Kakuro Help

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<td><b>How to play Kakuro:</b></td>
<td width=55><a href="kakuro-full-help.html?lang=de"><img src="flag_icon_de_black.png" border=0 alt="German Help"></a></td>
<td width=55><a href="kakuro-full-help.html?lang=en"><img src="flag_icon_usa_black.png" border=0 alt="English Help"></a></td>
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<li>Place 1 to 9 in each white cell. To choose the right number you need to work from the clues in around the edge. The numbers below the diagonal lines are the sums of the solutions in the white cells immediately beneath. The numbers above the divide are the sums of the solutions immediately to the right. Rows and columns do NOT have to be unique.
<li>Thus, if a 3 is shown as a clue there will be two cells waiting for you to put the digits 1 and 2 in them – the only possible sum that will equal 3
<li>The final rule is that no number may be repeated in any block. For example, if the clue is 4, the only possible solution will be 1 and 3 (or 3 and 1), never 2 and 2.
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<b>Tips on Playing Kakuro</b>
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Let’s look at a small but real Kakuro. Where do you start? Well, before we commence entering lots of candidate numbers there is an important rule to learn. We have already learned that there are some fixed combinations of numbers, such as 3 in two = 1 and 2, 4 in two = 1 and 3. If two of these blocks intersect and share a unique number then the point where they intersect must be that common number. If we examine the puzzle, there are quite a few of these fixed combinations:
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<li>3 in two = 1, 2
<li>4 in two = 1, 3
<li>7 in three = 1, 2, 4
<li>16 in five = 1, 2, 3, 4, 6
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Are there any combinations that intersect and share a unique digit? Yes, look at the bottom row of Figure 1. Here the 4 intersects with the 3 in the central black square. They both share the number 1 uniquely, so that must be the number that goes in the cell that they both share. Before we move on to find some more of these, it is important to remember that they must share the number uniquely. For example, the 16 intersects with the top 4, but they both contain 1 and 3, so the cell at the intersection could be either 1 or 3 (but that fact may in itself be a help later on).
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Back at our puzzle there are two more places where 3 and 4 intersect (Figure 2), so both of the intersecting cells resolve to 1. Having solved those three squares directly, there are now some holes that can be filled as a result (Figure 3).
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	<img src="figure1.gif" alt="Figure 1">
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	<img src="figure3.gif" alt="Figure 1">
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	<img src="figure2.gif" alt="Figure 1">
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<b>Table of known combinations</b>
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To help you find the combinations of numbers that add up to a clue, this table is a good start.
But there may be combinations which have many more possible solutions - especially on the harder puzzles.
However, this table lists the useful easy ones where there is only one combinations for the given clue..
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<tr><td width=40>Clue</td><td width=40>Cage Size</td><td width=300>Combinations</td></tr>
<tr><td>3</td><td>2</td><td>1,2</td></tr>
<tr><td>4</td><td>2</td><td>1,3</td></tr>
<tr><td>16</td><td>2</td><td>7,9</td></tr>

<tr><td>42</td><td>7</td><td>3,4,5,6,7,8,9</td></tr>
<tr><td>Any</td><td>8</td><td>1-9 except (45 - clue value)</td></tr>
<tr><td>Any</td><td>9</td><td>1-9 inclusive</td></tr>
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<b>Tips on Playing Kakuro</b>
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<b>Table of known combinations</b>
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<tr><td>42</td><td>7</td><td>3,4,5,6,7,8,9</td></tr>
<tr><td>Any</td><td>8</td><td>1-9 except (45 - clue value)</td></tr>
<tr><td>Any</td><td>9</td><td>1-9 inclusive</td></tr>
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