(algforminput) vars a,b,c,d,e;
a^2,
b^2,
c^2,
d^2,
e^2,
b*a*b,
c*a*c,
c*b*c,
d*a*d,
d*b*d,
d*c*d,
e*a*e,
e*b*e,
e*c*e,
e*d*e,
c*a*b*c,
c*b*a*c,
d*a*b*d,
d*a*c*d,
d*b*a*d,
d*b*c*d,
d*c*a*d,
d*c*b*d,
e*a*b*e,
e*a*c*e,
e*a*d*e,
e*b*a*e,
e*b*c*e,
e*b*d*e,
e*c*a*e,
e*c*b*e,
e*c*d*e,
e*d*a*e,
e*d*b*e,
e*d*c*e,
d*a*b*c*d,
d*a*c*b*d,
d*b*a*c*d,
d*b*c*a*d,
d*c*a*b*d,
d*c*b*a*d,
e*a*b*c*e,
e*a*b*d*e,
e*a*c*b*e,
e*a*c*d*e,
e*a*d*b*e,
e*a*d*c*e,
e*b*a*c*e,
e*b*a*d*e,
e*b*c*a*e,
e*b*c*d*e,
e*b*d*a*e,
e*b*d*c*e,
e*c*a*b*e,
e*c*a*d*e,
e*c*b*a*e,
e*c*b*d*e,
e*c*d*a*e,
e*c*d*b*e,
e*d*a*b*e,
e*d*a*c*e,
e*d*b*a*e,
e*d*b*c*e,
e*d*c*a*e,
e*d*c*b*e,
c*a*b*a*c*a,
c*a*b*a*c*b,
d*a*b*a*d*a,
d*a*b*a*d*b,
d*a*c*a*d*a,
d*a*c*a*d*c,
d*b*a*c*a*d,
d*b*c*b*a*d,
d*b*c*b*d*b,
d*b*c*b*d*c,
d*c*a*b*a*d,
e*a*b*a*e*a,
e*a*b*a*e*b,
e*a*b*c*d*e,
e*a*b*d*c*e,
e*a*c*a*e*a,
e*a*c*a*e*c,
e*a*c*b*d*e,
e*a*c*d*b*e,
e*a*d*a*e*a,
e*a*d*a*e*d,
e*a*d*b*c*e,
e*a*d*c*b*e,
e*b*a*c*a*e,
e*b*a*c*d*e,
e*b*a*d*a*e,
e*b*a*d*c*e,
e*b*c*a*d*e,
e*b*c*b*a*e,
e*b*c*b*e*b,
e*b*c*b*e*c,
e*b*c*d*a*e,
e*b*d*a*c*e,
e*b*d*b*a*e,
e*b*d*b*e*b,
e*b*d*b*e*d,
e*b*d*c*a*e,
e*c*a*b*a*e,
e*c*a*b*d*e,
e*c*a*d*a*e,
e*c*a*d*b*e,
e*c*b*a*d*e,
e*c*b*d*a*e,
e*c*b*d*b*e,
e*c*d*a*b*e,
e*c*d*b*a*e,
e*c*d*c*a*e,
e*c*d*c*b*e,
e*c*d*c*e*c,
e*c*d*c*e*d,
e*d*a*b*a*e,
e*d*a*b*c*e,
e*d*a*c*a*e,
e*d*a*c*b*e,
e*d*b*a*c*e,
e*d*b*c*a*e,
e*d*b*c*b*e,
e*d*c*a*b*e,
e*d*c*b*a*e,
d*a*b*a*c*d*a,
d*a*b*a*c*d*b,
d*a*b*c*a*d*a,
d*a*b*c*a*d*c,
d*a*b*c*b*d*b,
d*a*b*c*b*d*c,
d*a*c*a*b*d*a,
d*a*c*a*b*d*c,
d*a*c*a*d*b*c,
d*a*c*b*a*d*a,
d*a*c*b*a*d*b,
d*a*c*b*a*d*c,
d*b*a*c*b*d*b,
d*b*a*c*b*d*c,
d*b*c*a*b*d*b,
d*b*c*a*b*d*c,
d*b*c*b*d*a*b,
d*b*c*b*d*a*c,
e*a*b*a*c*e*a,
e*a*b*a*c*e*b,
e*a*b*a*d*e*a,
e*a*b*a*d*e*b,
e*a*b*c*a*e*a,
e*a*b*c*a*e*c,
e*a*b*c*b*e*b,
e*a*b*c*b*e*c,
e*a*b*d*a*e*a,
e*a*b*d*a*e*d,
e*a*b*d*b*e*b,
