(LeetCode) 13. Roman to Integer

13. Roman to Integer

  • Explore : Interview > Top Interveiw Questions > Easy Collection
  • 분류 : Math
  • 난이도 : Easy

Problem

Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.

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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 one’s added together. 12 is written as XII, which is simply X + II. The number 27 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.

Example 1

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Input: s = "III"
Output: 3

Example 2

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Input: s = "IV"
Output: 4

Example 3

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Input: s = "IX"
Output: 9

Example 4

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Input: s = "LVIII"
Output: 58
Explanation: L = 50, V= 5, III = 3.

Example 5

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Input: s = "MCMXCIV"
Output: 1994
Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.

Constraints

  • 1 <= s.length <= 15
  • s contains only the characters ('I', 'V', 'X', 'L', 'C', 'D', 'M').
  • It is guaranteed that s is a valid roman numeral in the range [1, 3999].

Solution

Exapnder
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class Solution {
fun romanToInt(s: String): Int {
var result = 0
var prev = convert('M')
s.forEachIndexed { i, _ ->
val value = convert(s[i])
if (value > prev) {
result -= prev * 2
}
result += value
prev = value
}
return result
}

fun convert(c: Char) : Int = when (c) {
'I' -> 1
'V' -> 5
'X' -> 10
'L' -> 50
'C' -> 100
'D' -> 500
else -> 1000 // M
}
}

Point of Thinking

  • 현재 인덱스의 값과 다음 인덱스의 값을 비교해나가면 된다.
  • 다음 인덱스의 값이 작으면 더하고, 크면 빼주는 식으로 처리.
  • 범위가 [1, 3999] 이므로 초기값을 M에 해당하는 1000으로 잡아주면 된다.