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 set of words and the accompanying bonus squares that each word covered. The words will be provided in a cell array of strings. Write a function to calculate the total score for the set of words using the multipliers. The multipliers are as follows:

 * D: double word
 * T: triple word
 * Q: quadruple word
 * d: double letter
 * t: triple letter
 * q: quadruple letter

For those not familiar with quadruple word (Q) and quadruple letter (q), those were introduced in Super Scrabble. Also, remember that the d, t, and q multipliers take effect before the D, T, and Q multipliers. Also, multiple word multipliers can be present, having a cumulative effect (e.g., D & T = *6).

As an example, if the word were 'matlab' and the multiplier string array was

[' ','D',' ',' ',' ','d'] (or ' D   d')

then the score would be (3 + 1 + 1 + 1 + 1 + 2*3)*2 = 26. Each word in the set should be scored in this manner and the total score summed.

Related problems:

Previous problem: 3 - Single-word multiplier scoring. Next problem: 5 - Multiplayer word-set scoring.