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Jean-Christophe

Joined: 23 Apr 2007
Posts: 92
Location: Belgium

 Posted: Wed Apr 16, 2008 5:56 am    Post subject: Windoku Killer 3 (WK3) Here is a Windoku Killer. It does not require any hard technique as long as you use the windows and hidden windows. 3x3:2:k:5121:5121:2818:2818:2563:2564:2564:3589:3589:5121:4870:4870:2818:2563:7943:7943:7943:3589:3848:4870:3849:3849:5386:5386:7943:7943:3339:3848:3848:3849:3849:7180:5386:5386:7943:3339:1805:1805:6926:7180:7180:7180:5386:2575:2575:2064:7441:6926:6926:7180:5650:5650:3091:3091:2064:7441:7441:6926:6926:5650:5650:3092:3091:4117:7441:7441:7441:3862:2839:3092:3092:4632:4117:4117:2841:2841:3862:2839:2839:4632:4632: PS: The "2" between "3x3" and "k" in the PS data specifies the windoku as explained by Djape. It is supported by JSudoku, but another soft may not support it. In such a case you may remove this "2" to turn it into regular killer.
Afmob
Expert

Joined: 22 Sep 2007
Posts: 103
Location: MV, Germany

 Posted: Wed Apr 16, 2008 7:30 am    Post subject: This was a fun puzzle, thanks JC! You really had to look at the Windows to crack it. Here are the key points to crack it: 1. Using R234C678 = 45(9) -> Innies C6789 = R5C67 = 13(2) <> 1,2,3 2. Using R678C234 = 45(9) -> Innies C1234 = R5C34 = 13(2) <> 1,2,3 3. Using Innies of C1234 + C6789 -> Innies R5 = R5C5 = 2 Puzzle is cracked though you probably have to use Outies R234C678 = R3C5+R5C7 = 7(2) = [16/34]. Afterwards is solvable without applying Windoku rules. I think it was easily the hardest of all three Windoku Killers.
Nasenbaer
Master

Joined: 20 Jul 2006
Posts: 167
Location: Fellbach (Deutschland)

Posted: Wed Apr 16, 2008 9:58 pm    Post subject:

Nice puzzle, Jean-Christophe, thanks! Not too hard.

Naming for the additional windows corresponds to this:
 Code: 1 2 2 2 1 3 3 3 1 4 6 6 6 4 7 7 7 4 4 6 6 6 4 7 7 7 4 4 6 6 6 4 7 7 7 4 1 2 2 2 1 3 3 3 1 5 8 8 8 5 9 9 9 5 5 8 8 8 5 9 9 9 5 5 8 8 8 5 9 9 9 5 1 2 2 2 1 3 3 3 1

Walkthrough WK 3

1. Preliminaries (and more)
1a. n1: 20(3) = {479|569|578} -> no 1,2,3 ({389} blocked by 19(3))
1b. n1: 19(3) = {469|478|568} -> no 1,2,3 ({289|379} blocked by 20(3))
1c. 11(3) @ r1c3,r8c6 = {128|137|146|236|245} -> no 9
1d. 10(2) @ r1c5, r1c6,r5c8 = {19|28|37|46} -> no 5
1e. n4: 7(2) = {16|25|34} -> no 7,8,9
1f. n47: 8(2) = {17|26|35} -> no 4,8,9
1g. n36: 13(2) = {49|58|67} -> no 1,2,3
1h. n8: 15(2) = {69|78} -> no 1,2,3,4,5

2. 45 on n1 (3 innies): r1c3 + r3c13 = h6(3) = {123} -> no 4,5,6,7,8,9
2a. -> 15(3) @ r3c1 : no 1,2,3 in r4c12, {456} removed

3. 45 on w7 (2 outies): r3c5 + r5c7 = h7(2) = {16|25|34} -> no 7,8,9
3a. -> r3c6 + r4c67 = h14(3) = {149|158|167|239|248|257|347} ({356} blocked by h7(2))

