Hitori is quite similar to Sudoku, in that it takes logical deduction to work out which cells to paint out. One strategy is to use Shift-clicking to highlight all the repeated numbers in each column, then use Ctrl-clicking to highlight all the repeated numbers in each row.
Once this is done for the entire board, the cells which have been highlighted both ways are good candidates for painting, although not always. When painting a cell, unhighlighting the other cells with the same number in the same row and column as that cell is a good way to keep track of which cells are still violating.
Always bear in mind that rule 2 of Hitori means that two adjacent cells can't both be painted. Hitori will highlight in red the cells which violate rule 2. Similarly, groups of cells which violate rule 3 by separating one or more unpainted cells from the other unpainted cells will be highlighted in red.
If you get stuck at any point, choose Game ▸ Hint for Hitori to flag a cell which should be painted or unpainted to move closer to a solution.
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