perplexus.info :: Logic : Off and On

Off and On (Posted on 2017-01-29)

When completed, the below tableau will have five 1's and five 0's in each row and in each column. Within any row or column, no three zeros or ones will be in successive positions--two in a row of either is a max (but there's no limit diagonally).

Complete the fill with 1's and 0's in accordance with the above rules.


+---+---+---+---+---+---+---+---+---+---+
| 0 |   |   |   | 0 |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
| 0 |   |   |   | 1 |   | 1 |   | 1 |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   | 0 |   | 0 |   |   |   | 0 |
+---+---+---+---+---+---+---+---+---+---+
| 1 |   |   |   |   |   |   |   | 0 | 0 |
+---+---+---+---+---+---+---+---+---+---+
|   |   | 0 | 0 |   |   | 0 |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   | 0 |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   | 0 |   |   |   | 1 |
+---+---+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   | 1 |   |   |   |
+---+---+---+---+---+---+---+---+---+---+
|   |   | 1 |   | 0 |   | 0 | 0 |   | 0 |
+---+---+---+---+---+---+---+---+---+---+

From Brain Games 2017 calendar, Frank Coussement and Peter de Shepper (Brain Snack), Calendar Ink, Austin, TX, puzzle for January 12.

See The Solution Submitted by Charlie

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution

| Comment 1 of 2

There is a unique solution:

+---+---+---+---+---+---+---+---+---+---+ | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | +---+---+---+---+---+---+---+---+---+---+ | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | +---+---+---+---+---+---+---+---+---+---+ | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | +---+---+---+---+---+---+---+---+---+---+ | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | +---+---+---+---+---+---+---+---+---+---+ | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | +---+---+---+---+---+---+---+---+---+---+ | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | +---+---+---+---+---+---+---+---+---+---+ | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | +---+---+---+---+---+---+---+---+---+---+ | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | +---+---+---+---+---+---+---+---+---+---+ | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | +---+---+---+---+---+---+---+---+---+---+ | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | +---+---+---+---+---+---+---+---+---+---+

Posted by Steve Herman on 2017-01-29 21:20:04

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