SP28744 KATHTHI2 - Coin Fight

Description

Problem Statement : Sathish and Kathiresan are known for Coin Fight. Kathiresan kept on tossing a biased coin repeatedly. Then he decided to solve the following problem. Find the number of tosses for which the probability of getting exactly K heads is maximum. In case of a tie, return the minimum number of tosses. In other words, find the minimum n such that Prob (exactly K heads with n tosses) >= Prob (exactly K heads with m tosses) for any m!=n. **Input :** The first line consists of an integer t, the number of test cases. For each test case you are given an integer K, the number of heads required and a float p, the probability to get a head when the coin is tossed. **Output :** For each test case find the number of tosses required as defined. **Input Constraints :** 1

Input Format

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Output Format

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