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solutions/gold/coci-16-burza.mdx
@@ -38,8 +38,8 @@ unfortunately is still too large for an exponential time solution. But it is
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### Further Analysis
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-To limit the maximum number of steps to 20, we have to prove that a game can *always*
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-end in $k$ moves if $k^2 \geq n$.
+To limit the maximum number of steps to a point where bitwise DP is feasible,
+we have to prove that a game can *always* end in $k$ moves if $k^2 \geq n$.
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Since each move results in breaking a tree down into a bunch of smaller trees,
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we can do a [proof by induction](https://en.wikipedia.org/wiki/Mathematical_induction).
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