e*a*b*d*b*e*d,
e*a*c*a*b*e*a,
e*a*c*a*b*e*c,
e*a*c*a*d*e*a,
e*a*c*a*d*e*c,
e*a*c*a*e*b*c,
e*a*c*b*a*e*a,
e*a*c*b*a*e*b,
e*a*c*b*a*e*c,
e*a*c*b*d*b*e,
e*a*c*d*a*e*a,
e*a*c*d*a*e*d,
e*a*c*d*c*b*e,
e*a*c*d*c*e*c,
e*a*c*d*c*e*d,
e*a*d*a*b*e*a,
e*a*d*a*b*e*d,
e*a*d*a*c*e*a,
e*a*d*a*c*e*d,
e*a*d*a*e*b*d,
e*a*d*a*e*c*d,
e*a*d*b*a*e*a,
e*a*d*b*a*e*b,
e*a*d*b*a*e*d,
e*a*d*b*c*b*e,
e*a*d*c*a*e*a,
e*a*d*c*a*e*c,
e*a*d*c*a*e*d,
e*b*a*c*a*d*e,
e*b*a*c*b*e*b,
e*b*a*c*b*e*c,
e*b*a*c*d*a*e,
e*b*a*d*a*c*e,
e*b*a*d*b*e*b,
e*b*a*d*b*e*d,
e*b*a*d*c*a*e,
e*b*c*a*b*e*b,
e*b*c*a*b*e*c,
e*b*c*a*d*a*e,
e*b*c*b*a*d*e,
e*b*c*b*d*e*b,
e*b*c*b*d*e*c,
e*b*c*b*e*a*b,
e*b*c*b*e*a*c,
e*b*c*d*b*a*e,
e*b*c*d*b*e*b,
e*b*c*d*b*e*d,
e*b*c*d*c*a*e,
e*b*c*d*c*e*c,
e*b*c*d*c*e*d,
e*b*d*a*b*e*b,
e*b*d*a*b*e*d,
e*b*d*a*c*a*e,
e*b*d*b*a*c*e,
e*b*d*b*c*e*b,
e*b*d*b*c*e*d,
e*b*d*b*e*a*b,
e*b*d*b*e*a*d,
e*b*d*b*e*c*d,
e*b*d*c*b*a*e,
e*b*d*c*b*e*b,
e*b*d*c*b*e*c,
e*b*d*c*b*e*d,
e*c*a*b*a*d*e,
e*c*a*b*d*a*e,
e*c*a*b*d*b*e,
e*c*a*d*a*b*e,
e*c*a*d*b*a*e,
e*c*a*d*c*b*e,
e*c*a*d*c*e*c,
e*c*a*d*c*e*d,
e*c*b*a*d*a*e,
e*c*b*a*d*b*e,
e*c*b*d*a*b*e,
e*c*b*d*b*a*e,
e*c*b*d*c*a*e,
e*c*b*d*c*e*c,
e*c*b*d*c*e*d,
e*c*d*a*b*a*e,
e*c*d*a*c*b*e,
e*c*d*a*c*e*c,
e*c*d*a*c*e*d,
e*c*d*b*c*a*e,
e*c*d*b*c*e*c,
e*c*d*b*c*e*d,
e*c*d*c*a*b*e,
e*c*d*c*b*a*e,
e*c*d*c*e*a*c,
e*c*d*c*e*a*d,
e*c*d*c*e*b*c,
e*c*d*c*e*b*d,
e*d*a*b*a*c*e,
e*d*a*b*c*a*e,
e*d*a*b*c*b*e,
e*d*a*c*a*b*e,
e*d*a*c*b*a*e,
e*d*b*a*c*a*e,
e*d*b*a*c*b*e,
e*d*b*c*a*b*e,
e*d*b*c*b*a*e,
e*d*c*a*b*a*e,
d*a*b*a*c*a*d*a,
d*a*b*a*c*b*d*b,
d*a*b*c*a*b*d*c,
d*a*b*c*a*d*b*c,
d*a*b*c*b*a*d*a,
d*a*b*c*b*a*d*b,
d*a*b*c*b*a*d*c,
d*a*b*c*b*d*a*b,
d*a*b*c*b*d*a*c,
d*a*c*a*b*a*d*a,
d*a*c*a*b*a*d*c,
d*a*c*a*b*d*b*c,
d*b*a*c*a*b*d*b,
d*b*a*c*a*b*d*c,
d*b*a*c*b*a*d*b,
d*b*a*c*b*a*d*c,
d*b*a*c*b*d*a*b,
d*b*a*c*b*d*a*c,
d*b*c*a*b*a*d*b,
