Mathimagics wrote:Thanks, JPF, nice to have that figure confirmed. Do you intend to count the 3-clue minimals also?
Probably, but first I need to find some personal time, some cpu time and more importantly an efficient way to resolve the issue ...
dobrichev wrote:Hi Mathimagics,
I missed this post while debating on coloring. Edited my announce.
I am sure once with Colin (and JPF?) we counted values per cell in the catalog. I could not find this discussion.
I don't know which post you are refering to, but here are the data:
- Code: Select all
1 2 3 4 5 6 7 8 9
r1c1 5472730538 0 0 0 0 0 0 0 0
r1c2 0 5472730538 0 0 0 0 0 0 0
r1c3 0 0 5472730538 0 0 0 0 0 0
r1c4 0 0 0 5472730538 0 0 0 0 0
r1c5 0 0 0 0 5472730538 0 0 0 0
r1c6 0 0 0 0 0 5472730538 0 0 0
r1c7 0 0 0 0 0 0 5472730538 0 0
r1c8 0 0 0 0 0 0 0 5472730538 0
r1c9 0 0 0 0 0 0 0 0 5472730538
r2c1 0 0 0 5472730538 0 0 0 0 0
r2c2 0 0 0 0 5472730538 0 0 0 0
r2c3 0 0 0 0 0 1076640092 4396090446 0 0
r2c4 4396037160 53248 37 0 0 0 1076640092 1 0
r2c5 0 0 0 0 0 0 0 5472730537 1
r2c6 0 0 1 0 0 0 0 0 5472730537
r2c7 1008251800 4410810371 30137776 0 0 23530591 0 0 0
r2c8 20219 541113310 4456309483 0 0 475287526 0 0 0
r2c9 68421359 520753609 986283241 0 0 3897272329 0 0 0
r3c1 0 0 0 0 0 3420986103 1018579584 847072631 186092220
r3c2 0 0 0 0 0 602707920 41335391 3096595009 1732092218
r3c3 0 0 0 0 0 372396423 16725117 1529062898 3554546100
r3c4 522820037 2263164673 1553795161 0 0 0 1132950667 0 0
r3c5 252192183 1491153425 2187778899 0 0 0 1541606031 0 0
r3c6 301681158 1718359192 1731156440 0 0 0 1721533748 0 0
r3c7 1915427189 38224 38 1169448260 2160075460 227741367 0 0 0
r3c8 1629950634 14569 0 1897901957 1457723946 487139432 0 0 0
r3c9 850659337 455 0 2405380321 1854931132 361759293 0 0 0
r4c1 0 5472730538 0 0 0 0 0 0 0
r4c2 931153808 0 1190388731 831219801 0 740311928 865348729 342236777 572070764
r4c3 1034412625 0 0 1057821661 1201268047 766083223 201793034 819586278 391765670
r4c4 70651521 0 728067376 0 1024927267 950202539 612356982 1026395892 1060128961
r4c5 860368650 0 665354839 916369073 0 1046238897 780352470 0 1204046609
r4c6 836632778 0 753184748 902950057 1111724898 0 732871683 1135366374 0
r4c7 367701998 0 1001820495 634967288 581474464 865123628 0 992624467 1029018198
r4c8 624666022 0 188323420 610415090 821353673 861973471 1150298526 0 1215700336
r4c9 747143136 0 945590929 518987568 731982189 242796852 1129709114 1156520750 0
r5c1 0 0 2275774394 0 1255906749 491908723 944013853 505126819 0
r5c2 776801160 0 1006743490 789826946 0 800659425 967057820 422286211 709355486
r5c3 956132541 0 0 988497175 1249971624 775805391 224005321 851688845 426629641
r5c4 107611050 800167602 401664111 0 737446527 875569411 516859340 922166628 1111245869
r5c5 855474235 961987147 312316538 891942943 0 815768346 588571479 0 1046669850
r5c6 904823004 965801317 383329291 952658281 751613030 0 598689109 915816506 0
r5c7 455648423 270695637 538047757 762423780 477448881 868070225 0 949101027 1151294808
r5c8 627722244 1184732494 111825003 566034083 506243890 664301344 784336596 0 1027534884
r5c9 788517881 1289346341 443029954 521347330 494099837 180647673 849197020 906544502 0
r6c1 0 0 0 0 548120130 364833514 1087049033 1241965955 2230761906
r6c2 780048411 0 999823923 813926338 0 782702235 961839519 425523196 708866916
r6c3 994181993 0 0 991438617 1217463988 750426099 221623229 864316457 433280155
r6c4 105926107 828724144 834629150 0 967845444 917269836 503278599 777342019 537715239
r6c5 888675719 1011712148 668232133 926968794 0 867681509 596536225 0 512924010
r6c6 842567474 904338180 725952352 881841390 879173372 0 543214651 695643119 0
