Little Sugar (Trees : relations)

A complete binary tree has odd number of nodes .

Number of leaves + number of internal nodes ( both even) +
1 = number of nodes in a tree

The number of internal nodes + 1 = number of leaves

number of internal nodes = number of leaves - 1

n = number of nodes

n = number of leaves + number of internal nodes

n +1 = 2 * number of leaves

number of leaves = (n+1)/2

The number of total nodes upto height h :

= pow(2,h+1) - 1

The number of nodes for any binary tree at height (h) :

= ceil(n / pow(2,h+1))