Merge pull request #3473 from cpinitiative/backandforth

hints for back and forth, bronze

Author: SansPapyrus683

solutions/bronze/usaco-857.mdx

@@ -5,7 +5,7 @@ title: Back and Forth
 author: Benjamin Qi, Ryan Chou, Jonathan Paulson
 ---
 
-[Official Analysis](http://www.usaco.org/current/data/sol_backforth_bronze_dec18.html)
+[Official Analysis (C++)](http://www.usaco.org/current/data/sol_backforth_bronze_dec18.html)
 
 ## Video Solution
 By Jonathan Paulson
@@ -185,6 +185,27 @@ with open('backforth.out', 'w') as fout:
 </LanguageSection>
 </Spoiler>
 
+
+<Spoiler title="Hint 1">
+
+What information do we need when Farmer John arrives at a barn?
+</Spoiler>
+
+<Spoiler title="Hint 1 (answer)">
+
+We have to know the day, buckets that are available at each barn, and the current tank amounts.
+
+</Spoiler>
+
+
+<Spoiler title="Hint 2">
+
+At every point, we could choose any bucket to move. Could we write general logic to handle all of these possible states?
+	
+</Spoiler>
+
+<Spoiler title="Solution">
+
 ## Solution
 
 Similar to the second solution from the analysis.
@@ -341,3 +362,4 @@ print(len(possible))
 ```
 </PySection>
 </LanguageSection>
+</Spoiler>