## Problem – K-th Symbol in Grammar LeetCode Solution

We build a table of `n`

rows (**1-indexed**). We start by writing `0`

in the `1`^{st}

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 `1`^{st}

row is `0`

, the `2`^{nd}

row is `01`

, and the `3`^{rd}

row is `0110`

.

Given two integer `n`

and `k`

, return the `k`^{th}

(**1-indexed**) symbol in the `n`^{th}

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 <= 2`^{n - 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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