Numbers Contest NUM1

This is my first numbers contest, NUM1

Reply ONLY by e-mail to momo@physics.ucsb.edu.
Do NOT post answers to any newsgroup.
Entries must reach here by 11:59 P.M., Tuesday, May 29th
	(by Los Angeles time, zone -7).

This is actually five COMPLETELY SEPARATE contests. You may choose to 
skip some of the contests. However, please send your submissions for all the 
contests that you choose to enter in a single e-mail -- do not send your 
entries for separate contests in separate e-mails.

Multiple entries are not allowed. Please do not post any discussion
of the questions to any newsgroup while the contest is in progress,
or collaborate with the other contestants in your entries.

Here are the rules for determining the first place winners. Rules
for determining the second and third place winners for each contest
are described at the end.

A: Submit a positive integer.
   The first place winner will be the person who submits the smallest
   positive integer that no one else submits. In the event that no
   submitted number is unique (i.e. every person's entry is duplicated
   by at least one other person), the first place position will be
   declared vacant. 

B: Submit three positive integers.
   This is the same as contest A, except that you are allowed to submit
   three integers (in a single e-mail, please), and the three numbers that 
   you submit will be treated as if they came from separate individuals who 
   happen to have the same name.

C: Submit an integer (positive or negative).
   The first place winner will be the person who submits the smallest 
   unique integer which is greater than or equal to the median of all
   integers submitted. In other words, if a single person submits the 
   median integer, he or she will win. But if multiple people submit the 
   median integer (or no one submits it), the winner will be the next highest 
   unique entry. In the event that there is no unique integer greater than 
   or equal to the median, the first place position will be declared vacant.

D: Pick a positive integer.
   The first place winners will be those who pick the second smallest
   integer of those in the contest. Here ties are possible. For example,
   if there are 10 contestants, and 2 pick u, 3 pick v, 4 pick w, and 1
   picks x, where x>w>v>u, then the three people who picked v will tie for 
   first place (u, v, w, and x, are, of course, positive integers). 
   If everyone picks the same integer, the first place position will be 
   declared vacant. Note that while you may pick 1, it is impossible 
   for 1 to win.

E: Pick an integer
   This is similar to contest D, but here the first place winners will be
   those who pick the second largest integer of those in the contest.

For each of the contests, the second place winners will be those 
contestants who did not win first place, but could have won if a single
entered integer were removed. Similarly, the third place winners are those
who could have won if two entered integers were removed. There are no fourth 
place winners. Note that in each of the five contests, it is possible to have 
ties for second and third place, and it is also possible for the second and 
third place positions to be vacant. It is also possible in some contests for 
the first place position to be vacant, and the second place position to be 
filled.  In contest B, because all three entered numbers are treated 
separately, it is possible for a single person to win more than one position.

ALL INTEGERS SHOULD BE WRITTEN AS A SEQUENCE OF SIMPLE BASE TEN DIGITS.
There should be no algebraic manipulations, exponentials, or mathematical
definitions. Also, if a number is greater than 10^9, you should make
a note telling me how many digits are in it. Entries which do not satisfy 
these conditions, or which do not fall into the ranges specified in each 
contest, will be discarded.

For my convenience please do not quote this message when reponding.
You message should contain five integers, labeled A to E, and your
name. Additional comments, explanatory notes, explanations of strategy,
and suggestions for questions for future contests are all welcome, but
please place them after your five answers, and make sure that they are
clearly marked so as not to be confused with your answers. Your e-mail
address will be posted in the results if I don't see both a first and
a last name, or an explicit request for a particular form of your name
to be used.

If you have questions about the rules, please e-mail me rather than
posting questions to the newsgroup. Have fun!

Momo Jeng
momo@physics.ucsb.edu