|A common task for math students is to solve 'word math' questions, where each distinct letter represents a distinct digit.|
Given a list of word math numbers to add, your task is to calculate the greatest possible sum of those numbers.
For example, given the expression:
TOP + CODERthe maximum sum possible by substituting numbers is:
783 + 98654 ------- 99437with C = 9, D = 6, E = 5, O = 8, P = 3, R = 4 and T = 7.
Please note that, for this question, word math numbers are allowed to start with a zero.
|-||Different letters must represent different digits, identical letters must represent identical digits.|
|-||Not all digits in the result must appear in the summands.|
|-||summands will contain between 1 and 10 elements, inclusive.|
|-||Each element of summands will contain between 1 and 8 characters, inclusive.|
|-||Each element of summands will contain only uppercase letters ('A'-'Z').|
|-||summands will contain at most 10 distinct letters.|