Update exam/packet.tex

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2025-11-27 20:51:52 -06:00
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@@ -145,15 +145,16 @@ Output:
% ========================= Problem 6 =========================
\problem{Problem 6(.7): Sequencing}
\textit{Difficulty: Easy}
\begin{itemize}
You are given a string S composed of only the characters 6', 7, A', B', and \#' (without the quotation marks). This string is processed from left to right, and you must maintain a sequence of chracters that changes according to these rules:
You are given a string S composed of only the characters 6, 7, A, B, and \# (without the quotation marks). This string is processed from left to right, and you must maintain a sequence of chracters that changes according to these rules:
\begin{itemize}
\item 6 - add a 6 to the end of the sequence
\item 7 - if the sequence is non-empty and its last chracter is 6', remove that last 6', otherwise, add 7' to the end of the sequence
\item 7 - if the sequence's last chracter is 6, remove that last 6, otherwise, add 7 to the end of the sequence
\item A - reverse the sequence
\item B - add a duplicate of the current sequence to the end of it
\item \# - clear the sequence
\end{itemize}
\inputformat
\begin{itemize}
\item The first line consists of the string S. The string consists only of the characters 6, 7, A, B, and \#.
@@ -166,23 +167,23 @@ You are given a string S composed of only the characters 6', 7, A',
\examples
\begin{verbatim}
Input 1:
67A6
Input 1:
67A6
Output 1:
6
Output 1:
6
Input 2:
66B7
Input 2:
66B7
Output 2:
666
Output 2:
666
Input 3:
7A7#
Input 3:
7A7#
Output 3:
EMPTY
Output 3:
EMPTY
\end{verbatim}
% ========================= Problem 7 =========================
@@ -212,30 +213,30 @@ Your task is to determine if there exists any valid path from (1,1) to (N,M) obe
\examples
\begin{verbatim}
Input 1:
2 2
66
67
Input 1:
2 2
66
67
Output 1:
Sixxx sevennn
Output 1:
Sixxx sevennn
Input 2:
2 2
77
77
Input 2:
2 2
77
77
Output 2:
Six was afraid of seven after all
Output 2:
Six was afraid of seven after all
Input 3:
3 3
666
676
666
Input 3:
3 3
666
676
666
Output 3:
Sixxx sevennn
Output 3:
Sixxx sevennn
\end{verbatim}
% ========================= Problem 8 =========================
@@ -258,38 +259,38 @@ There is a staircase with N steps. Each step is labelled with a 6 or a 7. Simon
\examples
\begin{verbatim}
Input 1:
5
66766
Input 1:
5
66766
Output 1:
3
Output 1:
3
Explanation 1:
Case 1: Step 1->2->3->4->5
Case 2: Step 1->2->4->5
Case 3: Step 1->3->4->5
Explanation 1:
Case 1: Step 1->2->3->4->5
Case 2: Step 1->2->4->5
Case 3: Step 1->3->4->5
Input 2:
3
677
Input 2:
3
677
Output 2:
2
Output 2:
2
Explanation 2:
Case 1: 1->2->3
Case 2: 1->3
Explanation 2:
Case 1: 1->2->3
Case 2: 1->3
Input 3:
1
6
Input 3:
1
6
Output 3:
1
Output 3:
1
Explanation 3:
There is only one way to get to the top (which Simon is already at).
Explanation 3:
There is only one way to get to the top (which Simon is already at).
\end{verbatim}
\end{document}