For each integer i=0,1,2,…, there are eight balls each weighing 2i grams. We may place balls as much as we desire into given n boxes. If the total weight of balls in each box is same, what is the largest possible value of n?<spanclass=′latex−bold′>a)</span>8<spanclass=′latex−bold′>b)</span>10<spanclass=′latex−bold′>c)</span>12<spanclass=′latex−bold′>d)</span>15<spanclass=′latex−bold′>e)</span>16