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Leetcode Problem 770. Basic Calculator IV

770. Basic Calculator IV

Leetcode Solutions

Expression Parsing and Evaluation with Abstract Syntax Tree

  1. Parse the expression into an abstract syntax tree (AST).
  2. Perform a depth-first traversal of the AST.
  3. During traversal, evaluate each node:
    • If it's an integer, return its value.
    • If it's a variable, return its value from the evaluation map or the variable itself if not in the map.
    • If it's an operation, recursively evaluate the left and right subtrees and combine the results according to the operation.
  4. After evaluating the AST, you will have a list of terms with coefficients and variables.
  5. Sort the terms by degree and lexicographic order.
  6. Format the terms into strings, ensuring that coefficients are placed correctly.
  7. Return the formatted list of terms as the final result.
UML Thumbnail

Tokenization and Recursive Descent Parsing

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