Problem Statement | | | Hero likes some arrays. The arrays he likes are the arrays that have all of the following properties:
- The length of the array is n.
- Each element is an integer between 1 and k, inclusive.
- Whenever A and B are two consecutive elements of the array (in this order), we have (A <= B) or (A mod B != 0).
For example, suppose n=4 and k=7.
Hero will like the array {1,7,7,2} because it has the right length, all elements are in the correct range, 1 <= 7, 7 <= 7, and 7 mod 2 != 0.
Hero will not like the array {4,4,4,2}.
You are given the ints n and k.
Let X be the number of different arrays Hero likes.
Compute and return the value (X mod 1,000,000,007). | | | Definition | | | | Class: | DivFree | | Method: | dfcount | | Parameters: | int, int | | Returns: | int | | Method signature: | int dfcount(int n, int k) | | (be sure your method is public) |
| | | | | | Constraints | | - | n will be between 1 and 50,000, inclusive. | | - | k will be between 1 and 50,000, inclusive. | | | Examples | | 0) | | | | | Returns: 3 | | The three arrays Hero likes are {1,1}, {1,2}, and {2,2}. |
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| | 1) | | | | | Returns: 4 | | The four arrays Hero likes in this case are {1,1,1}, {1,1,2}, {1,2,2}, and {2,2,2}. |
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| | 2) | | | | | | 3) | | | | | | 4) | | | | | | 5) | | | | |
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