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sudoku puzzle pdf This puzzle variation builds upon the original Sudoku rules but introduces a new concept: "cages." Cages are groups of cells that must sum up to a specific value, often indicated by a small number or symbol within the group. Look for "naked pairs," where two numbers can only be placed in two cells, and eliminate these numbers from other cells in the same row, column, or subgrid. how to solve hard sudoku puzzles tipshow to solve hard sudoku puzzles tips Naked Quadruple and naked Pairs/Triples: These techniques are used when you have four or more numbers that can only be placed in one row, column, or box.