This problem is part of a set of problems that successively develop a more sophisticated Scrabble scoring routine. The point distribution for scoring is provided here. (Use the English points distribution.)

For this problem, you will be provided with a character matrix representing a completed game of Scrabble. Write a function to calculate and return the total score for the entire board. Don't worry about double counting of letters or words due to tile placement—that will come in a subsequent problem. As an example, suppose you are given the following board (this is test case 1):

   cat  
 i  p   
 t  poet
 c  l   
there   

the word cat scores 3+1+1 = 5, poet scores 3+1+1+1 = 6, there scores 1+4+1+1+1 = 8. The remaining letters (itc, p, and l) score 1+1+3, 3, and 1 which total 9 all together (since we're not double counting letters yet). The sum total is 5+6+8+9 = 28.

Related problems:

Previous problem: 5 - Multiplayer word-set scoring. Next problem: 7 - Multiplayer board scoring.