Show that a 6x6 square tiled with dominoes will always have at least one
fault line.
The following program found 3364 6x6 squares tiled with dominoes, of which 3364 had fault lines. The program looks for them exhaustively, subject only to the condition that the one in the upper left is horizontal. Any arrangement can be made to fit this by rotation or reflection, so all possibilities are covered.
DECLARE SUB place (domNo!, row!, col!)
CLEAR , , 9999
DIM SHARED board(6, 6), ct, fct
OPEN "domfault.txt" FOR OUTPUT AS #2
board(1, 1) = 1: board(1, 2) = 1
place 2, 1, 3
PRINT ct, fct
CLOSE
SUB place (domNo, row, col)
IF board(row, col) = 0 THEN
board(row, col) = domNo
IF col < 6 THEN
IF board(row, col + 1) = 0 THEN
board(row, col + 1) = domNo
GOSUB checkRest
board(row, col + 1) = 0
END IF
END IF
IF row < 6 THEN
IF board(row + 1, col) = 0 THEN
board(row + 1, col) = domNo
GOSUB checkRest
board(row + 1, col) = 0
END IF
END IF
board(row, col) = 0
END IF
EXIT SUB
checkRest:
IF domNo = 18 THEN
FOR c = 1 TO 5
cfault = c
FOR r = 1 TO 6
IF board(r, c) = board(r, c + 1) THEN cfault = 0
NEXT
IF cfault THEN EXIT FOR
NEXT
FOR r = 1 TO 5
rfault = r
FOR c = 1 TO 6
IF board(r, c) = board(r + 1, c) THEN rfault = 0
NEXT
IF rfault THEN EXIT FOR
NEXT
ct = ct + 1
IF cfault OR rfault THEN fct = fct + 1
IF cfault THEN PRINT SPACE$(cfault - 1); "|"
FOR r = 1 TO 6
FOR c = 1 TO 6
PRINT MID$("123456789abcdefghijklmnopqrstuvwxyz", board(r, c), 1);
NEXT
IF rfault = r THEN PRINT "_";
PRINT
NEXT
PRINT
IF cfault THEN PRINT #2, SPACE$(cfault - 1); "|"
FOR r = 1 TO 6
FOR c = 1 TO 6
PRINT #2, MID$("123456789abcdefghijklmnopqrstuvwxyz", board(r, c), 1);
NEXT
IF rfault = r THEN PRINT #2, "_";
PRINT #2,
NEXT
PRINT #2,
ELSE
r = row: c = col
DO
IF c = 6 THEN
r = r + 1: c = 1
ELSE
r = r: c = c + 1
END IF
LOOP UNTIL r > 6 OR board(r, c) = 0
IF r <= 6 THEN
place domNo + 1, r, c
END IF
END IF
RETURN
END SUB
About 1/4 of the results are shown below. Vertical bars mark the column just before the first vertical fault line found and an underscore on the right indicates the first horizontal fault line. All, including the 3/4 of cases not shown, had at least one vertical or horizontal fault line.
