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Nine square pieces (Posted on 2005-12-11) Difficulty: 2 of 5
You are given 9 square pieces (A - I), each one having in each side a number from 1 to 4, positive or negative, as shown:
        +------------+   +------------+   +------------+
        |     +1     |   |     +2     |   |     +1     |
        |            |   |            |   |            |
        |-3   (A)  +4|   |+3   (B)  -1|   |+3   (C)  -2|
        |            |   |            |   |            |
        |     -2     |   |     -4     |   |     -4     |
        +------------+   +------------+   +------------+
        +------------+   +------------+   +------------+
        |     -1     |   |     -2     |   |     +2     |
        |            |   |            |   |            |
        |+2   (D)  -4|   |-4   (E)  +1|   |+1   (F)  -3|
        |            |   |            |   |            |
        |     +1     |   |     +3     |   |     -4     |
        +------------+   +------------+   +------------+
        +------------+   +------------+   +------------+
        |     +3     |   |     -3     |   |     +3     |
        |            |   |            |   |            |
        |-2   (G)  +4|   |+2   (H)  -4|   |-2   (I)  +4|
        |            |   |            |   |            |
        |     -1     |   |     +1     |   |     -3     |
        +------------+   +------------+   +------------+
Your task is to juxtapose them forming a 3x3 grid so that "touching numbers" of each pair of touching pieces (horizontally or vertically) adds to zero.

Note: You are free to rotate the pieces.

See The Solution Submitted by pcbouhid    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: For those who can try... random sampling ... computer used | Comment 7 of 9 |
(In reply to For those who can try... by pcbouhid)

The following program finds 5408 solutions, but each of 2704 is represented twice--one flipped around (seen from the other side) from the other.

DECLARE SUB addOn ()
DATA 1,4,-2,-3,  2,-1,-4,3, 1,-2,-4,3
DATA -1,-4,1,2, -2,1,3,-4, 2,-3,-4,1
DATA 3,4,-1,-2, -3,-4,1,2, 3,4,-3,-2

CLEAR , , 5000
DIM SHARED pc(9, 4), used(9), board(30), soFar, solCt


CLS
OPEN "9sqpces2.txt" FOR OUTPUT AS #2
FOR i = 1 TO 9
 FOR j = 1 TO 4
  READ pc(i, j)
 NEXT
NEXT

soFar = 0

addOn

PRINT solCt

END

SUB addOn
 FOR p = 1 TO 9
  IF used(p) = 0 THEN
   used(p) = 1
   FOR rot = 1 TO 4
    lft = pc(p, rot)
    rgt = pc(p, (rot + 1) MOD 4 + 1)
  
    IF soFar = 0 THEN
     good = 1
    ELSE
     IF lft = -board(soFar * 3) THEN
      good = 1
     ELSE
      good = 0
     END IF
    END IF
    IF good THEN
      soFar = soFar + 1
      board(soFar * 3 - 2) = lft
      board(soFar * 3 - 1) = p
      board(soFar * 3) = rgt
      IF soFar = 9 THEN
       IF board(9 * 3 - 1) > board(2) THEN
        solCt = solCt + 1
        IF RND(1) < .1 THEN
         FOR i = 1 TO soFar
          PRINT STR$(board(3 * i - 2)); "("; MID$("ABCDEFGHI", board(3 * i - 1), 1); ")"; STR$(board(3 * i));
          PRINT #2, STR$(board(3 * i - 2)); "("; MID$("ABCDEFGHI", board(3 * i - 1), 1); ")"; STR$(board(3 * i));
         NEXT
         PRINT
         PRINT #2,
        END IF
       END IF
      ELSE
        addOn
      END IF
      soFar = soFar - 1
    END IF
   NEXT rot
   used(p) = 0
  END IF
 NEXT
END SUB

The random sample:

