**Problem 10:**

After counting the number of new MOVers, Munir Hasan came with a peculiar plan of getting introduced to everyone. He declared that everyone will stand in a circle and starting from Munir Hasan pairs will be formed towards right. After each member has introduced himself to the one in his pair, members in the pair will interchange their positions and a similar grouping will be done. The process will be repeated until someone has been paired with the same person for the second time. Then the group will be split up, Munir Hasan will form a subgroup with members not introduced with each other and the entire process will be repeated. Pairing will always start from Munir Hasan. It was seen that Munir Hasan needed to split his group $10$ times. What was the number of new MOVers?