Description

Consider a binary operation defined on digits 0 to 9. : {0, 1, ..., 9} × {0, 1, ..., 9} {0, 1, ..., 9}, such that 0 0 = 0.

A binary operation is a generalization of to the set of non-negative integers, : ₀₊ × _{0+ 0+}. The result of a b is defined in the following way: if one of the numbers a and b has fewer digits than the other in decimal notation, then append leading zeroes to it, so that the numbers are of the same length;

then apply the operation digit-wise to the corresponding digits of a and b.

Let us define to be left-associative, that is, a b c is to be interpreted as (a b) c.

Given a binary operation and two non-negative integers a and b, calculate the value of a (a + 1) (a + 2) ... (b - 1) b.

Input

The first ten lines of the input file contain the description of the binary operation . The i-th line of the input file contains a space-separated list of ten digits - the j-th digit in this list is equal to (i - 1) (j - 1).

The first digit in the first line is always 0.

The eleventh line of the input file contains two non-negative integers a and b (0 <= a <= b <= 10¹⁸).

Output

Output a single number – the value of a (a + 1) (a + 2) ... (b - 1) b without extra leading zeroes.

0 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 0
2 3 4 5 6 7 8 9 0 1
3 4 5 6 7 8 9 0 1 2
4 5 6 7 8 9 0 1 2 3
5 6 7 8 9 0 1 2 3 4
6 7 8 9 0 1 2 3 4 5
7 8 9 0 1 2 3 4 5 6
8 9 0 1 2 3 4 5 6 7
9 0 1 2 3 4 5 6 7 8
0 10

15

Source

Northeastern Europe 2010