-4(B) 2-2(C) 3-3(A) 4-4(D) 2-2(G) 4-4(H) 2-2(E) 3-3(I) 3-3(F) 1
-4(B) 2-2(C) 3-3(A) 4-4(D) 2-2(I) 4-4(H) 2-2(E) 3-3(F) 1-1(G) 3
-4(B) 2-2(C) 3-3(A) 4-4(F) 2-2(G) 4-4(H) 2-2(I) 4-4(E) 1-1(D) 1
-4(B) 2-2(C) 3-3(A) 4-4(F) 2-2(I) 4-4(H) 2-2(G) 4-4(D) 2-2(E) 3
-4(B) 2-2(C) 3-3(F) 1-1(G) 3-3(I) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1
-4(B) 2-2(C) 3-3(H) 1-1(G) 3-3(A) 4-4(F) 2-2(I) 4-4(D) 2-2(E) 3
-4(B) 2-2(E) 3-3(A) 4-4(D) 2-2(G) 4-4(F) 2-2(C) 3-3(I) 3-3(H) 1
-4(B) 2-2(E) 3-3(A) 4-4(F) 2-2(G) 4-4(D) 2-2(I) 4-4(H) 2-2(C) 3
-4(B) 2-2(E) 3-3(A) 4-4(F) 2-2(I) 4-4(D) 2-2(C) 3-3(H) 1-1(G) 3
-4(B) 2-2(E) 3-3(A) 4-4(H) 2-2(I) 4-4(C) 1-1(G) 3-3(F) 1-1(D) 1
-4(B) 2-2(E) 3-3(A) 4-4(H) 2-2(I) 4-4(F) 2-2(G) 4-4(C) 1-1(D) 1
-4(B) 2-2(E) 3-3(I) 3-3(A) 4-4(D) 2-2(G) 4-4(F) 2-2(C) 3-3(H) 1
-4(B) 2-2(E) 3-3(I) 3-3(A) 4-4(F) 2-2(C) 3-3(H) 1-1(D) 1-1(G) 3
-4(B) 2-2(E) 3-3(I) 3-3(F) 1-1(D) 1-1(G) 3-3(A) 4-4(H) 2-2(C) 3
-4(B) 2-2(G) 4-4(D) 2-2(C) 3-3(A) 4-4(F) 2-2(I) 4-4(H) 2-2(E) 3
-4(B) 2-2(G) 4-4(D) 2-2(E) 3-3(I) 3-3(A) 4-4(F) 2-2(C) 3-3(H) 1
-4(B) 2-2(G) 4-4(F) 2-2(C) 3-3(A) 4-4(D) 2-2(I) 4-4(H) 2-2(E) 3
-4(B) 2-2(G) 4-4(F) 2-2(E) 3-3(A) 4-4(D) 2-2(C) 3-3(I) 3-3(H) 1
-4(B) 2-2(G) 4-4(F) 2-2(I) 4-4(H) 2-2(C) 3-3(A) 4-4(E) 1-1(D) 1
-4(B) 2-2(G) 4-4(F) 2-2(I) 4-4(H) 2-2(E) 3-3(A) 4-4(C) 1-1(D) 1
-4(B) 2-2(G) 4-4(H) 2-2(E) 3-3(A) 4-4(D) 2-2(I) 4-4(F) 2-2(C) 3
-4(B) 2-2(G) 4-4(H) 2-2(I) 4-4(F) 2-2(E) 3-3(A) 4-4(D) 2-2(C) 3
-4(B) 2-2(I) 4-4(D) 2-2(E) 3-3(A) 4-4(H) 2-2(C) 3-3(F) 1-1(G) 3
-4(B) 2-2(I) 4-4(H) 2-2(E) 3-3(A) 4-4(C) 1-1(G) 3-3(F) 1-1(D) 1
-4(B) 2-2(I) 4-4(H) 2-2(E) 3-3(A) 4-4(D) 2-2(C) 3-3(F) 1-1(G) 3
-4(B) 2-2(I) 4-4(H) 2-2(G) 4-4(D) 2-2(C) 3-3(A) 4-4(F) 2-2(E) 3
 3(B)-1 1(C)-4 4(A)-3 3(E)-2 2(F)-4 4(G)-2 2(H)-4 4(I)-2 2(D)-4
 3(B)-1 1(C)-4 4(A)-3 3(E)-2 2(H)-4 4(G)-2 2(D)-4 4(I)-2 2(F)-4
 3(B)-1 1(C)-4 4(G)-2 2(F)-4 4(A)-3 3(E)-2 2(D)-4 4(I)-2 2(H)-4
 3(B)-1 1(C)-4 4(I)-2 2(F)-4 4(G)-2 2(H)-4 4(A)-3 3(E)-2 2(D)-4
 3(B)-1 1(D)-1 1(C)-4 4(A)-3 3(E)-2 2(F)-4 4(I)-2 2(H)-4 4(G)-2
 3(B)-1 1(D)-1 1(C)-4 4(G)-2 2(H)-4 4(I)-2 2(F)-4 4(A)-3 3(E)-2
 3(B)-1 1(D)-1 1(F)-3 3(C)-2 2(H)-4 4(A)-3 3(I)-3 3(G)-1 1(E)-4
 3(B)-1 1(D)-1 1(F)-3 3(I)-3 3(C)-2 2(H)-4 4(A)-3 3(G)-1 1(E)-4
 3(B)-1 1(E)-4 4(A)-3 3(C)-2 2(D)-4 4(G)-2 2(H)-4 4(I)-2 2(F)-4
