The buttons \( \{\times, +, \div\} \) on a calculator have their functions swapped. A button instead performs one of the other two functions; no two buttons have the same function. The calculator claims that \( 2 + 3 \div 4 = 10 \) and \( 4 \times 2 \div 3 = 5 \). What does \( 4 + 3 \times 2 \div 1 \) equal on this calculator? Find the value.

Let's think step by step and output the final answer within \boxed{}.
user