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13_Roman_to_Integer.py
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"""
13. Roman to Integer
Easy
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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, two is written as II in Roman numeral, just two one's added together. Twelve is written as, XII, which is simply X + II. The number twenty seven is written as XXVII, which is XX + V + II.
Roman numerals are usually written largest to smallest from left to right. However, the numeral for four is not IIII. Instead, the number four is written as IV. Because the one is before the five we subtract it making four. The same principle applies to the number nine, which is written as IX. There are six instances where subtraction is used:
I can be placed before V (5) and X (10) to make 4 and 9.
X can be placed before L (50) and C (100) to make 40 and 90.
C can be placed before D (500) and M (1000) to make 400 and 900.
Given a roman numeral, convert it to an integer. Input is guaranteed to be within the range from 1 to 3999.
Example 1:
Input: "III"
Output: 3
Example 2:
Input: "IV"
Output: 4
Example 3:
Input: "IX"
Output: 9
Example 4:
Input: "LVIII"
Output: 58
Explanation: L = 50, V= 5, III = 3.
Example 5:
Input: "MCMXCIV"
Output: 1994
Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.
Accepted
364,955
Submissions
708,110
"""
class Solution:
def romanToInt(self, s: str) -> int:
#use dictionary, so don't need to write every ifelse for every symbol
numeral_map = {"I": 1, "V": 5, "X": 10, "L":50, "C":100, "D":500, "M":1000}
result = 0
for i in range(len(s)):
#is the current symbol bigger than the previous one?
#if yes, current - previous
#if not, current +
if i > 0 and numeral_map[s[i]] > numeral_map[s[i-1]]:
result += numeral_map[s[i]] - 2 * numeral_map[s[i-1]]
# *2 because we have to minus the previous added one
# without *2 will be:
#result = M -> M+C -> M+C+M-C = 2M which is not correct
else:
result += numeral_map[s[i]]
return result
"""
Success
Details
Runtime: 132 ms, faster than 64.37% of Python3 online submissions for Roman to Integer.
Memory Usage: 13.4 MB, less than 5.05% of Python3 online submissions for Roman to Integer.
"""