 3(B)-1 1(E)-4 4(A)-3 3(C)-2 2(H)-4 4(I)-2 2(F)-4 4(G)-2 2(D)-4
 3(B)-1 1(E)-4 4(G)-2 2(F)-4 4(I)-2 2(H)-4 4(A)-3 3(C)-2 2(D)-4
 3(B)-1 1(E)-4 4(I)-2 2(D)-4 4(A)-3 3(G)-1 1(F)-3 3(C)-2 2(H)-4
 3(B)-1 1(E)-4 4(I)-2 2(F)-4 4(G)-2 2(D)-4 4(A)-3 3(C)-2 2(H)-4
 3(B)-1 1(F)-3 3(C)-2 2(D)-4 4(A)-3 3(I)-3 3(E)-2 2(H)-4 4(G)-2
 3(B)-1 1(F)-3 3(E)-2 2(H)-4 4(A)-3 3(G)-1 1(D)-1 1(C)-4 4(I)-2
 3(B)-1 1(F)-3 3(G)-1 1(D)-1 1(E)-4 4(A)-3 3(I)-3 3(C)-2 2(H)-4
 3(B)-1 1(H)-3 3(C)-2 2(F)-4 4(A)-3 3(G)-1 1(D)-1 1(E)-4 4(I)-2
 3(B)-1 1(H)-3 3(E)-2 2(D)-4 4(G)-2 2(F)-4 4(A)-3 3(I)-3 3(C)-2
 3(B)-1 1(H)-3 3(E)-2 2(F)-4 4(A)-3 3(G)-1 1(D)-1 1(C)-4 4(I)-2
 3(B)-1 1(H)-3 3(G)-1 1(D)-1 1(C)-4 4(A)-3 3(I)-3 3(E)-2 2(F)-4
 3(B)-1 1(H)-3 3(G)-1 1(D)-1 1(E)-4 4(A)-3 3(I)-3 3(C)-2 2(F)-4
 3(B)-1 1(H)-3 3(G)-1 1(F)-3 3(C)-2 2(D)-4 4(A)-3 3(I)-3 3(E)-2
 3(B)-1 1(H)-3 3(G)-1 1(F)-3 3(I)-3 3(C)-2 2(D)-4 4(A)-3 3(E)-2
 3(B)-1 1(H)-3 3(I)-3 3(E)-2 2(F)-4 4(A)-3 3(G)-1 1(D)-1 1(C)-4
 1(C)-4 4(A)-3 3(B)-1 1(D)-1 1(E)-4 4(G)-2 2(H)-4 4(I)-2 2(F)-4
 1(C)-4 4(A)-3 3(B)-1 1(D)-1 1(H)-3 3(G)-1 1(F)-3 3(I)-3 3(E)-2
 1(C)-4 4(A)-3 3(B)-1 1(F)-3 3(E)-2 2(D)-4 4(G)-2 2(H)-4 4(I)-2
 1(C)-4 4(A)-3 3(B)-1 1(F)-3 3(E)-2 2(H)-4 4(G)-2 2(D)-4 4(I)-2
 1(C)-4 4(A)-3 3(B)-1 1(F)-3 3(G)-1 1(H)-3 3(E)-2 2(D)-4 4(I)-2
 1(C)-4 4(A)-3 3(B)-1 1(F)-3 3(G)-1 1(H)-3 3(I)-3 3(E)-2 2(D)-4
 1(C)-4 4(A)-3 3(B)-1 1(H)-3 3(E)-2 2(F)-4 4(I)-2 2(D)-4 4(G)-2
 1(C)-4 4(A)-3 3(G)-1 1(D)-1 1(H)-3 3(B)-1 1(F)-3 3(I)-3 3(E)-2
 1(C)-4 4(A)-3 3(I)-3 3(B)-1 1(H)-3 3(G)-1 1(F)-3 3(E)-2 2(D)-4
 1(C)-4 4(G)-2 2(D)-4 4(I)-2 2(F)-4 4(A)-3 3(B)-1 1(H)-3 3(E)-2
 1(C)-4 4(G)-2 2(H)-4 4(A)-3 3(I)-3 3(B)-1 1(F)-3 3(E)-2 2(D)-4
 1(C)-4 4(I)-2 2(D)-4 4(A)-3 3(G)-1 1(H)-3 3(B)-1 1(F)-3 3(E)-2
 1(C)-4 4(I)-2 2(F)-4 4(A)-3 3(B)-1 1(D)-1 1(H)-3 3(G)-1 1(E)-4
-2(C) 3-3(A) 4-4(B) 2-2(I) 4-4(D) 2-2(E) 3-3(H) 1-1(G) 3-3(F) 1
-2(C) 3-3(A) 4-4(D) 2-2(E) 3-3(F) 1-1(B) 3-3(H) 1-1(G) 3-3(I) 3
-2(C) 3-3(A) 4-4(D) 2-2(G) 4-4(B) 2-2(I) 4-4(F) 2-2(E) 3-3(H) 1
-2(C) 3-3(A) 4-4(D) 2-2(G) 4-4(F) 2-2(E) 3-3(H) 1-1(B) 3-3(I) 3
-2(C) 3-3(A) 4-4(D) 2-2(I) 4-4(H) 2-2(G) 4-4(E) 1-1(B) 3-3(F) 1
-2(C) 3-3(A) 4-4(E) 1-1(B) 3-3(H) 1-1(D) 1-1(G) 3-3(I) 3-3(F) 1
-2(C) 3-3(A) 4-4(E) 1-1(G) 3-3(H) 1-1(B) 3-3(I) 3-3(F) 1-1(D) 1
