Design an algorithm in pseudocode/code to print the total number of unique steps using a backtracking algorithm.

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
Section: Chapter Questions
Problem 1PE
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Question

In a square maze, we can have multiple steps from ‘s’ to reach ‘e’ with one place that can only be visited once.

Example:
Input 
3
s..
..#
.e#

Output
4
These are the unique steps:
*..
*..
**.


*..
**.
.*.


**.
.*.
.*.


**.
**.
**.

Input 
4
.s..
.#.#
#e.#
....

Output
2
These are the unique steps:
.**.
..*.
.**.
.**.


.**.
..*.
.**.
....


The problem:
➢ Input: an integer followed by the maze.
➢ Output: total number of unique steps. (no need to print the unique steps)
➢ Task: Design an algorithm in pseudocode/code to print the total number of unique steps using
a backtracking algorithm.

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