Given N distinct digits in an array A (from 1 to 9), Your task is to complete the function getSum which finds sum of all n digit numbers that can be formed using these digits.
Note: Since the output can be large take modulo 1000000007
The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. The first line of each test case contains an integer N . In the next line are N space separated digits.
For each test case in a new line output will be the sum of all n digit numbers that can be formed using these digits.
Example(To be used only for expected output):
1 2 3
For first test case
the numbers formed will be 123 , 132 , 312 , 213, 231 , 321
sum = 123 + 132 + 312 + 213 + 231 + 321 = 1332
For second test case
the numbers formed will be 12, 21
sum = 12 + 21 = 33