url: =Sudoku16: Minlex Forms : Software - Page 3\nby coloin » Thu Apr 01, 2021 2:59 pm\nI did think it an increasingly unlikely scenario that a grid has all the 48 row pairs of high rank - and that an automorphic grid with all similar high ranking might be more likely !!! Well found !\nMore Automorphic Grids\nby Mathimagics » Fri Apr 02, 2021 2:38 pm\nI have found some more high-ranking automorphic grids. These are not H-grids, but they are close relations, and were found while searching for H-grids.\nPursuing my "band knitting" analogy, we need a term for the number of distinct minlex bands (horizontal and vertical) in a grid. The vast majority of grids will have 8 different bands, and H-grids by definition only have one, but any number in between is possible.\nI suggest the term k-ply. So H-grids are 1-ply, and the most common grids (with all different bands) are 8-ply. I also conjecture that low-ply grids are far more likely to be automorphic than normal grids.\nThe first example is 3-ply, it has rank 17371 and 8 automorphisms:\n| 4 5 8 C | 2 3 9 D | 7 1 E F | A B 6 0 |\n| 6 9 B F | 1 C E A | 3 5 0 D | 4 2 7 8 |\n| A E 7 D | 0 8 F B | 2 4 6 C | 1 9 5 3 |\n| 1 2 0 E | C 6 3 5 | D A B 9 | 8 F 4 7 |\n| 7 3 D A | F E 8 9 | 4 C 1 2 | 5 6 0 B |\n| B C 5 8 | D 0 2 4 | F 6 7 E | 9 3 A 1 |\n| F 6 4 9 | B A 7 1 | 0 3 5 8 | E C D 2 |\n| 2 8 E 7 | 5 1 C 3 | 9 F 4 6 | 0 A B D |\n| 3 0 A 6 | E 9 D F | B 8 C 5 | 2 7 1 4 |\n| 9 B 1 5 | 8 2 4 0 | A 7 D 3 | 6 E F C |\n| D F C 4 | 7 B A 6 | 1 E 2 0 | 3 8 9 5 |\n| 5 7 6 B | 9 F 1 E | C 2 8 4 | D 0 3 A |\n| 8 4 F 0 | 3 D 5 C | 6 B 9 A | 7 1 2 E |\n| C A 3 1 | 6 4 0 2 | E D F 7 | B 5 8 9 |\n| E D 9 2 | A 7 B 8 | 5 0 3 1 | F 4 C 6 |\nThe minlex bands are shown here, tagged with their rank, and a code that indicates which bands are distinct:\n1: 0123456789ABCDEF458C239D71EFAB6069BF1CEA350D4278AE7D08FB246C1953 # 17371 A\n2: 0123456789ABCDEF458C239DEF17AB0669FAC1EB420D8735EB7D80FAC6354219 # 17411 B\n3: 0123456789ABCDEF458C239DEF17AB0669FAC1EB420D8735EB7D80FAC6354219 # 17411 B\n4: 0123456789ABCDEF458C239DEF17AB0669FAC1EB420D3587EB7D80FAC6351942 # 17411 C\nHere is a second example. Like the grid above it has rank 17371 and has 8 automorphisms, and is 3-ply, but with slightly different composition:\n2nd example: Show\n| 6 9 F B | C 1 E A | 2 4 0 D | 5 3 7 8 |\n| E A 7 D | 8 0 F B | 3 5 6 C | 1 9 4 2 |\n| 1 3 5 9 | 6 7 A 2 | 0 E D 4 | 8 C F B |\n| 7 2 4 8 | 9 D 5 F | B C 3 6 | E A 0 1 |\n| B C D A | 3 E 8 0 | 1 F 7 2 | 9 6 5 4 |\n| F 6 0 E | B 4 C 1 | A 8 5 9 | 3 2 D 7 |\n| 2 8 C F | A B 1 9 | D 7 4 5 | 6 0 3 E |\n| 9 4 E 6 | D C 3 5 | F B 1 0 | 7 8 2 A |\n| A 0 1 5 | E F 7 8 | 9 6 2 3 | B 4 C D |\n| D B 3 7 | 0 6 2 4 | E A C 8 | F 5 1 9 |\n| 3 E 9 1 | 7 2 4 6 | 5 0 8 A | D F B C |\n| 5 F 6 0 | 1 A B C | 4 D 9 E | 2 7 8 3 |\n| 8 7 B 4 | 5 9 D 3 | C 2 F 1 | 0 E A 6 |\n| C D A 2 | F 8 0 E | 6 3 B 7 | 4 1 9 5 |\n1: 0123456789ABCDEF458C239D71EFAB6069FBC1EA240D5378EA7D80FB356C1942 # 17371 A\n2: 0123456789ABCDEF458C239D71EFAB6069FE1CAB540D2378BA7D08EF326C1945 # 17371 B\n3: 0123456789ABCDEF458C9D23EF06BA716DEB81AF25C73490AF97EB0C1D438625 # 18655 C\n4: 0123456789ABCDEF458C9D23EF06BA716DEB81AF25C73490AF97EB0C1D438625 # 18655 C\n1: 0123456789ABCDEF458C239D71EFAB6069FE1CAB540D2378BA7D08EF326C1945 # 17371 B\n2: 0123456789ABCDEF458C9D23EF06BA716DEB81AF25C73490AF97EB0C1D438625 # 18655 C\n3: 0123456789ABCDEF458C239D71EFAB6069FBC1EA240D5378EA7D80FB356C1942 # 17371 A\nby Serg » Fri Apr 02, 2021 7:40 pm\nMathimagics wrote: ... HB-grid, which has rank 17,411, and 34 grid automorphisms!\nCongratulations! I could not even imagine that such HB-grids exist. Very interesting! (Please, correct a typo - "34 grid automorphisms" - of course there must be "32" automorphisms.)\nby Mathimagics » Sat Apr 03, 2021 5:31 am\nWe already did have one example of a HB-grid from the start, of course, the "most automorphic" grid. And I will look further for "low-rank" HB-grids, as well as continuing the search from the high-rank end.\nby Mathimagics » Sat Apr 03, 2021 1:12 pm\nIn a HB-grid, every one of the 48 row/col pairs has the same rank.\nIf A and B are both HB-grids, and rank(A) = rank(B), does it then follow that A and B are isomorphic?\nRemarkably (to me anyway), the answer is "not necessarily"\nHere we have 3 ED grids, all of which are HB-grids with rank 0:\nExamples, rank 0: Show\n+---------+---------+---------+---------+ +---------+---------+---------+---------+ +---------+---------+---------+---------+\n| 0 1 2 3 | 4 5 6 7 | 8 9 A B | C D E F | | 0 1 2 3 | 4 5 6 7 | 8 9 A B | C D E F | | 0 1 2 3 | 4 5 6 7 | 8 9 A B | C D E F |\n| 4 5 6 7 | 0 1 2 3 | C D E F | 8 9 A B | | 4 5 6 7 | 0 1 2 3 | C D E F | 8 9 A B | | 4 5 6 7 | 0 1 2 3 | C D E F | 8 9 A B |\n| 8 9 A B | C D E F | 0 1 2 3 | 4 5 6 7 | | 8 9 A B | C D E F | 0 1 2 3 | 4 5 6 7 | | 8 9 A B | C D E F | 0 1 2 3 | 4 5 6 7 |\n| C D E F | 8 9 A B | 4 5 6 7 | 0 1 2 3 | | C D E F | 8 9 A B | 4 5 6 7 | 0 1 2 3 | | C D E F | 8 9 A B | 4 5 6 7 | 0 1 2 3 |\n| 1 0 3 2 | 5 4 7 6 | 9 8 B A | D C F E | | 1 0 3 2 | 5 4 7 6 | 9 8 B A | D C F E | | 1 0 3 2 | 5 4 7 6 | A B 8 9 | F E D C |\n| 5 4 7 6 | 1 0 3 2 | D C F E | 9 8 B A | | 5 4 7 6 | 1 0 3 2 | D C F E | 9 8 B A | | 5 4 7 6 | 1 0 3 2 | E F C D | B A 9 8 |\n| 9 8 B A | D C F E | 1 0 3 2 | 5 4 7 6 | | 9 8 B A | D C F E | 1 0 3 2 | 5 4 7 6 | | 9 8 B A | D C F E | 2 3 0 1 | 7 6 5 4 |\n| D C F E | 9 8 B A | 5 4 7 6 | 1 0 3 2 | | D C F E | 9 8 B A | 5 4 7 6 | 1 0 3 2 | | D C F E | 9 8 B A | 6 7 4 5 | 3 2 1 0 |\n| 2 3 0 1 | 6 7 4 5 | A B 8 9 | E F C D | | 2 3 0 1 | 6 7 4 5 | F E D C | B A 9 8 | | 2 3 0 1 | B A 9 8 | 7 6 5 4 | E F C D |\n| 6 7 4 5 | 2 3 0 1 | E F C D | A B 8 9 | | 6 7 4 5 | 2 3 0 1 | B A 9 8 | F E D C | | 6 7 4 5 | F E D C | 3 2 1 0 | A B 8 9 |\n| A B 8 9 | E F C D | 2 3 0 1 | 6 7 4 5 | | A B 8 9 | E F C D | 7 6 5 4 | 3 2 1 0 | | A B 8 9 | 3 2 1 0 | F E D C | 6 7 4 5 |\n| E F C D | A B 8 9 | 6 7 4 5 | 2 3 0 1 | | E F C D | A B 8 9 | 3 2 1 0 | 7 6 5 4 | | E F C D | 7 6 5 4 | B A 9 8 | 2 3 0 1 |\n| 3 2 1 0 | 7 6 5 4 | B A 9 8 | F E D C | | 3 2 1 0 | 7 6 5 4 | E F C D | A B 8 9 | | 3 2 1 0 | A B 8 9 | 5 4 7 6 | D C F E |\n| 7 6 5 4 | 3 2 1 0 | F E D C | B A 9 8 | | 7 6 5 4 | 3 2 1 0 | A B 8 9 | E F C D | | 7 6 5 4 | E F C D | 1 0 3 2 | 9 8 B A |\n| B A 9 8 | F E D C | 3 2 1 0 | 7 6 5 4 | | B A 9 8 | F E D C | 6 7 4 5 | 2 3 0 1 | | B A 9 8 | 2 3 0 1 | D C F E | 5 4 7 6 |\n| F E D C | B A 9 8 | 7 6 5 4 | 3 2 1 0 | | F E D C | B A 9 8 | 2 3 0 1 | 6 7 4 5 | | F E D C | 6 7 4 5 | 9 8 B A | 1 0 3 2 |\nautomorphisms = 18432 automorphisms = 2048 automorphisms = 128\nPerhaps this is only possible with rank 0, because of its unique properties ...\nby Mathimagics » Thu Apr 08, 2021 4:37 pm\nI have improved the "Band Knit" process considerably, and over the past 5 days have used it to test all the 226,142 known H-bands to see if they can be knitted into a 1-ply grid. Any such result is clearly an HB-grid.