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Description

On the first row, we write a 0. Now in every subsequent row, we look at the previous row and replace each occurrence of 0 with 01, and each occurrence of 1 with 10.

Given row N and index K, return the K-th indexed symbol in row N. (The values of K are 1-indexed.) (1 indexed).

Examples:

Input: N = 1, K = 1

Output: 0



Input: N = 2, K = 1

Output: 0



Input: N = 2, K = 2

Output: 1



Input: N = 4, K = 5

Output: 1



Explanation:

row 1: 0

row 2: 01

row 3: 0110

row 4: 01101001

Note:

    <li><code>N</code> will be an integer in the range <code>[1, 30]</code>.</li>
    
    <li><code>K</code> will be an integer in the range <code>[1, 2^(N-1)]</code>.</li>
    

Solutions

Python3

Java

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