000000000000000000000000000000000000000000000000000000
000400000000000000050000000000010000900000000600000000002006000000000400035701000
000000800000000000000000000000010000000000000001000000000000070000000010009500000
Delete the first line, if not using the SiSeSuSo Excels
A possible journey to the solution
- Code: Select all
Step Solu.Nr Grid Row Col Value Why
1 1 2 2 4 8 row
1 2 4 4 1 5 column
1 3 5 7 1 1 row
1 4 5 9 6 1 box
2 5 5 5 9 1 row
3 6 5 3 7 1 diagonal
4 7 3 7 5 1 box
4 8 5 2 4 1 row
5 9 1 4 8 1 column
5 10 3 9 7 8 column
6 11 3 8 4 8 box
7 12 3 7 1 8 row
box <-> columns/rows | 1b7c1 on candidate 1 | 2c1b1 on candidate 1 | 3b2c4 on candidate 1 | 3b2c5 on candidate 6 | 3r6b4 on candidate 1 | D nw-se 3b1 on candidate 1 | 3c8b9 on candidate 2 | 3c1b1 on candidate 4 | 3r3b3 on candidate 9 | 3c7b6 on candidate 9 | 4b3r3 on candidate 1 | 4b3c8 on candidate 1 | 4b6r6 on candidate 1 | 4b4c2 on candidate 2 | 4b4c3 on candidate 3 | 4b8c5 on candidate 4 | 4r1b1 on candidate 1 | D ne-sw 4b7 on candidate 1 | D nw-se 4b1 on candidate 4 | 4r9b9 on candidate 9 | 5b2c5 on candidate 2 | 5b9c9 on candidate 8
8 13 1 5 4 1 Wbox7
8 14 2 9 1 9 box
8 15 3 6 2 1 row
8 16 3 9 1 1 column
8 17 4 2 4 1 row
8 18 4 1 1 1 column
8 19 4 8 2 1 box
9 20 1 9 6 1 column
9 21 3 5 6 1 column
9 22 3 1 4 1 Wbox7
9 23 4 5 3 1 row
9 24 4 7 9 1 row
9 25 4 8 3 6 row
10 26 1 2 5 1 row
10 27 1 8 1 1 row
10 28 1 3 2 1 column
10 29 2 7 2 1 column
10 30 2 5 3 1 box
10 31 4 7 2 9 box
11 32 4 1 3 9 Wbox7
box <-> columns/rows | 1b8c4 on candidate 4 | 2b4r6 on candidate 9 | 3b4r5 on candidate 9 | 4b7c1 on candidate 7 | 4b7c1 on candidate 8 | 4b3r2 on candidate 9 | D nw-se 4b5 on candidate 9 | D ne-sw 4b3 on candidate 9
12 33 3 5 2 9 row
12 34 4 9 7 9 column
13 35 3 7 3 9 box
13 36 4 6 6 9 row
13 37 4 8 5 9 Wbox6
14 38 4 3 4 9 row
box <-> columns/rows | 1b8c4 on candidate 9 | 3b4c3 on candidate 4 | 3b8c5 on candidate 9 | 3c6b2 on candidate 9 | 4b2c5 on candidate 6 | 4c4b5 on candidate 2 | 4r6b4 on candidate 4 | D ne-sw 4b3 on candidate 6 | 5b1c2 on candidate 9 | 5r1b3 on candidate 9
15 39 3 4 4 9 row
16 40 1 7 9 9 row
16 41 1 8 4 9 column
16 42 3 2 4 4 Wbox1
16 43 3 9 5 9 Wbox9
17 44 2 6 2 9 row
17 45 3 8 9 9 row
17 46 3 5 3 4 Wbox7
18 47 4 3 3 4 row
18 48 4 6 2 4 column
19 49 4 3 5 8 row
19 50 4 6 3 7 Wbox3
20 51 4 2 3 8 single
20 52 4 4 2 2 single
20 53 4 4 3 3 single
20 54 4 3 7 6 row
20 55 4 6 4 8 row
20 56 4 2 2 7 column
20 57 4 5 2 8 box
20 58 4 2 5 6 Wbox5
21 59 3 4 2 8 box
21 60 4 1 2 6 single
21 61 4 4 4 6 single
21 62 4 9 1 4 single
21 63 4 5 4 2 column
21 64 4 1 5 7 column
21 65 4 8 6 8 column
21 66 4 7 8 7 Wbox4
21 67 4 3 9 7 Wbox5
21 68 4 9 9 8 Wbox9
22 69 1 7 6 8 box
22 70 3 7 2 4 single
22 71 3 8 1 7 box
22 72 4 4 6 7 single
22 73 4 7 1 8 single
22 74 4 8 1 7 single
22 75 4 9 5 2 single
22 76 4 7 5 4 row
22 77 4 9 8 6 row
22 78 4 5 6 4 column
22 79 4 5 9 6 column
22 80 4 8 8 2 diagonal
23 81 3 9 3 2 box
