Case 1:
+---------+
|Y|Y|Y|Y|Y|
+---------+
|N|Y|N|N|N|
+---------+
|N|N|Y|N|N|
+---------+
|N|N|N|Y|Y|
+---------+
|N|N|N|N|Y|
+---------+
Case 2:
+-+
|Y|
+-+
Case 3:
+-------------------+
|Y|Y|N|N|N|N|N|N|N|N|
+-------------------+
|N|Y|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
Case 4:
+---------+
|Y|N|N|N|N|
+---------+
|N|N|N|N|N|
+---------+
|N|N|N|N|N|
+---------+
|N|N|N|N|N|
+---------+
|N|N|N|N|N|
+---------+
Case 5:
+-------------------+
|Y|N|N|N|Y|Y|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|Y|N|N|N|N|N|
+-------------------+
|N|N|N|N|Y|Y|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
|N|N|N|N|N|N|N|N|N|N|
+-------------------+
Case 6:
+-----------+
|Y|N|N|N|N|N|
+-----------+
|N|N|N|N|N|N|
+-----------+
|N|N|N|N|N|N|
+-----------+
|N|N|N|N|N|N|
+-----------+
|N|N|N|N|N|N|
+-----------+
|N|N|N|N|N|N|
+-----------+
Case 7:
+---------------------+
|Y|Y|Y|N|Y|N|Y|N|Y|N|Y|
+---------------------+
|N|Y|N|N|N|N|N|N|N|N|Y|
+---------------------+
|N|N|Y|N|N|N|N|N|N|N|N|
+---------------------+
|N|N|N|N|N|N|N|N|N|N|N|
+---------------------+
|N|Y|Y|N|Y|N|Y|N|Y|N|Y|
+---------------------+
|N|N|N|N|N|N|N|N|N|N|N|
+---------------------+
|N|N|Y|N|N|N|Y|N|Y|N|N|
+---------------------+
|N|N|N|N|N|N|N|N|N|N|N|
+---------------------+
|N|N|Y|N|N|N|N|N|Y|N|N|
+---------------------+
|N|N|N|N|N|N|N|N|N|N|N|
+---------------------+
|N|N|N|N|N|N|N|N|N|N|Y|
+---------------------+
Case 8:
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|Y|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|Y|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|N|
+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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