d*b*c*a*b*a*d*c,
d*b*c*a*b*d*a*b,
d*c*a*b*a*c*d*a,
d*c*a*b*a*c*d*b,
d*c*a*b*a*c*d*c,
e*a*b*a*c*a*e*a,
e*a*b*a*c*b*e*b,
e*a*b*a*c*d*e*a,
e*a*b*a*c*d*e*b,
e*a*b*a*d*a*e*a,
e*a*b*a*d*b*e*b,
e*a*b*a*d*c*e*a,
e*a*b*a*d*c*e*b,
e*a*b*c*a*b*e*c,
e*a*b*c*a*d*e*a,
e*a*b*c*a*d*e*c,
e*a*b*c*a*e*b*c,
e*a*b*c*b*a*e*a,
e*a*b*c*b*a*e*b,
e*a*b*c*b*a*e*c,
e*a*b*c*b*d*e*b,
e*a*b*c*b*d*e*c,
e*a*b*c*b*e*a*b,
e*a*b*c*b*e*a*c,
e*a*b*c*d*a*e*a,
e*a*b*c*d*a*e*d,
e*a*b*c*d*b*e*b,
e*a*b*c*d*b*e*d,
e*a*b*c*d*c*e*c,
e*a*b*c*d*c*e*d,
e*a*b*d*a*b*e*d,
e*a*b*d*a*c*e*a,
e*a*b*d*a*c*e*d,
e*a*b*d*a*e*b*d,
e*a*b*d*a*e*c*d,
e*a*b*d*b*a*e*a,
e*a*b*d*b*a*e*b,
e*a*b*d*b*a*e*d,
e*a*b*d*b*c*e*b,
e*a*b*d*b*c*e*d,
e*a*b*d*b*e*a*b,
e*a*b*d*b*e*a*d,
e*a*b*d*b*e*c*d,
e*a*b*d*c*a*e*a,
e*a*b*d*c*a*e*c,
e*a*b*d*c*a*e*d,
e*a*b*d*c*b*e*b,
e*a*b*d*c*b*e*c,
e*a*b*d*c*b*e*d,
e*a*c*a*b*a*e*a,
e*a*c*a*b*a*e*c,
e*a*c*a*b*d*e*a,
e*a*c*a*b*d*e*c,
e*a*c*a*b*e*b*c,
e*a*c*a*d*a*e*a,
e*a*c*a*d*b*e*a,
e*a*c*a*d*b*e*c,
e*a*c*a*d*c*e*c,
e*a*c*a*d*e*b*c,
e*a*c*b*a*d*e*a,
e*a*c*b*a*d*e*b,
e*a*c*b*a*d*e*c,
e*a*c*b*d*a*e*a,
e*a*c*b*d*a*e*d,
e*a*c*b*d*c*e*c,
e*a*c*b*d*c*e*d,
e*a*c*d*a*b*e*a,
e*a*c*d*a*b*e*d,
e*a*c*d*a*c*e*d,
e*a*c*d*a*e*b*d,
e*a*c*d*a*e*c*d,
e*a*c*d*b*a*e*a,
e*a*c*d*b*a*e*b,
e*a*c*d*b*a*e*d,
e*a*c*d*b*c*e*c,
e*a*c*d*b*c*e*d,
e*a*c*d*c*a*e*a,
e*a*c*d*c*a*e*c,
e*a*c*d*c*a*e*d,
e*a*c*d*c*e*a*c,
e*a*c*d*c*e*a*d,
e*a*c*d*c*e*b*c,
e*a*c*d*c*e*b*d,
e*a*d*a*b*a*e*a,
e*a*d*a*b*a*e*d,
e*a*d*a*b*c*e*a,
e*a*d*a*b*c*e*d,
e*a*d*a*b*e*b*d,
e*a*d*a*b*e*c*d,
e*a*d*a*c*a*e*a,
e*a*d*a*c*a*e*d,
e*a*d*a*c*b*e*a,
e*a*d*a*c*b*e*d,
e*a*d*a*c*e*b*d,
e*a*d*a*c*e*c*d,
e*a*d*a*e*b*c*d,
e*a*d*a*e*c*b*d,
e*a*d*b*a*c*e*a,
e*a*d*b*a*c*e*b,
e*a*d*b*a*c*e*d,
e*a*d*b*a*e*c*d,
e*a*d*b*c*a*e*a,
e*a*d*b*c*a*e*c,
e*a*d*b*c*a*e*d,
e*a*d*c*a*b*e*a,
e*a*d*c*a*b*e*c,
e*a*d*c*a*b*e*d,
e*a*d*c*a*e*b*c,