box <-> columns/rows | 1b9c9 on candidate 3 | 1b8c5 on candidate 6 | 1b8c5 on candidate 7 | 2b7r7 on candidate 4 | 3b4c1 on candidate 2 | 3b2c6 on candidate 3 | 3b7c2 on candidate 3 | 3b6r4 on candidate 4 | 3b7c2 on candidate 5 | 3r6b5 on candidate 3 | D ne-sw 3b3 on candidate 4 | 5r3b3 on candidate 2 | 5r1b3 on candidate 4 | 5r2b3 on candidate 6 | 5r2b3 on candidate 7
24 82 2 2 2 4 column
24 83 2 7 3 4 Wbox3
25 84 1 7 4 4 column
25 85 2 6 1 4 column
26 86 3 6 5 4 row
26 87 3 9 8 4 column
26 88 3 8 6 4 Wbox4
27 89 3 6 4 3 row
27 90 3 8 5 3 column
28 91 3 7 9 5 single
28 92 3 8 2 5 single
28 93 3 8 8 2 row
28 94 3 9 2 3 column
28 95 3 7 4 2 Wbox3
28 96 3 6 9 2 Wbox6
28 97 4 5 5 3 row
29 98 1 9 5 2 box
29 99 3 4 3 5 single
29 100 3 5 1 2 row
29 101 3 2 3 3 column
29 102 3 4 6 2 diagonal
29 103 3 7 7 3 diagonal
29 104 3 6 6 5 diagonal
29 105 3 1 7 2 Wbox8
29 106 4 6 5 5 single
29 107 4 7 7 5 single
29 108 4 7 4 3 row
29 109 4 2 6 5 column
29 110 4 8 9 3 column
29 111 5 3 8 2 row
30 112 1 9 4 5 single
30 113 1 9 7 7 single
30 114 1 9 9 3 column
30 115 1 8 8 2 box
30 116 2 9 2 8 single
30 117 3 4 1 3 single
30 118 3 4 5 7 single
30 119 3 1 8 3 row
30 120 3 4 7 6 row
30 121 3 9 4 5 row
30 122 3 5 4 6 box
30 123 3 5 5 8 box
30 124 3 2 2 6 Wbox1
30 125 3 2 7 5 Wbox2
30 126 3 5 9 3 Wbox9
30 127 3 1 5 5 Wbox9
30 128 4 2 1 3 single
30 129 4 3 6 3 single
30 130 4 8 4 5 single
30 131 4 1 6 2 row
30 132 4 3 1 2 row
30 133 5 3 9 3 row
31 134 1 6 7 9 single
31 135 1 7 5 7 single
31 136 1 8 9 8 single
31 137 1 9 8 6 single
31 138 1 6 6 6 Wbox4
31 139 2 5 2 7 single
31 140 2 8 1 7 single
31 141 2 9 6 5 row
31 142 2 1 2 6 column
31 143 2 6 3 8 column
31 144 2 8 2 5 box
31 145 3 9 9 7 single
31 146 3 1 9 6 row
31 147 3 9 6 6 row
31 148 3 7 8 6 column
31 149 5 5 5 5 row
32 150 1 6 8 7 single
32 151 1 5 1 6 column
32 152 1 5 7 8 box
32 153 1 7 3 6 diagonal
32 154 2 5 4 9 single
32 155 2 1 3 5 row
32 156 2 2 7 5 column
32 157 3 7 6 7 single
32 158 5 2 8 6 single
32 159 5 4 4 7 single
32 160 5 2 7 5 row
32 161 5 2 9 7 row
32 162 5 5 7 7 column
32 163 5 7 7 9 diagonal
33 164 1 2 4 6 row
33 165 1 1 2 6 column
33 166 1 2 9 7 column
33 167 1 1 1 7 Wbox9
33 168 2 4 4 5 diagonal
33 169 5 6 8 5 column
34 170 1 4 4 8 single
34 171 1 3 4 7 column
34 172 1 4 6 7 box
34 173 2 3 5 5 row
34 174 2 6 9 5 row
34 175 2 3 4 1 column
34 176 5 4 8 8 column
35 177 1 8 2 5 single
35 178 1 6 2 8 row
35 179 1 8 3 7 row
35 180 1 5 2 7 column
36 181 1 2 2 4 single
36 182 1 3 3 5 diagonal
37 183 1 5 5 9 single
37 184 1 6 1 5 column
37 185 1 2 3 9 column
37 186 1 3 6 4 column
37 187 1 9 1 4 diagonal
38 188 1 2 8 8 single
38 189 1 5 9 5 single
38 190 1 9 3 8 single
38 191 1 1 6 9 row
38 192 1 3 8 9 row
38 193 1 5 3 4 row
38 194 1 1 5 8 Wbox9
39 195 1 3 5 3 single
39 196 1 5 6 2 single
39 197 1 1 7 5 row
39 198 1 3 1 8 row
39 199 1 4 5 5 row
39 200 1 2 6 5 column
40 201 1 1 4 2 single
40 202 1 2 1 2 single
40 203 1 3 7 2 single
40 204 1 6 4 3 single
40 205 1 6 5 4 single