\nI found just 155 HB-grids, of which 129 have rank 0.\n[ EDIT ] this set is actually far from complete, see the following post\nThe full list is given below, each grid tagged with its rank ("r") and automorphism count ("a").\nIn the post above, I wondered whether any ranks other than 0 might have multiple HB-grids, and the answer is "yes". You will find in the list several instances of different HB-grids with the same rank, eg rank 823, 829 etc...\nI have only just noticed, also, that only 2 grids in the list don't have (non-trivial) automorphisms (rank = 92, and rank = 11456);\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB456701231032547698BADCFE54761032DCFE98BA98BADCFE10325476DCFE98BA5476103223016745AB89EFCD67452301EFCDAB89AB89EFCD23016745EFCDAB896745230132107654BA98FEDC76543210FEDCBA98BA98FEDC32107654FEDCBA9876543210 # 0r 18432a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB456701231032547698BADCFE54761032DCFE98BA98BADCFE10325476DCFE98BA5476103223016745AB89EFCD67452301EFCDAB89AB89EFCD23016745EFCDAB896745230132107654FEDCBA9876543210BA98FEDCBA98FEDC76543210FEDCBA9832107654 # 0r 768a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB456701231032547698BADCFE54761032DCFE98BA98BADCFE10325476DCFE98BA5476103223016745AB89EFCD67452301EFCDAB89AB89EFCD23016745EFCDAB89674523013210BA98FEDC76547654FEDCBA983210BA9832107654FEDCFEDC76543210BA98 # 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0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89EFCD54761032EFCDAB8998BADCFE23016745DCFE98BA6745230123017654DCFEBA986745321098BAFEDCAB89FEDC54763210EFCDBA98103276543210EFCD765498BA7654AB893210DCFEBA986745FEDC1032FEDC2301BA985476 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89EFCD54761032EFCDAB8998BADCFE23016745DCFE98BA6745230123017654DCFEBA986745321098BAFEDCAB89FEDC54763210EFCDBA98103276543210EFCDBA9854767654AB89FEDC1032BA9867453210DCFEFEDC2301765498BA # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89EFCD54761032EFCDAB8998BADCFE23016745DCFE98BA674523012301AB895476DCFE6745EFCD103298BAAB892301DCFE5476EFCD674598BA10323210BA987654FEDC7654FEDC3210BA98BA983210FEDC7654FEDC7654BA983210 # 0r 512a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89EFCD54761032EFCDAB8998BADCFE23016745DCFE98BA674523012301AB895476DCFE6745EFCD103298BAAB892301DCFE5476EFCD674598BA10323210BA98FEDC76547654FEDCBA983210BA9832107654FEDCFEDC76543210BA98 # 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0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89EFCD54761032EFCDAB8998BADCFE23016745DCFE98BA674523012301BA98DCFE76546745FEDC98BA3210AB8932105476FEDCEFCD76541032BA983210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89EFCD54761032EFCDAB8998BADCFE23016745DCFE98BA674523012301BA98DCFE76546745FEDC98BA3210AB8932105476FEDCEFCD76541032BA983210EFCD765498BA7654AB893210DCFEBA986745FEDC1032FEDC2301BA985476 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301765498BAEFCD67453210DCFEAB89AB89FEDC10326745EFCDBA985476230132106745BA98DCFE76542301FEDC98BABA98EFCD32105476FEDCAB8976541032 # 0r 384a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301765498BAEFCD67453210DCFEAB89AB89FEDC10326745EFCDBA985476230132106745FEDC98BA76542301BA98DCFEBA98EFCD76541032FEDCAB8932105476 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301765498BAEFCD67453210DCFEAB89AB89FEDC10326745EFCDBA98547623013210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 48a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFE98BA6745321098BADCFEAB89FEDC54761032EFCDBA981032547632106745FEDCAB8976542301BA98EFCDBA98EFCD76542301FEDCAB8932106745 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFE98BA6745321098BADCFEAB89FEDC54761032EFCDBA98103254763210AB897654EFCD7654EFCD3210AB89BA982301FEDC6745FEDC6745BA982301 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFE98BA6745321098BADCFEAB89FEDC54761032EFCDBA98103254763210AB89FEDC67457654EFCDBA982301BA9823017654EFCDFEDC67453210AB89 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFE98BA6745321098BADCFEAB89FEDC54761032EFCDBA98103254763210EFCD7654AB897654AB893210EFCDBA986745FEDC2301FEDC2301BA986745 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFE98BA6745321098BADCFEAB89FEDC54761032EFCDBA98103254763210EFCDBA9867457654AB89FEDC2301BA9867453210EFCDFEDC23017654AB89 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFEAB896745321098BAEFCDAB89FEDC54762301EFCDBA981032674532106745FEDC98BA76542301BA98DCFEBA98EFCD76541032FEDCAB8932105476 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFEAB896745321098BAEFCDAB89FEDC54762301EFCDBA98103267453210AB897654DCFE7654EFCD321098BABA982301FEDC5476FEDC6745BA981032 # 0r 16a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA6745321023017654DCFEAB896745321098BAEFCDAB89FEDC54762301EFCDBA98103267453210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 16a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301AB895476DCFE6745EFCD103298BAAB892301DCFE5476EFCD674598BA10323210FEDC7654AB897654BA983210EFCDBA987654FEDC2301FEDC3210BA986745 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301AB895476DCFE6745EFCD103298BAAB892301DCFE5476EFCD674598BA10323210FEDCBA9867457654BA98FEDC2301BA9876543210EFCDFEDC32107654AB89 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301AB895476EFCD6745EFCD1032AB89AB892301DCFE6745EFCD674598BA23013210FEDCBA9854767654BA98FEDC1032BA9876543210DCFEFEDC3210765498BA # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301AB897654DCFE6745EFCD321098BAAB892301FEDC5476EFCD6745BA9810323210FEDC5476AB897654BA981032EFCDBA987654DCFE2301FEDC321098BA6745 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301AB897654DCFE6745EFCD321098BAAB892301FEDC5476EFCD6745BA9810323210FEDC98BA67457654BA98DCFE2301BA9876541032EFCDFEDC32105476AB89 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301AB89FEDC54766745EFCDBA981032AB8923017654DCFEEFCD6745321098BA3210FEDC5476AB897654BA981032EFCDBA987654DCFE2301FEDC321098BA6745 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476DCFE6745FEDC103298BAAB893210DCFE5476EFCD765498BA10323210AB897654EFCD7654EFCD3210AB89BA982301FEDC6745FEDC6745BA982301 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476DCFE6745FEDC103298BAAB893210DCFE5476EFCD765498BA10323210AB89FEDC67457654EFCDBA982301BA9823017654EFCDFEDC67453210AB89 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476DCFE6745FEDC103298BAAB893210DCFE5476EFCD765498BA10323210EFCD7654AB897654AB893210EFCDBA986745FEDC2301FEDC2301BA986745 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476DCFE6745FEDC103298BAAB893210DCFE5476EFCD765498BA10323210EFCDBA9867457654AB89FEDC2301BA9867453210EFCDFEDC23017654AB89 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476EFCD6745FEDC1032AB89AB893210DCFE6745EFCD765498BA23013210AB897654DCFE7654EFCD321098BABA982301FEDC5476FEDC6745BA981032 