You will write a program that will solve a version of the common newspaper puzzle \word search." In the puzzle you are given a grid lled with characters and a list of words to nd and circle in the grid. Words may go left-to-right, top-to-bottom or diagonally (upper-left to lower-right).

Your program will solve this problem with a twist: the words can \wrap around." Consider the example below.

e b h a t
d e t n t
a t n o h
t u e t t

The example has several \wraparound" words. the word \hat" starts at position (0,2) (in row, column format) and is horizontal. The word \tube" starts at position (2,1) and is vertical. The word \tote" starts at position (1,2) and is diagonal.

When determining the next diagonal position, you can think of it as a two step process: compute the next column (as you would for a horizontal sequence); compute the next row (as you would for a vertical sequence). Note that the next diagonal position after the lower right position is always (0,0).

Wraparound words can even overlap themselves! For example, the word \dated" appears vertically beginning at position (1,0). They can even wraparound multiple times! Your program will read a le containing the grid and the list of words to search for and you will output for each word all occurrences of it in the grid. Your output should, for each word, list all occurrences in the format we've used above (i.e., beginning coordinate and \type" { horizontal, vertical or diagonal).