K-th Symbol in Grammar LeetCode Solution – Queslers

Problem – K-th Symbol in Grammar LeetCode Solution

We build a table of n rows (1-indexed). We start by writing 0 in the 1st row. 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.

  • For example, for n = 3, the 1st row is 0, the 2nd row is 01, and the 3rd row is 0110.

Given two integer n and k, return the kth (1-indexed) symbol in the nth row of a table of n rows.

Example 1:

Input: n = 1, k = 1
Output: 0
Explanation: row 1: 0

Example 2:

Input: n = 2, k = 1
Output: 0
Explanation: 
row 1: 0
row 2: 01

Example 3:

Input: n = 2, k = 2
Output: 1
Explanation: 
row 1: 0
row 2: 01

Constraints:

  • 1 <= n <= 30
  • 1 <= k <= 2n - 1

K-th Symbol in Grammar LeetCode Solution in Java

    public int kthGrammar(int N, int K) {
        return Integer.bitCount(K - 1) & 1;
    }

K-th Symbol in Grammar LeetCode Solution in C++

    int kthGrammar(int N, int K) {
        int n;
        for (n = 0, K -= 1; K ; K &= (K - 1)) n++;
        return n & 1;
    }

K-th Symbol in Grammar LeetCode Solution in Python

    def kthGrammar(self, N, K):
        return bin(K - 1).count('1') & 1
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