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476EFCD6745FEDC1032AB89AB893210DCFE6745EFCD765498BA23013210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 16a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476EFCD6745FEDC1032AB89AB893210DCFE6745EFCD765498BA23013210EFCD765498BA7654AB893210DCFEBA986745FEDC1032FEDC2301BA985476 # 0r 16a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA985476EFCD6745FEDC1032AB89AB893210DCFE6745EFCD765498BA23013210EFCDBA9854767654AB89FEDC1032BA9867453210DCFEFEDC2301765498BA # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA987654EFCD6745FEDC3210AB89AB893210FEDC6745EFCD7654BA9823013210AB895476DCFE7654EFCD103298BABA982301DCFE5476FEDC674598BA1032 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA987654EFCD6745FEDC3210AB89AB893210FEDC6745EFCD7654BA9823013210AB89DCFE54767654EFCD98BA1032BA9823015476DCFEFEDC6745103298BA # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA987654EFCD6745FEDC3210AB89AB893210FEDC6745EFCD7654BA9823013210EFCD547698BA7654AB891032DCFEBA986745DCFE1032FEDC230198BA5476 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA98DCFE54766745FEDC98BA1032AB8932105476DCFEEFCD7654103298BA3210AB89FEDC67457654EFCDBA982301BA9823017654EFCDFEDC67453210AB89 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA98DCFE54766745FEDC98BA1032AB8932105476DCFEEFCD7654103298BA3210EFCD7654AB897654AB893210EFCDBA986745FEDC2301FEDC2301BA986745 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA98DCFE67456745FEDC98BA2301AB8932105476EFCDEFCD76541032AB893210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476AB89FEDC54761032EFCDBA9898BADCFE23017654DCFE98BA674532102301BA98DCFE67456745FEDC98BA2301AB8932105476EFCDEFCD76541032AB893210EFCD765498BA7654AB893210DCFEBA986745FEDC1032FEDC2301BA985476 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDAB8954761032AB89EFCD98BADCFE67452301DCFE98BA230167452301BA985476FEDC6745FEDC1032BA98AB893210DCFE7654EFCD765498BA32103210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDAB8954761032AB89EFCD98BADCFE67452301DCFE98BA230167452301BA985476FEDC6745FEDC1032BA98AB893210DCFE7654EFCD765498BA32103210EFCD765498BA7654AB893210DCFEBA986745FEDC1032FEDC2301BA985476 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDAB8954761032AB89EFCD98BADCFE67452301DCFE98BA230167452301BA985476FEDC6745FEDC1032BA98AB893210DCFE7654EFCD765498BA32103210EFCDBA9854767654AB89FEDC1032BA9867453210DCFEFEDC2301765498BA # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDAB8954761032AB89EFCD98BADCFE67452301DCFE98BA230167452301BA987654DCFE6745FEDC321098BAAB893210FEDC5476EFCD7654BA9810323210EFCD5476BA987654AB891032FEDCBA986745DCFE3210FEDC230198BA7654 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDBA9854761032AB89FEDC98BADCFE67453210DCFE98BA230176542301BA985476DCFE6745FEDC103298BAAB893210DCFE5476EFCD765498BA10323210EFCD7654AB897654AB893210EFCDBA986745FEDC2301FEDC2301BA986745 # 0r 128a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDBA9854761032AB89FEDC98BADCFE67453210DCFE98BA230176542301BA985476EFCD6745FEDC1032AB89AB893210DCFE6745EFCD765498BA23013210EFCDBA9854767654AB89FEDC1032BA9867453210DCFEFEDC2301765498BA # 0r 192a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDBA9854761032AB89FEDC98BADCFE67453210DCFE98BA230176542301FEDC547698BA6745BA981032DCFEAB897654DCFE1032EFCD321098BA54763210AB897654EFCD7654EFCD3210AB89BA982301FEDC6745FEDC6745BA982301 # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDBA9854761032AB89FEDC98BADCFE67453210DCFE98BA230176542301FEDC547698BA6745BA981032DCFEAB897654DCFE1032EFCD321098BA54763210AB89FEDC67457654EFCDBA982301BA9823017654EFCDFEDC67453210AB89 # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310325476EFCDBA9854761032AB89FEDC98BADCFE67453210DCFE98BA230176542301FEDC5476AB896745BA981032EFCDAB897654DCFE2301EFCD321098BA67453210AB89FEDC54767654EFCDBA981032BA9823017654DCFEFEDC6745321098BA # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310326745DCFEAB895476230198BAEFCD98BAEFCD54762301DCFEAB8910326745230198BA7654FEDC6745DCFE3210BA98AB891032FEDC7654EFCD5476BA9832103210BA98EFCD54767654FEDCAB891032BA9832106745DCFEFEDC7654230198BA # 0r 64a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310326745DCFEAB895476230198BAEFCD98BAEFCD54762301DCFEAB8910326745230198BA7654FEDC6745DCFE3210BA98AB891032FEDC7654EFCD5476BA9832103210FEDCAB8954767654BA98EFCD1032BA9876542301DCFEFEDC3210674598BA # 0r 32a\n0123456789ABCDEF45670123CDEF89AB89ABCDEF01234567CDEF89AB4567012310326745DCFEBA985476230198BAFEDC98BAEFCD54763210DCFEAB89103276542301DCFE7654AB89674598BA3210EFCDAB895476FEDC2301EFCD1032BA9867453210BA98EFCD54767654FEDCAB891032BA9832106745DCFEFEDC7654230198BA # 0r 96a\n0123456789ABCDEF4567018C3DEF29AB89AB3DEF042C1567CDEF29AB156704831032547698BADCFE54D910327CFE68BA68BADCFE403251797CFE98BA51D6403223046715AE89BFCD97158304BFCDAE26AB86EFCD23049715EFCDAB296715830432407651EA98FBDCBA98FED3C2407651D651C240FB73EA98FE7CBA98D6513240 # 39r 48a\n0123456789ABCDEF4567018C3DEF29AB89AB3DEF042C1567CDEF29AB1567048310C8547692BAD3FE54761032DCFE98BA92BADCFE40385176D3FE98BA517640C22C046715AB89EF3D67158304EFCDAB29AB89EFCD23016745EF3DAB2967458C0138407651BA92FEDC7651C240FED3BA98BA92FED3C8107654FEDCBA9876543210 # 39r 192a\n0123456789ABCDEF4567018C3DEF29AB89AE3DBF012C4567CDBF29AE456701831032547698BADCFE54D910327CFE68BA68EADCFB103254797CFB98EA54D6103223016745AB89EFCD97458301EFCDAB26AB86EFCD23049715EFCDAB296715830432107654BA98FEDCBA98FED3C2407651D654C210FE73BA98FE7CBA98D6513240 # 39r 48a\n0123456789ABCDEF4567018C3DEF29AB89AE3DBF012C4567CDBF29AE4567018310C8547692BAD3FE54761032DCFE98BA92EADCFB10385476D3FB98EA547610C22C016745AE89BF3D67458301BFCDAE29AB89EFCD23016745EF3DAB2967458C0138107654EA92FBDC7654C210FBD3EA98BA92FED3C8107654FEDCBA9876543210 # 39r 192a\n0123456789ABCDEF4567018CD3EF92AB89EAD3FB01C25476DCFB29EA45761038103854D692BA7CFE54D610C237FE89BA92AE37BF108C456DC7BF98AE546D012323016D45EA98BFC76D458C01FB37AE92BA89FE732C10D654FE7CBA296D54381038107654AE29FBDC7654C210BFD3EA89AB92EF3DC8016745EFCDAB9876452301 # 53r 32a\n0123456789ABCDEF4567018CD3EF92AB8AE9DBF30C127456DBFC2AE9475630181CDBE9206574F83A23AF6745B098E1CD67458CAF1E3D0B92E98013DB2FCA5674321A745698B0DCFE7456C81A3DFE29B09E083FBDCA216745CFBD9E027645A3815674F0C8E1D3BA29A89EBD31F20C4567BDC1A29E54678F03F0325674AB891EDC # 53r 16a\n0123456789ABCDEF4567018CD3EF92AB8DAB93EF012C54679CEF2DAB456710831A325F7698B0DC4E5F761AC83D4E29B0C94ED2B05F76A138D8B0394E1AC2F576230167F5AE894BDC67F58C01B4D3EA29AE8DB4932C0176F5B49CAE2D67F53801321A7654E098BFCD7654C81AFB3D0E92E0D8FB39C21A6754FBC9E0D27654831A # 53r 16a\n0123456789ABCDEF4567028C3DEF91AB8ABED9F3C0126457D9FCEAB1645730281452C076BF98AED39D3AFE1B7C068245C0762438AED5BF19F8EB9D5A21437C062341760F5B89EACD760F8C42EA3D5B91ACD9B1E5F6702834BE85A3D912C4F6703F9D1BCE476A0582521067A498BCD3FE67A43820D5FE19BCEBC85F9D0321476A # 92r 