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Language:
Binary Operation
 Time Limit: 3000MS Memory Limit: 65536K Total Submissions: 239 Accepted: 67

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.

Sample Input

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

Sample Output

15

Source

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