e*a*d*c*a*e*b*d,
e*a*d*c*b*a*e*a,
e*a*d*c*b*a*e*b,
e*a*d*c*b*a*e*c,
e*a*d*c*b*a*e*d,
e*b*a*c*a*b*e*b,
e*b*a*c*a*b*e*c,
e*b*a*c*a*d*a*e,
e*b*a*c*b*a*e*b,
e*b*a*c*b*a*e*c,
e*b*a*c*b*d*e*b,
e*b*a*c*b*d*e*c,
e*b*a*c*b*e*a*b,
e*b*a*c*b*e*a*c,
e*b*a*c*d*b*e*b,
e*b*a*c*d*b*e*d,
e*b*a*c*d*c*a*e,
e*b*a*c*d*c*e*c,
e*b*a*c*d*c*e*d,
e*b*a*d*a*b*e*b,
e*b*a*d*a*b*e*d,
e*b*a*d*a*c*a*e,
e*b*a*d*b*a*e*b,
e*b*a*d*b*a*e*d,
e*b*a*d*b*c*e*b,
e*b*a*d*b*c*e*d,
e*b*a*d*b*e*a*b,
e*b*a*d*b*e*a*d,
e*b*a*d*b*e*c*d,
e*b*a*d*c*b*e*b,
e*b*a*d*c*b*e*c,
e*b*a*d*c*b*e*d,
e*b*c*a*b*a*e*b,
e*b*c*a*b*a*e*c,
e*b*c*a*b*d*e*b,
e*b*c*a*b*d*e*c,
e*b*c*a*b*e*a*b,
e*b*c*a*d*b*e*b,
e*b*c*a*d*b*e*d,
e*b*c*a*d*c*e*c,
e*b*c*a*d*c*e*d,
e*b*c*b*a*d*b*e,
e*b*c*b*d*a*e*b,
e*b*c*b*d*a*e*c,
e*b*c*b*d*b*e*b,
e*b*c*b*d*c*e*c,
e*b*c*b*d*e*a*b,
e*b*c*b*d*e*a*c,
e*b*c*b*e*a*d*a,
e*b*c*d*a*b*e*b,
e*b*c*d*a*b*e*d,
e*b*c*d*a*c*e*c,
e*b*c*d*a*c*e*d,
e*b*c*d*b*c*e*d,
e*b*c*d*b*e*a*b,
e*b*c*d*b*e*a*d,
e*b*c*d*b*e*c*d,
e*b*c*d*c*b*a*e,
e*b*c*d*c*b*e*b,
e*b*c*d*c*b*e*c,
e*b*c*d*c*b*e*d,
e*b*c*d*c*e*a*c,
e*b*c*d*c*e*a*d,
e*b*c*d*c*e*b*c,
e*b*c*d*c*e*b*d,
e*b*d*a*b*a*e*b,
e*b*d*a*b*a*e*d,
e*b*d*a*b*c*e*b,
e*b*d*a*b*c*e*d,
e*b*d*a*b*e*a*b,
e*b*d*a*b*e*c*d,
e*b*d*a*c*b*e*b,
e*b*d*a*c*b*e*c,
e*b*d*a*c*b*e*d,
e*b*d*b*a*c*b*e,
e*b*d*b*c*a*e*b,
e*b*d*b*c*a*e*d,
e*b*d*b*c*b*e*b,
e*b*d*b*c*b*e*d,
e*b*d*b*c*e*a*b,
e*b*d*b*c*e*a*d,
e*b*d*b*c*e*c*d,
e*b*d*b*e*a*c*a,
e*b*d*b*e*a*c*d,
e*b*d*b*e*c*a*d,
e*b*d*c*a*b*e*b,
e*b*d*c*a*b*e*c,
e*b*d*c*a*b*e*d,
e*b*d*c*b*e*a*b,
e*b*d*c*b*e*a*c,
e*b*d*c*b*e*a*d,
e*c*a*b*a*c*e*a,
e*c*a*b*a*c*e*b,
e*c*a*b*a*c*e*c,
e*c*a*b*a*d*a*e,
e*c*a*b*a*d*b*e,
e*c*a*b*d*a*b*e,
e*c*a*b*d*b*a*e,
e*c*a*b*d*c*e*c,
e*c*a*b*d*c*e*d,
e*c*a*d*a*b*a*e,
e*c*a*d*a*c*b*e,
e*c*a*d*a*c*e*c,
e*c*a*d*a*c*e*d,
e*c*a*d*b*c*e*c,
e*c*a*d*b*c*e*d,
e*c*a*d*c*a*e*c,
e*c*a*d*c*a*e*d,