-2(C) 3-3(A) 4-4(E) 1-1(G) 3-3(H) 1-1(D) 1-1(B) 3-3(I) 3-3(F) 1
-2(C) 3-3(A) 4-4(F) 2-2(G) 4-4(E) 1-1(B) 3-3(I) 3-3(H) 1-1(D) 1
-2(C) 3-3(A) 4-4(H) 2-2(G) 4-4(E) 1-1(D) 1-1(B) 3-3(I) 3-3(F) 1
-2(C) 3-3(F) 1-1(B) 3-3(I) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1-1(G) 3
-2(C) 3-3(F) 1-1(B) 3-3(I) 3-3(A) 4-4(E) 1-1(D) 1-1(G) 3-3(H) 1
-2(C) 3-3(F) 1-1(B) 3-3(I) 3-3(H) 1-1(G) 3-3(A) 4-4(D) 2-2(E) 3
-2(C) 3-3(F) 1-1(D) 1-1(B) 3-3(H) 1-1(G) 3-3(I) 3-3(A) 4-4(E) 1
-2(C) 3-3(H) 1-1(B) 3-3(A) 4-4(D) 2-2(G) 4-4(F) 2-2(I) 4-4(E) 1
-2(C) 3-3(H) 1-1(B) 3-3(A) 4-4(E) 1-1(D) 1-1(G) 3-3(I) 3-3(F) 1
-2(C) 3-3(H) 1-1(B) 3-3(F) 1-1(G) 3-3(I) 3-3(A) 4-4(E) 1-1(D) 1
-2(C) 3-3(H) 1-1(D) 1-1(B) 3-3(A) 4-4(F) 2-2(I) 4-4(E) 1-1(G) 3
-2(C) 3-3(H) 1-1(D) 1-1(G) 3-3(A) 4-4(F) 2-2(I) 4-4(B) 2-2(E) 3
-2(C) 3-3(H) 1-1(G) 3-3(A) 4-4(D) 2-2(E) 3-3(F) 1-1(B) 3-3(I) 3
-2(C) 3-3(H) 1-1(G) 3-3(F) 1-1(B) 3-3(I) 3-3(A) 4-4(D) 2-2(E) 3
-2(C) 3-3(I) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1-1(B) 3-3(F) 1-1(G) 3
-2(C) 3-3(I) 3-3(A) 4-4(F) 2-2(G) 4-4(E) 1-1(D) 1-1(B) 3-3(H) 1
-2(C) 3-3(I) 3-3(F) 1-1(D) 1-1(B) 3-3(A) 4-4(H) 2-2(G) 4-4(E) 1
-2(C) 3-3(I) 3-3(F) 1-1(D) 1-1(G) 3-3(A) 4-4(E) 1-1(B) 3-3(H) 1
-2(C) 3-3(I) 3-3(H) 1-1(B) 3-3(A) 4-4(D) 2-2(G) 4-4(F) 2-2(E) 3
-2(C) 3-3(I) 3-3(H) 1-1(D) 1-1(G) 3-3(A) 4-4(B) 2-2(E) 3-3(F) 1
-4(C) 1-1(B) 3-3(A) 4-4(D) 2-2(G) 4-4(H) 2-2(E) 3-3(I) 3-3(F) 1
-4(C) 1-1(B) 3-3(A) 4-4(D) 2-2(G) 4-4(H) 2-2(I) 4-4(F) 2-2(E) 3
-4(C) 1-1(B) 3-3(A) 4-4(F) 2-2(G) 4-4(H) 2-2(I) 4-4(E) 1-1(D) 1
-4(C) 1-1(B) 3-3(I) 3-3(A) 4-4(F) 2-2(G) 4-4(D) 2-2(E) 3-3(H) 1
-4(C) 1-1(D) 1-1(B) 3-3(A) 4-4(F) 2-2(E) 3-3(H) 1-1(G) 3-3(I) 3
-4(C) 1-1(D) 1-1(B) 3-3(A) 4-4(F) 2-2(I) 4-4(E) 1-1(G) 3-3(H) 1
-4(C) 1-1(D) 1-1(B) 3-3(H) 1-1(G) 3-3(A) 4-4(F) 2-2(I) 4-4(E) 1
-4(C) 1-1(D) 1-1(G) 3-3(F) 1-1(B) 3-3(A) 4-4(H) 2-2(E) 3-3(I) 3
-4(C) 1-1(D) 1-1(G) 3-3(F) 1-1(B) 3-3(I) 3-3(A) 4-4(H) 2-2(E) 3
-4(C) 1-1(G) 3-3(A) 4-4(B) 2-2(I) 4-4(F) 2-2(E) 3-3(H) 1-1(D) 1
-4(C) 1-1(G) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1-1(B) 3-3(I) 3-3(F) 1
-4(C) 1-1(G) 3-3(A) 4-4(D) 2-2(E) 3-3(I) 3-3(H) 1-1(B) 3-3(F) 1
-4(C) 1-1(G) 3-3(F) 1-1(D) 1-1(B) 3-3(A) 4-4(H) 2-2(E) 3-3(I) 3
-4(C) 1-1(G) 3-3(H) 1-1(B) 3-3(I) 3-3(A) 4-4(D) 2-2(E) 3-3(F) 1
