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In this problem, we would like to break a sequence of words into a series of lin

ID: 3635282 • Letter: I

Question

In this problem, we would like to break a sequence of words into a series of lines to form
paragraph. Our objective is to avoid extra spaces on any line. The order of words must be maintained as
they are placed on lines. Assume a sequence of n words of length w1, w2, w3, …, wn and a line width of W.
The constraint in this problem is that, if a line contains word I through word j, then wi+…+wj+(j-i)<= W.
Note that the term j-I corresponds to the number of spaces required to separate the words. We define
an objective as follows:
The cost associated for each line is the number of extra spaces on the line:
F = W- wi+…+wj+(j-i)
Give a greedy algorithm for this problem and analyze its time complexity.

Explanation / Answer

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