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
778899 778899 778899 778899 778899 778899 778899 778899 778899 778899
aabbcc aabbcc aabbcc aabbcd aabccd aabcdd abbcdd abccdd abccde abcdee
ddefgg deefgh defghh effgcd efbggd efbcgh aeecff abeefg abffde abcdfg
hhefii diifgh defgii ehhgii efhhii efiigh gghhii hhiifg gghhii hhiifg
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
77889a 77889a 77889a 77889a 77889a 77889a 77899a 77899a 77899a 77899a
bbcc9a bbcc9a bbcc9a bbcd9a bccd9a bcdd9a bb8cca bb8cca bb8cca bb8cca
ddeffg deefgg defggh eecdfg beedfg bcefgg ddeeff ddefgh deffgg defghi
hheiig dhhfii defiih hhiifg hhiifg hhefii gghhii iiefgh dehhii defghi
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
77899a 77899a 7789aa 7789aa 7789aa 7789aa 7789aa 7789aa 7789ab 7789ab
bc8dda bc8dda bb89cc bb89cc bb89cc bb89cd bc89dd bc89dd cc89ab cc89ab
bceeff bcefgh ddeffg deefgg defggh eefgcd bceeff bcefgh ddeefg deeffg
gghhii iiefgh hheiig dhhfii defiih hhfgii gghhii iiefgh hhiifg dhhiig
| | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
7789ab 7789ab 7789ab 78899a 78899a 78899a 78899a 78899a 7889aa 7889aa
cc89ab cd89ab cd89ab 7bbcca 7bbcca 7bbcca 7bbcda 7bcdda 7bb9cc 7bb9cc
deffgh cdeeff cdefgh ddefgg deefgh defghh efgcdh ebcfgh ddeffg deefgg
deiigh gghhii iiefgh hhefii diifgh defgii efgiih eiifgh hheiig dhhfii
| | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
7889aa 7889aa 7889aa 7889ab 7889ab 7889ab 7889ab 7899aa 7899aa 7899aa
7bb9cc 7bb9cd 7bc9dd 7cc9ab 7cc9ab 7cc9ab 7cc9ab 78bbcc 78bbcc 78bbcc
defggh eefgcd ebcffg ddeeff ddefgh deffgg defghi ddeeff ddefgh deffgg
defiih hhfgii ehhiig gghhii iiefgh dehhii defghi gghhii iiefgh dehhii
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
7899aa 7899aa 7899aa 7899aa 7899ab 7899ab 7899ab 7899ab 789aab 789aab
78bbcc 78bbcd 78bcdd 78bcde 78ccab 78ccab 78ccab 78cdab 789ccb 789ccb
defghi efggcd eebcff ffbcde ddeffg deefgg defggh eecdfg ddeefg deeffg
defghi efhhii gghhii gghhii hheiig dhhfii defiih hhiifg hhiifg dhhiig
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445566 445566 445566 445566 445566 445566 445566 445566 445566 445566
789aab 789aab 789abb 789abb 789abb 789abb 789abb 789abc 789abc 789abc
789ccb 789cdb 789acc 789acc 789acc 789acd 789acd 789abc 789abc 789abc
deffgh eefcdg ddeefg deeffg deffgh eeffcd efghcd ddefgg deefgh defghh
deiigh hhfiig hhiifg dhhiig deiigh gghhii efghii hhefii diifgh defgii
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445567 445567 445567 445567 445567 445567 445567 445567 445567 445567
889967 889967 889967 889967 889967 889967 889967 889967 889967 889967
aabbcc aabbcc aabbcc aabbcd aabccd aabcdd abbccd abccdd abccdd abcdee
ddeffg deefgg defggh eefgcd eebffd efbcgg aeeffd abeeff abefgh abcdff
hheiig dhhfii defiih hhfgii gghhii efhhii gghhii gghhii iiefgh gghhii
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445567 445567 445567 445567 445567 445567 445567 445567 445567 445567
889a67 889a67 889a67 889a67 889a67 889a67 899a67 899a67 899a67 899a67
