#Pyth, 34 31 25 bytes

h+fqQ+;s*VT[1 2.5 5;)yMM^U4 4]*4]0
yMh+fqQ+;s*VT[2 5;y;)^U4 4]*4]0
yMhfqQ+;s*VT[2 5;y;)^U4 4

Test suite.

Errors in impossibility.

This is essentially a brute-force.

This is quite fast, since there are only 256 possible arrangements.

Pyth, 34 31 25 bytes

h+fqQ+;s*VT[1 2.5 5;)yMM^U4 4]*4]0
yMh+fqQ+;s*VT[2 5;y;)^U4 4]*4]0
yMhfqQ+;s*VT[2 5;y;)^U4 4

Test suite.

Errors in impossibility.

This is essentially a brute-force.

This is quite fast, since there are only 256 possible arrangements.

#Pyth, 34 31 bytes

h+fqQ+;s*VT[1 2.5 5;)yMM^U4 4]*4]0
yMh+fqQ+;s*VT[2 5;y;)^U4 4]*4]0

Test suite.

This is essentially a brute-force.

This is quite fast, since there are only 256 possible arrangements.

#Pyth, 34 31 25 bytes

h+fqQ+;s*VT[1 2.5 5;)yMM^U4 4]*4]0
yMh+fqQ+;s*VT[2 5;y;)^U4 4]*4]0
yMhfqQ+;s*VT[2 5;y;)^U4 4

Test suite.

Errors in impossibility.

This is essentially a brute-force.

This is quite fast, since there are only 256 possible arrangements.

#Pyth, 34 31 bytes

h+fqQ+;s*VT[1 2.5 5;)yMM^U4 4]*4]0
yMh+fqQ+;s*VT[2 5;y;)^U4 4]*4]0

Test suite.

#Pyth, 34 31 bytes

h+fqQ+;s*VT[1 2.5 5;)yMM^U4 4]*4]0
yMh+fqQ+;s*VT[2 5;y;)^U4 4]*4]0

Test suite.

This is essentially a brute-force.

This is quite fast, since there are only 256 possible arrangements.