multiply SI units

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Problem

Multiply the given SI units. (The units are ordered: m, kg, s, A, K, mol, cd.)

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Sample input:_

A mol * s2 A
m2 A * kg2 K2
m A2 K2 cd * A2 K mol
m2 A2 * mol2
m * s2 K2 cd
s2 * m A2 cd
m2 s A2 cd * s2 K2 mol cd2
s A K mol * m s A
s * m K2
m2 s2 K2 * A K2 cd
m kg2 s cd2 * m2 s2 K
m K2 mol2 * m2 mol2
m kg * mol
mol * m kg A K mol
m mol * K cd2
mol cd2 * mol2
m2 s A mol cd * m2 s2 A2 cd2
K2 * m s
m2 A K mol2 * m A2 K mol2
m s K * cd2
A K2 * m2 A K mol2
m kg A2 mol * m A cd2
s mol cd * m2 kg2 s2 A2 K mol cd2
A2 cd * s2 K2 mol
m kg s * m kg2 A
m s A * mol2 cd2
cd2 * m
m A2 mol cd * m2 A mol
s2 cd2 * A2
s mol2 * kg2 s A mol2
m * m2 s cd2
m kg2 K2 * mol
m cd2 * K2 mol
s2 cd * m
s2 K * A K2
A mol * A2
m kg2 mol * m kg2 A2 K mol2
A2 cd2 * A2 K2
kg A cd * s2 A
m2 mol2 cd2 * s mol cd
s2 mol * s cd
s K2 * m2 s2 A2
kg2 cd * s mol2
cd2 * m2 cd
kg s A2 mol2 * kg K mol2 cd2
m s2 * mol2 cd2
s * mol
m s2 A mol2 * mol2
m2 s2 A2 mol2 * m s2 A2 K
A2 * m K2

Sample output:

s2 A2 mol
m2 kg2 A K2
m A4 K3 mol cd
m2 A2 mol2
m s2 K2 cd
m s2 A2 cd
m2 s3 A2 K2 mol cd3
m s2 A2 K mol
m s K2
m2 s2 A K4 cd
m3 kg2 s3 K cd2
m3 K2 mol4
m kg mol
m kg A K mol2
m K mol cd2
mol3 cd2
m4 s3 A3 mol cd3
m s K2
m3 A3 K2 mol4
m s K cd2
m2 A2 K3 mol2
m2 kg A3 mol cd2
m2 kg2 s3 A2 K mol2 cd3
s2 A2 K2 mol cd
m2 kg3 s A
m s A mol2 cd2
m cd2
m3 A3 mol2 cd
s2 A2 cd2
kg2 s2 A mol4
m3 s cd2
m kg2 K2 mol
m K2 mol cd2
m s2 cd
s2 A K3
A3 mol
m2 kg4 A2 K mol3
A4 K2 cd2
kg s2 A2 cd
m2 s mol3 cd3
s3 mol cd
m2 s3 A2 K2
kg2 s mol2 cd
m2 cd3
kg2 s A2 K mol4 cd2
m s2 mol2 cd2
s mol
m s2 A mol4
m3 s4 A4 K mol2
m A2 K2

Sample input:_

m mol2 * kg2 A2 cd
m kg mol2 * s K2
s2 * kg2 cd
cd2 * m s2 A cd
m * A cd2
m2 s * kg mol cd2
mol * kg K
m2 A * s2 A
kg A K2 mol cd * A2 mol2
mol * m2 s2 K mol2
s K * kg2 cd
m mol cd * mol2 cd2
K mol2 cd * kg2 K2 mol2 cd
m2 s2 cd2 * m kg2
mol * s2 K2 mol
m2 s * kg
m2 kg A mol * s2 K cd2
A K2 cd * kg2 s2 K
A K2 * kg s K
m2 kg2 K * A2 mol
m2 s * A2 cd
kg2 K2 mol * cd
K2 cd2 * m2 s2 cd
K mol2 * mol
m2 A K * s2 K
m2 kg2 K * mol
kg cd * kg K mol
s2 A mol * kg2 K2
s2 A * s K2
s * s cd
s K mol2 * kg mol cd
s K2 * m2 s2
kg s2 mol * kg2 mol
kg K2 mol * s2 A mol
kg2 s2 A2 K mol cd * kg2 A2 mol
s K cd * m2 cd2
K2 * K mol2
m2 mol2 * A mol
m A2 * m kg2 s2 mol
kg A * kg A2 K
A2 K mol * kg2 A2
m kg2 K * s cd2
m2 * s2 A2 K2
kg2 * m A
kg s2 A K2 * kg K cd
kg2 A mol2 cd * K mol
m s2 mol * A2 mol
kg * K
kg2 * s2 mol2
kg2 mol * kg

Sample output:

m kg2 A2 mol2 cd
m kg s K2 mol2
kg2 s2 cd
m s2 A cd3
m A cd2
m2 kg s mol cd2
kg K mol
m2 s2 A2
kg A3 K2 mol3 cd
m2 s2 K mol3
kg2 s K cd
m mol3 cd3
kg2 K3 mol4 cd2
m3 kg2 s2 cd2
s2 K2 mol2
m2 kg s
m2 kg s2 A K mol cd2
kg2 s2 A K3 cd
kg s A K3
m2 kg2 A2 K mol
m2 s A2 cd
kg2 K2 mol cd
m2 s2 K2 cd3
K mol3
m2 s2 A K2
m2 kg2 K mol
kg2 K mol cd
kg2 s2 A K2 mol
s3 A K2
s2 cd
kg s K mol3 cd
m2 s3 K2
kg3 s2 mol2
kg s2 A K2 mol2
kg4 s2 A4 K mol2 cd
m2 s K cd3
K3 mol2
m2 A mol3
m2 kg2 s2 A2 mol
kg2 A3 K
kg2 A4 K mol
m kg2 s K cd2
m2 s2 A2 K2
m kg2 A
kg2 s2 A K3 cd
kg2 A K mol3 cd
m s2 A2 mol2
kg K
kg2 s2 mol2
kg3 mol

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