The following operation is repeated for a certain integer repeatedly.
<Operation>
It doubles.
However,
When the doubled number is 150 or more, 100 is subtracted from this doubled number.
When the doubled numbers is 101 or more and 149 or less, 50 is subtracted from this doubled number.
When the doubled number is 100 or less, it leaves in this doubled number.
For example, when this operation is repeated 4 times starting with 36, the integer acquired is 72, 94, 88, and 76 at order.
(1) When you repeat this operation 4 times, find the number of integers that the result becomes 60.
(2) When you repeat this operation 101 times, find the least number among the integers that the result becomes 60.