 3(C)-2 2(B)-4 4(A)-3 3(E)-2 2(H)-4 4(G)-2 2(D)-4 4(I)-2 2(F)-4
 3(C)-2 2(B)-4 4(A)-3 3(I)-3 3(G)-1 1(D)-1 1(F)-3 3(E)-2 2(H)-4
 3(C)-2 2(B)-4 4(G)-2 2(F)-4 4(A)-3 3(E)-2 2(D)-4 4(I)-2 2(H)-4
 3(C)-2 2(B)-4 4(G)-2 2(F)-4 4(I)-2 2(H)-4 4(A)-3 3(E)-2 2(D)-4
 3(C)-2 2(B)-4 4(G)-2 2(H)-4 4(A)-3 3(E)-2 2(F)-4 4(I)-2 2(D)-4
 3(C)-2 2(B)-4 4(I)-2 2(F)-4 4(G)-2 2(D)-4 4(A)-3 3(E)-2 2(H)-4
 3(C)-2 2(B)-4 4(I)-2 2(H)-4 4(G)-2 2(D)-4 4(A)-3 3(E)-2 2(F)-4
 3(C)-2 2(D)-4 4(A)-3 3(B)-1 1(F)-3 3(G)-1 1(E)-4 4(I)-2 2(H)-4
 3(C)-2 2(D)-4 4(A)-3 3(E)-2 2(B)-4 4(G)-2 2(H)-4 4(I)-2 2(F)-4
 3(C)-2 2(D)-4 4(A)-3 3(E)-2 2(B)-4 4(I)-2 2(F)-4 4(G)-2 2(H)-4
 3(C)-2 2(D)-4 4(A)-3 3(G)-1 1(H)-3 3(I)-3 3(B)-1 1(F)-3 3(E)-2
 3(C)-2 2(D)-4 4(I)-2 2(F)-4 4(G)-2 2(H)-4 4(A)-3 3(B)-1 1(E)-4
 3(C)-2 2(D)-4 4(I)-2 2(H)-4 4(A)-3 3(B)-1 1(E)-4 4(G)-2 2(F)-4
 3(C)-2 2(D)-4 4(I)-2 2(H)-4 4(A)-3 3(G)-1 1(F)-3 3(B)-1 1(E)-4
 3(C)-2 2(F)-4 4(A)-3 3(B)-1 1(H)-3 3(G)-1 1(D)-1 1(E)-4 4(I)-2
 3(C)-2 2(F)-4 4(A)-3 3(E)-2 2(B)-4 4(G)-2 2(D)-4 4(I)-2 2(H)-4
 3(C)-2 2(F)-4 4(A)-3 3(E)-2 2(B)-4 4(G)-2 2(H)-4 4(I)-2 2(D)-4
 3(C)-2 2(F)-4 4(A)-3 3(I)-3 3(G)-1 1(D)-1 1(H)-3 3(B)-1 1(E)-4
 3(C)-2 2(F)-4 4(G)-2 2(D)-4 4(A)-3 3(E)-2 2(B)-4 4(I)-2 2(H)-4
 3(C)-2 2(F)-4 4(I)-2 2(D)-4 4(G)-2 2(H)-4 4(A)-3 3(B)-1 1(E)-4
 3(C)-2 2(F)-4 4(I)-2 2(H)-4 4(A)-3 3(E)-2 2(B)-4 4(G)-2 2(D)-4
 3(C)-2 2(F)-4 4(I)-2 2(H)-4 4(G)-2 2(D)-4 4(A)-3 3(B)-1 1(E)-4
 3(C)-2 2(H)-4 4(A)-3 3(B)-1 1(D)-1 1(F)-3 3(I)-3 3(G)-1 1(E)-4
 3(C)-2 2(H)-4 4(A)-3 3(B)-1 1(F)-3 3(I)-3 3(E)-2 2(D)-4 4(G)-2
 3(C)-2 2(H)-4 4(A)-3 3(I)-3 3(B)-1 1(F)-3 3(E)-2 2(D)-4 4(G)-2
 3(C)-2 2(H)-4 4(G)-2 2(B)-4 4(A)-3 3(E)-2 2(F)-4 4(I)-2 2(D)-4
-4(D) 2-2(C) 3-3(A) 4-4(B) 2-2(G) 4-4(F) 2-2(E) 3-3(I) 3-3(H) 1
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-4(D) 2-2(C) 3-3(I) 3-3(A) 4-4(F) 2-2(G) 4-4(B) 2-2(E) 3-3(H) 1
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-4(D) 2-2(E) 3-3(F) 1-1(G) 3-3(A) 4-4(B) 2-2(C) 3-3(I) 3-3(H) 1
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-4(D) 2-2(E) 3-3(I) 3-3(A) 4-4(B) 2-2(C) 3-3(F) 1-1(G) 3-3(H) 1
-4(D) 2-2(E) 3-3(I) 3-3(F) 1-1(G) 3-3(A) 4-4(B) 2-2(C) 3-3(H) 1
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-4(D) 2-2(G) 4-4(H) 2-2(C) 3-3(A) 4-4(B) 2-2(I) 4-4(F) 2-2(E) 3
