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 Only 6īs and 9īs (Posted on 2005-11-14)
Look at the 3x3 grid below :
```             (3) (1) (6)
+---+---+---+
(2) | 6 | 6 | 9 |
+---+---+---+
(5) | 9 | 6 | 9 |
+---+---+---+
(4) | 9 | 6 | 6 |
+---+---+---+```
To fill it, we used only the digits 6 and 9, achieving 6 different three-digit numbers, three horizontally and three vertically. The (1) outside the second column indicates that 666 is the first number, when the six numbers are arranged in ascending order. The (4) outside of the third row indicates that 966 is the fourth number in the sequence, etc... Thus, reading the six numbers in the grid, following the sequence showed by the outside numbers, we have : 666 / 669 / 699 / 966 / 969 / 996.

Using the same rule above, fill the three 4x4 grids below (note, you can use only the digits 6 and 9 to fill each grid, and you have no restrictions on how many 6īs or how many 9īs you may use).
```       (3) (7) (6) (4)          (3) (2) (8) (5)          (2) (4) (5) (6)
+---+---+---+---+        +---+---+---+---+        +---+---+---+---+
(5) |   |   |   |   |    (1) |   |   |   |   |    (1) |   |   |   |   |
+---+---+---+---+        +---+---+---+---+        +---+---+---+---+
(2) |   |   |   |   |    (7) |   |   |   |   |    (7) |   |   |   |   |
+---+---+---+---+        +---+---+---+---+        +---+---+---+---+
(8) |   |   |   |   |    (6) |   |   |   |   |    (3) |   |   |   |   |
+---+---+---+---+        +---+---+---+---+        +---+---+---+---+
(1) |   |   |   |   |    (4) |   |   |   |   |    (8) |   |   |   |   |
+---+---+---+---+        +---+---+---+---+        +---+---+---+---+```

 See The Solution Submitted by pcbouhid Rating: 3.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Clarification | Comment 2 of 7 |
(In reply to Clarification by goFish)

Indeed it would be impossible for the bottom row, for example, to be both the smallest number and the largest number of the 8 numbers formed, so they must be separate problems.

I have an answer also, but being a computer-generated one, I'm waiting for a manual solution to appear first.

 Posted by Charlie on 2005-11-14 09:33:26
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