Is Maximum Nesting Depth of the Parentheses easy or hard?

Maximum Nesting Depth of the Parentheses is classified as an Easy problem on LeetCode. It mainly tests basic string traversal and understanding of parentheses depth tracking using a counter or stack.

Maximum Nesting Depth of the Parentheses Python/Java solution

Python and Java solutions typically iterate through the string and update a counter for '(' and ')'. The algorithm maintains a running maximum depth and finishes in O(n) time with O(1) additional space.

How to solve Maximum Nesting Depth of the Parentheses in O(n)?

Traverse the string and maintain a counter representing the current number of open parentheses. Increase it when encountering '(' and decrease it when encountering ')'. Track the maximum value reached during traversal, which represents the deepest nesting level.

What is the best approach for Maximum Nesting Depth of the Parentheses?

The best approach uses a simple counter while scanning the string once. Increment the counter for '(' and decrement for ')', while tracking the maximum value reached. This runs in O(n) time and O(1) space and avoids the overhead of a stack.

Is Maximum Nesting Depth of the Parentheses asked at Google/Amazon/Meta?

Maximum Nesting Depth of the Parentheses appears in interview preparation sets and coding practice lists used by companies like Amazon, Google, and Meta. It tests basic string processing and understanding of stack-based parentheses problems.

What data structure is used in Maximum Nesting Depth of the Parentheses?

A stack can be used to track open parentheses and measure nesting depth. However, the optimal solution replaces the stack with a simple integer counter because only the depth value is needed.

What is the time complexity of Maximum Nesting Depth of the Parentheses?

The optimal solution runs in O(n) time because the string is processed once from left to right. Each character is inspected exactly once, and updates to the depth counter or stack occur in constant time.

Description Hints 1 Solution Video 4:08

1614. Maximum Nesting Depth of the Parentheses

Easy86.1% acceptance7 companies

Given a valid parentheses string s, return the nesting depth of s. The nesting depth is the maximum number of nested parentheses.

Example 1:

Input: s = "(1+(2*3)+((8)/4))+1"

Output: 3

Explanation:

Digit 8 is inside of 3 nested parentheses in the string.

Example 2:

Input: s = "(1)+((2))+(((3)))"

Output: 3

Explanation:

Digit 3 is inside of 3 nested parentheses in the string.

Example 3:

Input: s = "()(())((()()))"

Output: 3

Constraints:

1 <= s.length <= 100
s consists of digits 0-9 and characters '+', '-', '*', '/', '(', and ')'.
It is guaranteed that parentheses expression s is a VPS.