1a\n0123456789ABCDEF4567028C3DEF91AB8ABF3D9E01C25476DC9E1ABF4576203810D4583692BA7CFE58362071DCFE49BAA2FBDCE910478563C7E9A4FB5863021D2D01F345B698EAC76E7CB91AF354D820B98A6ECD27103F54F3458702AEDC6B9134107F586B29AEDC7F58C120EA3DB6499BA2E6D3C401F785E6CD9BA47F851302 # 92r 24a\n0123456789ABCDEF456801C3D2EF97AB7DEF92AB546C01839CAB8DEF10734562103726549CBAD8FE54C638107DFE29BA89BAFEDC01325476D2FEBA794586103C2654D7FEC310AB983810C9BA6754EF2DBA791032EFD86C45FEDC5486AB2973016745EF2D3801BAC9AB927301FECD8654C301AB982645FED7EF8D6C45BA973210 # 823r 8a\n0123456789ABCDEF456801C3D2EF97AB7DEF92AB546C01839CAB8DEF10734562103726549CBAFED854C638107DFEBA2989BAFEDC01327654D2FEBA7945863C102654C9BAEFD810373810D7FEAB2954C6BA795486C310D2FEFEDC1032675489BA6745AB98FECD2301AB926C453801EF7DC301EF2DBA976845EF8D73012645AB9C # 823r 32a\n0123456789ABCDEF456801C3D2EF97AB7DEF92AB546C01839CAB8DEF1073456210372654ABC9D8FE54C63810EFD729BA89BAFEDC23105476D2FEBA796854103C2654D7FE3C01AB983810C9BA7645EF2DBA791032FE8D6C45FEDC5486BA9273016745EF2D0138BAC9AB927301CDFE8654C301AB984526FED7EF8D6C4597BA3210 # 823r 32a\n0123456789ABCDEF456801C3D2EFAB977DEF29BA45C638109CABD8FE013754261076549CA8B3F2DE29FE86AB5D4C7103543C107D2F6EB98AD8BA32EF9071654C3754CA061E982FBDBAD29E486CF01735C610F735B42D9EA8FE89BD21735A06C46BC17354EAD280F98F95ABD23704EC61A20DEF89C615437BE3476C10FB89DA52 # 829r 32a\n0123456789ABCDEF456801C3D2EFAB977DEF92AB546C38109CAB8DEF10735426103C547D2AB6F98E29BA68FE0DC175435476109CF83EB2DAD8FE23BA9547610C3710FC564B892EADBA89DE2473F016C5C6547A30E1D29FB8FED2B9186C5A07346BC13745AE2D80F98F95ABD23704EC61A20DEF89C615437BE347C601BF98DA52 # 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14140r 96a\n0123456789ABCDEF458C019D73EF62AB69AEC3BF512D40877DBF82AE406C519310D954C826BA37FE28EAD7FB153904C63CFB96EA047815D254761032DCFE98BA87402D51BFC3AE6993516C40AE82BF7DAB62EF739D018C45EFCDAB8967452301BA98FEDC32107654C6043915FBD7EA28D2157804EA96FB3CFE37BA26C854D910 # 14176r 768a\n0123456789ABCDEF458C019D73EF62AB69AEC3BF512D40877DBF82AE406C519310D954C826BA37FE28EAD7FB153904C63CFB96EA047815D254761032DCFE98BA87402D51EA96FB3C93516C40FBD7EA28AB62EF73C854D910EFCDAB8932107654BA98FEDC67452301C6043915AE82BF7DD2157804BFC3AE69FE37BA269D018C45 # 14176r 256a\n0123456789ABCDEF458C019DEF37AB2669AF3CEB512D87047DBE28FAC60451391076548C3EF92ABD28EB96AF1DC530473CFAD7BE2046198554D91023B78AF6CE8B42E3C0D5716F9A9E5D7F46ACB80312A760B9D1F3E24C58F3C18A5294607EDBB218CE356A9FD470CF34A2087BDE9561DA956B740213E8FCE607FD19485CB2A3 # 14197r 192a\n0123456789ABCDEF458C239DEF17AB0669BE1CFA350D4287AF7D08EBC642193513927AB864ECF05D5748E91FA0D326BCB6E03DC572F18A94CADF6420B895731E28395604DE7FB1CA7415D23C9B6A0EF8DE0B9FA14C285763FCA6B78E5130D4293DCAF05617BE98428B57A14923C6EFD092F18E730D546CABE064CBD2FA893571 # 17411r 32a\nMax Rank Found !!\nby Mathimagics » Mon Apr 12, 2021 4:40 pm\nWell, it's been quite a day! I found a bug in BandKnit which only became apparent when I tried to re-knit a test grid using its minlex bands/stacks.\n(And so the HB-grid list posted above is far from complete!)\nIt was only testing 1/576 of the possible combinations in its outermost loop. Having fixed that, I then restarted the HB-grid search, finding that there are indeed grids with rank 18688.\nThere are 7 of them, in fact, and are listed below. In minlex order, the last is this one:\n| 1 C B E | A F 9 6 | 7 8 3 5 | D 0 4 2 |\n| 3 2 D 9 | C 8 5 4 | A B 6 0 | F E 1 7 |\n| 7 6 5 4 | 3 2 1 0 | D C E F | 9 8 A B |\n| A F 0 8 | D 7 B E | 4 2 9 1 | 5 3 C 6 |\n| 2 4 9 1 | 6 C 3 5 | F A 0 8 | E B 7 D |\n| 8 7 3 5 | 2 4 0 D | C 1 B E | 6 9 F A |\n| B A 6 0 | 7 1 E F | 2 3 D 9 | 4 5 8 C |\n| C D E F | B A 8 9 | 6 7 5 4 | 0 1 2 3 |\n| 5 3 C 6 | 1 9 4 2 | B E 7 D | A F 0 8 |\n| 9 8 A B | F E D C | 1 0 2 3 | 7 6 5 4 |\n| D 0 4 2 | 5 3 7 8 | 9 6 F A | 1 C B E |\n| F E 1 7 | 0 6 A B | 5 4 8 C | 3 2 D 9 |\nRank = 18688, 1-ply, aut = 384\nWe can state with some confidence, that the grid above is the maximum minlex grid, since there are no bands, and thus no grids, with a higher rank (18689 to 18694).\nby coloin » Mon Apr 12, 2021 7:48 pm\nVery good .... consider yourself very much "stabbed in the back" by those sudoku-16 solution grid "gods" !!!\nBut pleasing to have the answer definitively !!!\nAnd an automorphic grid did turn out to be the max .....\nby Mathimagics » Tue Apr 13, 2021 4:24 am\ncoloin wrote: And an automorphic grid did turn out to be the max .....\nYes, this set of 7 grids seems functionally "equivalent" to band 416 ...\nThis is also the very first instance of a complete 16x16 ED band enumeration ...\nRe: Max Rank Found !!\nby Serg » Tue Apr 13, 2021 12:59 pm\nCongratulations with this unexpected discovery! It was hard to beleive for me that it was possible to find maximum minlex 16 x 16 Sudoku grid. I'll try to confirm your statement that band's minlex forms with r1+r2 ranks from 18689 to 18694 don't exist.\nby Mathimagics » Tue Apr 13, 2021 1:34 pm\nSerg wrote: I'll try to confirm your statement that band's minlex forms with r1+r2 ranks from 18689 to 18694 don't exist.\nThat would be great, to have that confirmed ...\nOnce you have done that, you might like to go further and check the full list of 327 ranks for which no minlex band forms exist, by my reckoning. These are listed below (10 per line).\n18313 18314 18315 18316 18317 18318 18319 18320 18321 18322\n18323 18328 18329 18330 18331 18332 18333 18334 18339 18340\n18344 18345 18346 18347 18348 18349 18350 18363 18365 18369\n18371 18372 18373 18374 18375 18376 18377 18378 18379 18380\n18381 18382 18383 18384 18385 18395 18397 18401 18403 18404\n18405 18406 18407 18408 18409 18410 18411 18412 18415 18416\n18417 18418 18419 18420 18421 18422 18423 18424 18426 18427\n18429 18431 18432 18433 18434 18435 18436 18437 18438 18439\n18440 18441 18442 18443 18444 18445 18446 18447 18448 18449\n18450 18451 18452 18453 18454 18455 18456 18457 18459 18461\n18462 18463 18464 18465 18466 18468 18469 18470 18471 18472\n18473 18474 18475 18476 18477 18478 18479 18480 18481 18482\n18483 18484 18485 18486 18487 18488 18489 18490 18491 18492\n18493 18494 18495 18496 18497 18498 18499 18500 18501 18502\n18503 18504 18505 18506 18507 18508 18509 18510 18511 18512\n18513 18514 18515 18516 18517 18518 18519 18520 18521 18522\n18523 18524 18525 18526 18527 18528 18529 18530 18531 18532\n18533 18534 18535 18536 18537 18538 18539 18540 18541 18542\n18543 18544 18545 18546 18547 18548 18549 18550 18551 18552\n18553 18554 18555 18556 18557 18558 18559 18560 18561 18562\n18563 18564 18565 18566 18567 18568 18569 18570 18571 18572\n18573 18574 18575 18576 18577 18578 18579 18580 18581 18582\n18583 18584 18585 18586 18587 18588 18589 18590 18591 18592\n18593 18594 18595 18596 18597 18598 18599 18600 18602 18604\n18605 18606 18607 18608 18609 18610 18611 18612 18613 18614\n18615 18616 18617 18618 18619 18620 18621 18622 18623 18624\n18625 18626 18627 18628 18629 18630 18631 18632 18633 18634\n18635 18636 18637 18638 18639 18640 18641 18642 18643 18644\n18645 18646 18647 18648 18649 18650 18651 18652 18653 18654\n18655 18656 18657 18658 18659 18660 18661 18662 18663 18664\n18665 18666 18667 18668 18669 18670 18671 18672 18673 18674\n18675 18676 18677 18678 18679 18680 18681 18682 18684 18686\n18687 18689 18690 18691 18692 18693 18694\nby Mathimagics » Wed Apr 14, 2021 9:04 am\nWe do appear to have identified both the first and the last of the 16x16 ED grids ...