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Dog and the Bone

A dog wants to reach its bone. But the dog has to traverse through a maze. A maze is represented by an N X N grid such that the areas with obstacles are marked 1. The dog can only move in four directions - North (one step), South (one step), East (one step) and West (one step) and land in areas without an obstacle. Find all unique paths from source to destination that enables the dog (at source) to reach the destination (the bone). Retracing steps is not considered a new path.  

Use the idea of backtracking to give all unique paths. Give the runtime estimate of your algorithm.

Reference no: EM133269755

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