In his spare time Vladik estimates beauty of the flags.
Every flag could be represented as the matrix
n×m which consists of positive integers.
Let's define the beauty of the flag as number of components in its matrix. We call component a set of cells with same numbers and between any pair of cells from that set there exists a path through adjacent cells from same component. Here is the example of the partitioning some flag matrix into components:
But this time he decided to change something in the process. Now he wants to estimate not the entire flag, but some segment. Segment of flag can be described as a submatrix of the flag matrix with opposite corners at
(1,l) and
(n,r), where conditions
1≤l≤r≤m are satisfied.
Help Vladik to calculate the beauty for some segments of the given flag.