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exercism fetch fsharp alphametics

Alphametics

Write a function to solve alphametics puzzles.

Alphametics is a puzzle where letters in words are replaced with numbers.

For example SEND + MORE = MONEY:

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  S E N D
  M O R E +
-----------
M O N E Y

Replacing these with valid numbers gives:

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  9 5 6 7
  1 0 8 5 +
-----------
1 0 6 5 2

This is correct because every letter is replaced by a different number and the words, translated into numbers, then make a valid sum.

Each letter must represent a different digit, and the leading digit of a multi-digit number must not be zero.

Write a function to solve alphametics puzzles.

Hints

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.