-4(D) 2-2(I) 4-4(B) 2-2(G) 4-4(H) 2-2(C) 3-3(A) 4-4(F) 2-2(E) 3
-4(D) 2-2(I) 4-4(E) 1-1(B) 3-3(A) 4-4(H) 2-2(C) 3-3(F) 1-1(G) 3
-4(D) 2-2(I) 4-4(F) 2-2(E) 3-3(A) 4-4(B) 2-2(C) 3-3(H) 1-1(G) 3
-4(D) 2-2(I) 4-4(H) 2-2(E) 3-3(F) 1-1(B) 3-3(A) 4-4(C) 1-1(G) 3
-4(D) 2-2(I) 4-4(H) 2-2(G) 4-4(B) 2-2(C) 3-3(A) 4-4(F) 2-2(E) 3
 1(D)-1 1(C)-4 4(A)-3 3(E)-2 2(B)-4 4(I)-2 2(H)-4 4(G)-2 2(F)-4
 1(D)-1 1(C)-4 4(A)-3 3(G)-1 1(F)-3 3(E)-2 2(B)-4 4(I)-2 2(H)-4
 1(D)-1 1(C)-4 4(G)-2 2(F)-4 4(A)-3 3(B)-1 1(H)-3 3(I)-3 3(E)-2
 1(D)-1 1(C)-4 4(I)-2 2(H)-4 4(A)-3 3(E)-2 2(B)-4 4(G)-2 2(F)-4
 1(D)-1 1(E)-4 4(A)-3 3(B)-1 1(C)-4 4(G)-2 2(H)-4 4(I)-2 2(F)-4
 1(D)-1 1(E)-4 4(A)-3 3(G)-1 1(H)-3 3(C)-2 2(B)-4 4(I)-2 2(F)-4
 1(D)-1 1(F)-3 3(B)-1 1(C)-4 4(I)-2 2(H)-4 4(A)-3 3(G)-1 1(E)-4
 1(D)-1 1(F)-3 3(C)-2 2(H)-4 4(G)-2 2(B)-4 4(A)-3 3(I)-3 3(E)-2
 1(D)-1 1(F)-3 3(I)-3 3(B)-1 1(C)-4 4(A)-3 3(G)-1 1(H)-3 3(E)-2
 1(D)-1 1(F)-3 3(I)-3 3(B)-1 1(H)-3 3(G)-1 1(C)-4 4(A)-3 3(E)-2
 1(D)-1 1(H)-3 3(B)-1 1(C)-4 4(A)-3 3(G)-1 1(E)-4 4(I)-2 2(F)-4
 1(D)-1 1(H)-3 3(G)-1 1(E)-4 4(I)-2 2(B)-4 4(A)-3 3(C)-2 2(F)-4
 1(D)-1 1(H)-3 3(G)-1 1(F)-3 3(B)-1 1(C)-4 4(A)-3 3(I)-3 3(E)-2
 1(D)-1 1(H)-3 3(G)-1 1(F)-3 3(I)-3 3(C)-2 2(B)-4 4(A)-3 3(E)-2
 1(D)-1 1(H)-3 3(I)-3 3(B)-1 1(F)-3 3(G)-1 1(C)-4 4(A)-3 3(E)-2
 1(D)-1 1(H)-3 3(I)-3 3(C)-2 2(B)-4 4(A)-3 3(G)-1 1(F)-3 3(E)-2
-2(E) 3-3(A) 4-4(B) 2-2(G) 4-4(D) 2-2(I) 4-4(F) 2-2(C) 3-3(H) 1
-2(E) 3-3(A) 4-4(B) 2-2(G) 4-4(F) 2-2(I) 4-4(D) 2-2(C) 3-3(H) 1
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-2(E) 3-3(A) 4-4(F) 2-2(G) 4-4(D) 2-2(I) 4-4(C) 1-1(B) 3-3(H) 1
-2(E) 3-3(A) 4-4(F) 2-2(I) 4-4(B) 2-2(G) 4-4(D) 2-2(C) 3-3(H) 1
-2(E) 3-3(A) 4-4(H) 2-2(I) 4-4(B) 2-2(C) 3-3(F) 1-1(D) 1-1(G) 3
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-2(E) 3-3(F) 1-1(B) 3-3(I) 3-3(A) 4-4(C) 1-1(D) 1-1(G) 3-3(H) 1
-2(E) 3-3(H) 1-1(B) 3-3(A) 4-4(D) 2-2(C) 3-3(F) 1-1(G) 3-3(I) 3
-2(E) 3-3(H) 1-1(B) 3-3(A) 4-4(F) 2-2(I) 4-4(C) 1-1(D) 1-1(G) 3
-2(E) 3-3(H) 1-1(G) 3-3(A) 4-4(D) 2-2(I) 4-4(B) 2-2(C) 3-3(F) 1
-2(E) 3-3(I) 3-3(A) 4-4(F) 2-2(G) 4-4(C) 1-1(D) 1-1(B) 3-3(H) 1
-2(E) 3-3(I) 3-3(F) 1-1(D) 1-1(G) 3-3(A) 4-4(C) 1-1(B) 3-3(H) 1
-2(E) 3-3(I) 3-3(H) 1-1(B) 3-3(A) 4-4(C) 1-1(D) 1-1(G) 3-3(F) 1
