Skip to content
GATEiit

GATE DA 2024 Q25: Meaning of alpha and beta in alpha–beta pruning

Question

Consider the following statement:

In adversarial search, α\alpha–β\beta pruning can be applied to game trees of any depth where α\alpha is the (m) value choice we have formed so far at any choice point along the path for the MAX player and β\beta is the (n) value choice we have formed so far at any choice point along the path for the MIN player.

Which ONE of the following choices of (m) and (n) makes the above statement valid?

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 1/3 mark in GATE.
Show answer and explanation

Answer: C (official GATE 2024 final answer key)

Concept used: Alpha–beta pruning: α\alpha is MAX's best guaranteed value, β\beta is MIN's best guaranteed value.

First step: MAX wants the highest value, MIN the lowest; α\alpha and β\beta track the best choice each has found so far.

Full step-by-step solution

Detailed working, common mistakes and linked mock tests will be available with a free GATEiit account. Log-in is coming soon.

Share this question

WhatsAppDownload image

Source: official GATE 2024 DA question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key