Consider an orange and black coloring of a 20 \times 14 square grid. Let n be the number of coloring such that every row and column has an even number of orange square. Evaluate \log _{2} n.
Consider an orange and black coloring of a 20 \times 14 square grid. Let n be the number of coloring such that every row and column has an even number of orange square. Evaluate \log _{2} n.