-2(E) 3-3(I) 3-3(H) 1-1(G) 3-3(A) 4-4(C) 1-1(D) 1-1(B) 3-3(F) 1
 1(E)-4 4(A)-3 3(B)-1 1(H)-3 3(C)-2 2(F)-4 4(G)-2 2(D)-4 4(I)-2
 1(E)-4 4(A)-3 3(G)-1 1(H)-3 3(B)-1 1(F)-3 3(C)-2 2(D)-4 4(I)-2
 1(E)-4 4(A)-3 3(I)-3 3(B)-1 1(F)-3 3(C)-2 2(D)-4 4(G)-2 2(H)-4
 1(E)-4 4(A)-3 3(I)-3 3(B)-1 1(H)-3 3(C)-2 2(D)-4 4(G)-2 2(F)-4
 1(E)-4 4(I)-2 2(B)-4 4(A)-3 3(G)-1 1(D)-1 1(F)-3 3(C)-2 2(H)-4
 3(E)-2 2(B)-4 4(A)-3 3(C)-2 2(D)-4 4(G)-2 2(F)-4 4(I)-2 2(H)-4
 3(E)-2 2(B)-4 4(A)-3 3(G)-1 1(D)-1 1(F)-3 3(I)-3 3(C)-2 2(H)-4
 3(E)-2 2(B)-4 4(A)-3 3(I)-3 3(G)-1 1(D)-1 1(H)-3 3(C)-2 2(F)-4
 3(E)-2 2(B)-4 4(G)-2 2(D)-4 4(I)-2 2(F)-4 4(A)-3 3(C)-2 2(H)-4
 3(E)-2 2(D)-4 4(A)-3 3(B)-1 1(F)-3 3(G)-1 1(C)-4 4(I)-2 2(H)-4
 3(E)-2 2(D)-4 4(I)-2 2(B)-4 4(A)-3 3(G)-1 1(H)-3 3(C)-2 2(F)-4
 3(E)-2 2(D)-4 4(I)-2 2(H)-4 4(A)-3 3(B)-1 1(C)-4 4(G)-2 2(F)-4
 3(E)-2 2(F)-4 4(A)-3 3(G)-1 1(D)-1 1(H)-3 3(C)-2 2(B)-4 4(I)-2
 3(E)-2 2(F)-4 4(I)-2 2(B)-4 4(A)-3 3(C)-2 2(D)-4 4(G)-2 2(H)-4
 3(E)-2 2(F)-4 4(I)-2 2(D)-4 4(G)-2 2(B)-4 4(A)-3 3(C)-2 2(H)-4
 3(E)-2 2(H)-4 4(A)-3 3(B)-1 1(D)-1 1(C)-4 4(I)-2 2(F)-4 4(G)-2
-4(E) 1-1(B) 3-3(A) 4-4(F) 2-2(G) 4-4(D) 2-2(C) 3-3(I) 3-3(H) 1
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-4(E) 1-1(B) 3-3(F) 1-1(D) 1-1(G) 3-3(A) 4-4(H) 2-2(C) 3-3(I) 3
-4(E) 1-1(B) 3-3(F) 1-1(G) 3-3(A) 4-4(D) 2-2(C) 3-3(I) 3-3(H) 1
-4(E) 1-1(B) 3-3(I) 3-3(H) 1-1(G) 3-3(A) 4-4(D) 2-2(C) 3-3(F) 1
-4(E) 1-1(D) 1-1(B) 3-3(A) 4-4(F) 2-2(C) 3-3(I) 3-3(H) 1-1(G) 3
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-4(F) 2-2(C) 3-3(A) 4-4(E) 1-1(D) 1-1(G) 3-3(H) 1-1(B) 3-3(I) 3
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-4(F) 2-2(E) 3-3(A) 4-4(D) 2-2(G) 4-4(B) 2-2(C) 3-3(I) 3-3(H) 1
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-4(F) 2-2(G) 4-4(H) 2-2(E) 3-3(A) 4-4(C) 1-1(D) 1-1(B) 3-3(I) 3
-4(F) 2-2(I) 4-4(B) 2-2(C) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1-1(G) 3
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-4(F) 2-2(I) 4-4(C) 1-1(B) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1-1(G) 3
-4(F) 2-2(I) 4-4(D) 2-2(E) 3-3(A) 4-4(B) 2-2(C) 3-3(H) 1-1(G) 3
-4(F) 2-2(I) 4-4(E) 1-1(G) 3-3(A) 4-4(C) 1-1(D) 1-1(B) 3-3(H) 1
 1(F)-3 3(B)-1 1(C)-4 4(A)-3 3(E)-2 2(D)-4 4(G)-2 2(H)-4 4(I)-2
