Problem F
Friday the 13th
Your task is to figure out how many times there will be Friday the 13th based on the calendar specifications.
Input
The first line of the input consists of a single integer,
$T$, the number of test
cases.
The first line of each of the $T$ test cases is a line with two
space separated integers, $D$ and $M$, the total number of days in the
year and the number of months in the year respectively. The
second line of each test case consists of $M$ space separated integers,
$d_ i$, the number of days
in each month.

$1 \leq T \leq 20$

$1 \leq M \leq D \leq 1000$

$1 \leq d_ i \leq 100$

$\sum (d_ i) = D$
Output
For each test case, output the number of Friday the 13ths in the specified year.
Sample Input 1  Sample Output 1 

3 20 1 20 40 2 21 19 365 12 31 28 31 30 31 30 31 31 30 31 30 31 
1 2 2 