]you are given five coins; three are genuine, two are counterfeit. all are identical in appearance, but one counterfeit coin is 0.5g heavier and the other counterfeit coin is 0.5g lighter than the other three. using a pan balance, devise an algorithm to identify the counterfeit coins, including which is heavy and which is light. you may use the balance only three times. note: if there is a weight difference in the two pans, the balance will tip at the same rate whether the difference is 0.5g or 1g.