Tree TraversalTree Traversal

Traversal AlgorithmsTraversal Algorithms

• preorder• inorder• postorder

PreOrder TraversalPreOrder Traversal

Inorder TraversalInorder Traversal

Postorder TraversalPostorder Traversal

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output:

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a

for each of {b, c, d}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a

for each of {b, c, d}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b

for each of {e, f}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b

for each of {e, f}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e

for each of {j, k}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e

for each of {j, k}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j

for each of {}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j

for each of {j, k}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k

for each of {n, o, p}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k

for each of {n, o, p}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n

for each of {}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n

for each of {n, o, p}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o

for each of {}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o

for each of {n, o, p}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p

for each of {}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p

for each of {n, o, p}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p

for each of {j, k}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p

for each of {e, f}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p f

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p f

for each of {}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p f

for each of {e, f}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p f

for each of {b, c, d}

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

In which order does a preorder traversal visit the vertices in this ordered rooted tree?

procedure preorder(T: ordered rooted tree)r := root of Tlist rfor each child c of r from left to rightbegin T(c) := subtree with c as its root preorder(T(c))end

output: a b e j k n o p f c d g l m h i

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output:

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output:

callstack

r = a, l = ?s = {}

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output:

r = a, l = bs = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output:

r = a, l = bs = {}

r = b, l = ?s = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output:

r = a, l = bs = {}

r = b, l = es = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output:

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = ?s = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {}

r = j, l = ?s = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e

r = a, l = bs = {}

r = b, l = es = {}

r =e, l = js = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ?s = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {}

callstack

r = n, l = ?s = {}

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {o,p}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {o,p}

callstack

r = o, l = ?s = {}

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {o,p}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {o,p}

callstack

r = k, l = ?s = {}

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

r = k, l = ns = {o,p}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p

r = a, l = bs = {}

r = b, l = es = {}

r = e, l = js = {k}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b

r = a, l = bs = {}

r = b, l = es = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b

r = a, l = bs = {}

r = b, l = es = {f}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b f

r = a, l = bs = {}

r = b, l = es = {f}

r = f, l = es = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b f

r = a, l = bs = {}

r = b, l = es = {f}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b f

r = a, l = bs = {}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b f

r = a, l = bs = {c,d}

callstack

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

In which order does a inorder traversal visit the vertices in this ordered rooted tree?

procedure inorder(T: ordered rooted tree)r := root of Tif r is a leaf then list relsebegin l:= first child of r from left to right T(l) := subtree with l as its root inorder(T(l)) list r for each child c of r except for l left to right T(c) := subtree with c as its root preorder(T(c))end

output: j e n k o p b f a c l g m d h i

In which order does a postorder traversal visit the vertices in this ordered rooted tree?

In which order does a postorder traversal visit the vertices in this ordered rooted tree?

Infix, Prefix, and Postfix NotationInfix, Prefix, and Postfix Notation

represent complicated expressions using an ordered rooted tree (typically binary)

Algebraic expressions•preorder – Polish notation•inorder – infix notation•postorder – reverse Polish notation

Express in:a. Polishb. infixc. reverse Polish

Evaluating a prefix

expression

Evaluate postfix expression 7 2 3 * - 4 ^ 9 e / +

How do you do trees in Java?How do you do trees in Java?