Maximum Width of Binary Tree | Leetcode 662 (Java Solution Explained)

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Maximum Width of Binary Tree is defined as the max distance between the left most node and the right most not null node of a tree at each level.

problem statement:

can be asked in coding round of amazon coding interview, google coding round, facebook and microsoft tech interview

Given a binary tree, write a function to get the maximum width of the given tree. The maximum width of a tree is the maximum width among all levels.

The width of one level is defined as the length between the end-nodes (the leftmost and right most non-null nodes in the level, where the null nodes between the end-nodes are also counted into the length calculation.

It is guaranteed that the answer will in the range of 32-bit signed integer.

Example 1:

Input:

1
/ \
3 2
/ \ \
5 3 9

Output: 4
Explanation: The maximum width existing in the third level with the length 4 (5,3,null,9).
Example 2:

Input:

1
/
3
/ \
5 3

Output: 2
Explanation: The maximum width existing in the third level with the length 2 (5,3).
Example 3:

Input:

1
/ \
3 2
/
5

Output: 2
Explanation: The maximum width existing in the second level with the length 2 (3,2).
Example 4:

Input:

1
/ \
3 2
/ \
5 9
/ \
6 7
Output: 8
Explanation:The maximum width existing in the fourth level with the length 8 (6,null,null,null,null,null,null,7).

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