Problem Statement |
| We are given a collection of integers and a positive number, maxJump. We are interested
in different ways of arranging
all the integers from the collection into a "satisfactory sequence". A sequence is satisfactory
if it
has the property that
the absolute value of the difference between adjacent values is always less than
or equal to maxJump.
Create a class Coherency that contains a method starters that is given a int[]
collection and positive number maxJump. It returns the number of distinct values from
collection that could be the starting value in a satisfactory sequence.
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Definition |
| Class: | Coherency | Method: | starters | Parameters: | int[], int | Returns: | int | Method signature: | int starters(int[] collection, int maxJump) | (be sure your method is public) |
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Constraints |
- | collection will contain between 1 and 50 elements, inclusive. |
- | Each element in collection will be between -1,000,000,000 and 1,000,000,000, inclusive. |
- | maxJump will be between 0 and 1,000,000,000, inclusive. |
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Examples |
0) | |
| | Returns: 0 |
However the values are arranged there must be a jump of 7.
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1) | |
| | Returns: 2 |
Any arrangement of these values has a maximum jump of 7. So we could
start a satisfactory sequence with either a 1 or with the 8.
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2) | |
| | Returns: 2 |
(1,1,5,6,7,11) is a satisfactory sequence starting with 1.
(11,7,6,5,1,1} is a satisfactory sequence starting with 11.
There is no satisfactory sequence that starts with any of the other values, so there
are 2 distinct possible starting values.
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