To solve the puzzle below, you need to fill all 81 cells with a number from 1 to 9 inclusive. You cannot repeat any number in any row, column or nonet.
In addition, there are overlapping cages, outlined in purple, which may not contain repetitions either.
In the top left hand corner of each cage is a number, which is the sum of all the cells in that cage. For instance, in a three cell cage, if this number were 23, then the cells in that block must contain the numbers 6, 8 & 9, since no other combination of unique single digits add up to 23. It does not however, tell you which numbers belong in which cell - it's a sort of quantum su-doku, if you like.
To help you, below is a table of the possible combinations for each purple three-cell cage:
You will find the cache at:
51N AB.0C0
00W 11.XYZ
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Number in Top Left:
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Possible Number Permutations in a Three Cell Cage:
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6
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1, 2 & 3 |
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7
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1, 2 & 4 |
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8
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1, 2 & 5 |
1, 3 & 4 |
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9
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1, 2 & 6 |
1, 3 & 5 |
2, 3 & 4 |
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10
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1, 2 & 7 |
1, 3 & 6 |
1, 4 & 5 |
2, 3 & 5 |
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11
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1, 2 & 8 |
1, 3 & 7 |
1, 4 & 6 |
2, 3 & 6 |
2, 4 & 5 |
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12
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1, 2 & 9 |
1, 3 & 8 |
1, 4 & 7 |
1, 5 & 6 |
2, 3 & 7 |
2, 4 & 6 |
3, 4 & 5 |
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13
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1, 3 & 9 |
1, 4 & 8 |
1, 5 & 7 |
2, 3 & 8 |
2, 4 & 7 |
2, 5 & 6 |
3, 4 & 6 |
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14
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1, 4 & 9 |
1, 5 & 8 |
1, 6 & 7 |
2, 3 & 9 |
2, 4 & 8 |
2, 5 & 7 |
3, 4 & 7 |
3, 5 & 6 |
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15
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1, 5 & 9 |
1, 6 & 8 |
2, 4 & 9 |
2, 5 & 8 |
2, 6 & 7 |
3, 4 & 8 |
3, 5 & 7 |
4, 5 & 6 |
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16
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1, 6 & 9 |
1, 7 & 8 |
2, 5 & 9 |
2, 6 & 8 |
3, 4 & 9 |
3, 5 & 8 |
3, 6 & 7 |
4, 5 & 7 |
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17
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1, 7 & 9 |
2, 6 & 9 |
2, 7 & 8 |
3, 5 & 9 |
3, 6 & 8 |
4, 5 & 8 |
4, 6 & 7 |
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18
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1, 8 & 9 |
2, 7 & 9 |
3, 6 & 9 |
3, 7 & 8 |
4, 5 & 9 |
4, 6 & 8 |
5, 6 & 7 |
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19
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2, 8 & 9 |
3, 7 & 9 |
4, 6 & 9 |
4, 7 & 8 |
5, 6 & 8 |
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20
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3, 8 & 9 |
4, 7 & 9 |
5, 6 & 9 |
5, 7 & 8 |
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21
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4, 8 & 9 |
5, 7 & 9 |
6, 7 & 8 |
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22
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5, 8 & 9 |
6, 7 & 9 |
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23
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6, 8 & 9 |
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24
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7, 8 & 9 |
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You can check your answers for this puzzle on Geochecker.com.