Mini Parser - Complete Solution Guide
Mini Parser is LeetCode problem 385, a Medium level challenge. This complete guide provides step-by-step explanations, multiple solution approaches, and optimized code in python3, java, cpp, c.
Problem Statement
Given a string s represents the serialization of a nested list, implement a parser to deserialize it and return the deserialized NestedInteger . Each element is either an integer or a list whose elements may also be integers or other lists. Example 1: Input: s = "324" Output: 324 Explanation: You should return a NestedInteger object which contains a single integer 324. Example 2: Input: s = "[123,[456,[789]]]" Output: [123,[456,[789]]] Explanation: Return a NestedInteger object containing a nest
Detailed Explanation
The problem requires you to implement a parser that can deserialize a string representation of a nested list into a `NestedInteger` object. A `NestedInteger` can either hold a single integer or a nested list of other `NestedInteger` objects. The input string `s` will consist of digits, square brackets ('[' and ']'), commas (','), and optionally a negative sign ('-'). The goal is to build the nested list structure based on the string's format and return the root `NestedInteger`.
Solution Approach
The solution employs a stack-based approach to parse the string and build the nested list structure. It iterates through the string character by character. When it encounters an opening bracket '[', it creates a new `NestedInteger` (representing a list) and pushes it onto the stack. When it finds a comma ',' or a closing bracket ']', it checks if there's a number that has been accumulated. If there is, it creates a new `NestedInteger` with that number and adds it to the `NestedInteger` at the top of the stack (the currently open list). When it encounters a closing bracket ']', it means a list is complete. It pops the completed list from the stack and, if the stack is not empty, adds the completed list to the `NestedInteger` on top of the stack. If the input string represents a single integer (doesn't start with '['), it directly creates a `NestedInteger` with that integer value and returns it.
Step-by-Step Algorithm
- Step 1: Check if the input string starts with '['. If not, it represents a single integer; convert it to an integer and return a `NestedInteger` object holding that integer.
- Step 2: Initialize an empty stack to store `NestedInteger` objects (representing lists).
- Step 3: Initialize an empty string `current_num_str` to accumulate digits for forming integers.
- Step 4: Iterate through the input string character by character.
- Step 5: If the character is '[': Create a new `NestedInteger` (representing a list) and push it onto the stack.
- Step 6: If the character is ',': If `current_num_str` is not empty, convert it to an integer, create a `NestedInteger` with that integer, and add it to the `NestedInteger` at the top of the stack. Reset `current_num_str` to an empty string.
- Step 7: If the character is ']': If `current_num_str` is not empty, convert it to an integer, create a `NestedInteger` with that integer, and add it to the `NestedInteger` at the top of the stack. Reset `current_num_str` to an empty string. If the stack size is greater than 1, pop the `NestedInteger` from the stack (representing the closed list) and add it to the `NestedInteger` at the top of the stack.
- Step 8: If the character is a digit or '-': Append the character to `current_num_str`.
- Step 9: After iterating through the entire string, the `NestedInteger` at the bottom of the stack (the first element) represents the deserialized nested list. Return it.
Key Insights
- Insight 1: The nested structure suggests using a stack to keep track of the currently open lists and their parent lists.
- Insight 2: The algorithm needs to differentiate between integers and nested lists based on the starting character of the input string or when encountering a '[' character.
- Insight 3: Accumulating digit characters into a string before converting it to an integer is crucial for handling multi-digit numbers and negative signs.
Complexity Analysis
Time Complexity: O(n)
Space Complexity: O(d)
Topics
This problem involves: String, Stack, Depth-First Search.
Companies
Asked at: Airbnb.