Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Program to check whether one point can be converted to another or not in Python
Suppose we have a starting points (sx, sy), and target point (tx, ty), we have to check whether a sequence of moves exists from the start point to the end point. Here move consists of taking a point (x, y) and transforming it to either (x, x+y) or (x+y, y).
So, if the input is like (sx, sy) = (1,1) (tx, ty) = (4,5), then the output will be True, this is because move (1,1) to (2,1), then (3,1), then (4,1), then (4,5).
To solve this, we will follow these steps −
Define a function solve() . This will take sx, sy, tx, ty
if sx > tx or sy > ty, then
return False
if sx is same as tx, then
return(ty-sy) mod sx is same as 0
if sy is same as ty, then
return(tx - sx) mod sy is same as 0
return solve(sx, sy, tx-ty, ty) or solve(sx, sy, tx, ty-tx)
Example
Let us see the following implementation to get better understanding
def solve(sx, sy, tx, ty): if sx > tx or sy > ty: return False if sx == tx: return (ty-sy)%sx == 0 if sy == ty: return (tx - sx)%sy == 0 return solve(sx, sy, tx-ty, ty) or solve(sx, sy, tx, ty-tx) (sx, sy) = (1,1) (tx, ty) = (4,5) print(solve(sx, sy, tx, ty))
Input
(1,1), (4,5)
Output
True
74 Views
