Skip to content

Commit fe76b7a

Browse files
committed
update align
1 parent b1d88b0 commit fe76b7a

File tree

1 file changed

+3
-5
lines changed

1 file changed

+3
-5
lines changed

src/Epp.tex

Lines changed: 3 additions & 5 deletions
Original file line numberDiff line numberDiff line change
@@ -21301,14 +21301,12 @@ \subsubsection{Exercise 24}
2130121301
$\#2, \#4, \ldots,\#(2m)$ leaving person \#$(2m+1)$ next in line.
2130221302

2130321303
We also know that:
21304-
\[
21305-
\begin{align}
21306-
2^n + m &< 2^{n+1} \\
21304+
\begin{align*}
21305+
2^n+m &< 2^{n+1} \\
2130721306
m &< 2^n \\
2130821307
m+1 &\le 2^n \\
2130921308
2m+1 &\le 2^n+m
21310-
\end{align}
21311-
\]
21309+
\end{align*}
2131221310

2131321311
In other words, since $2m+1 \in [1,r]$, the elimination never loops
2131421312
through the circle more than once; it terminates within the first

0 commit comments

Comments
 (0)