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Tarek's Unsolvable Killer Sudoku list
http://rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=3&t=434
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Author:  tarek [ Sat Mar 07, 2009 10:22 am ]
Post subject:  Tarek's Unsolvable Killer Sudoku list

After downloading SS321, I managed to score several of my generated puzzles. I have compiled a Solver-defeating list which can be (for the time being) part of the hardest, impossible or unsolvable sudokus. This list is likely to grow. The 1st 30+ puzzles are either too long to solve or unsolvable by SS321/JSudoku .... So approach with care :whistle:

I will post them in the 81-chracter format which JSudoku has implented (Thanks again JC). Some of them are paterrn based, so you may find several puzzle with the same cage patterns.

Code:
G<<L<K<L<^G>^>^E^^>^IJ<G^<G^>^^I^<>^HC<C^<B^N^^G^<>^>^^E^<DF<^PG^<>^^J<^^<H<<>^>^
G<<M<L<M<^O>^>^C^^>^FF<G^<C^>^^H^<>^FE<E^<C^M^^H^<>^>^^E^<FH<^MH^<>^^L<^^<D<<>^>^
G<<N<J<H<^O>^>^K^^>^GI<A^<L^>^^E^<>^FF<E^<C^I^^E^<>^>^^C^<GH<^QF^<>^^E<^^<J<<>^>^
G<<P<N<H<^N>^>^E^^>^GH<B^<K^>^^I^<>^IC<G^<C^L^^A^<>^>^^C^<EK<^KJ^<>^^I<^^<D<<>^>^
L<<H<N<L<^L>^>^D^^>^BJ<I^<I^>^^G^<>^FF<F^<C^H^^I^<>^>^^I^<FE<^MD^<>^^H<^^<G<<>^>^
L<<Q<J<G<^N>^>^J^^>^C8<H^<F^>^^I^<>^FC<D^<I^L^^H^<>^>^^E^<AG<^PG^<>^^I<^^<G<<>^>^
M<<L<O<F<^J>^>^H^^>^KE<C^<M^>^^I^<>^CC<C^<E^K^^I^<>^>^^E^<FA<^OH^<>^^J<^^<E<<>^>^
N<<K<H<I<^I>^>^J^^>^CL<C^<L^>^^G^<>^9H<G^<C^J^^I^<>^>^^G^<IF<^LK^<>^^K<^^<7<<>^>^
A<H<MA<A<^P<<^N<<^E^E<^L<^E^^^^^^^^^M<<9<K<<<G^N<^F<SB^<^^L^^^^I<E>^>>^D^^^<^F<>^
E<8<ID<E<^N<<^L<<^A^Q<^K<^D^^^^^^^^^L<<G<I<<<K^C<^O<FB^<^^N^^^^M<C>^>>^K^^^<^B<>^
F<9<IF<K<^L<<^I<<^C^N<^N<^6^^^^^^^^^H<<I<I<<<9^K<^O<OA^<^^L^^^^R<F>^>>^G^^^<^6<>^
F<B<HB<K<^U<<^I<<^C^E<^I<^E^^^^^^^^^H<<G<M<<<C^R<^O<L6^<^^O^^^^K<A>^>>^F^^^<^B<>^
C<5<KD<I<^O<<^P<<^F^R<^C<^9^^^^^^^^^K<<H<I<<<A^X<^Q<IB^>^^I^^^^I<^>^>>^J^^6<^B<>^
C<9<L8<I<^P<<^L<<^C^J<^L<^E^^^^^^^^^N<<H<H<<<7^S<^J<PC^>^^G^^^^Q<^>^>>^G^^A<^9<>^
C<A<O7<G<^K<<^R<<^C^O<^G<^C^^^^^^^^^P<<B<M<<<B^V<^N<M8^>^^J^^^^J<^>^>>^F^^7<^C<>^
D<6<KH<C<^Q<<^P<<^E^M<^G<^9^^^^^^^^^H<<E<J<<<7^U<^Q<V8^>^^N^^^^K<^>^>>^C^^D<^5<>^
E<8<KF<F<^T<<^J<<^6^O<^F<^F^^^^^^^^^D<<E<R<<<A^W<^J<P9^>^^N^^^^N<^>^>>^E^^9<^7<>^
E<D<KA<H<^J<<^O<<^E^I<^J<^C^^^^^^^^^F<<K<M<<<B^X<^I<R9^>^^I^^^^K<^>^>>^F^^A<^7<>^
G<A<G6<M<^S<<^L<<^7^Q<^L<^7^^^^^^^^^J<<E<M<<<9^S<^J<T7^>^^J^^^^O<^>^>>^E^^9<^C<>^
I<A<E9<H<^Q<<^U<<^9^H<^F<^F^^^^^^^^^L<<I<G<<<9^S<^I<WC^>^^M^^^^O<^>^>>^9^^9<^7<>^
J<B<G9<G<^R<<^H<<^6^J<^R<^D^^^^^^^^^G<<E<O<<<9^T<^J<L9^>^^O^^^^N<^>^>>^F^^C<^A<>^
B<7<JF<B<^T<<^V<<^A^L<^R<^8^^^^^^^^^G<<M0^C<<AS>^OF<SB^^^^^^^^^H^<<^>>^E^<9<^8<>^
D<5<JE<H<^S<<^L<<^A^J<^M<^D^^^^^^^^^H<<N0^C<<CS>^KN<QD^^^^^^^^^9^<<^>>^A^<G<^9<>^
D<C<OF<C<^K<<^R<<^7^P<^N<^A^^^^^^^^^C<<N0^C<<DV>^EI<NF^^^^^^^^^E^<<^>>^I^<A<^7<>^
D<D<IB<9<^N<<^R<<^D^K<^S<^D^^^^^^^^^E<<N0^C<<6R>^KN<MD^^^^^^^^^F^<<^>>^G^<D<^6<>^
H<B<J8<C<^K<<^U<<^7^K<^Q<^G^^^^^^^^^K<<N0^C<<6P>^OM<PB^^^^^^^^^M^<<^>>^9^<9<^9<>^
D<A<GD<I<^S<<^H<<^B^P<^D<^B^^^^^^^F^E<N<<<<^<7^O<KO<NB^F^^^^^^^G^<<^>>^F^<D<^A<>^
D<A<MC<D<^N<<^M<<^A^N<^F<^E^^^^^^^C^G<N<<<<^<7^K<MR<LA^F^^^^^^^L^<<^>>^E^<B<^9<>^
G<9<M9<I<^T<<^J<<^A^G<^G<^9^^^^^^^E^E<T<<<<^<A^M<JK<OD^H^^^^^^^G^<<^>>^E^<9<^B<>^
K<B<GA<A<^Q<<^M<<^8^G<^L<^B^^^^^^^G^E<P<<<<^<7^K<PO<I8^M^^^^^^^E^<<^>>^K^<A<^B<>^
C<C<9C<I<^J<<^O<<^B^R<^Y<^A^^^^>^^^^P<<C<^9<<B^R<^M<QB^>^^L^^^^K<^>^>>^F^^A<^8<>^
C<5<ED<H<^R<<^K<<^C^N<^J<^8^^^^P^^N^I<<>^<>^<B^O<^F<Q9^G^^F^^^^E^<<^>>^I^<D<^8<>^
D<B<EE<B<^R<<^G<<^B^G<^J<^H^^^^P^^I^N<<>^<>^<B^J<^M<R8^I^^D^^^^H^<<^>>^D^<B<^B<>^
E<9<D9<K<^P<<^G<<^C^K<^N<^9^^^^K^^P^K<<>^<>^<7^O<^L<K8^K^^I^^^^E^<<^>>^F^<E<^9<>^
H<A<DE<B<^P<<^N<<^A^L<^F<^B^^^^J^^K^P<<>^<>^<9^L<^L<VC^F^^I^^^^C^<<^>>^F^<E<^3<>^
RJJDEPGD<H```````^F````D```D``````9`L````HE``L`L`SJ```C```I````A``B`````^<```````
ORH9GOCG<I```````^I````N```8``````9`I````DA``K`O`OL```C```L````I``3`````^<```````
KNLDDMBC<M```````^J````L```A``````F`I````JF``D`I`IP```E```D````I``C`````^<```````
QQH7IGID<H```````^N````O```8``````8`F````LG``M`S`IG```E```D````D``8`````^<```````
H<S<<K<<LO^<<^<^>^^<R<<<Y^F^O^V>>^^^>^K^<<^>^^P^<<^S^M^^^>>>^>^>^IM<T<<^^>^<^<<^<
S<J<<O<<KJ^<<^<^>^^<N<<<J^Q^S^O>>^^^>^W^<<^>^^O^<<^T^J^^^>>>^>^>^ML<S<<^^>^<^<<^<
M<S<<H<<OM^<<^<^>^^<O<<<N^R^K^X>>^^^>^I^<<^>^^P^<<^I^N^^^>>>^>^>^RU<O<<^^>^<^<<^<


