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SUDOKU #2 |
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| I'm going to repeat the info at the top of Sudoku #1, just in
case you haven't seen that one yet. |
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| I've been doing Sudoku
for a while. There are a lot of people
like me who have figured out some tricks or techniques that help them
complete the puzzles. This page is not
really for them. I met a woman
recently who was just starting to try to do Sudoku. This page is for people like her. I'm not saying that I know every single
trick, but I know enough to complete most puzzles. |
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| The basic rules of
Sudoku are that there is only one of each number in each row, column, and 9
square grid. There isn't any
mathematics or arithmetic. If you know
how to count from 1 to 9, then you can do these puzzles. All of the techniques are based on this
rule. |
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| Here is a sample Sudoku
puzzle. |
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1 |
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9 |
6 |
2 |
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5 |
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8 |
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6 |
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6 |
3 |
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4 |
7 |
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6 |
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8 |
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5 |
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4 |
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2 |
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2 |
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3 |
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7 |
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6 |
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1 |
4 |
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9 |
3 |
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5 |
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4 |
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3 |
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9 |
2 |
7 |
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1 |
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| This is a medium
difficulty puzzle, and it will allow me to show some examples of a few of the
tricks that I've uncovered. I've added
the letters below to the rows and columns in order to talk about each of the
81 squares. As a convention, I will
talk about squares and boxes. There
are 81 squares, but there are 9 boxes of 9 squares. |
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A |
1 |
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9 |
6 |
2 |
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5 |
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B |
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8 |
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6 |
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C |
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6 |
3 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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4 |
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E |
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2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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9 |
3 |
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H |
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5 |
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4 |
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I |
3 |
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9 |
2 |
7 |
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1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| The first technique that
I will use is the lines of influence concept.
This is what I mean. There is a
1 at AJ and another at IR, so there can't be another 1 in row A or column
R. So there has to be a 1 at BP. |
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A |
1 |
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9 |
6 |
2 |
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5 |
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B |
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8 |
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1 |
6 |
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C |
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6 |
3 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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4 |
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E |
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2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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9 |
3 |
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H |
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5 |
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4 |
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I |
3 |
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9 |
2 |
7 |
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1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 4 in columns P and R, and there are
4s in rows G and H, so there has to be a 4 at IQ. |
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A |
1 |
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9 |
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2 |
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5 |
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B |
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8 |
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1 |
6 |
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C |
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6 |
3 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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4 |
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E |
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2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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9 |
3 |
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H |
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5 |
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4 |
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I |
3 |
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9 |
2 |
7 |
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4 |
1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 2 in column J
and another in row I, so there has to be a 2 in HL. |
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A |
1 |
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9 |
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2 |
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5 |
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B |
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8 |
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1 |
6 |
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C |
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6 |
3 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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4 |
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E |
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2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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9 |
3 |
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H |
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5 |
2 |
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4 |
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I |
3 |
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9 |
2 |
7 |
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4 |
1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 3 in columns
M and N, and there is a 3 in row I, so there has to be a 3 at HO. |
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A |
1 |
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9 |
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5 |
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B |
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8 |
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1 |
6 |
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C |
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6 |
3 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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4 |
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E |
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2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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9 |
3 |
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H |
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5 |
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4 |
3 |
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I |
3 |
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9 |
2 |
7 |
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4 |
1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 6 in columns J
and L, so there has to be a 6 in IK.
There is a 6 in columns Q and R, and now there is a 6 in row I, so
there has to be a 6 in HP. There is a
6 in column O, so there has to be a 6 in EM.
The final 6 goes in GN. So
there has to be a 1 in CN. |
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A |
1 |
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9 |
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2 |
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5 |
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B |
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8 |
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1 |
6 |
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C |
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6 |
3 |
1 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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4 |
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E |
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6 |
2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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6 |
9 |
3 |
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H |
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5 |
2 |
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4 |
3 |
6 |
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I |
3 |
6 |
9 |
2 |
7 |
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4 |
1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 2 in rows E
and F, and there is a 2 in column P, so there has to be a 2 in DQ. There is a 2 in columns P and Q, and there
is a 2 in row H, so there has to be a 2 in GR. |
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A |
1 |
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9 |
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5 |
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B |
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8 |
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6 |
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C |
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6 |
3 |
1 |
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4 |
7 |
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D |
6 |
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8 |
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5 |
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2 |
4 |
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E |
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6 |
2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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6 |
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2 |
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H |
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4 |
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6 |
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I |
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6 |
9 |
2 |
7 |
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4 |
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J |
K |
L |
M |
N |
O |
P |
Q |
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| There is a 3 in row F and
in column P, so the 3 in box DP-FR is either in EQ or ER. That means that there can't be a 3 in row E
in the other two boxes to the left.
There already is one in the center box in row F, so the one in box
DJ-FL has to be in row D at square DK. |
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A |
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9 |
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B |
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8 |
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6 |
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C |
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6 |
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1 |
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4 |
7 |
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D |
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3 |
8 |
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2 |
4 |
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E |
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6 |
2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
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1 |
4 |
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6 |
9 |
3 |
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2 |
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H |
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4 |
3 |
6 |
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I |
3 |
6 |
9 |
2 |
7 |
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4 |
1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
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| There is a 7 in row I and
one in column Q, so there has to be a 7 in HR. That means that there is a 7 in GJ, which
leaves the 8 in HJ. |
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A |
1 |
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9 |
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B |
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8 |
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6 |
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C |
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6 |
3 |
1 |
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4 |
7 |
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D |
6 |
3 |
8 |
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5 |
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2 |
4 |
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E |
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6 |
2 |
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F |
2 |
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3 |
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7 |
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6 |
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G |
7 |
1 |
4 |
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6 |
9 |
3 |
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2 |
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H |
8 |
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2 |
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4 |
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6 |
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7 |
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I |
3 |
6 |
9 |
2 |
7 |
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4 |
1 |
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J |
K |
L |
M |
N |
O |
P |
Q |
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| There is a 9 in rows G
and I, so there has to be a 9 in HQ and therefore a 1 in HM. |
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A |
1 |
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