You are given a n×n rectangular grid of squares. You want to color some cells to black, such
that
- Black cells do not touch each other orthogonally(they do not share
a side).
- We can draw a single continuous non-intersecting loop that passes
through each cell that is not black. The loop must "enter" each cell from the
centre of one of its four sides and "exit" from a different side; all turns are
90
degrees.the following is an example
In this problem, the weight of cells (i,j)(1≤i,j≤n) is wi,j . You want to color some cells black, and maximize the sum of weights of these cells.
2
3
9 8 7
8 8 2
10 4 7
4
7 5 2 4
3 3 5 4
2 2 7 1
8 9 6 8
10
28