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SUDOKU #12 |
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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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9 |
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7 |
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6 |
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2 |
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1 |
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8 |
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1 |
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7 |
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4 |
9 |
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9 |
4 |
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3 |
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7 |
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8 |
3 |
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1 |
5 |
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6 |
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9 |
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3 |
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5 |
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1 |
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2 |
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6 |
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3 |
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| This is an Evil
difficulty puzzle (harder than Hard), 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 |
9 |
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7 |
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6 |
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B |
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2 |
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1 |
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8 |
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C |
1 |
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7 |
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4 |
9 |
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D |
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9 |
4 |
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E |
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3 |
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7 |
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F |
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8 |
3 |
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G |
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1 |
5 |
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6 |
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9 |
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H |
3 |
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5 |
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1 |
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I |
2 |
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6 |
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3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 7 in BP
(because of AL, CN, and EQ). So there
is a 7 in HR. |
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A |
9 |
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7 |
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6 |
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B |
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2 |
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1 |
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7 |
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8 |
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C |
1 |
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7 |
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4 |
9 |
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D |
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9 |
4 |
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E |
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3 |
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7 |
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F |
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8 |
3 |
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G |
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1 |
5 |
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6 |
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9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
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3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 9 in EP (because of
CQ, GR, and DL). There is a 1 in AP
(because of CJ, BM, and HQ). |
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A |
9 |
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7 |
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1 |
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6 |
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B |
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2 |
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1 |
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7 |
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8 |
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C |
1 |
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7 |
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4 |
9 |
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D |
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9 |
4 |
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E |
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3 |
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9 |
7 |
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F |
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8 |
3 |
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G |
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1 |
5 |
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6 |
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9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
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3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 5 in IQ
(because of GL and HO), a 5 in CR (because of IQ), and a 5 in DP (because of
CR and IQ). |
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A |
9 |
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7 |
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1 |
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6 |
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B |
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2 |
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1 |
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7 |
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8 |
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C |
1 |
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7 |
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4 |
9 |
5 |
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D |
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9 |
4 |
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5 |
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E |
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3 |
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9 |
7 |
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F |
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8 |
3 |
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G |
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1 |
5 |
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6 |
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9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
5 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 2 in AQ
(because of BK), so there is a 3 in BQ. |
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A |
9 |
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7 |
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1 |
2 |
6 |
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B |
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2 |
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1 |
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7 |
3 |
8 |
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C |
1 |
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7 |
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4 |
9 |
5 |
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D |
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9 |
4 |
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5 |
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E |
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3 |
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9 |
7 |
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F |
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8 |
3 |
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G |
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1 |
5 |
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6 |
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9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
5 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is an 8 in DQ
(because of BR and FO). The numbers
missing from column Q are a 4 and 6, but there is a 6 in GN. So the 6 is in FQ, and the 4 is in GQ. There is a 3 in CL (because of HJ, EK, and
BQ). |
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A |
9 |
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7 |
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1 |
2 |
6 |
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B |
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2 |
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1 |
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7 |
3 |
8 |
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C |
1 |
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3 |
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7 |
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4 |
9 |
5 |
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D |
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9 |
4 |
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5 |
8 |
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E |
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3 |
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9 |
7 |
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F |
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8 |
3 |
6 |
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G |
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1 |
5 |
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6 |
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4 |
9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
5 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 1 and a 2 in
EL and FL (because of CJ, GK, IJ, and BK).
So there is an 8 in EJ (because of DQ and FO). |
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A |
9 |
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7 |
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1 |
2 |
6 |
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B |
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2 |
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1 |
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7 |
3 |
8 |
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C |
1 |
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3 |
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7 |
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4 |
9 |
5 |
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D |
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9 |
4 |
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5 |
8 |
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E |
8 |
3 |
12 |
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9 |
7 |
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F |
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12 |
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8 |
3 |
6 |
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G |
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1 |
5 |
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6 |
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4 |
9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
5 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 4 and a 5 in
FJ and FK (because of DM and DP), so there is a 6 and a 7 in DJ and DK. |
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A |
9 |
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7 |
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1 |
2 |
6 |
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B |
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2 |
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1 |
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7 |
3 |
8 |
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C |
1 |
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3 |
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7 |
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4 |
9 |
5 |
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D |
67 |
67 |
9 |
4 |
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5 |
8 |
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E |
8 |
3 |
12 |
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9 |
7 |
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F |
45 |
45 |
12 |
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8 |
3 |
6 |
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G |
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1 |
5 |
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6 |
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4 |
9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
5 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| There is a 4 in ER
(because of DM and FJ-FK). |
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A |
9 |
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7 |
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1 |
2 |
6 |
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B |
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2 |
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1 |
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7 |
3 |
8 |
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C |
1 |
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3 |
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7 |
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4 |
9 |
5 |
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D |
67 |
67 |
9 |
4 |
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5 |
8 |
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E |
8 |
3 |
12 |
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9 |
7 |
4 |
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F |
45 |
45 |
12 |
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8 |
3 |
6 |
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G |
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1 |
5 |
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6 |
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4 |
9 |
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H |
3 |
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5 |
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1 |
7 |
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I |
2 |
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6 |
5 |
3 |
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J |
K |
L |
M |
N |
O |
P |
Q |
R |
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| We can treat FJ and FK as
solved even though we don't know which square the 4 and 5 are actually in, so
the number missing from row F are the 1, 2, 7, and 9. There has to be a 7 in FM (because of
EQ-HR, DJ-DK, and CN), and there is a 9 in FN (because of DL and GR). There is a 1 and a 2 in EL and FL (which
we've already established), but now we know that there is a 1 and a 2 in DR
and FR. |
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A |
9 |
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7 |
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1 |
2 |
6 |
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B |
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2 |
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1 |
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