Raj Shaker 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. Raj Shaker 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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Raj Shaker 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.
Raj Shaker 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.
Note: Answer the question using python language only.
Input
1
45
Output
236
Transcribed Image Text:Raj Shaker 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. Raj Shaker 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. Note: Answer the question using python language only. Input 1 45 Output 236
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