tarek

Author:  tarek [ Mon Mar 09, 2009 1:39 am ]
Post subject:  Re: Tarek's Unsolvable Killer Sudoku list

I'm not sure how to compare these puzzles to decide which is hardest. If solving time is a factor then the following should be near the top (For the moment at least)
Unsolvable #41
Image

Code:
S<J<<O<<KJ^<<^<^>^^<N<<<J^Q^S^O>>^^^>^W^<<^>^^O^<<^T^J^^^>>>^>^>^ML<S<<^^>^<^<<^<

3x3::k:7168:7168:4866:4866:4866:6149:6149:6149:5128:4873:7168:7168:7168:4866:4866:6149:5128:5128:4873:4873:5908:5908:5908:5908:4888:5128:6682:4873:7196:5908:6174:4888:4888:4888:5128:6682:7196:7196:8230:6174:6174:6174:4888:6682:6682:7196:6190:8230:8230:8230:6174:7475:6682:4917:7196:6190:8230:7475:7475:7475:7475:4917:4917:6190:6190:5697:5442:5442:7236:7236:7236:4917:6190:5697:5697:5697:5442:5442:5442:7236:7236:

Solution:
+-------+-------+-------+
| 2 8 3 | 1 9 7 | 5 4 6 |
| 9 6 7 | 5 4 2 | 8 1 3 |
| 4 1 5 | 3 6 8 | 7 2 9 |
+-------+-------+-------+
| 5 9 1 | 7 2 6 | 3 8 4 |
| 8 7 6 | 4 3 9 | 1 5 2 |
| 3 2 4 | 8 5 1 | 9 6 7 |
+-------+-------+-------+
| 1 4 9 | 2 7 5 | 6 3 8 |
| 7 5 2 | 6 8 3 | 4 9 1 |
| 6 3 8 | 9 1 4 | 2 7 5 |
+-------+-------+-------+
Thanks ixsetf!

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