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# 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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