PROBLEM STATEMENT

You are given a vector <string> numbers, each element of which represents a positive integer 
written using the letters 'A' through 'J' instead of digits.  You know that each letter represents 
exactly one digit, and each digit is represented by exactly one letter.  You also know that none 
of the integers start with zero. Return the maximum possible sum of the given integers.



DEFINITION
Class:EncodedSum
Method:maximumSum
Parameters:vector <string>
Returns:long long
Method signature:long long maximumSum(vector <string> numbers)


CONSTRAINTS
-numbers will contain between 1 and 50 elements, inclusive.
-Each element of numbers will contain between 1 and 12 characters, inclusive.
-Each element of numbers will contain only uppercase letters between 'A' and 'J', inclusive.
-There will be at least one letter between 'A' and 'J', inclusive, that never occurs as the first 
character of any element of numbers.


EXAMPLES

0)
{"ABC",
 "BCA"}

Returns: 1875


B = 9
A = 8
C = 7


1)
{"ABCDEFGHIJ"}

Returns: 9876543210

2)
{"ABCDEFGHIJ", 
 "J"}

Returns: 9876543202

We can not use J as 0. So, 

J = 1
I = 0


3)
{"A", 
 "BB", 
 "CCC", 
 "DDDD", 
 "EEEEE", 
 "FFFFFF", 
 "GGGGGGG", 
 "HHHHHHHH", 
 "IIIIIIIII", 
 "AJJJJJJJJJ"}

Returns: 9973936905



4)
{"GHJIDDD",
 "AHHCCCA",
 "IIJCEJ",
 "F",
 "HDBIGFJAAJ"}

Returns: 9888114550



 This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2010, TopCoder, Inc. All rights reserved.