st	vct
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0	0
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0	
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0	
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0	
	
0	
	
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0	
	
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0	0
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0	0
	
1	1
	
0	0
	
0	0
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0	0
	
	
0	0
	
	
	
	
	
	
	
	
	
0	0
	
	
	
0	0
	
0	0
	
0	0
0	0
	
0	0
0	0
	
	
0	0
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0	0
	
0	0
0	0
	
0	0
0	
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0	
	
0	0
0	0
0	0
0	0
0	
	
0	
1	1
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0	0
	
0	0
0	0
	
	
0	0
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0	0
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1	1
0	
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0	0
1	1
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0	
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1	1
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0	
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0	0
	
0	0
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0	0
	
	
0	
	
	
0	0
	
0	0
0	0
0	0
0	0
	
0	0
0	0
1	1
0	0
0	0
	
	
0	0
0	0
0	0
0	0
	
	
	
0	0
0	0
1	1
	
	
0	0
0	0
1	1
	
	
0	0
0	0
1	1
	
0	0
0	0
0	0
0	0
0	0
0	0
	
	
	
0	0
0	0
0	0
	
	
	
0	
	
	
0	
	
0	
0	0
0	
	
	
	
	
	
0	0
0	
0	
0	
0	0
	
0	
	
0	
0	
	
	
0	
0	0
	
0	
0	0
0	0
0	
0	0
	
0	0
0	0
0	
0	
0	
	
0	0
0	
0	
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0	0
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0	
0	0
0	0
0	0
0	0
0	0
0	0
0	
0	0
	
	
1	1
	
	
	
	
0	
0	
	
	
0	
	
0	
0	0
0	0
	
	
1	1
	
	
	
0	0
0	0
1	1
0	0
0	0
0	0
0	0
	
	
0	0
	
0	0
0	0
0	0
0	0
	
0	0
0	0
0	0
1	1
0	0
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0	
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0	0
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0	0
	
0	0
	
0	0
	
	
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
	
0	
	
0	0
0	0
0	0
0	0
	
	
	
	
	
	
	
0	0
0	0
	
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
	
0	0
	
1	1
0	0
	
	
0	0
0	0
0	0
0	0
	
	
0	0
0	0
0	0
0	0
	
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
1	1
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0	0
0	0
0	0
1	1
1	1
1	1
	
0	0
0	0
0	0
0	0
0	0
	
0	0
0	
0	0
	
	
1	1
	
0	
	
0	0
0	0
	
	
0	0
0	0
	
	
0	0
	
0	0
0	0
	
	
0	0
	
	
0	0
1	1
0	0
	
0	0
1	1
0	0
0	0
0	0
	
0	0
0	0
0	0
	
0	0
0	
	
0	0
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0	0
0	0
1	1
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0	
	
0	0
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0	0
	
0	0
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0	0
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1	1
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0	0
	
0	0
0	0
0	0
1	1
0	0
0	0
0	0
0	0
0	0
	
1	1
0	0
0	0
0	0
	
0	0
0	0
0	0
1	1
	
	
0	0
0	0
	
	
	
1	1
0	0
0	0
0	0
	
	
0	0
0	0
0	0
0	0
1	1
0	0
0	0
0	0
0	1
0	0
0	0
1	1
0	
1	1
	
0	0
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1	1
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0	0
0	0
	
0	0
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0	0
0	0
1	1
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0	0
1	1
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0	0
	
0	0
0	0
1	1
0	0
	
0	0
	
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
	
0	0
0	0
	
0	0
0	0
1	1
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0	0
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0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
	
	
0	0
0	0
	
0	0
	
	
	
0	0
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0	0
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0	0
0	0
	
0	0
0	0
0	0
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0	0
	
0	
0	0
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1	1
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0	
1	1
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1	1
0	0
1	1
0	0
0	0
0	0
0	
	
0	0
0	0
0	0
0	0
0	0
	
	
	
0	0
0	0
0	0
0	0
	
	
	
	
1	1
0	0
	
0	0
0	0
0	0
0	0
0	0
	
	
	
