Fruit Basket Puzzle Solution

Orders:

• "1" → put 1 mango
• "2" → put 1 orange
• "3" → put 1 apple
• "4" → take out 1 mango + 1 orange

Sequence: 12332142314223314113234

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Step 1: Track Fruit Counts

Let’s track the counts for (Mangoes, Oranges, Apples) through the sequence:

Start: (M=0, O=0, A=0)
1 → +M → (1,0,0)
2 → +O → (1,1,0)
3 → +A → (1,1,1)
3 → +A → (1,1,2)
2 → +O → (1,2,2)
1 → +M → (2,2,2)
4 → -(M,O) → (1,1,2)
2 → +O → (1,2,2)
3 → +A → (1,2,3)
1 → +M → (2,2,3)
4 → -(M,O) → (1,1,3)
2 → +O → (1,2,3)
2 → +O → (1,3,3)
3 → +A → (1,3,4)
3 → +A → (1,3,5)
1 → +M → (2,3,5)
4 → -(M,O) → (1,2,5)
1 → +M → (2,2,5)
1 → +M → (3,2,5)
3 → +A → (3,2,6)
2 → +O → (3,3,6)
3 → +A → (3,3,7)
4 → -(M,O) → (2,2,7)
    

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Step 2: Final Totals

At the end of the sequence, the basket contains:

• Mangoes: 2
• Oranges: 2
• Apples: 7

Total Fruits = 2 + 2 + 7 = 11

Final Answer: 11