40 206 1 1 3 3 row
40 207 1 2 7 3 row
40 208 1 4 9 4 row
40 209 1 6 9 2 row
40 210 1 7 1 3 column
40 211 1 7 2 2 Wbox3
41 212 1 4 2 3 single
41 213 1 4 3 2 single
box <-> columns/rows | 5b6r6 on candidate 2 | 5b4c1 on candidate 3 | 5b5r5 on candidate 6 | 5b5r6 on candidate 8 | 5b5r6 on candidate 9 | 5r4b4 on candidate 2 | D ne-sw 5b7 on candidate 2 | D ne-sw 5b7 on candidate 7 | D ne-sw 5b7 on candidate 8
42 214 5 5 3 8 single
42 215 5 9 7 2 row
42 216 5 5 4 2 Wbox7
43 217 5 5 2 4 single
43 218 5 5 6 6 row
43 219 5 6 9 2 row
43 220 5 9 2 6 row
43 221 5 8 2 8 column
44 222 5 6 2 7 single
44 223 5 7 2 5 single
44 224 5 8 1 4 single
44 225 5 8 6 2 row
44 226 5 8 5 7 row
44 227 5 4 2 2 column
44 228 5 7 3 2 box
44 229 5 9 1 7 box
45 230 5 4 3 5 single
45 231 5 8 3 3 single
45 232 5 8 9 5 row
45 233 5 8 4 9 row
45 234 5 6 5 9 column
45 235 5 4 6 3 diagonal
46 236 5 4 7 4 single
46 237 5 6 4 4 single
46 238 5 8 7 6 single
46 239 5 6 6 8 row
46 240 5 7 5 3 row
46 241 5 7 4 6 column
46 242 5 6 7 3 column
46 243 5 9 8 3 box
46 244 5 1 9 9 diagonal
47 245 5 1 8 4 single
47 246 5 4 9 6 single
47 247 5 5 1 3 single
47 248 5 5 8 9 single
47 249 5 6 1 6 single
47 250 5 7 6 4 single
47 251 5 7 9 8 single
47 252 5 9 5 8 single
47 253 5 9 9 4 single
47 254 5 4 1 9 row
x-wing or fishes | X-Wing at 2c67r58 on candidate 4
48 255 2 9 5 4 Wbox9
49 256 2 8 7 4 row
49 257 2 5 6 4 column
50 258 2 5 5 8 row
50 259 2 8 8 9 row
50 260 2 1 7 9 column
50 261 2 1 8 8 Wbox8
51 262 2 3 3 7 single
51 263 2 3 6 9 row
51 264 2 4 9 9 row
51 265 2 2 3 9 column
51 266 2 2 5 6 column
51 267 2 6 7 1 column
51 268 2 9 8 1 Wbox8
52 269 2 9 9 6 single
52 270 2 4 8 4 row
52 271 2 8 5 1 row
52 272 2 4 6 1 column
52 273 2 3 9 4 column
52 274 2 1 1 1 diagonal
53 275 2 2 1 3 single
53 276 2 4 5 7 single
53 277 2 2 9 1 row
53 278 2 8 6 6 column
53 279 2 6 4 6 box
53 280 2 6 8 7 box
54 281 2 2 8 2 single
54 282 2 3 7 3 single
54 283 2 8 4 2 single
54 284 2 1 9 7 row
54 285 2 2 6 7 row
54 286 2 3 8 6 row
54 287 2 7 4 7 row
54 288 2 8 9 8 row
54 289 2 7 6 8 column
54 290 2 5 7 6 column
55 291 2 5 8 3 single
55 292 2 7 7 2 single
55 293 2 5 9 2 row
55 294 2 7 9 3 row
55 295 2 6 6 3 diagonal
55 296 2 1 6 2 Wbox8
56 297 2 1 5 3 single
56 298 2 6 5 2 single
The final solution
- Code: Select all
#5//E7,xw/N13,xw/H19,xw/B25,xw/K31,xw
763289541249615387815734296932857614674192835581346972326478159157963428498521763
165432987349867521827159364236571849571984632498623175614798253753216498982345716
478159236963428571521763498385972614294681753617345982849217365756834129132596847
169472385378165294254983617523617849981234756647859132892346571716598423435721968
217365849834129567596847123925713486348256791671498352152634978483972615769581234
Creating Fish-puzzles is difficult. Fish is rare.
It took me about 15 attempts before this first fish-puzzle came up, using SiSeSuSo .
(see
http://forum.enjoysudoku.com/sisesuso-simple-serial-sudoku-solver-t35062.html)