Devo is learning Combinatorics in his college. He finds it very interesting to calculate number of ways of going to point (c, d) from point (a, b) in co-ordinate plane. We can take horizontal and vertical steps only and cannot visit at a point twice. In a step, you can move one unit only. We have to reach to the point (c, d) from the point (a, b) using abs(a-c) + abs(b-d) steps only. Devo has two sets of points. Set A contains points having X co-ordinate 0 and Y co- ordinates varying from 1 to N (both inclusive). Set B contains points having X co- ordinate K and Y co-ordinates varying from 1 to N (both inclusive). Both sets contain N number of integral points. He wants to calculate the sum of number of ways to going to each point of set B from each point of set A. As the answer can be large, print it modulo 1000000007.

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