 1(F)-3 3(B)-1 1(C)-4 4(G)-2 2(D)-4 4(A)-3 3(I)-3 3(E)-2 2(H)-4
 1(F)-3 3(B)-1 1(D)-1 1(E)-4 4(A)-3 3(I)-3 3(C)-2 2(H)-4 4(G)-2
 1(F)-3 3(B)-1 1(E)-4 4(A)-3 3(I)-3 3(C)-2 2(D)-4 4(G)-2 2(H)-4
 1(F)-3 3(C)-2 2(B)-4 4(I)-2 2(D)-4 4(A)-3 3(E)-2 2(H)-4 4(G)-2
 1(F)-3 3(C)-2 2(H)-4 4(G)-2 2(D)-4 4(A)-3 3(E)-2 2(B)-4 4(I)-2
 1(F)-3 3(E)-2 2(D)-4 4(A)-3 3(C)-2 2(B)-4 4(I)-2 2(H)-4 4(G)-2
 1(F)-3 3(E)-2 2(D)-4 4(A)-3 3(I)-3 3(B)-1 1(C)-4 4(G)-2 2(H)-4
 1(F)-3 3(E)-2 2(H)-4 4(A)-3 3(C)-2 2(D)-4 4(G)-2 2(B)-4 4(I)-2
 1(F)-3 3(G)-1 1(D)-1 1(E)-4 4(A)-3 3(C)-2 2(B)-4 4(I)-2 2(H)-4
 1(F)-3 3(I)-3 3(B)-1 1(C)-4 4(G)-2 2(D)-4 4(A)-3 3(E)-2 2(H)-4
 1(F)-3 3(I)-3 3(C)-2 2(D)-4 4(A)-3 3(B)-1 1(E)-4 4(G)-2 2(H)-4
 3(G)-1 1(D)-1 1(E)-4 4(A)-3 3(B)-1 1(H)-3 3(C)-2 2(F)-4 4(I)-2
 3(G)-1 1(D)-1 1(F)-3 3(C)-2 2(H)-4 4(A)-3 3(E)-2 2(B)-4 4(I)-2
 3(G)-1 1(D)-1 1(F)-3 3(I)-3 3(B)-1 1(C)-4 4(A)-3 3(E)-2 2(H)-4
 3(G)-1 1(D)-1 1(F)-3 3(I)-3 3(E)-2 2(B)-4 4(A)-3 3(C)-2 2(H)-4
 3(G)-1 1(F)-3 3(B)-1 1(E)-4 4(I)-2 2(D)-4 4(A)-3 3(C)-2 2(H)-4
 3(G)-1 1(F)-3 3(E)-2 2(B)-4 4(A)-3 3(C)-2 2(D)-4 4(I)-2 2(H)-4
 3(G)-1 1(H)-3 3(B)-1 1(D)-1 1(C)-4 4(A)-3 3(E)-2 2(F)-4 4(I)-2
-2(G) 4-4(B) 2-2(I) 4-4(F) 2-2(C) 3-3(A) 4-4(D) 2-2(E) 3-3(H) 1
-2(G) 4-4(D) 2-2(E) 3-3(A) 4-4(B) 2-2(I) 4-4(F) 2-2(C) 3-3(H) 1
-2(G) 4-4(D) 2-2(I) 4-4(F) 2-2(C) 3-3(A) 4-4(B) 2-2(E) 3-3(H) 1
-2(G) 4-4(F) 2-2(C) 3-3(A) 4-4(D) 2-2(I) 4-4(B) 2-2(E) 3-3(H) 1
-4(H) 2-2(C) 3-3(A) 4-4(E) 1-1(B) 3-3(F) 1-1(D) 1-1(G) 3-3(I) 3
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-4(H) 2-2(E) 3-3(F) 1-1(B) 3-3(A) 4-4(C) 1-1(D) 1-1(G) 3-3(I) 3
 1(H)-3 3(B)-1 1(C)-4 4(A)-3 3(E)-2 2(D)-4 4(G)-2 2(F)-4 4(I)-2
 1(H)-3 3(B)-1 1(E)-4 4(G)-2 2(D)-4 4(A)-3 3(C)-2 2(F)-4 4(I)-2
 1(H)-3 3(B)-1 1(F)-3 3(C)-2 2(D)-4 4(A)-3 3(G)-1 1(E)-4 4(I)-2
 1(H)-3 3(C)-2 2(B)-4 4(G)-2 2(F)-4 4(A)-3 3(E)-2 2(D)-4 4(I)-2
 1(H)-3 3(C)-2 2(D)-4 4(G)-2 2(B)-4 4(A)-3 3(E)-2 2(F)-4 4(I)-2
 1(H)-3 3(E)-2 2(D)-4 4(A)-3 3(B)-1 1(C)-4 4(G)-2 2(F)-4 4(I)-2
 1(H)-3 3(E)-2 2(F)-4 4(G)-2 2(D)-4 4(A)-3 3(B)-1 1(C)-4 4(I)-2
 1(H)-3 3(G)-1 1(C)-4 4(A)-3 3(B)-1 1(F)-3 3(E)-2 2(D)-4 4(I)-2
 1(H)-3 3(G)-1 1(F)-3 3(C)-2 2(D)-4 4(A)-3 3(E)-2 2(B)-4 4(I)-2

  Posted by Charlie on 2005-12-12 15:35:36
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