Given a Binary string .
Print an Integer which is Sum of decimal equivalent of every substring.
Since sum will be large print sum modulo .
Input
A single line consisting of string .
Output
Print an integer answer to the question.
Constraints:
where denotes the length of string .
Author: Bibhudhendra Pati
For String S = "1101" all substrings and correspoding decimal values are
[0,0] = "1" = 1
[0,1] = "11" = 3
[0,2] = "110" = 6
[0,3] = "1101" = 13
[1,1] = "1" = 1
[1,2] = "10" = 2
[1,3] = "101" = 5
[2,2] = "0" = 0
[2,3] = "01" = 1
[3,3] = "1" = 1
where [i,j] refers to string from index to index
Sum of all decimal value will be
1 + 3 + 6 + 13 + 1 + 2 + 5 + 0 + 1 + 1 = 33