perplexus.info :: General : Nine square pieces

Nine square pieces (Posted on 2005-12-11)

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)

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re(3): For those who wanna try... random sampling ... computer used

Comment 9 of 9 |

(In reply to re(2): For those who wanna try... random sampling ... computer used by pcbouhid)

You'd get 288 solutions, or 576 counting reversals:

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

The program:

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, nUsed(4)

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
      IF soFar > 0 THEN
       nUsed(ABS(lft)) = nUsed(ABS(lft)) + 1
      END IF
      IF nUsed(ABS(lft)) < 3 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
      IF soFar > 0 THEN
       nUsed(ABS(lft)) = nUsed(ABS(lft)) - 1
      END IF
    END IF
   NEXT rot
   used(p) = 0
END IF
NEXT
END SUB

Posted by Charlie on 2005-12-12 16:17:23

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