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An arithmetic series consists of a sequence of terms such that each term minus its immediate predecessor gives the same result. For example, the sequence 3,7,11,15 is the terms of the arithmetic series 3+7+11+15; each term minus its predecessor equals 4. (Of course there is no requirement on the first term since it has no predecessor.)Given a collection of integers, we want to find the longest arithmetic series that can be formed by choosing a sub-collection (possibly the entire collection). Create a class ASeries that contains a method longest that is given a series values and returns the length of the longest arithmetic series that can be formed from values.

Constraints

- Values will contain between 2 and 50 elements inclusive.

- Each element of values will be between -1,000,000 and 1,000,000 inclusive.

- Solution should NOT use a 2-dimensional array/matrix as the main data structure

- Need a method named longest which computes the longest Arithmetic Series given an array of integers (public int longest(int[] values))

- Class needs to be named ASeries

- Make sure to submit as a *.java file (Feel free to include anything else you might think necessary)

Examples

0)

{3,8,4,5,6,2,2}

Returns: 5

No arithmetic series using these values is longer than 2,3,4,5,6.

1)

{-1,-5,1,3}

Returns: 3

-1, 1, 3 is an arithmetic series (so is 3,-1,-5).

2)

{-10,-20,-10,-10}

Returns: 3

-10,-10,-10 is an arithmetic series.

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2016-2-8 -05:00

2016-2-8 -05:00

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