Roman to Integer — LeetCode 13 Python Solution

EasyHash TableMathString
Problem
#13
Reading time
2 min

The problem

Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M. Symbol Value I 1 V 5 X 10 L 50 C 100 D 500 M 1000 For example, 2 is written as II in Roman numeral, just two ones added together.

Example

Symbol       Value
I             1
V             5
X             10
L             50
C             100
D             500
M             1000

Python solution

Python
class Solution:
    def romanToInt(self, s: str) -> int:
        d = {'I': 1, 'V': 5, 'X': 10, 'L': 50, 'C': 100, 'D': 500, 'M': 1000}
        return sum((-1 if d[a] < d[b] else 1) * d[a] for a, b in pairwise(s)) + d[s[-1]]

Complexity

MeasureComplexity
TimeO(n)
SpaceO(m) auxiliary

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 13. Roman to Integer is filed here because LeetCode tags it Math, which is the vocabulary this hub collects.

The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.

Related problems

On a study list

This problem is on Top Interview 150.

Frequently asked questions

How hard is LeetCode 13. Roman to Integer?
LeetCode 13. Roman to Integer is rated Easy on LeetCode.
What is the time complexity of LeetCode 13. Roman to Integer?
The Python solution on this page runs in O(n).
What is the space complexity of LeetCode 13. Roman to Integer?
The Python solution on this page uses O(m) auxiliary space.
What topics does LeetCode 13. Roman to Integer cover?
LeetCode 13. Roman to Integer is tagged Hash Table, Math and String on LeetCode.

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