[Python] How to implement stack-based backtracking for maze navigation with limited size...

I am a university student working on a Data Structures lab about using a stack to simulate maze navigation. The stack must have a fixed capacity of 25 moves.

I don't have any code yet. I need help understanding the logic and a working Python example if possible.

Problem Description


In the maze:

ActionStack OperationMove forwardpushReach dead-endpop (backtrack)Check current movepeekFull stackOverflow errorEmpty stack popUnderflow error

The top of the stack represents the current position in the maze.

Required Movement Simulation


Move → push
Move → push
Dead end → pop
Move → push
Move → push
Try one more push beyond capacity (overflow test)
Pop all moves to return to entrance

Example of expected output


I need to print the stack contents after each operation like this:

StepOperationDirectionStack ContentStatus1PushLeft

Not full2PushRight[Left, Right]Not full3Pop–

Not empty4PushForward[Left, Forward]Not full5PushLeft[Left, Forward, Left]Not full6PushRight—Overflow

What help I need

1. 
   How to properly implement stack operations (push, pop, peek) using an array or list in Python (not using built-in stack libraries).
   
   
2. 
   How to check for:
   
   • 
     Stack overflow (when full)
     
     
   • 
     Stack underflow (when empty)
     
3. 
   How to simulate maze movement using stack logic.
   
   
4. 
   How to print stack state after each operation.
   

A complete Python code example would be very helpful.

Extra context (for conceptual understanding only)

• 
  Why is stack ideal for backtracking?
  
  
• 
  How does LIFO appear in real-life maze traversal?
  
  
• 
  What would change if the stack had unlimited size?
  

Preferred language


Python (without external libraries)

Final note


I am trying to understand how stack logic is applied to real-world scenarios like maze navigation.
A clear explanation with Python implementation would be greatly appreciated.
Thank you!

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