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Statement
Goal
Aladdin was out celebrating last night and smashed his magic carpet into a spire. He managed to escape injury but he somehow managed to tear a chunk out of the fabric and can't find the missing piece. Unfortunately the cost of the magic thread used in the carpet is extremely expensive even for a prince so he'll have to patch the hole by providing the missing pattern. This wouldn't be such a big deal but due to the nature of magic the carpet has a very peculiar fractal pattern to it.As Aladdin inspects the whole carpet at various levels of detail this is what he would normally see:
Level 0:
0
Level 1:
000
0+0
000
Level 2:
000000000
0+00+00+0
000000000
000+++000
0+0+++0+0
000+++000
000000000
0+00+00+0
000000000
Level 3:
000000000000000000000000000
0+00+00+00+00+00+00+00+00+0
000000000000000000000000000
000+++000000+++000000+++000
0+0+++0+00+0+++0+00+0+++0+0
000+++000000+++000000+++000
000000000000000000000000000
0+00+00+00+00+00+00+00+00+0
000000000000000000000000000
000000000+++++++++000000000
0+00+00+0+++++++++0+00+00+0
000000000+++++++++000000000
000+++000+++++++++000+++000
0+0+++0+0+++++++++0+0+++0+0
000+++000+++++++++000+++000
000000000+++++++++000000000
0+00+00+0+++++++++0+00+00+0
000000000+++++++++000000000
000000000000000000000000000
0+00+00+00+00+00+00+00+00+0
000000000000000000000000000
000+++000000+++000000+++000
0+0+++0+00+0+++0+00+0+++0+0
000+++000000+++000000+++000
000000000000000000000000000
0+00+00+00+00+00+00+00+00+0
000000000000000000000000000
etc.
The seamstress will give you the level of detail that she needs and the top left and bottom right coordinates of the piece she needs the pattern for.
Input
L an integer, the number of levels
X1 Y1 X2 Y2 , the top left and bottom right coordinates of the patch that is needed with the top left of the carpet being coordinates 0,0
X1 Y1 X2 Y2 , the top left and bottom right coordinates of the patch that is needed with the top left of the carpet being coordinates 0,0
Output
N lines of M characters consisting of either '0' or '+' that represent the 2 thread colors of the carpet
Constraints
Example
Input
2 0 0 8 8
Output
000000000 0+00+00+0 000000000 000+++000 0+0+++0+0 000+++000 000000000 0+00+00+0 000000000
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