Consider the player ๐ > ๐ฟ. At most, ๐ฟ players fall to their death. This happens only if, as above, all of the first ๐ฟ players choose to hop onto a weak glass panel in their first hop onto an unvisited column. This outcome would reveal the path for safe traversal over the bridge for the remaining ๐ โ ๐ฟ players behind them. Therefore, player ๐ is guaranteed to survive and ๐(๐น๐) = ๐ข for ๐ > ๐ฟ.

Sophie Maclean is a recent maths graduate from the University of Cambridge and very much misses her degree. She has no free timeโshe is a Chalkdust editor.
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