\nJust to put this into some sort of cosmic perspective:\nNumber of grids: est 6E98\nAtoms in visible universe: est 1E80\nNumber of ED grids: est 2E71\nby Serg » Mon Apr 19, 2021 8:41 pm\nNow I've done exhaustive search for 20 last two-row ranks (18675-18694). Here are results.\nTwo-row r2 row of two-row Does band's minlex form with such r2 row exist?\nrank minlex form\n18675 458C9A3DE1F6B027 No\n18676 458C9A3DE1F6B072 No\n18677 458C9A3DE1F6B270 No\n18678 458C9A3DE1F6B702 No\n18679 458C9A3DE1F76B02 No\n18680 458C9A3DE1F7B026 No\n18681 458C9A3DE1F7B062 No\n18682 458C9A3DE1F7B260 No\n18683 458C9D23EF06AB17 Yes\n18684 458C9D23EF06AB71 No\n18685 458C9D23EF06BA71 Yes\n18686 458C9D23EF07AB61 No\n18687 458C9D23EF07BA61 No\n18688 458C9D23EF17BA60 Yes\n18689 458C9D2EF037A1B6 No\n18690 458C9D2EF037AB16 No\n18691 458C9D2EF037BA16 No\n18692 458C9D2EF137B0A6 No\n18693 458C9D2EF137BA06 No\n18694 458C9D2EF317BA06 No\nSo, I can confirm your statement "... there are no bands, and thus no grids, with a higher rank (18689 to 18694)." and thus I confirm the grid you published is maximum 16 x 16 Sudoku minlex grid.\nby Mathimagics » Tue Apr 20, 2021 5:00 am\nSerg wrote: I can confirm your statement "... there are no bands, and thus no grids, with a higher rank (18689 to 18694)." and thus I confirm the grid you published is maximum 16 x 16 Sudoku minlex grid.\nThat's excellent, thank you, Serg !\nby Mathimagics » Thu Apr 22, 2021 7:25 pm\nThe discovery of very high-ranking 1-ply grids (and some 2/3-ply) by BandKnit has had a good side-effect, such grids tend to have high-ranking neighbours, and so the overall search effort has been greatly boosted. Today's status report is:\nwe have found grids for 17,722 different ranks. This includes all ranks in the range [0, 17580]\nthe maximum rank is now fixed at 18688.\nwith 327 ranks known to have no grids possible, the number of unresolved ranks is down to (18695 - 17722 - 327) = 646\nBandKnit is a very expensive process, and so it can't really be used to prove/disprove grid-existence for most unresolved ranks. For some cases a 1-ply search can be done (and has been done), but below a certain point the number of minlex bands is simply too great to even do a 1-ply search.\nBut for the very top ranks, it has at least given us some resolution. This table lists, in descending order, the top 10 ranks for which minlex bands exist, and what we know about them:\nRank NMB Grids Status\n18688 1 7 Complete\n18685 1 10 Complete\n18683 1 23 Complete\n18603 4 0 Complete\n18601 13 ?? Open\n18467 1 yes\n18460 5 yes\n18458 8 yes\n18430 3 ?? Open\n18428 7 ?? Open\nthe top 4 ranks have been completely tested by BandKnit, and the result is that we now know the 40 highest minlex grids (the "Top 40")\nrank 18603 is the highest rank for which there are minlex bands, but no minlex grids\nrank 18601 has been partly tested, and there no 1-ply or 2-ply grids. To complete (ie check all-ply) the search would require approx 90 core-days. This this can be done in a week (on PC JACK) or so, so I do intend to complete that.\nfor the remaining ranks, we have found 1-ply grids and/or grids via the general search for those marked "yes". Otherwise (marked ??) the status is unresolved.


timestamp: tn

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Isxyres dynameis ths astynomias, kataferan na syllaboyn pente allodapoys, treis Albanoys kai dyo Irakinoys, sthn katoxh twn opoiwn breqhkan kai katasxeqhkan 300 kila xasis.\nSynanthseis me toys Papoylia-Xaralampopoylo eixe o G.Papandreoy.\nSynanthseis me toys prwhn ypoyrgoys Karolo Papoylia kai Giannh Xaralampopoylo eixe o ypoyrgos Ejwterikwn Giwrgos Papandreoy, o opoios qa synexisei tis epafes toy me toys politikoys arxhgoys, enocei toy atypoy symboylioy ths EE to Sabbatokyriako, opoy qa syzhthqei kai h oikonomikh enisxysh ths Toyrkias gia na antimetwpisei ta problhmata apo ton seismo. Allo h bohqeia kai allo h arsh toy ellhnikoy beto, tonizei h ND, enw kathgorhmatika antiqetos me thn arsh toy beto taxqhke, me sklhrh glwssa kai o Qeodwros Pagkalos.\nForologika metra ths kybernhshs anakoyfizoyn toys mikromesaioys.\nPaketo forologikwn metrwn me stoxo th sygkrathsh toy plhqwrismoy kai thn anakoyfish twn mikrwn kai mesaiwn eisodhmatwn, qa ejaggeilei to Sabbato apo th Qessalonikh o prwqypoyrgos. Ta metra qa oristikopoihqoyn thn Pempth apo thn kybernhtikh epitroph kai sth synexeia me th morfh nomosxedioy qa katateqei sth Boylh. Metajy allwn qa problepoyn meiwsh twn emmeswn forwn kai toy FPA sta timologia twn DEKO, ayjhsh toy aforologhtoy orioy kai twn ekptwsewn gia ta paidia kai katarghsh twn antikeimenikwn krithriwn forologhshs.\nTragiko qanato brhke ypallhlos toy Dhmoy Poroy.\nTragiko qanato brhke ypallhlos toy Dhmoy Poroy, stis prospaqeies katasbeshs pyrkagias sthn perioxh, h opoia symfwna me thn pyrosbestikh ofeiletai se emprhsmo. Prokeitai gia ton Qeodwro Koybatso, 41 xronwn, o opoios enw metefere me to bytioforo toy nero, to oxhma anatraphke kai epese se gkremo, me apotelesma na traymatistei qanasima.\nMe ton K.Stefanopoylo synanthqhke o neos Arxiepiskopos Amerikhs.\nDiadoxikes synanthseis me ton proedro ths Dhmokratias kai ton ypoyrgo Paideias kai Qrhskeymatwn, eixe shmera o neos Arxiepiskopos Amerikhs Dhmhtrios. O k. Stefanopoylos epleje to egkwmio toy neoy arxiepiskopoy kai ejefrase th bebaiothta oti qa ferei eis peras to dyskolo ergo poy analambanei. H synanthsh toy me ton k. Arsenh, para to gegonos pws htan eqimotypikh, opws dhlwse o k. Dhmhtrios syzhthqhkan oysiastika qemata.\nMysthrio gyrw apo thn ejafanish mias 16xronhs Roymanas.\nMysthrio kalyptei thn ejafanish mias 16xronhs Roymanas, h opoia htan basikh martyras kathgorias se ypoqesh kyklwmatos porneias. H Roymana, thn opoia kapoioi kratoysan se spiti sth Glyfada, opoy thn ejedidan, katafere na diafygei kai na kataggeilei to gegonos sthn astynomia. Me entolh toy eisaggelea h 16xronh efilojeneito sto Idryma Xamogelo toy Paidioy, ap'opoy ejafanisqhke xqes kai anazhteitai apo thn astynomia.\nProslhceis sta nosokomeia olhs ths xwras.\nThn prokhryjh mesa sto Septembrio perissoterwn apo 4.500 newn qesewn ergasias sta nosokomeia olhs ths xwras, anakoinwse apo th Qessalonikh o ypoyrgos Ygeias Lampros Papadhmas. Opws dieykrinise o ypoyrgos oi proslhceis qa ginoyn me taxyryqmes diadikasies kai h epilogh - h opoia qa einai bash twn krithriwn toy ASEP - qa ginetai apo perifereiaka symboylia, sta opoia qa symmetexoyn ekproswpoi ths kata topoy Perifereias kai twn dioikhsewn twn Nosokomeiwn.