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Given some resistor values (1.8ohm, 20ohm, 300ohm, 24kohm, 56kohm) I must construct series and parallel combinations that will give the following equivalent resistances: 8.5ohm, 161ohm, 12.17kohm, 96kohm.

Its also best if the smallest quantity of resistors are used to construct these circuits.

Ive been randomly trying different combinations but this must be done routinely in the field so there must be so rigorous algorithm to achieve this, right?

If anyone knows how this is down or perhaps knows a site with a tutorial on how to do this I would be very grateful.

Thanks.