4. 45 on w8 (2 outies): r5c3 + r7c5 = h11(2) = {29|38|47|56} -> no 1
4a. r6c34 + r7c4 = h16(3) = {169|178|259|268|349|358|367|457}

5. 45 on r1234 (using h14(3) from step 3): r34c5 = h8(2) = [17]|{26|35} -> no 4 in r3c5, no

1,4,8,9 in r4c5
5a. -> no 3 in r5c7

6. 45 on r6789 (using h16(3) from step 4): r67c5 = h10(2) = [19]|{28|37|46} -> no 5,9 in

r6c5, no 5 in r7c5
6a. -> no 6 in r5c3

7. 45 on c5 (using h8(2) and h10(2)): r5c5 = 2
7a. -> n5: 28(5) = 2{3689|4589|4679|5678} -> no 1
7b. -> c5: h8(2) = [17]|{35} -> no 2,6
7c. -> c5: 10(2) = {19|37|46} -> no 2,8
7d. -> c5: h10(2) = {37|46} -> no 1,2,8,9
7e. -> c5: 15(2) = {78} -> 7,8 locked for c5 and n8
7f. -> c5: h10(2) = {46} -> 4,6 locked for c5
7g. -> c5: 10(2) = {19} -> 1,9 locked for c5 and n2
7h. -> c5: h8(2) = {35} -> 3,5 locked for c5
7i. -> h7(2): r3c5 = 3, r5c7 = 4, r4c5 = 5
7j. -> 28(5) = 258{49|67} -> no 3
7k. -> r5: 7(2) = {16} -> 1,6 locked for r5 and n4
7l. -> r5: 10(2) = {37} -> 3,7 locked for r5 and n6
7m. -> single: r5c3 = 5, r7c5 = 6, r6c4 = 4
7n. -> r5c46 = {89} -> 8,9 locked for r5 and n5
7o. -> single: r1c3 = 3 -> r12c4 = {26} -> 2,6 locked for c4 and n2
7p. -> n12: 15(3): r3c1 = 2, r4c12 = {49} -> 4,9 locked for r4 and n4 -> r3c3 = 1

8. 45 on c1234: r5c4 = 8, r5c6 = 9

9. n1245: 15(4) = 17{25|34} -> r3c4 = {45}, r4c3 = {27}, r4c4 = {37} -> 7 locked in r4c34 for

r4 and w6
9a. -> n1: 19(3) = 6{49|68} -> 6 locked for n1 and w6
9b. -> w6: r2c4 = 2, r1c4 = 6, r4c34 = [73], r3c4 = 4
9c. -> n1: 19(3) = {568} -> 6,8 locked for n1, 5 locked in r23c2 for c2 and n1
9d. -> w6: r4c12 = [49]
9e. -> r67c1 = [35]
9f. -> single: r1c2 = 4, 7,9 locked in r12c1 for c1 and n1

10. cleanup
10a. w2: no 3,4,5,6,8 in r5c2,r9c234 -> r5c12 = [61], r9c234 = [729]
10b. r89c5 = [78], r89c1 = [81], r6c23 = [28], r78c2 = [36], r678c4 = [715], r2c3 = 6
10c. w4: no 2,3,4,5 in r234c9 -> r34c9 = [76], r12c1 = [79], r12c5 = [91], r2c9 = 8
10d. r23c2 = [58], r12346c6 = [87516], r12c7 = 23, r2c8 = 4
10e. r4c78 = [82], r5c89 = [73]
10f. w1: r1c89 = [15], r9c69 = [34]
10g. r78c6 = [42], r9c78 = [65], r6c789 = [591], r78c2 = [94], r7c789 = [782], r8c789 = [139], r3c78 = [96]

Solution:
743698215
956217348
281435967
497351826
615829473
328746591
539164782
864572139
172983654

Cheers,
Nasenbaer
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