\nEnqoysiasmenoi emeinan oi Italoi me thn prwth epishmh emfanish me ta xrwmata ths Inter toy Gewrgatoy sto kampionato, kaqws ean den yphrxe o Kristian Bieri, enas paixths poy mallon dikaiologei akomh kai ta 15 dis drx poy kostise h metagrafh toy, me ta tria ejoxa termata poy petyxe kata ths Berona, qa htan isws o polytimoteros paixths twn neratzoyri. O Ellhnas dieqnhs dexqhke ta kolakeytika sxolia apo dhmosiografoys, paixtes, proponhtes, alla kai apo ton proedro ths omadas Morati. Epishs, akomh enas Ellhnas podosfairisths poy agwnizetai sto ejwteriko, o Tsartas, katafere na strecei toys proboleis epanw toy, petyxenontas gia th Sebillh to deytero terma toy sto deytero agwna gia thn primera ntibizion. Pantws, h omada toy gnwrise thn htta sto Bigko apo th Qelta me 2-1\nProblhmatismos epikratei stis tajeis toy Olympiakoy meta th xqesinh emfanish kai th sxetika dyskolh epikrathsh epi toy PAS Giannena me 2-1 sto OAKA. Malista, ean o diaithths den akyrwne kanoniko terma toy "Agiaj ths Hpeiroy", to klima qa htan akomh pio bary. Sto metajy, o Persias poy parakoloyqhse toys agwnes ths Real kai ths Porto gyrise sthn Ellada entypwsiasmenos apo tis prosexeis antipaloys ths omadas toy. Pantws, o Panaqhnaikos kai h AEK, poy einai ta fabori mazi me toys eryqroleykoys gia thn katakthsh toy prwtaqlhmatos, den exoyn deijei kati to idiaitero pros to paron, paroysiazontas kena kai deixnontas anetoimoi pros to paron.\nOi epishmes times pwlhshs twn jenwn nomismatwn, poy dinei h Trapeza ths Ellados einai: dolario HPA pros 316,78 draxmes, lira Agglias pros 503,09,ta ekato gien Iapwnias pros 285,01,elbetiko fragko pros 206,82 th lira Kyproy pros 571,75, dolario Kanada pros 212,13 dolario Aystralias 200,18 to germaniko marko pros 169,40, tis ekato italikes liretes pros 17,11,galliko fragko pros 50,51 kai to eyrw pros 331,32 draxmes.\nMe thn egxwria reystothta oxi mono na mh deixnei shmadia kopwshs, alla kai na ayjanetai shmantika, h xrhmatisthriakh agora ekleise shmera se apostash "anapnohs" apo to istoriko rekor twn 5.224,15 monadwn. Oi mikromesaies metoxes htan prwtagwnistes ths shmerinhs synedriashs, enw h timh 100 kai pleon metoxwn ekleise sto anwtato orio diakymanshs toy 8%. "Adynamos" gia mia akomh hmera paroysiasqhke o trapezikos klados, o opoios htan o monos poy ekleise se xamhlotera epipeda apo thn perasmenh Paraskeyh. Nea ekrhktikh anodo kategracan oi metoxes toy kataskeyastikoy tomea kai h timh 28 metoxwn apo tis 29 toy kladoy, breqhke sto anwtato orio diakymanshs toy 8%, kaqws kai o kladikos deikths. O Genikos Deikths Timwn ekleise stis 5.220,28 monades, enanti 5.144,01 monadwn ths Paraskeyhs katagrafontas anodo 76,27 monadwn h se pososto 1,48%, enw kategrace anwterh timh stis 5.234,69 monades, otan shmeiwne anodo ews kai 1,76%. O deikths FTSE/ASE 20 ekleise stis 2.803,65 monades, paroysiazontas oriakh ayjhsh 0, 06%.\nFqinopwrinos qa einai ayrio o kairos, kaqws apo th Dytikh Ellada qa ekdhlwqoyn broxes kai kataigides, poy kata topoys qa einai entones kai argotera ta fainomena ayta qa epektaqoyn se ola ta hpeirwtika, to boreio kai kentriko Aigaio. Stis ypoloipes perioxes problepontai liges nefwseis. Oi anemoi qa pneoyn sta dytika apo noties dieyqynseis asqeneis ews metrioi kai sta anatolika dytikoi boreiodytikoi me thn idia entash. H qermokrasia qa kymanqei sth dytikh kai boreia Ellada apo 17 ews 28 baqmoys, sta ypoloipa hpeirwtika apo 19 ews 31 baqmoys kai sta nhsia toy Aigaioy apo 22 ews 29 baqmoys kelsioy. Nefwseis me broxh h kataigida, asqeneis anemoys kai qermokrasia 22 me 30 kai 20 me 27 baqmoys antistoixa, qa exoyn ayrio Aqhna kai Qessalonikh.\napegr2html v2.01a run on Monday, 30 August 1999 - 19:00:22 UTC


url: =Halk TV'de devrim, CHP'de kıyamet..! Eren Erdem'in kovulmasında Kaftancıoğlu parmağı | Haberler > GÜNDEM | Karne gazetesi | Karnegazetesi | Karne Gazete | KarneGazete | Haber |\nTarih: 11-01-2020 18:36:00\nEtiketler : Halk TV'de devrim CHP'de kıyamet..! Eren Erdem'in kovulmasında Kaftancıoğlu parmağı GÜNDEM MANŞET TÜRKİYE DÜNYA HABER halk-tvde-devrim chpde-kiyamet-eren-erdemin-kovulmasinda-kaftancioglu-parmagi rngundem rnmanset rnturkiye rndunya rnhaber rnrn


url: =Aqhna, 5 Martioy 1999\nSTAMATOPOYLOS: Exete na kanete kapoio sxolio gia to xqesinobradyno diabhma twn Amerikanwn pros thn Ellada kai thn Toyrkia na "kaqisoyn hsyxa";\nREPPAS: Pragmati, xqes to apogeyma, o ekproswpos ths amerikanikhs presbeias k. Snel, episkefqhke to Geniko Grammatea toy ypoyrgeioy Ejwterikwn k. Apostolidh. Antistoixh kinhsh egine apo thn pleyra twn HPA kai sthn prwteyoysa ths Toyrkias, thn Agkyra. Skopos ayths ths episkechs htan h metafora ths qeshs twn HPA pros thn ellhnikh kybernhsh, na parameinoyn se xamhlo epipedo oi tonoi antiparaqeshs, poy einai se ejelijh metajy Elladas kai Toyrkias, prokeimenoy na symbaloyme etsi sthn epanafora enos klimatos hremias sthn perioxh. Einai mia qesh twn HPA, thn opoia metefere o ekproswpos toys. Pisteyoyme oti h ellhnikh kybernhsh sthn prajh exei deijei pws kanei ejwterikh politikh arxwn se oloys toys tomeis, alla kai stis dimereis sxeseis me thn Toyrkia. H Ellada epiqymei oi sxeseis aytes na symbaloyn sth dhmioyrgia enos klimatos eirhnhs, asfaleias kai staqerothtas sthn perioxh. H Ellada den exei probei se tetoies energeies, gia tis opoies mporei kapoios na thn kathgorhsei oti symballei sth dhmioyrgia proypoqesewn apostaqeropoihshs sthn perioxh. Antiqetws. Pisteyoyme oti h Toyrkia, apo th dikh ths pleyra, qa kanei to idio, prokeimenoy na yparxei hremia, thn epomenh periodo, sthn perioxh kai na apoklimakwqei h entash stis ellhnotoyrkikes sxeseis.\nSTAMATOPOYLOS: Epeidh h Ellada, opws eipate, den exei probei se proklhseis, giati apeyqynontai kai se emas;\nREPPAS: Giati ayth einai h apoch twn HPA, poy qewroyn oti, oi dyo xwres, poy ayth thn periodo exoyn mia ojymenh sxesh, qa prepei na symbaloyn, wste na jeperastei ayth h ojythta stis sxeseis toys. Emeis qa synexisoyme thn politikh poy akoloyqoyme, giati pisteyoyme oti h politikh ayth einai h endedeigmenh, gia na diasfalisoyme toys oroys kai tis proypoqeseis gia thn hremia sthn perioxh.\nSTAMATOPOYLOS: Kai ti apanthsame se ayton ton kyrio; REPPAS: H qesh poy ekfrazw, ayth thn wra, martyra poso swsth einai h politikh poy akoloyqoyme. Einai mia politikh, h opoia aposkopei kai sthn prajh symballei sth dhmioyrgia synqhkwn eirhnhs kai hremias sthn perioxh.