Assume that the operators $$ +, -, \times $$ are left associative and ^ is right associative. The order of precedence (from highest to lowest) is ^, $$ \times , +, -.$$ The postfix expression corresponding to the infix expression $$ a + b \times c - d$$ ^ e ^ f is

A

$$ abc \times + def$$^ ^ -

B

$$ abc \times + de$$ ^ f ^

C

$$ ab + c \times d - e$$ ^ f ^

D

$$ - + a \times bc$$ ^ ^ def