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Problem 1082. -- Edit Step Ladders ## Edit Step Ladders

Time Limit: 1 Sec Memory Limit: 64 MB

Submit: 4 Solved: 0

[Submit][Status][Forum]## Description

An edit step is a transformation from one word x to another word y such that x and y are words in the dictionary, and x can be transformed to y by adding, deleting, or changing one letter. The transformations from dig to dog and from dog to do are both edit steps. An edit step ladder is a lexicographically ordered sequence of words w1, w2,..., wn such that the transformation from wi to wi+1 is an edit step for all i from 1 to n - 1.
For a given dictionary, you are to compute the length of the longest edit step ladder.

## Input

The input to your program consists of the dictionary: a set of lowercase words in lexicographic order at one word per line. No word exceeds 16 letters and there are at most 25,000 words in the dictionary.

## Output

The output consists of a single integer, the number of words in the longest edit step ladder.

## Sample Input

cat
dig
dog
fig
fin
fine
fog
log
wine

## Sample Output

5

## HINT

## Source

Waterloo local 2000.09.23

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