a,b,c,d,e
a,b,c,e,d
a,b,d,c,e
a,b,d,e,c
a,b,e,c,d
a,b,e,d,c
a,c,b,d,e
a,c,b,e,d
a,c,d,b,e
a,c,d,e,b
a,c,e,b,d
a,c,e,d,b
a,d,b,c,e
a,d,b,e,c
a,d,c,b,e
a,d,c,e,b
a,d,e,b,c
a,d,e,c,b
a,e,b,c,d
a,e,b,d,c
a,e,c,b,d
a,e,c,d,b
a,e,d,b,c
a,e,d,c,b
b,a,c,d,e
b,a,c,e,d
b,a,d,c,e
b,a,d,e,c
b,a,e,c,d
b,a,e,d,c
b,c,a,d,e
b,c,a,e,d
b,c,d,a,e
b,c,d,e,a
b,c,e,a,d
b,c,e,d,a
b,d,a,c,e
b,d,a,e,c
b,d,c,a,e
b,d,c,e,a
b,d,e,a,c
b,d,e,c,a
b,e,a,c,d
b,e,a,d,c
b,e,c,a,d
b,e,c,d,a
b,e,d,a,c
b,e,d,c,a
c,a,b,d,e
c,a,b,e,d
c,a,d,b,e
c,a,d,e,b
c,a,e,b,d
c,a,e,d,b
c,b,a,d,e
c,b,a,e,d
c,b,d,a,e
c,b,d,e,a
c,b,e,a,d
c,b,e,d,a
c,d,a,b,e
c,d,a,e,b
c,d,b,a,e
c,d,b,e,a
c,d,e,a,b
c,d,e,b,a
c,e,a,b,d
c,e,a,d,b
c,e,b,a,d
c,e,b,d,a
c,e,d,a,b
c,e,d,b,a
d,a,b,c,e
d,a,b,e,c
d,a,c,b,e
d,a,c,e,b
d,a,e,b,c
d,a,e,c,b
d,b,a,c,e
d,b,a,e,c
d,b,c,a,e
d,b,c,e,a
d,b,e,a,c
d,b,e,c,a
d,c,a,b,e
d,c,a,e,b
d,c,b,a,e
d,c,b,e,a
d,c,e,a,b
d,c,e,b,a
d,e,a,b,c
d,e,a,c,b
d,e,b,a,c
d,e,b,c,a
d,e,c,a,b
d,e,c,b,a
e,a,b,c,d
e,a,b,d,c
e,a,c,b,d
e,a,c,d,b
e,a,d,b,c
e,a,d,c,b
e,b,a,c,d
e,b,a,d,c
e,b,c,a,d
e,b,c,d,a
e,b,d,a,c
e,b,d,c,a
e,c,a,b,d
e,c,a,d,b
e,c,b,a,d
e,c,b,d,a
e,c,d,a,b
e,c,d,b,a
e,d,a,b,c
e,d,a,c,b
e,d,b,a,c
e,d,b,c,a
e,d,c,a,b
e,d,c,b,a