Problem
Geologists sometimes divide an area of land into different regions based on where rainfall flows down to. These regions are called drainage basins.
Given an elevation map (a 2dimensional array of altitudes), label the map such that locations in the same drainage basin have the same label, subject to the following rules.
Input
The first line of the input file will contain the number of maps, T. T maps will follow, each starting with two integers on a line  H and W  the height and width of the map, in cells. The next H lines will each contain a row of the map, from north to south, each containing W integers, from west to east, specifying the altitudes of the cells.
Output
For each test case, output 1+H lines. The first line must be of the form
Case #X:where X is the test case number, starting from 1. The next H lines must list the basin labels for each of the cells, in the same order as they appear in the input.
Limits
T ≤ 100;
Small dataset
1 ≤ H, W ≤ 10;
0 ≤ altitudes < 10.
There will be at most two basins.
Large dataset
1 ≤ H, W ≤ 100;
0 ≤ altitudes < 10,000.
There will be at most 26 basins.
Sample
Input 
Output 
5

Case #1:

Notes
In Case #1, the upperright and lowerleft corners are sinks. Water from the diagonal flows towards the lowerleft because of the lower altitude (5 versus 6).
Points  Correct  Attempted 

10pt  5201  5887 
23pt  4674  5422 