Basic Calculator — LeetCode 224 Python Solution

HardStackRecursionMathString
Problem
#224
Pattern
Stack
Reading time
5 min

The problem

Given a string s representing a valid expression, implement a basic calculator to evaluate it, and return the result of the evaluation. Note: You are not allowed to use any built-in function which evaluates strings as mathematical expressions, such as eval().

Example

Input
s = "1 + 1"
Output
2

Python solution

Python
class Solution:
    def calculate(self, s: str) -> int:
        stk = []
        ans, sign = 0, 1
        i, n = 0, len(s)
        while i < n:
            if s[i].isdigit():
                x = 0
                j = i
                while j < n and s[j].isdigit():
                    x = x * 10 + int(s[j])
                    j += 1
                ans += sign * x
                i = j - 1
            elif s[i] == "+":
                sign = 1
            elif s[i] == "-":
                sign = -1
            elif s[i] == "(":
                stk.append(ans)
                stk.append(sign)
                ans, sign = 0, 1
            elif s[i] == ")":
                ans = stk.pop() * ans + stk.pop()
            i += 1
        return ans

Complexity

MeasureComplexity
TimeO(n)
SpaceO(n), where n is the length of the string s auxiliary

Pattern: Stack

When the most recent unresolved thing is the one that matters, use a stack. LeetCode 224. Basic Calculator is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Stack.

The stack guide has the Python template for the pattern and the 194 LeetCode problems that use it.

Related problems

On study lists

This problem is on Grind 75 and Top Interview 150.

Frequently asked questions

How hard is LeetCode 224. Basic Calculator?
LeetCode 224. Basic Calculator is rated Hard on LeetCode.
What is the time complexity of LeetCode 224. Basic Calculator?
The Python solution on this page runs in O(n).
What is the space complexity of LeetCode 224. Basic Calculator?
The Python solution on this page uses O(n), where n is the length of the string s auxiliary space.
What topics does LeetCode 224. Basic Calculator cover?
LeetCode 224. Basic Calculator is tagged Stack, Recursion, Math and String on LeetCode.

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