Numerical surprises

We suspect that for every positive integer N there exists an integer of the form 11 . . . 10 . . . 0 (a sequence of 1’s followed by 0 or more 0’s) that is divisible by N. For example, with N = 3, 111 is divisible by 3, with N = 4, 100 is divisible by 4, with N = 7, 11111 is divisible by 7. We want to verify this for some integers. The solution to this problem is to find two different numbers P and Q in the form of 11 . . . 1 (a sequence of 1’s) that have the same remainder when dividing by N. The difference D between P and Q will be in the form of 11...10...0 and divisible by N. In order to solve this problem, we have to start with finding the remainder when dividing a number in the form of 11...1 by N. Your task is to write a program to do this. Input The input file consists of several data sets. The first line of the input file contains the number of data sets which is a positive integer and is not bigger than 20. The following lines describe the data sets. Each data set is described by two lines. The first line contains the integer N (1 < N < 109). The second line contains the integer number P (P contains at least one digit and at most 2000 digits). Output For each test case, write in one line the remainder when dividing P by N. Sample Input 2 4 11 5 111 Sample Output 3 1