bb9acc bb9acc bb9acc bb9acd bb9acd bc9add 8bbacc 8bbacc 8bbacc 8bbacc
ddeefg deeffg deffgh eeffcd efghcd bcefgg ddeeff ddefgh deffgg defghi
hhiifg dhhiig deiigh gghhii efghii hhefii gghhii iiefgh dehhii defghi
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445567 445567 445567 445567 445567 445567 445567 445567 445567 445567
899a67 899a67 89aa67 89aa67 89aa67 89aa67 89aa67 89aa67 89ab67 89ab67
8bbacd 8bcadd 89bbcc 89bbcc 89bbcc 89bbcd 89bccd 89bcdd 89abcc 89abcc
efggcd ebcfgh ddeffg deefgg defggh eefgcd eebffd efbcgg ddeeff ddefgh
efhhii eiifgh hheiig dhhfii defiih hhfgii gghhii efhhii gghhii iiefgh
| | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445567 445567 445567 445667 445667 445667 445667 445667 445667 445667
89ab67 89ab67 89ab67 885997 885997 885997 885997 885997 885997 885997
89abcc 89abcc 89abcd aabbcc aabbcc aabbcc aabbcd aabccd aabcdd abbccd
deffgg defghi efggcd ddeffg deefgg defggh eefgcd eebffd efbcgg aeeffd
dehhii defghi efhhii hheiig dhhfii defiih hhfgii gghhii efhhii gghhii
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445667 445667 445667 445667 445667 445667 445667 445667 445667 445667
885997 885997 885997 8859a7 895aa7 895aa7 895aa7 895aa7 895aa7 895aa7
abccdd abccdd abcdee bbc9ad 89bbcc 89bbcc 89bbcc 89bbcd 89bbcd 89bcdd
abeeff abefgh abcdff efcggd ddeefg deeffg deffgh eeffcd efghcd eebcfg
gghhii iiefgh gghhii efhhii hhiifg dhhiig deiigh gghhii efghii hhiifg
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445667 445677 445677 445677 445677 445677 445677 445677 445677 445677
895aa7 885699 885699 885699 885699 885699 885699 885699 885699 885699
89bcde aabbcc aabbcc aabbcc aabbcd aabbcd aabcdd aabcde abbcde abccdd
fgbcde ddeefg deeffg deffgh eeffcd efghcd eebcfg fgbcde affcde abefgg
fghhii hhiifg dhhiig deiigh gghhii efghii hhiifg fghhii gghhii hhefii
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445677 445677 445677 445677 445677 445677 445677 445677 445677 445677
885699 88569a 88569a 88569a 88569a 88569a 88569a 88569a 8956aa 8956aa
abcdde bbcc9a bbcc9a bbcc9a bbcc9a bbcd9a bcdd9a bcde9a 89bbcc 89bbcc
abcffe ddeeff ddefgh deffgg defghi efcdgh bceefg bcdeff ddeffg deefgg
gghhii gghhii iiefgh dehhii defghi efiigh hhiifg gghhii hheiig dhhfii
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445677 445677 445677 445677 445677 445677 445677 445677 445677 445678
8956aa 8956aa 8956aa 8956aa 8956ab 8956ab 8956ab 8956ab 8956ab 995678
89bbcc 89bbcd 89bccd 89bcdd 89ccab 89ccab 89ccab 89ccab 89cdab aabbcc
defggh eefgcd eebffd efbcgg ddeeff ddefgh deffgg defghi efcdgh ddefgg
defiih hhfgii gghhii efhhii gghhii iiefgh dehhii defghi efiigh hhefii
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445678 445678 445678 445678 445678 445678 445678 445678 445678 445678
995678 995678 995678 995678 995678 995678 995678 995678 995678 9a5678
aabbcc aabbcc aabbcd aabccd aabcdd abbcdd abccdd abccde abcdee 9abbcc
deefgh defghh effgcd efbggd efbcgh aeecff abeefg abffde abcdfg ddeffg
diifgh defgii ehhgii efhhii efiigh gghhii hhiifg gghhii hhiifg hheiig
| | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
