118. Digital Root time limit per test: 0.25 sec.
Let f(n) be a sum of digits for positive integer n. If f(n) is onedigit number then it is a digital root for n and otherwise digital root of n is equal to digital root of f(n). For example, digital root of 987 is 6. Your task is to find digital root for expression A_{1}*A_{2}*…*A_{N} + A_{1}*A_{2}*…*A_{N1} + … + A_{1}*A_{2 }+ A_{1}_{. }
Input Input file consists of few test cases. There is K (1<=K<=5) in the first line of input. Each test case is a line. Positive integer number N is written on the first place of test case (N<=1000). After it there are N positive integer numbers (sequence A). Each of this numbers is nonnegative and not more than 10^{9}^{. }
Output Write one line for every test case. On each line write digital root for given expression.
Sample Input 1 3 2 3 4
Sample Output 5  

Name 
