Puzzle Genius

Bricks

Bricks is a Suduko-like puzzle played on a square grid. The aim is to fill the grid with numbers. Here’s what a small Bricks puzzle looks like:

bricks sample puzzle

Rules of Bricks

The rules of Bricks are as follows:

  • Fill the grid such that each row and column contain all the numbers from 1 to the size of the puzzle once and only once (i.e. 1-6 in a 6x6 puzzle, 1-7 in a 7x7 puzzle, and so on).
  • Each brick must contain one odd and one even number.

Here’s what the earlier example puzzle looks like when solved:

bricks sample puzzle - solution

Solving Bricks Puzzles

Bricks puzzles are solved through a process of logical deduction. By narrowing down placement possibilities for each digit, you can gradually fill in the grid. Here are some tips to help you get started. In a moment, we’ll work through an example puzzle to see the theory in action.

  • If there are any easy wins, fill those in first. Easy wins in Bricks would be any row or column that is missing just one number.
  • Scan each column for each number in turn and see if there are limited placement opportunities based on the numbers in the crossing rows. Then do the same for rows.
  • In more complex puzzles, you can write in small candidate numbers like in Sudoku. These will help narrow your placement options later.
  • Remember to use the rule about every brick having an odd and even number to restrict your placement possibilities – often this will lead to a single cell being available for a given number.
  • When you fill in a cell, check for any consequences it may have.

Worked Example

All our puzzles have a unique solution, but there are lots of ways to reach it. This example is not intended to show the best way, or even the most optimal way to solve the puzzle. It is simply a way of showing some of the techniques you can use do to so.

Bricks worked example 1

This is the puzzle we will be working on. It’s a Level 1 puzzle – small, and, with almost half the numbers already filled in, easy. There are no complex chains of logic necessary to solve it.

Being a 6x6 grid, we are looking to fill each row and column with the numbers 1 through to 6.


Bricks worked example 2

Although it’s an easy puzzle, there are no rows or columns with only one digit missing, so we’re going to have a look a little bit harder to find where to start.

This column is only missing a 3 and a 4. Neither row that crosses it contain a 3 or a 4, so we cannot use the rows to determine which empty cell contains which number. But we can use the fact that every brick must contain an odd and even number.


Bricks worked example 3

This brick contains a 6, so it cannot also contain a 4 because that breaks the rule. Therefore this empty cell must contain the 3, leaving the first cell in the column to take the 4.


Bricks worked example 4

This top row now only has two empty cells remaining (a consequence of filling in that 4). As such, it’s probably easy to complete. It’s missing a 3 and a 5. Checking the two columns that cross the empty cells, we can see that one of them has a 3 in it already, so must take the 5. That leaves the 3 to go in the top left.


Bricks worked example 5

The 3 in the top-left corner doesn’t help get us any further. The 5 we just filled in is more useful though. Now we have this column with only two empty cells, and we need to fill them with a 2 and a 4. There’s a 2 already in the crossing row at the bottom, so that tells us how to complete this column.


Bricks worked example 6

The knock-on effect of filling in the 2 in that column is that this row is now only missing a 3 and a 4. The 3 in the first crossing column tells us that the first cell cannot contain a 3 (because that would be two 3s in the same column, which is not allowed). So the 4 goes in the first cell and the 3 in the last one.


Bricks worked example 7

Here’s another row with only two missing numbers. We need to find homes for the 3 and the 6. That 3 in the top-right corner again tells us which goes where. Turns out filling in that 3 earlier on was quite useful after all.

Note that we could also have solved row by looking at the brick containing the 4. It could not take the 6 because that would put two even numbers in the same brick, which isn't allowed. As I said, there are lots of ways of reaching the solution!


Bricks worked example 8

Here’s a column missing a 3 and a 4. Can you see where they go? It’s pretty easy to work out, there are two different means of determining which number goes where.


Bricks worked example 9

Filling in that last 4 makes it possible to complete this column now. It needs a 2 and a 4, and since we already have a 4 in one of the rows, we know which number goes in which cell.


Bricks worked example 10

Nearly there now. This row needs a 2 and a 4. The first crossing column already contains a 4, so it will have to go in the last cell, leaving the first one to take the 2.


Bricks worked example 11

This row needs a 5 and 6. Again, the first crossing column has a 6 already, so that's all the information we need.


Bricks worked example 12

That just leaves these two columns, each of which are missing a single digit – it doesn’t get any easier than that!


Bricks worked example 13

And that’s it, we’re all done. I said it was an easy one! Did you get to the end before finishing this example? Ready to try something a little harder? Read on…


Try Bricks Yourself

We’ve put together a taster of four puzzles for you, including the example above. You can download and print the PDF below. Solutions are included in case you get stuck, but no cheating!

Download Our Bricks Taster

Where To Play

Puzzle Weekly Presents: Bricks - Cover

Want to try your hand at Bricks? We have options! There's Puzzle Weekly Presents: Bricks, which includes 120 puzzles (one per page) over seven levels of difficulty. It's amazing value.

We also include seven levels of Bricks puzzles in Puzzle Weekly from time to time. Puzzle Weekly is our free weekly magazinefind out more, and get your copy, here.

Puzzle Genius is an imprint of Shelfless.
Copyright ©Shelfless  —   All rights reserved