\nALEJAKH: Qa hqela na rwthsw, ektos apo aytes tis parembaseis twn Amerikanwn poy synistoyn cyxraimia, exei h kybernhsh kapoies alles plhrofories oti mporei na dhmioyrghqei epeisodio to epomeno diasthma. Kai to lew ayto, giati einai entones oi fhmes apo polla stelexh, ta opoia lene kati tetoio. Kai to deytero, to opoio qelw na sas rwthsw einai to ejhs: Mhpws, sto plaisio ths ejomalynshs twn ellhnotoyrkikwn sxesewn, skeftomaste na aroyme to beto gia th xrhmatodothsh ths Toyrkias;\nREPPAS: Oson afora to deytero skelos ths erwthshs sas, gnwrizete poies einai oi proypoqeseis poy exoyme qesei, edw kai poly kairo, gia thn apemplokh toy xrhmatodotikoy kanonismoy.\nOson afora to prwto skelos ths erwthshs sas, prepei na pw oti h ejomalynsh twn ellhnotoyrkikwn sxesewn mporei na epiteyxqei, an h Toyrkia epideijei mia allh symperifora. An me th stash ths empraktws symballei sth beltiwsh twn sxesewn twn dyo xwrwn. Giati, mexri twra, h stash ths einai epiqetikh kai proklhtikh enantion ths Elladas.\nGia to fhmologoymeno "epeisodio", poy rwtate eimai kathgorhmatikos se ayto. To exoyme pei kai allh fora, to lew kai twra. Den exoyme sygkekrimenes plhrofories oti h Toyrkia proetoimazei kapoia stratiwtikh drash se baros ths xwras mas. Den yparxei opoiadhpote tetoia plhroforia. Ayto to opoio dhmioyrgei ena klima entashs stis ellhnotoyrkikes sxeseis, einai oi epanalambanomenes dhlwseis twn Toyrkwn ajiwmatoyxwn oi opoies, bebaiws, apoteloyn mia proklhsh, synistoyn mia apeilh. Emeis eimaste, opws se kaqe analogh periptwsh, etoimoi na antimetwpisoyme kaqe endexomeno.\nMOYRTZHS: Me symbash poy epikyrwse h albanikh Boylh, ta Tirana edwsan to dikaiwma sthn Toyrkia na limenizei ta polemika ths ploia sthn Aylwna, alla kai na xrhsimopoiei thn omwnymh naytikh bash poy symfwna me plhrofories th misqwse me pente ekatommyria dolaria. Qelw na rwthsw an isxyei kat` arxhn ayto, an eixate enhmerwqei kai poia einai h antidrash sas.\nREPPAS: Ereynoyme ayto to qema. Prokeitai gia mia dimerh symfwnia dyo eleyqerwn kratwn. Den pisteyoyme oti h Albania, efoson proxwrhse se mia tetoia symfwnia, to ekane gia na strafei enantion ths Elladas. Kai pisteyoyme oti h xrhsimopoihsh ayths ths bashs qa ginei me tetoio tropo, wste na mhn apotelesei ormhthrio gia epiqetikes energeies enantion ths Elladas.\nMOYRTZHS: Exete tetoies diabebaiwseis;\nREPPAS: Epanalambanw oti to qema ayto, stis leptomereies toy, ereynatai akomh. Sas eipa poia einai h genikh qesh mas.\nSTAMATOPOYLOS: Yparxoyn shmera plhrofories an egine aerofwtografhsh sthn Krhth, nai h oxi;\nREPPAS: Den yparxei opoiadhpote plhroforia, den eixame kapoio peristatiko.\nSTAMATOPOYLOS: Oxi, lew gia to prohgoymeno peristatiko. Giati, xqes, jerate-den jerate. Twra, poy proxwrhsan kapws ta stoixeia, mhpws yparxei kati;\nREPPAS: Ayto einai kati poy mporeis na to ektimhseis, na to ypoqeseis, kaneis tis analyseis soy kai bgazeis ta symperasmata soy. Den gnwrizeis an exoyn ginei oi fwtografhseis h oxi. Gnwrizeis omws oti yphrjan aeroplana ta opoia eixan ton katallhlo ejoplismo. Apo kei kai pera einai qema ektimhsewn. Gia na xrhsimopoihqoyn ayta ta aeroplana, mporeis basima na to ypoqeseis kai ayto. Alla, epanalambanw, einai kati to opoio apasxolei tis armodies yphresies kai ta qemata ayta gnwrizete oti apaitoyn ena sxetiko xrono meleths, prokeimenoy na ejaxqoyn ta asfalh symperasmata.\nSTAMATOPOYLOS: Ayth thn perioxh poy fwtografisan h oxi, einai ekei poy qa topoqethqoyn oi S-300;\nREPPAS: Einai mia perioxh ths Krhths. Gnwrizete oti exoyme epilejei thn Anatolikh Krhth gia na topoqethqoyn oi pyrayloi S-300.\nMIXAHL: Isxyei ayth h apofash, h epilogh;\nREPPAS: Peri poioy qematos omileite;\nMIXAHL: Lete oti "epilejame thn perioxh ths Krhths". Kai lew, loipon, egw: meta kai to gegonos kai to symban ayto, paramenei h arxikh epilogh;\nREPPAS: Twra, isxyei perissotero. To eipe allwste o Prwqypoyrgos sthn omilia toy sth Boylh.\nMIXAHL: Eipate oti "twra isxyei perissotero". Gia ejhgeiste to ligo, ayto.\nREPPAS: H apanthsh poy dinw syndeetai me thn erwthsh poy kanate. Otan lete meta apo ayto poy ekanan oi Toyrkoi, an isxyei ayto...\nMIXAHL: Logiko den einai ayto kyrie Ypoyrge; Syggnwmh.\nREPPAS: Oxi, den einai kaqoloy logikh h erwthsh sas. Giati exoyme pei me kathgorhmatiko tropo, to epanelabe kai o Prwqypoyrgos shmera, oti ayth einai h oristikh epilogh kai qa ginei ekei h egkatastash toy pyraylikoy systhmatos. Otan syndeete ayto me th xqesinh drash twn toyrkikwn aeroplanwn sthn eyryterh perioxh, antilambaneste oti h apanthsh poy qa parete, einai tetoia apanthsh.\nMIXAHL: Ma, den einai anagkh na syndeetai. Th stigmh poy h Toyrkia...\nREPPAS: Eseis to syndesate, lew.\nMIXAHL: Ma, ena lepto kyrie Ypoyrge. Nomizw oti edw pera h erwthsh htan safhs kai eixe safes ypobaqro, alla den hqela na epektaqw perissotero gia na mh nomizete oti edina megalyterh diastash. Dhladh, h Toyrkia eite fwtografise eite den fwtografise, ekane, an qelete, to ti nomizei ayth oti ekane. Emeis, loipon, shmera exontas ypoch to ti qelei h Toyrkia na kanei, synexizoyme s' ayth thn kateyqynsh; Moy apanthsate nai. Kai sas lew egw, giati twra akomh perissotero; Ayto prospaqw na katalabw.\nREPPAS: Kyrie Mixahl, otan rwthsate, rwthsate syndeontas thn egkatastash twn S-300 sthn Krhth me to xqesino peristatiko. H qesh ths Toyrkias exei ekdhlwqei edw kai arketo kairo. Kai h apanthsh poy exei doqei apo thn ellhnikh kybernhsh, exei doqei edw kai arketo kairo kai einai safhs: Oti h egkatastash qa ginei sthn Krhth. Ara to qema exei lhjei. Eseis to epanaferete, syndyazontas th xqesinh pthsh twn toyrkikwn maxhtikwn aeroskafwn, me thn epilogh mas gia thn egkatastash twn pyraylwn. Giati to kanete ayto; Qewreite oti mporei aytos na einai logos gia na allajoyme thn epilogh mas; Profanws ayto qewreite, gia na kanete ayth thn erwthsh.\nMIXAHL: To ti profanws qewrw, einai diko moy qema.\nREPPAS: Sas parakalw, ke Mixahl, einai diko sas qema, alla den qa elegxete tis apanthseis poy dinw. Giati dinw apanthseis kai jerw poly kala giati tis dinw m' ayton ton tropo poy tis dinw.\nMIXAHL: Ofeilw na tis katagracw kai na tis krinw.\nREPPAS: Na tis katagracete kai na tis krinete.\nMIXAHL: Ayto lew. Den tis elegxw, den syzhtaw na parw alles apanthseis.\nREPPAS: Sthn prwth erwthsh poy kanate, syndesate thn egkatastash toy pyraylikoy systhmatos me th xqesinh pthsh twn toyrkikwn maxhtikwn aeroskafwn, oxi me th qesh ths Toyrkias genika. H qesh ths Toyrkias exei ekdhlwqei edw kai kairo. Kai h apanthsh apo thn Ellada, sth qesh ayth, exei doqei edw kai kairo.\nkyber2html v1.05c run on Friday, 5 March 1999 - 15:06:08 UTC


url: =The Flow Art | Pittsford Fine Art\nSize: 18 x 24" image size\nThis acrylic painting, "The Flow", is a confluence of bold colors in a liminal space. Is a space experienced within or the intersection atmospheric colors? Either interpretation can be carried by the overlapping reds and blues with an interruption of bright green.\n"The Flow" is framed in a torched warm-black wooden frame individually created for this piece. The acrylic paint is additionally protect with an isolation coat similar to a varnish. The framing has a modern appearence. Ready to hang and enhance your home!


