bronze_FEB (USACO US_Open_Contest)
Time limit: 2 seconds | Memory limit: 256 MB | Task type: batch
Algorithms: ad-hoc, greedy, constructive

Bessie and Elsie are plotting to overthrow Farmer John at last! They plan it out
over $N$ ($1\le N\le 2\cdot 10^5$) text messages. Their conversation can be
represented by a string $S$ of length $N$ where $S_i$ is either $B$ or $E$,
meaning the $i$th message was sent by Bessie or Elsie, respectively.
However, Farmer John hears of the plan and attempts to intercept their
conversation. Thus, some letters of $S$ are $F$, meaning Farmer John obfuscated
the message and the sender is unknown.
The
excitement level
of a non-obfuscated conversation is the number of
times a cow double-sends - that is, the number of occurrences of substring $BB$
or $EE$ in $S$. You want to find the excitement level of the original message,
but you don’t know which of Farmer John’s messages were actually Bessie’s
/ Elsie’s. Over all possibilities, output all possible excitement levels of
$S$.
INPUT FORMAT (input arrives from the terminal / stdin):
The first line will consist of one integer $N$.
The next line contains $S$.
OUTPUT FORMAT (print output to the terminal / stdout):
First output $K$, the number of distinct excitement levels possible. On the next
$K$ lines, output the excitement levels, in increasing order.
SAMPLE INPUT:
4
BEEF
SAMPLE OUTPUT:
2
1
2
SAMPLE INPUT:
9
FEBFEBFEB
SAMPLE OUTPUT:
2
2
3
SAMPLE INPUT:
10
BFFFFFEBFE
SAMPLE OUTPUT:
3
2
4
6
SCORING:
Inputs 4-8: $N\le 10$
Inputs 9-20: No additional
constraints.
Problem credits: William Yue and Claire Zhang

Starter code:

Grader code:

Setup script:

Evaluation script: