Alice and her garden

Alice loves nature a lot. She owns her own large beautiful garden. Her garden is very neatly organized in a square shape of n × n cells. The cell at i-th row and j-th column is denoted by cell (i, j). At each cell, she has a small portion for growing a plant of flowers. Also, she knows very well the number of flowers that will grow on a plant at a particular cell. In particular, this information i