Add contradiction detection

Implement logic to detect contradictory answers in the computer's question-answering mode. If contradictions are found, the game will abort and prompt the user to restart.

src/components/GuessingGame.tsx

@@ -18,7 +18,7 @@ interface GuessingGameProps {
 type GameMode = 'user-guesses' | 'computer-asks';
 type UserGuessingMode = 'standard' | 'questions';
 type ComputerStrategy = 'random' | 'linear' | 'binary';
-type GameState = 'setup' | 'playing' | 'won' | 'lost';
+type GameState = 'setup' | 'playing' | 'won' | 'contradiction';
 
 interface Question {
   text: string;
@@ -240,7 +240,8 @@ const GuessingGame: React.FC<GuessingGameProps> = ({ showSocialShare = true }) =
     if (!currentQuestion) return;
 
     const questionText = `${currentQuestion.text} → ${answer ? 'Yes' : 'No'}`;
-    setQuestionsAsked([...questionsAsked, questionText]);
+    const newQuestionsAsked = [...questionsAsked, questionText];
+    setQuestionsAsked(newQuestionsAsked);
     setUserScore(userScore + 1);
 
     let newPossibleNumbers = [...possibleNumbers];
@@ -278,6 +279,12 @@ const GuessingGame: React.FC<GuessingGameProps> = ({ showSocialShare = true }) =
       }
     }
 
+    // Check for contradictions - if no numbers remain, the answers are contradictory
+    if (newPossibleNumbers.length === 0) {
+      setGameState('contradiction');
+      return;
+    }
+
     setPossibleNumbers(newPossibleNumbers);
   };
 
@@ -555,6 +562,39 @@ const GuessingGame: React.FC<GuessingGameProps> = ({ showSocialShare = true }) =
             </div>
           )}
 
+          {gameState === 'contradiction' && (
+            <div className="text-center space-y-4">
+              <div className="space-y-2">
+                <XCircle className="w-16 h-16 text-destructive mx-auto" />
+                <h3 className="text-2xl font-bold text-destructive">Contradiction Detected!</h3>
+                <p className="text-lg">
+                  Your answers are contradictory - no number can satisfy all the conditions you've given.
+                </p>
+                <div className="text-sm text-muted-foreground space-y-1">
+                  <p>Please check your answers in the question history below.</p>
+                  <p>You may have accidentally given incorrect responses.</p>
+                </div>
+              </div>
+
+              {questionsAsked.length > 0 && (
+                <div className="space-y-2 text-left">
+                  <h4 className="font-semibold text-center">Your Answer History:</h4>
+                  <div className="space-y-1 max-h-40 overflow-y-auto border rounded-lg p-3 bg-muted/30">
+                    {questionsAsked.map((question, index) => (
+                      <div key={index} className="text-sm p-2 bg-card rounded border">
+                        {question}
+                      </div>
+                    ))}
+                  </div>
+                </div>
+              )}
+
+              <Button onClick={resetGame} size="lg" className="w-full">
+                Start Over
+              </Button>
+            </div>
+          )}
+
           {gameState === 'won' && (
             <div className="text-center space-y-4">
               <div className="space-y-2">