r6c7 461878984 271522811 1176413356 766414533 596098294 884964351 0 780642978 534795231
r6c8 665155688 1271085967 208149024 603531098 682503198 722872244 805046238 0 514387081
r6c9 734296162 1185347288 859530600 488609768 581526112 181980750 754143044 687296814 0
r7c1 0 0 3196956144 0 1727654264 190457994 357662136 0 0
r7c2 989755168 0 768278703 1013080326 0 862326860 870216623 389844051 579228807
r7c3 790849576 1834598345 0 824918873 606995174 584482747 139721875 468576793 222587155
r7c4 94387578 514337449 266469372 0 761817803 950970153 613875293 1109250795 1161622095
r7c5 861728919 658489870 213446913 890847873 0 967324197 713902591 1 1166990174
r7c6 898251380 651354490 279147287 937930325 808855929 0 714362174 1182828953 0
r7c7 428729272 176489188 364019738 720640441 489912492 937318353 0 1152917476 1202703578
r7c8 620106607 787065805 65529035 565975833 539535986 761656141 993262402 0 1139598729
r7c9 788922038 850395391 318883346 519336867 537958890 218194093 1069727444 1169312469 0
r8c1 0 0 0 0 1941049395 747042748 1388776009 1395862386 0
r8c2 994138168 0 751150930 993335542 0 856827075 893882980 397683506 585712337
r8c3 852657424 1818605945 0 802939517 597695284 582721869 136948033 461772429 219390037
r8c4 86925113 527477938 843148348 0 722901614 837616891 440006826 816776603 1197877205
r8c5 827514680 634349543 676299571 882591101 0 789556861 523492339 0 1138926443
r8c6 887657903 646480713 843333430 958740132 761835777 0 556709827 817972755 1
r8c7 398676055 165715335 1135703161 690296849 414847653 760033168 0 761620215 1145838102
r8c8 640962116 826014921 219155249 609053869 528744693 710061389 753751888 0 1184986413
r8c9 784199079 854086143 1003939849 535773528 505656122 188870537 779162636 821042644 0
r9c1 0 0 0 0 0 257501456 676649923 1482702747 3055876412
r9c2 1000833823 0 756344761 1031341585 0 827195095 873049476 398561788 585404010
r9c3 844496379 1819526248 0 807114695 599336421 564174694 135823483 477726838 224531780
r9c4 88371972 538805484 844956983 0 1257791883 941101708 576762739 820798600 404141169
r9c5 926776152 715038405 749301645 964010754 0 986160728 728269403 0 403173451
r9c6 801116841 586396646 756626989 838610353 1159527532 0 605349346 725102831 0
r9c7 436416817 177458972 1226588217 728539387 752873294 905948855 0 835824375 409080621
r9c8 664147008 862703472 223439324 619818608 936625152 789438991 986034888 0 390523095
r9c9 710571546 772801311 915472619 483295156 766576256 201209011 890791280 732013359 0
Out of 729 (position,digit) (p,d) there are 273 zeros.
Out of 5472730538 grids: r2c5=8 and r2c6=9 except for one grid (band 416)!
and a kind of "pencilmarks":
- Code: Select all
+-------------------------------+-------------------------------+-------------------------------+
| 1 2 3 | 4 5 6 | 7 8 9 |
| 4 5 67 | 12378 89 39 | 1236 1236 1236 |
| 6789 6789 6789 | 1237 1237 1237 | 123456 12456 12456 |
+-------------------------------+-------------------------------+-------------------------------+
| 2 1346789 1456789 | 1356789 134679 134578 | 1345689 1345679 1345678 |
| 35678 1346789 1456789 | 12356789 1234679 1234578 | 12345689 12345679 12345678 |
| 56789 1346789 1456789 | 12356789 1234679 1234578 | 12345689 12345679 12345678 |
+-------------------------------+-------------------------------+-------------------------------+
| 3567 1346789 12456789 | 12356789 12346789 1234578 | 12345689 12345679 12345678 |
| 5678 1346789 12456789 | 12356789 1234679 12345789 | 12345689 12345679 12345678 |
| 6789 1346789 12456789 | 12356789 1234679 1234578 | 12345689 12345679 12345678 |
+-------------------------------+-------------------------------+-------------------------------+
JPF
