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| 1 | +# [13. Roman to Integer](https://leetcode.com/problems/roman-to-integer/) |
| 2 | + |
| 3 | + |
| 4 | +## 题目 |
| 5 | + |
| 6 | +Roman numerals are represented by seven different symbols: `I`, `V`, `X`, `L`, `C`, `D` and `M`. |
| 7 | + |
| 8 | +``` |
| 9 | +Symbol Value |
| 10 | +I 1 |
| 11 | +V 5 |
| 12 | +X 10 |
| 13 | +L 50 |
| 14 | +C 100 |
| 15 | +D 500 |
| 16 | +M 1000 |
| 17 | +``` |
| 18 | + |
| 19 | +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`. |
| 20 | + |
| 21 | +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: |
| 22 | + |
| 23 | +- `I` can be placed before `V` (5) and `X` (10) to make 4 and 9. |
| 24 | +- `X` can be placed before `L` (50) and `C` (100) to make 40 and 90. |
| 25 | +- `C` can be placed before `D` (500) and `M` (1000) to make 400 and 900. |
| 26 | + |
| 27 | +Given a roman numeral, convert it to an integer. Input is guaranteed to be within the range from 1 to 3999. |
| 28 | + |
| 29 | +**Example 1**: |
| 30 | + |
| 31 | +``` |
| 32 | +Input: "III" |
| 33 | +Output: 3 |
| 34 | +``` |
| 35 | + |
| 36 | +**Example 2**: |
| 37 | + |
| 38 | +``` |
| 39 | +Input: "IV" |
| 40 | +Output: 4 |
| 41 | +``` |
| 42 | + |
| 43 | +**Example 3**: |
| 44 | + |
| 45 | +``` |
| 46 | +Input: "IX" |
| 47 | +Output: 9 |
| 48 | +``` |
| 49 | + |
| 50 | +**Example 4**: |
| 51 | + |
| 52 | +``` |
| 53 | +Input: "LVIII" |
| 54 | +Output: 58 |
| 55 | +Explanation: L = 50, V= 5, III = 3. |
| 56 | +``` |
| 57 | + |
| 58 | +**Example 5**: |
| 59 | + |
| 60 | +``` |
| 61 | +Input: "MCMXCIV" |
| 62 | +Output: 1994 |
| 63 | +Explanation: M = 1000, CM = 900, XC = 90 and IV = 4. |
| 64 | +``` |
| 65 | + |
| 66 | +## 题目大意 |
| 67 | + |
| 68 | +罗马数字包含以下七种字符: I, V, X, L,C,D 和 M。 |
| 69 | + |
| 70 | +```go |
| 71 | + |
| 72 | +字符 数值 |
| 73 | +I 1 |
| 74 | +V 5 |
| 75 | +X 10 |
| 76 | +L 50 |
| 77 | +C 100 |
| 78 | +D 500 |
| 79 | +M 1000 |
| 80 | + |
| 81 | +``` |
| 82 | + |
| 83 | +例如, 罗马数字 2 写做 II ,即为两个并列的 1。12 写做 XII ,即为 X + II 。 27 写做 XXVII, 即为 XX + V + II 。 |
| 84 | + |
| 85 | +通常情况下,罗马数字中小的数字在大的数字的右边。但也存在特例,例如 4 不写做 IIII,而是 IV。数字 1 在数字 5 的左边,所表示的数等于大数 5 减小数 1 得到的数值 4 。同样地,数字 9 表示为 IX。这个特殊的规则只适用于以下六种情况: |
| 86 | + |
| 87 | +- I 可以放在 V (5) 和 X (10) 的左边,来表示 4 和 9。 |
| 88 | +- X 可以放在 L (50) 和 C (100) 的左边,来表示 40 和 90。 |
| 89 | +- C 可以放在 D (500) 和 M (1000) 的左边,来表示 400 和 900。 |
| 90 | + |
| 91 | +给定一个罗马数字,将其转换成整数。输入确保在 1 到 3999 的范围内。 |
| 92 | + |
| 93 | +## 解题思路 |
| 94 | + |
| 95 | +- 给定一个罗马数字,将其转换成整数。输入确保在 1 到 3999 的范围内。 |
| 96 | +- 简单题。按照题目中罗马数字的字符数值,计算出对应罗马数字的十进制数即可。 |
| 97 | + |
| 98 | +## 代码 |
| 99 | + |
| 100 | +```go |
| 101 | + |
| 102 | +package leetcode |
| 103 | + |
| 104 | +var roman = map[string]int{ |
| 105 | + "I": 1, |
| 106 | + "V": 5, |
| 107 | + "X": 10, |
| 108 | + "L": 50, |
| 109 | + "C": 100, |
| 110 | + "D": 500, |
| 111 | + "M": 1000, |
| 112 | +} |
| 113 | + |
| 114 | +func romanToInt(s string) int { |
| 115 | + if s == "" { |
| 116 | + return 0 |
| 117 | + } |
| 118 | + num, lastint, total := 0, 0, 0 |
| 119 | + for i := 0; i < len(s); i++ { |
| 120 | + char := s[len(s)-(i+1) : len(s)-i] |
| 121 | + num = roman[char] |
| 122 | + if num < lastint { |
| 123 | + total = total - num |
| 124 | + } else { |
| 125 | + total = total + num |
| 126 | + } |
| 127 | + lastint = num |
| 128 | + } |
| 129 | + return total |
| 130 | +} |
| 131 | + |
| 132 | +``` |
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