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This is an example of a completed Futoshiki grid. The rules for Futoshiki are similar to the rules
for Sudoku. This is a 7x7 puzzle, and for this puzzle, each row and column must contain the numbers
1-7 once and only once. This is very similar to the rules of Sudoku. Futoshiki puzzles come in different
sizes, so a 5x5 puzzle would need to have the numbers 1-5 in every row and column, for example.

Additionally, we also have arrows that give us additional clues. The arrows between the cells tell you which cells
have the bigger number. A < symbol means the number on the left is smaller than the number on the right.
A > symbol means the number on the right is smaller than the number on the left, and this symbol works
the same way when it is vertically between cells.

This is an example of a Medium Futoshiki puzzle - in a harder Futoshiki you are given fewer starting
cells, and you are also given fewer > and < relations.

This is one of our easy puzzles. The best place to start with a Futoshiki puzzle is to look at
inequalities where you are given one side already, or where you have a few inequality signs chained together.

I have highlighted three cells that we can fill in straight away. Look at the highlighted cell to the
left of the '2', the < tells us it's smaller than 2, so it has to be 1! That was easy!

The highlighted cell to the right of the '2' is a little harder. By chaining the inequality signs, we
know that the highlighted cell must be bigger than 5 other cells. All 5 of those cells are in the same
row, so we also know that none of them can be duplicated, so this highlighted cell must be a '6'.

Once you have filled in all the obvious cell, you will have to start using pencil marks. The highlighted
cell at the bottom of the puzzle is a good candidate. We know it has to be bigger than 4 other cells, but
you need to be careful, they're not all in the same row/column, some of those might be duplicated, i.e.
with just this information, the smallest this cell could be is 4, and not 5 as you might expect. However,
the existing '2's in the puzzle mean that this cell can't be 4, so this cell must be 5 or 6.

This is an example of a medium starting grid. You will need to make extensive use of pencil marks on hard
Futoshiki puzzles.

Look at the highlighted cell, by chaining the inequality signs together we can see that this cell must be
bigger than 3 other cells, giving us a minimum value of 4. The 9 already in the column, and the 8 already
in the row, gives us a maximum of 7. This gives us pencil marks of 4, 5, 6, 7 for this cell. We can also
write in pencil marks for the other cells in this chaing, the cell to the left would be 3, 4, 5, 6, for
example.

By filling in the pencil marks using this information, we can then start to apply more advanced
pencil-mark techniques on this puzzle.

There are two ways to play a Sudoku puzzle, you can just use the mouse/touchscreen, or you can use the mouse and keyboard. You can switch between the two methods any time you like, and can use a combination of both.

- When you have found a square where you can enter a number, click/touch that square. The square will turn light blue.

Above and below the puzzle is the number selection. Click/touch the number you want to enter in to that cell. If there is already a number in that square, it will be over-written. - If you want to enter a pencil mark, click/touch the square you want to put in a pencil mark. It will turn light blue.
Click/touch the pencil icon above or below the puzzle. This icon will turn light blue, and you are now in pencil marks mode.

Whenever you click/touch a number now, a pencil mark will be put in the square instead. To remove a number as a pencil mark, make sure you are in pencil marks mode, and click/touch the number again.

You can exit pencil mark mode by clicking/touching the pencil icon, it will turn back to normal. - If you want to clear a particular square, make sure that square is selected and is in light blue. Click/touch the eraser icon. If there is a number in that square, it will be removed. If you click/touch it again, any pencil marks in that square will be removed.

- You will need to select a square by clicking on it with the mouse, it will turn light blue. You can change the current square by using the cursor keys on your keyboard.
- To enter a number, press that number on the keyboard. If there is already a number in that square, it will be overwritten. To remove a number, press the backspace or delete key on your keyboard.
- To enter a pencil mark, press control, shift, or alt on your keyboard at the same time as pressing a number key. Do the same thing again to remove that pencil mark.

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