	
0	0
0	0
0	1
0	0
0	0
0	0
	
	
0	0
	
0	0
0	0
	
0	0
0	0
0	0
0	0
	
	
0	0
	
0	0
0	0
	
0	0
1	1
0	0
	
0	0
0	0
	
	
	
0	0
	
	
0	0
0	0
0	0
	
0	0
0	0
0	
	
1	1
0	
0	0
0	0
0	
	
0	0
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0	0
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0	0
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0	0
	
0	0
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1	1
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0	0
	
0	0
	
0	0
0	1
0	0
1	1
0	0
1	1
0	0
	
0	0
0	0
0	0
0	0
	
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
	
0	0
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0	0
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1	1
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0	0
	
0	
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0	0
0	0
0	0
0	0
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0	0
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0	0
	
0	0
	
0	0
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0	0
	
0	0
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0	0
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0	
	
0	0
0	0
0	0
	
0	0
0	0
	
0	0
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1	1
0	
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0	0
0	
0	
0	0
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0	0
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0	
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0	
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0	0
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0	0
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1	1
	
0	0
0	0
0	0
1	1
	
	
0	0
0	0
1	1
	
	
	
0	0
	
0	0
0	0
0	0
	
	
	
0	0
0	0
1	1
	
0	0
0	0
0	0
0	0
0	0
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0	0
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0	0
	
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0	
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0	0
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0	0
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0	0
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0	0
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0	0
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0	0
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1	1
	
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0	
	
0	0
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0	
	
0	0
	
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0	0
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0	0
	
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0	0
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0	0
	
0	
	
0	0
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1	1
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0	0
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1	1
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0	0
	
0	0
0	0
0	0
1	1
	
	
	
0	
0	0
0	0
0	0
0	0
0	0
	
1	1
	
0	0
	
0	0
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0	0
	
	
	
	
0	0
	
0	0
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0	0
0	0
	
0	0
	
	
0	0
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0	
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0	0
	
	
1	1
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0	0
	
0	0
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0	
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0	0
	
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0	0
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0	0
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0	0
	
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0	0
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0	
	
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0	0
	
0	0
	
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0	0
	
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0	0
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0	0
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0	0
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0	0
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0	0
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1	1
	
0	0
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0	0
	
0	0
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0	
	
	
0	0
	
	
0	0
	
0	0
	
	
	
	
	
	
0	0
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0	
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0	0
	
0	0
	
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0	0
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0	0
	
	
	
	
	
0	0
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0	0
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0	0
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0	0
0	0
	
0	0
	
	
0	0
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
0	0
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0	0
0	0
	
	
1	1
	
0	0
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0	0
0	0
	
	
0	0
	
	
0	0
1	1
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0	
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0	0
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0	
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0	0
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0	0
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0	0
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0	0
	
	
	
0	0
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0	0
	
0	0
	
1	1
	
0	0
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0	0
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0	0
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0	0
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0	0
	
0	0
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0	0
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0	0
	
	
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0	0
	
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0	0
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0	0
	
0	0
	
0	0
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1	1
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0	0
	
	
0	0
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0	0
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0	0
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1	
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0	
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1	1
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0	0
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1	1
	
0	0
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1	1
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0	0
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0	0
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1	1
	
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0	
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0	
	
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0	0
	
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1	1
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0	0
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0	0
	
0	0
0	0
	
1	1
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0	0
	
0	0
	
	
	
0	0
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1	1
	
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0	0
	
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1	1
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0	
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0	0
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0	0
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0	0
	
0	0
0	0
	
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
1	1
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
	
	
	
0	0
0	0
0	0
	
0	0
	
0	0
	
	
0	0
	
0	0
	
0	0
0	0
0	0
	
0	0
0	0
	
0	0
	
	
0	0
0	0
	
	
	
	
0	0
0	0
0	0
0	0
	
0	0
0	0
	
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
1	1
	
0	0
	
1	1
	
0	0
0	0
	
	
	
0	0
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	
0	0
0	0
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
	
0	0
	
1	1
0	0
0	0
1	1
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	0
0	
0	0
0	0
0	0
	
0	0
0	0
0	0
0	0
0	0
0	0
0	0
1	1
0	0
	
0	0
0	0
