A10694. Dasha and cyclic table

Dasha is fond of challenging puzzles: Rubik's Cube $3×3×3$ , $4×4×4$ , $5×5×5$ and so on. This time she has a cyclic table of size $n×m$ , and each cell of the table contains a lowercase English letter. Each cell has coordinates $(i,j)$ ( $0<=i<n$ , $0<=j<m$ ). The table is cyclic means that to the right of cell $(i,j)$ there is the cell , and to the down there is the cell .

Dasha has a pattern as well. A pattern is a non-cyclic table of size $r×c$ . Each cell is either a lowercase English letter or a question mark. Each cell has coordinates $(i,j)$ ( $0<=i<r$ , $0<=j<c$ ).

The goal of the puzzle is to find all the appearance positions of the pattern in the cyclic table.

We say that the cell $(i,j)$ of cyclic table is an appearance position, if for every pair $(x,y)$ such that $0<=x<r$ and $0<=y<c$ one of the following conditions holds:

- There is a question mark in the cell $(x,y)$ of the pattern, or
- The cell  of the cyclic table equals to the cell $(x,y)$ of the pattern.

Dasha solved this puzzle in no time, as well as all the others she ever tried. Can you solve it?.

The first line contains two integers $n$ and $m$ ( $1<=n,m<=400$ ) — the cyclic table sizes.

Each of the next $n$ lines contains a string of $m$ lowercase English characters — the description of the cyclic table.

The next line contains two integers $r$ and $c$ ( $1<=r,c<=400$ ) — the sizes of the pattern.

Each of the next $r$ lines contains a string of $c$ lowercase English letter and/or characters '?' — the description of the pattern.

Print $n$ lines. Each of the $n$ lines should contain $m$ characters. Each of the characters should equal '0' or '1'.

The $j$ -th character of the $i$ -th ( $0$ -indexed) line should be equal to '1', in case the cell $(i,j)$ is an appearance position, otherwise it should be equal to '0'.