The total number of push operations performed on the stack is 25, and the total number of pop operations performed on the stack is 10. Therefore, the net effect of these operations on the size of the stack is:
Net effect = number of push operations - number of pop operations
Net effect = 25 - 10
Net effect = 15
The stack has also performed 12 top operations, which do not change the size of the stack. However, 3 of the pop operations generated a StackEmpty exception that was caught and ignored. These operations did not actually remove any elements from the stack, so we need to subtract them from the total number of pop operations to find the actual number of elements removed from the stack:
Actual number of pop operations = total number of pop operations - number of caught exceptions
Actual number of pop operations = 10 - 3
Actual number of pop operations = 7
Therefore, the net effect of all the operations on the size of the stack is:
Net effect = number of push operations - actual number of pop operations
Net effect = 25 - 7
Net effect = 18
Since the stack was initially empty, the current size of the stack is equal to the net effect of all the operations performed on it, which is 18. Therefore, the current size of S is 18.