445678 445678 445678 445678 445678 455667 455667 455667 455667 455667
9a5678 9a5678 9a5678 9a5678 9a5678 488997 488997 488997 488997 488997
9abbcc 9abbcc 9abbcd 9abccd 9abcdd aabbcc aabbcc aabbcc aabbcc aabbcd
deefgg defggh eefgcd eebffd efbcgg ddeeff ddefgh deffgg defghi efggcd
dhhfii defiih hhfgii gghhii efhhii gghhii iiefgh dehhii defghi efhhii
|
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
455667 455667 455667 455667 455667 455667 455667 455667 455677 455677
488997 488997 488997 488997 488997 488997 4889a7 489aa7 488699 488699
aabcdd aabcde abbcdd abccdd abccde abcdef bcd9ae b89cdd aabbcc aabbcc
eebcff ffbcde aeecfg abeffg abfgde abcdef bcdffe beecfg ddeefg deeffg
gghhii gghhii hhiifg hheiig hhfgii gghhii gghhii hhiifg hhiifg dhhiig
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
455677 455677 455677 455677 455677 455677 455677 455677 455677 455677
488699 488699 488699 488699 488699 488699 488699 488699 48869a 48869a
aabbcc aabbcd aabbcd aabcdd aabcde abbcde abccdd abcdde bbcc9a bbcc9a
deffgh eeffcd efghcd eebcfg fgbcde affcde abefgg abcffe ddeeff ddefgh
deiigh gghhii efghii hhiifg fghhii gghhii hhefii gghhii gghhii iiefgh
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
455677 455677 455677 455677 455677 455677 455678 455678 455678 455678
48869a 48869a 48869a 48869a 48869a 4896aa 499678 499678 499678 499678
bbcc9a bbcc9a bbcd9a bcdd9a bcde9a b89cdd aabbcc aabbcc aabbcc aabbcc
deffgg defghi efcdgh bceefg bcdeff beecfg ddeeff ddefgh deffgg defghi
dehhii defghi efiigh hhiifg gghhii hhiifg gghhii iiefgh dehhii defghi
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
455678 455678 455678 455678 455678 455678 455678 455678 456677 456677
499678 499678 499678 499678 499678 499678 499678 49a678 458899 458899
aabbcd aabcdd aabcde abbcdd abccdd abccde abcdef b9acde aabbcc aabbcc
efggcd eebcff ffbcde aeecfg abeffg abfgde abcdef bffcde ddefgg deefgh
efhhii gghhii gghhii hhiifg hheiig hhfgii gghhii gghhii hhefii diifgh
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456677 456677 456677 456677 456677 456677 456677 456677 456677 456677
458899 458899 458899 458899 458899 458899 458899 458899 45889a 45889a
aabbcc aabbcd aabccd aabcdd abbcdd abccdd abccde abcdee bbcc9a bbcc9a
defghh effgcd efbggd efbcgh aeecff abeefg abffde abcdfg ddeffg deefgg
defgii ehhgii efhhii efiigh gghhii hhiifg gghhii hhiifg hheiig dhhfii
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456677 456677 456677 456677 456677 456677 456677 456677 456677 456677
45889a 45889a 45889a 45889a 45899a 45899a 45899a 45899a 45899a 45899a
bbcc9a bbcd9a bccd9a bcdd9a bb8cca bb8cca bb8cca bb8cca bc8dda bc8dda
defggh eecdfg beedfg bcefgg ddeeff ddefgh deffgg defghi bceeff bcefgh
defiih hhiifg hhiifg hhefii gghhii iiefgh dehhii defghi gghhii iiefgh
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456677 456677 456677 456677 456677 456677 456677 456677 456677 456677
4589aa 4589aa 4589aa 4589aa 4589aa 4589aa 4589ab 4589ab 4589ab 4589ab
bb89cc bb89cc bb89cc bb89cd bc89dd bc89dd cc89ab cc89ab cc89ab cd89ab
