Amazing Subarrays

You are given a string S, and you have to find all the amazing substrings of S.

Amazing Substring is one that starts with a vowel (a, e, i, o, u, A, E, I, O, U).

Input

Only argument given is string S.

Output

Return a single integer X mod 10003, here X is number of Amazing Substrings in given string.

Constraints

1 <= length(S) <= 1e6
S can have special characters

Example

Input
    ABEC

Output
    6

Explanation
	Amazing substrings of given string are :
	1. A
	2. AB
	3. ABE
	4. ABEC
	5. E
	6. EC
	here number of substrings are 6 and 6 % 10003 = 6.

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.