Description

Input

Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 10^4$). Description of the test cases follows.

The first line of each test case contains two integers $n$ and $k$ ($2 \le k \le n \le 3 \cdot 10^5$, $k$ is even)  — the length of the string and the parameter for a balanced bitstring.

The next line contains the string $s$ ($|s| = n$). It is given that $s$ consists of only 0, 1, and ?.

It is guaranteed that the sum of $n$ over all test cases does not exceed $3 \cdot 10^5$.

Output

For each test case, print YES if we can replace every ? in $s$ with 0 or 1 such that the resulting bitstring is $k$-balanced, or NO if it is not possible.

9
6 4
100110
3 2
1?1
3 2
1?0
4 4
????
7 4
1?0??1?
10 10
11??11??11
4 2
1??1
4 4
?0?0
6 2
????00

YES
YES
NO
YES
YES
NO
NO
YES
NO

Note

For the first test case, the string is already a $4$-balanced bitstring.

For the second test case, the string can be transformed into 101.

For the fourth test case, the string can be transformed into 0110.

For the fifth test case, the string can be transformed into 1100110.