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===Simple boxes=== At the beginning of the solution, a simple method can be used to determine as many boxes as possible. This method uses conjunctions of possible places for each block of boxes. For example, in a row of ten cells with only one clue of ''8'', the bound block consisting of 8 boxes could spread from [[File:Paint by numbers - Solving - Example1.png|right]] * the right border, leaving two spaces to the left; * the left border, leaving two spaces to the right; * or somewhere in between. As a result, the block '''must''' spread through the six centermost cells in the row. The same applies when there are more clues in the row. For example, in a row of ten cells with clues of ''4'' and ''3'', the bound blocks of boxes could be [[File:Paint by numbers - Solving - Example2.png|right]] * crowded to the left, one next to the other, leaving two spaces to the right; * crowded to the right, one just next to the other, leaving two spaces to the left; * or somewhere between. Consequently, the first block of four boxes definitely includes the third and fourth cells, while the second block of three boxes definitely includes the eighth cell. Boxes can therefore be placed in the third, fourth and eighth cells. When determining boxes in this way, boxes can be placed in cells only when the ''same block'' overlaps; in this example, there is overlap in the sixth cell, but it is from different blocks, and so it cannot yet be said whether or not the sixth cell will contain a box.
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