Question

Describe recursive algorithms for the following variants of the text segmentation problem. Assume that you have...

Describe recursive algorithms for the following variants of the text segmentation problem. Assume that you have a subroutine IsWord that takes an array of characters as input and returns True if and only if that string is a “word”. (a) Given an array A[1 .. n] of characters, compute the number of partitions of A into words. For example, given the string ARTISTOIL, your algorithm should return 2, for the partitions ARTIST·OIL and ART·IS·TOIL.

Do this by appropriately modifying the following pseudo-code :

Splittable(i):

.........if i > n

...............return True

.......for j ← i to n

.............if IsWord(i, j)

....................if Splittable(j + 1)

.........................return True

......return False

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