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?.

Input

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.

Output

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'.

Examples

Input

5 7 qcezchs hhedywq wikywqy qckrqzt bqexcxz 3 2 ?? yw ?q

Output

0000100 0001001 0000000 0000000 0000000

Input

10 10 fwtoayylhw yyaryyjawr ywrdzwhscy hnsyyxiphn bnjwzyyjvo kkjgseenwn gvmiflpcsy lxvkwrobwu wyybbcocyy yysijsvqry 2 2 ?? yy

Output

1000100000 0000000001 0001000000 0000010000 0000000000 0000000000 0000000000 0100000010 1000000001 0000010000

Input

8 6 ibrgxl xqdcsg okbcgi tvpetc xgxxig igghzo lmlaza gpswzv 1 4 gx??

Output

000100 000001 000000 000000 010001 000000 000000 000000

inputFormat

Input

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.

outputFormat

Output

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'.

Examples

Input

5 7 qcezchs hhedywq wikywqy qckrqzt bqexcxz 3 2 ?? yw ?q

Output

0000100 0001001 0000000 0000000 0000000

Input

10 10 fwtoayylhw yyaryyjawr ywrdzwhscy hnsyyxiphn bnjwzyyjvo kkjgseenwn gvmiflpcsy lxvkwrobwu wyybbcocyy yysijsvqry 2 2 ?? yy

Output

1000100000 0000000001 0001000000 0000010000 0000000000 0000000000 0000000000 0100000010 1000000001 0000010000

Input

8 6 ibrgxl xqdcsg okbcgi tvpetc xgxxig igghzo lmlaza gpswzv 1 4 gx??

Output

000100 000001 000000 000000 010001 000000 000000 000000

样例

5 7
qcezchs
hhedywq
wikywqy
qckrqzt
bqexcxz
3 2
??
yw
?q

0000100
0001001
0000000
0000000
0000000

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