ddeffg deefgg defggh eefgcd bceeff bcefgh ddeefg deeffg deffgh cdeeff
hheiig dhhfii defiih hhfgii gghhii iiefgh hhiifg dhhiig deiigh gghhii
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456677 456678 456678 456678 456678 456678 456678 456678 456678 456678
4589ab 459978 459978 459978 459978 459978 459978 459978 459978 459978
cd89ab aabbcc aabbcc aabbcc aabbcd aabccd aabcdd abbcdd abccdd abccde
cdefgh ddefgg deefgh defghh effgcd efbggd efbcgh aeecff abeefg abffde
iiefgh hhefii diifgh defgii ehhgii efhhii efiigh gghhii hhiifg gghhii
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456678 456678 456678 456678 456678 456678 456678 456778 456778 456778
459978 459a78 459a78 459a78 459a78 459a78 459a78 456998 456998 456998
abcdee bb9acc bb9acc bb9acc bb9acd bc9add bc9add aabbcc aabbcc aabbcc
abcdfg ddeffg deefgg defggh eefgcd bceeff bcefgh ddeefg deeffg deffgh
hhiifg hheiig dhhfii defiih hhfgii gghhii iiefgh hhiifg dhhiig deiigh
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456778 456778 456778 456778 456778 456778 456778 456778 456788 456788
456998 456998 456998 456998 456998 456998 456998 4569a8 456799 456799
aabbcd aabbcd aabcdd aabcde abbcde abccdd abcdde bbc9ad aabbcc aabbcc
eeffcd efghcd eebcfg fgbcde affcde abefgg abcffe eecffd ddeeff ddefgh
gghhii efghii hhiifg fghhii gghhii hhefii gghhii gghhii gghhii iiefgh
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456788 456788 456788 456788 456788 456788 456788 456788 456788 456788
456799 456799 456799 456799 456799 456799 456799 456799 456799 45679a
aabbcc aabbcc aabbcd aabcdd aabcde abbcdd abccdd abccde abcdef bbcc9a
deffgg defghi efggcd eebcff ffbcde aeecfg abeffg abfgde abcdef ddefgg
dehhii defghi efhhii gghhii gghhii hhiifg hheiig hhfgii gghhii hhefii
| | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_ 112233_
456788 456788 456788 456788 456788 456789 456789 456789 456789 456789
45679a 45679a 45679a 45679a 45679a 456789 456789 456789 456789 456789
bbcc9a bbcc9a bbcd9a bcdd9a bcdd9a aabbcc aabbcc aabbcc aabbcd aabbcd
deefgh defghh efcdgg bceeff bcefgh ddeefg deeffg deffgh eeffcd efghcd
diifgh defgii efhhii gghhii iiefgh hhiifg dhhiig deiigh gghhii efghii
| | | | | | | | | |
112233_ 112233_ 112233_ 112233_ 112233_ 112234 112234 112234 112234 112234
456789 456789 456789 456789 456789 556634_ 556634_ 556634_ 556634_ 556634_
456789 456789 456789 456789 456789 778899 778899 778899 778899 778899
aabcdd aabcde abbcde abccdd abcdde aabbcc aabbcc aabbcc aabbcc aabbcd
eebcfg fgbcde affcde abefgg abcffe ddeeff ddefgh deffgg defghi efggcd
hhiifg fghhii gghhii hhefii gghhii gghhii iiefgh dehhii defghi efhhii
| | | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_
778899 778899 778899 778899 778899 778899 77889a 77889a 77889a 77889a
aabcdd aabcde abbcdd abccdd abccde abcdef bbcc9a bbcc9a bbcc9a bbcd9a
eebcff ffbcde aeecfg abeffg abfgde abcdef ddefgg deefgh defghh efcdgg
gghhii gghhii hhiifg hheiig hhfgii gghhii hhefii diifgh defgii efhhii
| | | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_
