perplexus.info :: Numbers : Just ones and nines

Just ones and nines (Posted on 2008-12-03)

See the example below. Using only 1愀 and 9愀, the 3x3 grid is filled so the 6 three-digit numbers so formed (in the 3 rows and 3 columns) are in the ascending order shown by the numbers around the grid:

      3   1   6
    +---+---+---+
  2 | 1 | 1 | 9 |
    +---+---+---+
  5 | 9 | 1 | 9 |
    +---+---+---+
  4 | 9 | 1 | 1 |
    +---+---+---+

That is, the 1st is in the 2nd column (111), the 2nd is in the 1st row (119), the 3rd is in the 1st column (199), and so on.

Do the same with these three 4x4 grids.

      3   7   6   4         3   2   8   5         2   4   5   6
    +---+---+---+---+     +---+---+---+---+     +---+---+---+---+
  5 |   |   |   |   |   1 |   |   |   |   |   1 |   |   |   |   |
    +---+---+---+---+     +---+---+---+---+     +---+---+---+---+
  2 |   |   |   |   |   7 |   |   |   |   |   7 |   |   |   |   |
    +---+---+---+---+     +---+---+---+---+     +---+---+---+---+
  8 |   |   |   |   |   6 |   |   |   |   |   3 |   |   |   |   |
    +---+---+---+---+     +---+---+---+---+     +---+---+---+---+
  1 |   |   |   |   |   4 |   |   |   |   |   8 |   |   |   |   |
    +---+---+---+---+     +---+---+---+---+     +---+---+---+---+

Submitted by pcbouhid

No Rating

Solution: (Hide)

3 7 6 4 3 2 8 5 2 4 5 6 +---+---+---+---+ +---+---+---+---+ +---+---+---+---+ 5 | 1 | 9 | 9 | 9 | 1 | 1 | 1 | 9 | 9 | 1 | 1 | 1 | 9 | 9 | +---+---+---+---+ +---+---+---+---+ +---+---+---+---+ 2 | 1 | 1 | 1 | 9 | 7 | 9 | 9 | 9 | 1 | 7 | 9 | 9 | 1 | 9 | +---+---+---+---+ +---+---+---+---+ +---+---+---+---+ 8 | 9 | 9 | 1 | 1 | 6 | 9 | 1 | 9 | 1 | 3 | 1 | 9 | 9 | 1 | +---+---+---+---+ +---+---+---+---+ +---+---+---+---+ 1 | 1 | 1 | 1 | 1 | 4 | 1 | 9 | 9 | 9 | 8 | 9 | 9 | 9 | 1 | +---+---+---+---+ +---+---+---+---+ +---+---+---+---+

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-05-21 02:39:12
Same results!	rod hines	2008-12-03 18:37:43
computer solution	Charlie	2008-12-03 18:20:24

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