1. Advanced Data Structure using C++

LECTURE NOTES OF ADVANCED DATA STRUCTURE (MT-CSE 110)
A * B + C / D A B * C D / + + * A B / C D
A * (B + C) / D A B C + * D / / * A + B C D
A * (B + C / D) A B C D / + * * A + B / C D
Reverse Polish notation or postfix notation :
multiply
A and B,
divide C
by D,
add the
results
add B
and C,
multiply
by A,
divide
by D
divide C
by D,
add B,
multiply
by A
A unary operator for which the Reverse Polish notation is the general
convention is the factorial. In Reverse Polish notation the operators follow their
operands; for instance, to add three and four, one would write "3 4 +" rather
than "3 + 4". If there are multiple operations, the operator is given immediately
after its second operand; so the expression written "3 − 4 + 5" in conventional
infix notation would be written "3 4 − 5 +" in RPN: first subtract 4 from 3, then
add 5 to that. An advantage of RPN is that it obviates the need for parentheses
that are required by infix. While "3 − 4 * 5" can also be written "3 − (4 * 5)", that
means something quite different from "(3 − 4) * 5". In postfix, the former would
Prepared By :­
Er. Harvinder Singh
Assist Prof., CSE, H.C.T.M (Kaithal) Page ‐ 171 ‐