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|Last Remaining Cell in a Box
This easy puzzle will demonstrate 'eyeballing'. It is best to start with boxes as they are the easiest shape to work with. Box 7 seems rather crowded with four clues so it's a good bet that some of these cells can be filled quickly. Looking at the 8s on board I can see that the 8 in D3 occupies the whole column and prohibits any 8 in H3 and J3. Likewise the 8 in G5 fills in the whole row preventing any 8 from being placed in G1 and G2.
So the last remaining cell in box 7 for an 8 is H1.
Last number in a Box: Load Example
|Last Remaining Cell in a Row
When you have scanned the boxes for obvious solutions check the rows and columns. The arrangement of 4s on this board suggest something in the first row, row A. We have a 4 in G3 which occupies the space in A3. Likewise the 4 in F7 removes A7 as a placement for 4. And the 4 in box 2 uses up all the places in A4, A5 and A6.
So the last remaining cell for 4 in the row is A2.
Last number in a row
Sometimes there are several reasons for a placement. This four in J8 is a great example. In blue I have shown that 4 in J8 is the last remaining number in terms of the box it is in. The red lines (plus blue lines) show it is the last number in column 8 and the green lines demonstrate it is the last number in row J.
This 4 has been pinned to the board quite conclusively.
Last number in row, columns and box
|The Last Possible Number
Eyeballing is actually quicker than checking each cell for the last possible number, but it is a valid approach, so I include it here. It is the sort of strategy a beginner thinks of when faced with the puzzle for the first time. It is best used when a cell stands out because all the other numbers seem to be in place.
Here the 5 in B1 can be determined because every other number from 1 to 9 apart from 5 is present in either the row, column or box (marked in green).
The Last Possible Number