Part Two
The engineers are surprised by the low number of safe reports until they realize they forgot to tell you about the Problem Dampener.
The Problem Dampener is a reactor-mounted module that lets the reactor safety systems tolerate a single bad level in what would otherwise be a safe report. It's like the bad level never happened!
Now, the same rules apply as before, except if removing a single level from an unsafe report would make it safe, the report instead counts as safe.
More of the above example's reports are now safe:
7 6 4 2 1
: Safe without removing any level.1 2 7 8 9
: Unsafe regardless of which level is removed.9 7 6 2 1
: Unsafe regardless of which level is removed.1 3 2 4 5
: Safe by removing the second level, 3.8 6 4 4 1
: Safe by removing the third level, 4.1 3 6 7 9
: Safe without removing any level. Thanks to the Problem Dampener, 4 reports are actually safe!
Update your analysis by handling situations where the Problem Dampener can remove a single level from unsafe reports. How many reports are now safe?