Use the letter matrix generated in the previous programming exercise as a starting point for this program. Generate a single random four-by-four letter matrix in which each letter has a 50% probability of being a vowel. Traverse each matrix row, column, and diagonal, generating sets of letters.

Display only four-letter sets containing exactly two vowels. Suppose, for example, the following matrix was generated:

P O A Z A E A U G K A E I A G D Then the four-letter sets displayed by the program would be POAZ, GKAE, IAGD, PAGI, ZUED, PEAD, and ZAKI. The order of letters within each set is unimportant.