From 808caabb63c611dad463870e4ef15f77b5ab5831 Mon Sep 17 00:00:00 2001
From: "gpt-engineer-app[bot]"
 <159125892+gpt-engineer-app[bot]@users.noreply.github.com>
Date: Wed, 21 Jan 2026 15:59:10 +0000
Subject: [PATCH] Changes

---
 src/components/LadybugClockPuzzle.tsx | 49 ++++++++++++++-------------
 1 file changed, 25 insertions(+), 24 deletions(-)

diff --git a/src/components/LadybugClockPuzzle.tsx b/src/components/LadybugClockPuzzle.tsx
index d279510..4c6de70 100644
--- a/src/components/LadybugClockPuzzle.tsx
+++ b/src/components/LadybugClockPuzzle.tsx
@@ -259,15 +259,6 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
         <p className="text-muted-foreground max-w-2xl mx-auto">
           A ladybug walks randomly on a clock face. What's the probability each number is painted last?
         </p>
-        {showSocialShare && (
-          <div className="flex justify-center">
-            <SocialShare 
-              title="Ladybug Clock Puzzle" 
-              description="Explore random walks on a clock face!" 
-              url={shareUrl}
-            />
-          </div>
-        )}
       </div>
 
       <div className="grid lg:grid-cols-2 gap-6">
@@ -665,23 +656,33 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
               <li><strong>Gambler's Ruin:</strong> Related to the classic probability problem of a gambler with a finite amount</li>
             </ul>
           </div>
-          
-          <div className="flex flex-wrap gap-2 pt-2 border-t">
-            <Badge variant="outline" className="text-xs">
-              <ExternalLink className="w-3 h-3 mr-1" />
-              <a href="https://momath.org/mindbenders/" target="_blank" rel="noopener noreferrer" className="hover:underline">
-                Mindbenders (MoMath)
-              </a>
-            </Badge>
-            <Badge variant="outline" className="text-xs">
-              <ExternalLink className="w-3 h-3 mr-1" />
-              <a href="https://www.youtube.com/shorts/t3jZ2xGOvYg" target="_blank" rel="noopener noreferrer" className="hover:underline">
-                YouTube Short
-              </a>
-            </Badge>
-          </div>
         </CardContent>
       </Card>
+
+      {/* Acknowledgement */}
+      <Card className="bg-amber-50 dark:bg-amber-950/30 border-amber-200 dark:border-amber-800">
+        <CardContent className="pt-6">
+          <p className="text-sm text-muted-foreground">
+            This puzzle is featured by{' '}
+            <a href="https://momath.org/mindbenders/" target="_blank" rel="noopener noreferrer" className="text-primary hover:underline font-medium">
+              MoMath Mindbenders
+            </a>
+            {' '}and demonstrated in{' '}
+            <a href="https://www.youtube.com/shorts/t3jZ2xGOvYg" target="_blank" rel="noopener noreferrer" className="text-primary hover:underline font-medium">
+              this YouTube short
+            </a>
+            . It illustrates a beautiful result about random walks on cycle graphs: every position (except the start) has equal probability of being visited last.
+          </p>
+        </CardContent>
+      </Card>
+
+      {showSocialShare && (
+        <SocialShare 
+          title="The Ladybug Clock Puzzle" 
+          description="Explore random walks on a clock face and discover why every number has the same probability of being painted last!" 
+          url={shareUrl}
+        />
+      )}
     </div>
   );
 };