Cherry has a binary matrix $A$ consisting of $N$ rows and $M$ columns. The rows are numbered from $1$ to $N$, columns are numbered from $1$ to $M$. Element at row $i$ ($1$ ≤ $i$ ≤ $N$) and column $j$ ($1$ ≤ $j$ ≤ $M$) is denoted as $A_{ij}$. All elements of $A$ are either $0$ or $1$.
He performs $Q$ queries on matrix. Each query is provided by four integers $x_{1}$, $y_{1}$, $x_{2}$, $y_{2}$ which define the rectangle, where ($x_{1}$, $y_{1}$) stands for the coordinates of the top left cell of the rectangle, while ($x_{2}$, $y_{2}$) stands for the coordinates of the bottom right cell. You need to flip all the bits i.e. ($0$ to $1$, $1$ to $0$) that are located fully inside the query rectangle.
Finally, print the matrix after performing all the queries.
Note: $x_{1}$ represents the row number while $y_{1}$ represents the column number.

-----Input:-----
- The first line of the input contains two integers $N$ and $M$ — the number of rows and the number of columns in the matrix.
- Each of the next $N$ lines contains a string of length $M$, where the $j^{th}$ character of $i^{th}$ line denotes the value of $A_{i,j}$.
- Next line contains an integer $Q$ — the number of queries.
- Then follow $Q$ lines with queries descriptions. Each of them contains four space-seperated integers $x_{1}$, $y_{1}$, $x_{2}$, $y_{2}$ — coordinates of the up left and bottom right cells of the query rectangle.

-----Output:-----
Print the matrix, in the form of $N$ strings, after performing all the queries.

-----Constraints-----
- $1 \leq N,M \leq 1000$
- $0 \leq A_{ij} \leq 1$
- $1 \leq Q \leq 10^6$
- $1 \leq x_{1} \leq x_{2} \leq N$
- $1 \leq y_{1} \leq y_{2} \leq M$

-----Sample Input:-----
2 2
00
00
3
1 1 1 1
2 2 2 2
1 1 2 2

-----Sample Output:-----
01
10

-----Explanation:-----
Example case 1:
After processing the 1st query 1 1 1 1, matrix becomes:
$[1000][1000]\begin{bmatrix} 10$ \ $00 \end{bmatrix}$
After processing the 2nd query 2 2 2 2, the matrix becomes:
$[1001][1001]\begin{bmatrix} 10$ \ $01 \end{bmatrix}$
After processing the 3rd query 1 1 2 2, matrix becomes:
$[0110][0110]\begin{bmatrix} 01$ \ $10 \end{bmatrix}$
We need to output the matrix after processing all queries.

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