If the Snake and Ladder game is extended to support undo functionality for moves, what is the additional space complexity introduced per move?

medium🪤 Complexity Trap Q6 of Q15

OOP & Design Patterns - Design Snake and Ladder Game - LLD End-to-End

AO(1) by storing only previous position per move

BO(n) where n is the number of players, storing all states

CO(m) where m is the number of moves made, storing history stack

DO(n*m) combining players and moves history

Step-by-Step Solution

Solution:

Step 1: Understand undo requirement
Undo requires storing history of moves.
Step 2: Analyze storage per move
Each move's state saved in a stack -> O(m) space for m moves.
Step 3: Consider players
History is per game, not multiplied by players unless separate stacks.
Final Answer:
Option C -> Option C
Quick Check:
Undo history grows linearly with moves [OK]

Quick Trick: Undo needs history stack -> O(m) space [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Candidates underestimate space by ignoring history growth or overestimate by multiplying players and moves incorrectly.

Interviewer Note:

CONTEXT

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