CDFX02 - EDITORIAL

PROBLEM LINK:

Contest Link

Practice Link

DIFFICULTY:

Easy

PREREQUISITES:

Probability, Maths

PROBLEM:

Ayush and Abhimanyu are trying to hit a target in turns. Probability of hitting target by Ayush is p/q and by Abhimanyu person is r/s. Ayush starts the game first. Find probability that ayush wins the game.

EXPLANATION:

We need to consider the case when ayush hits the target and when both do not hit the target.

let x=p/q and y=( 1-r/s )( 1-p/q ). Probability is xy^0 + xy^1 + xy^2 + …. We can reduce it to x/(1-y)

TIME COMPLEXITY:

O(1) per testcase

SOLUTION:

To be Updated Soon

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