77889a 77889a 77899a 77899a 77899a 77899a 77899a 77899a 7789aa 7789aa
bcdd9a bcdd9a bb8cca bb8cca bb8cca bb8cda bc8dda bc8dea bb89cc bb89cc
bceeff bcefgh ddeefg deeffg deffgh eefcdg bceefg bcfdeg ddefgg deefgh
gghhii iiefgh hhiifg dhhiig deiigh hhfiig hhiifg hhfiig hhefii diifgh
| | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_
7789aa 7789aa 7789aa 7789aa 7789ab 7789ab 7789ab 7789ab 78899a 78899a
bb89cc bb89cd bc89dd bc89de cc89ab cc89ab cc89ab cd89ab 7bbcca 7bbcca
defghh effgcd bceefg bcffde ddeffg deefgg defggh cdeefg ddeeff ddefgh
defgii ehhgii hhiifg gghhii hheiig dhhfii defiih hhiifg gghhii iiefgh
| | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_
78899a 78899a 78899a 78899a 7889aa 7889aa 7889aa 7889aa 7889aa 7889ab
7bbcca 7bbcca 7bccda 7bcdea 7bb9cc 7bb9cc 7bb9cc 7bb9cd 7bc9dd 7cc9ab
deffgg defghi ebffdg fbcdeg ddefgg deefgh defghh effgcd ebcfgg ddeefg
dehhii defghi ehhiig fhhiig hhefii diifgh defgii ehhgii ehhfii hhiifg
| | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_
7889ab 7889ab 7889ab 7899aa 7899aa 7899aa 7899aa 7899aa 7899aa 7899aa
7cc9ab 7cc9ab 7cd9ab 78bbcc 78bbcc 78bbcc 78bbcd 78bbcd 78bcdd 78bcde
deeffg deffgh ecdffg ddeefg deeffg deffgh eeffcd efghcd eebcfg fgbcde
dhhiig deiigh ehhiig hhiifg dhhiig deiigh gghhii efghii hhiifg fghhii
| | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556634_
7899ab 7899ab 7899ab 7899ab 789aab 789aab 789aab 789aab 789abb 789abb
78ccab 78ccab 78ccab 78cdab 789ccb 789ccb 789ccb 789cdb 789acc 789acc
ddefgg deefgh defghh efcdgg ddeffg deefgg defggh effcdg ddeffg deefgg
hhefii diifgh defgii efhhii hheiig dhhfii defiih ehhiig hheiig dhhfii
| | | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556634_ 556634_ 556634_ 556634_ 556634_ 556634_ 556734 556734 556734 556734
789abb 789abb 789abc 789abc 789abc 789abc 886799_ 886799_ 886799_ 886799_
789acc 789acd 789abc 789abc 789abc 789abc aabbcc aabbcc aabbcc aabbcd
defggh eefgcd ddeeff ddefgh deffgg defghi ddefgg deefgh defghh effgcd
defiih hhfgii gghhii iiefgh dehhii defghi hhefii diifgh defgii ehhgii
| | | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556734 556734 556734 556734 556734 556734 556734 556734 556734 556734
886799_ 886799_ 886799_ 886799_ 886799_ 886799_ 88679a 88679a 88679a 88679a
aabccd aabcdd abbcdd abccdd abccde abcdee bbcc9a_ bbcc9a_ bbcc9a_ bbcd9a
efbggd efbcgh aeecff abeefg abffde abcdfg ddeffg deefgg defggh eecdfg
efhhii efiigh gghhii hhiifg gghhii hhiifg hheiig dhhfii defiih hhiifg
| | | | | | | | | |
112234 112234 112234 112234 112234 112234 112234 112234 112234 112234
556734 556734 556734 556734 556734 556734 556734 556734 556734 556734
88679a 88679a 8967aa 8967aa 8967aa 8967aa 8967aa 8967aa 8967aa 8967ab
bccd9a bcdd9a 89bbcc_ 89bbcc_ 89bbcc_ 89bbcc_ 89bbcd 89bcdd 89bcde 89ccab_
beedfg bcefgg ddeeff ddefgh deffgg defghi efggcd eebcff_ ffbcde_ ddeffg
hhiifg hhefii gghhii iiefgh dehhii defghi efhhii gghhii gghhii hheiig
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Posted by Charlie
on 2007-03-22 21:57:05 |
brute force
