As a cute girl, Kotori likes playing ``Hide and Seek'' with cats particularly. Under the influence of Kotori, many girls and cats are playing ``Hide and Seek'' together. Koroti shots a photo. The size of this photo is $n\times m$, each pixel of the photo is a character of the lowercase(from `a' to `z'). Kotori wants to know how many girls and how many cats are there in the photo.
We define a girl as -- we choose a point as the start, passing by 4 different connected points continuously, and the four characters are exactly ``girl'' in the order. We define two girls are different if there is at least a point of the two girls are different. We define a cat as -- we choose a point as the start, passing by 3 different connected points continuously, and the three characters are exactly ``cat'' in the order. We define two cats are different if there is at least a point of the two cats are different.
Two points are regarded to be connected if and only if they share a common edge.
The first line is an integer $T$ which represents the case number.
As for each case, the first line are two integers $n$ and $m$, which are the height and the width of the photo. Then there are $n$ lines followed, and there are $m$ characters of each line, which are the the details of the photo.
It is guaranteed that: $T$ is about 50. $1\leq n\leq 1000$. $1\leq m\leq 1000$. $\sum (n\times m)\leq 2\times 10^6$.
As for each case, you need to output a single line. There should be 2 integers in the line with a blank between them representing the number of girls and cats respectively.