Alex, a sophomore got inspired to do mathematics after watching a movie "The Man who knew Infinity". One day, he was studying mathematics in the library and in one of the books he discovered a way to perform multiplication of numbers in a new fashion by using digits of a number. He found that method interesting and decided to formulate an algorithm for the same method. Alex finds it difficult to implement and he asks for your help.

Given a number N. Let the first digit of the number be X. P₁ is the number formed using first X digits of the given number in the sequence. Let the digit after X^th digit is Y. P₂ is another number formed using Y digits starting from (X + 1)^th position in sequence and so on. If the number of digits to be used to form a number are more than the remaining digits, then simply form the number using digits till the last digit. Product of (P₁ * P₂ * P₃ ... * P_i) is known as magic product. Help Alex to find the magic product.

Input Format:
The first line of the input contains an integer T denoting the number of test cases. Each test case contains a number N followed by values of A and B respectively.

Output Format:
For each test case, output the magic product modulo 10^A + B.

Constraints:

T ∈ [1, 10⁵]
N ∈ [1, 10¹⁰⁰]
A ∈ [1, 9]
B ∈ [0, 100]

NOTE: Any digit in the given number N will not be equal to 0.