doc: Add part 2 docs

Author: obalunenko

internal/puzzles/solutions/2024/day02/spec.md

@@ -49,5 +49,25 @@ Analyze the unusual data from the engineers. How many reports are safe?
 
 ##  --- Part Two  ---
 
-<!--- Pass here the description for 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?