e*c*a*d*c*b*a*e,
e*c*a*d*c*e*a*c,
e*c*a*d*c*e*a*d,
e*c*a*d*c*e*b*c,
e*c*a*d*c*e*b*d,
e*c*b*a*d*a*b*e,
e*c*b*a*d*b*a*e,
e*c*b*a*d*c*a*e,
e*c*b*a*d*c*e*c,
e*c*b*a*d*c*e*d,
e*c*b*d*a*b*a*e,
e*c*b*d*a*c*e*c,
e*c*b*d*a*c*e*d,
e*c*b*d*b*c*a*e,
e*c*b*d*b*c*e*c,
e*c*b*d*b*c*e*d,
e*c*b*d*c*a*b*e,
e*c*b*d*c*b*a*e,
e*c*b*d*c*b*e*c,
e*c*b*d*c*b*e*d,
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e*d*a*b*a*c*d*c*b*e*a,
e*d*a*b*a*c*d*c*b*e*b,
e*d*a*b*a*c*d*c*b*e*d,
e*d*a*b*a*c*d*c*e*c*d,
e*d*a*b*a*c*d*e*c*a*d,
e*d*a*b*a*c*d*e*c*b*d,
e*d*a*b*a*d*c*a*b*a*e,
e*d*a*b*a*d*e*c*a*b*d,
e*d*a*b*a*d*e*c*b*a*d,
e*d*a*b*c*a*b*a*d*e*c,
e*d*a*b*c*a*b*a*d*e*d,
e*d*a*b*c*a*b*d*a*e*b,
e*d*a*b*c*a*b*d*a*e*c,
e*d*a*b*c*a*b*d*a*e*d,
e*d*a*b*c*a*b*d*b*e*c,
e*d*a*b*c*a*b*d*b*e*d,
e*d*a*b*c*a*b*d*e*a*b,
e*d*a*b*c*a*b*d*e*a*d,
e*d*a*b*c*a*b*d*e*b*c,
e*d*a*b*c*a*b*d*e*b*d,
e*d*a*b*c*a*d*b*a*c*e,
e*d*a*b*c*a*d*e*b*a*d,
e*d*a*b*c*b*d*a*e*a*b,
e*d*a*b*c*b*d*a*e*a*c,
e*d*a*b*c*b*d*a*e*a*d,
e*d*a*c*a*b*a*c*d*e*a,
e*d*a*c*a*b*a*c*d*e*c,
e*d*a*c*a*b*a*c*d*e*d,
e*d*a*c*a*b*a*d*b*e*a,
e*d*a*c*a*b*a*d*b*e*c,
e*d*a*c*a*b*a*d*b*e*d,
e*d*a*c*a*b*a*d*e*b*d,
e*d*a*c*a*b*d*b*a*e*a,
e*d*a*c*a*b*d*b*a*e*c,
e*d*a*c*a*b*d*b*a*e*d,
e*d*a*c*a*b*d*b*e*b*c,
e*d*a*c*a*b*d*b*e*b*d,
e*d*a*c*a*b*d*e*b*a*d,
e*d*a*c*a*d*e*b*a*c*a,
e*d*a*c*a*d*e*b*a*c*b,
e*d*a*c*a*d*e*b*a*c*d,
e*d*b*a*c*a*b*a*d*e*b,
e*d*b*a*c*a*b*a*d*e*c,
e*d*b*a*c*a*b*a*d*e*d,
e*d*b*a*c*a*b*d*a*c*e,
e*d*b*a*c*a*b*d*e*a*b,
e*d*b*a*c*a*b*d*e*a*d,
e*d*b*a*c*b*a*d*a*e*b,
e*d*b*a*c*b*a*d*a*e*c,
e*d*b*a*c*b*a*d*a*e*d,
e*d*b*a*c*b*a*d*e*a*c,
e*d*b*a*c*b*a*d*e*a*d,
e*d*b*c*a*b*a*c*d*e*b,
e*d*b*c*a*b*a*c*d*e*c,
e*d*b*c*a*b*a*c*d*e*d,
e*d*b*c*a*b*a*d*a*e*b,
e*d*b*c*a*b*a*d*a*e*c,
e*d*b*c*a*b*a*d*a*e*d,
e*d*b*c*a*b*a*d*e*a*b,
e*d*b*c*a*b*a*d*e*a*d,
e*d*b*c*a*b*d*e*a*c*a,
e*d*b*c*a*b*d*e*a*c*b,
e*d*b*c*a*b*d*e*a*c*d;
