Consider \(n>1\) lotus leaves placed around a circle. A frog jumps from one leaf to another in the following manner. It starts from some selected leaf. From there it skips exactly one leaf in the clockwise direction and jumps to the next one. Then it skips exactly two leaves in the clockwise direction and jumps to the next one and so on. Notice that the frog may visit the same leaf more than once. Suppose it turns out that if the frog continues this way then all the leaves are visited by the frog sometime or the other. Show that \(n\) cannot be odd.