January 14, 2017
Introduction
What is the feeling about sitting on the bench while the match is going on? That is something Julia went through in the contest. She tried to do some reach, make 10 - 15 points if possible. One of practice here is to study player's discussion board, and see how top-players are doing when they need to communicate and have some discussion. It is not bad at all to see all over the world, people came together and exchange ideas for the same algorithm.
In the contest
Hard algorithm, maximum score 54
The discussion here is very helpful, at least it is
helpful to understand the problem. Work on the example first.
Julia spent 10
minutes to work on the example here:
WBWBW
Analysis with
a fault:
The analysis with
some issues:
step 1: 1, 3, 5
are white and 2, 4 black -> 3/5
step 2: 3 possible
new sequence
BWBW -> 1 WBWB
-> 1 WBBW -> 2/4 -> 1/3 * (1 + 1 + 2/4) = 5/6
total = 3/5 +
5/6 = 1.4333333
Analysis with
corrections:
You
do not choose xi, they are chosen randomly. You only choose either left or
right for given xi. Therefore in step 1, if xi was 2 or 4, you end up with sequences
WWBW or WBWW in step 2, you need to count these in your expectation.
Then you get 3/5 + 1/5 ( 1 + 1 + 2/4 + 1 + 1) = 1.5
Hours of reading - Discussion
BWBWW
Set
up a test case for BWBWW - the answer should be
Discussion is here.
BWBBBW
January 14, 2017
The discussion here is very helpful, at least it is
helpful to understand the problem. Work on the example first.
Julia spent 10
minutes to work on the example here:
WBWBW
Analysis with
a fault:
The analysis with
some issues:
step 1: 1, 3, 5
are white and 2, 4 black -> 3/5
step 2: 3 possible
new sequence
BWBW -> 1 WBWB
-> 1 WBBW -> 2/4 -> 1/3 * (1 + 1 + 2/4) = 5/6
total = 3/5 +
5/6 = 1.4333333
Analysis with
corrections:
You
do not choose xi, they are chosen randomly. You only choose either left or
right for given xi. Therefore in step 1, if xi was 2 or 4, you end up with sequences
WWBW or WBWW in step 2, you need to count these in your expectation.
Then you get 3/5 + 1/5 ( 1 + 1 + 2/4 + 1 + 1) = 1.5
Hours of reading - Discussion
BWBWW
Set
up a test case for BWBWW - the answer should be
Discussion is here.
BWBBBW
Discussion is here.
Summary of Contest Activities
In the contest, spent hours to read the problem statement, discussion, did some research. No code, did not make any points.