url: =Wine Delivery Gressenhall | Send Wine To Gressenhall | Wine Delivered Gressenhall\nHome / Wine Delivery Gressenhall\nWine Delivery Gressenhall - Wine Delivered Next Day\nWine Delivery Gressenhall\nAt Sparkling Direct we make sending Wine Gifts to Gressenhall in Norfolk easy. We've been delivering wine online since 2002 and send all our wine gifts direct from our warehouse here in the UK to the recipients home address or business address in Gressenhall.\nBoughton | Blackwater | Woodton | Morston | Sparhamhill | Saxlingham | Hickling | Briston | Croxton | Moorgate | Houghton | Suspension Bridge | Witton | Weasenham St Peter | Tyegate Green | Swannington | Toft Monks | Worthing | Oxwick | Stow Bedon | Catton Grove | Ringland | Attleborough | West Winch | Garvestone |


url: =Synonyms and Antonyms for carangidae | Synonym.com\nnoun. Large family of narrow-bodied marine food fishes with widely forked tails; chiefly of warm seas.\ngenus Oligoplites order Percomorphi Selar carangid Trachurus carangid fish Alectis Oligoplites Trachinotus genus Seriola Percomorphi genus Alectis genus Decapterus genus Elagatis genus Naucrates genus Selar Selene Naucrates order Perciformes Seriola fish family genus Caranx Caranx Elagatis Perciformes genus Selene family Carangidae scad Decapterus jack genus Trachurus genus Trachinotus


url: =οδηγίες χρήσης ZANUSSI ZDIS 102 - Κατεβάστε το εγχειρίδιο ή οδηγό χρήσης ZANUSSI ZDIS 102\nοδηγίες χρήσης ZANUSSI ZDIS 102\nΑν αυτό το κείμενο ταιριάζει με αυτό που ζητάτε κατεβάστε το τώρα. Το Lastmanuals σας προσφέρει ένα γρήγορο και εύκολο τρόπο για το εγχειρίδιο ZANUSSI ZDIS 102 Ελπίζουμε ότι το εγχειρίδιο ZANUSSI ZDIS 102 θα σας φανεί χρήσιμο\nΤο Lastmanuals βοηθά να κατεβάσετε το εγχειρίδιο ZANUSSI ZDIS 102\nZANUSSI ZDIS 102 : Κατεβάστε τον πλήρη οδηγό χρήσης (9423 Ko)\nΑπόσπασμα από το εγχειρίδιο οδηγίες χρησεώς ZANUSSI ZDIS 102\n[. . . ] 2 Odhgìez asfàleiaz Eìnai polù shmantikò na fylaxteì aytò to egxeirìdio xrçshz mawì me th syskeyç gia mellontikéz parapompéz. Eàn h syskeyç poylhueì ç metabibasteì se àllon idioktçth, ç eàn metakomìsete ki afçsete th syskeyç, bebaivueìte òti to egxeirìdio ménei pànta mawì me th syskeyç èste o néoz xrçsthz na mporései na enhmervueì gia th leitoyrgìa thz syskeyçz kai tiz shmantikéz plhroforìez asfàleiaz. Oi paroùsez plhroforìez xorhgoùntai gia thn dikç saz kalùterh asfàleia. PREPEI na tiz diabàsete prosextikà prin thn egkatàstash ç th xrçsh thz syskeyçz. Egkatàstash q q q q q q q q q Elégjte to plyntçrio piàtvn saz gia endexòmenez whmiéz apò th metaforà. [. . . ] Epiléjte thn xamhlòterh rùumish gia th sklhròthta neroù. Topouetçste to aporrypantikò "3 se 1" prin thn énarjh toy progràmmatoz plùshz sth uçkh aporrypantikoù. SHMEIVSH: Eàn ta apotelésmata toy stegnèmatoz den eìnai ikanopoihtikà saz synistoùme na: 1. Gemìsete th uçkh lampryntikoù me lampryntikò. Ryumìsete th dosologìa lampryntikoù sth uésh 2. Sympyknvméno aporrypantikò Ta shmerinà aporrypantikà gia ta plyntçria piàtvn eìnai sxedòn òla aporrypantikà apokleistikà xamhlçz alkalikçz sygkéntrvshz me fysikà énwyma se tamplétez morfçz skònhz. Xrhsimopoièntaz progràmmata plùshz 50°C se syndyasmò me aytà ta sympyknvména aporrypantikà meiènetai h rùpansh kai kànoyn kalò sta piàta saz, efòson aytà ta progràmmata plùshz syndyàwontai eidikà me tiz idiòthtez diàlyshz thz brvmiàz tvn enwùmvn sta sympyknvména aporrypantikà. Eìnai gia aytòn to lògo poy xrhsimopoièntaz progràmmata plùshz 50°C se syndyasmò me sympyknvména aporrypantikà mporoùn na epiteyxuoùn ta ìdia apotelésmata kauariòthtaz poy diaforetikà mporoùn na epiteyxuoùn mòno xrhsimopoièntaz progràmmata plùshz 65°C. Eàn apofasìsete na epistrécete sth xrçsh toy stàntar systçmatoz aporrypantikoù saz ypenuymìwoyme òti ua prépei na: q q Gemìsete janà tiz uçkez me alàti kai lampryntikò. Ryumìsete th sklhròthta neroù ryumìwontaz sthn ychlòterh rùumish kai pragmatopoièntaz 3 kanonikà progràmmata plùshz xvrìz na gemìsete me piatikà. Ryumìsete th sklhròthta neroù ryumìwontaz anàloga me th sklhròthta toy neroù sthn perioxç saz. Ryumìsete th dosologìa lampryntikoù. q q SHMEIVSH: 'Otan xrhsimopoieìte aporrypantikà 4 se 1 poy symplhrènontai kai apò to méso katà thz diàbrvshz toy gyalioù ston tùpo "3 se 1", parakaloùme na akoloyuçsete tiz ìdiez ypodeìjeiz poy dìnontai gia ta aporrypantikà "3 se 1". 12 Progràmmata plùshz Prògramma Baumòz brvmiàz kai eìdoz fortìoy 'Entonh brvmià. Piatikà, maxairopçroyna kai koywinikà Uésh toy diakòpth epilogçz progràmmatoz Perigrafç kùkloy (3) Timéz katanàlvshz Diàrkeia progràmmatoz (se leptà) Katanàlvsh enérgeiaz (se kWh) Katanàlvsh neroù (se lìtra) Entatikò 65°C 65°C Westç pròplysh Kyrìvz plùsh stoyz 65°C 2 xliarà jebgàlmata 1 westò jébgalma Stégnvma Krùa pròplysh Kyrìvz plùsh stoyz 65°C 2 xliarà jebgàlmata 1 westò jébgalma Stégnvma 115 - 130 1, 6 - 1, 8 19 - 21 Kanonikò 65°C Kanonikç brvmià. Eàn prépei na jekinçsei éna néo prògramma, elégjte eàn ypàrxei aporrypantikò sth uçkh aporrypantikoù. 6. Téloz progràmmatoz plysìmatoz To plyntçrio piàtvn ua stamatçsei aytomàtvz. To ànamma thz endeiktikçz lyxnìaz téloz progràmmatoz ypodeiknùei òti to prògramma teleìvse. Sbçste to plyntçrio piàtvn stréfontaz pìsv ton diakòpth epilogçz progràmmatoz sth uésh Off. Anoìjte thn pòrta kai periménete merikà leptà protoù bgàlete ta piatikà, kat' aytòn ton tròpo ua eìnai pio krùa kai to stégnvma ua eìnai kalùtero. Rùumish thz "kauystérhshz ekkìnhshz" enòz progràmmatoz: Mòliz ryumisteì to prògramma plùshz, patçste to koympì "kauystérhshz ekkìnhshz". Patçste to koympì énarjh/àkyro, h antìstrofh métrhsh thz kauystérhshz ekkìnhshz jekinà aytomàtvz. Sbçnoyn oi endeiktikéz lyxnìez tvn fàsevn. To ànoigma thz pòrtaz den ua tropopoiçsei ç diakòcei thn antìstrofh métrhsh. Mòliz paréluei h kauystérhsh ekkìnhshz to prògramma plùshz ua jekinçsei aytomàtvz, h endeiktikç lyxnìa kauystérhshz ekkìnhshz sbçnei kai anàbei h endeiktikç lyxnìa thz fàshz se ejélijh. 7. Adeiàste to plyntçrio piàtvn Ta westà piàta eìnai eyaìsqhta sta xtypçmata. Prépei na afçsete na kryèsoyn ta piàta prin na ta bgàle ta apò thn oikiakç syskeyç. [. . . ] Me agvgò ston toìxo efodiasméno me ejaerismò, me elàxisth esvterikç diàmetro 4 ek. H sùndesh apoxéteyshz prépei na brìsketai se éna ùcoz metajù 30 ek. (mégisto) apò ton pyuména toy plynthrìoy piàtvn. O svlçnaz ekkénvshz mporeì na kateyuùnetai eìte aristerà eìte dejià toy plynthrìoy piàtvn. [. . . ]\nΑποποίηση ευθυνών για το κατέβασμα του εγχειριδίου ZANUSSI ZDIS 102\nΚάντε κλικ στο κουμπί "Κατέβασε αυτό το εγχειρίδιο" στο τέλος αυτού του συμβολαίου αν δέχεστε τους όρους, και θα αρχίσει η μεταφορά του αρχείου ZANUSSI ZDIS 102.


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