- Roman numerals to Integer
Roman numeral characters comprising the following seven: I, V, X, L, C, D and M.
Numerical character
the I. 1
V. 5
X-10
L 50
C 100
D 500
M 1000
, for example, 2 written as Roman numerals II, namely 1.12 written as two parallel XII, namely X + II. 27 written as XXVII, namely XX + V + II.
Typically, small numbers of Roman numerals to the right in large numbers. But there are exceptions, for example, do not write 4 IIII, but IV. In the left number 5 number 1, the number of large numbers equal to the value represented by a reduced number 5 obtained 4. Likewise, the number 9 is represented as IX. This special rule applies only to the following six cases:
I may be on the left V (5) and X (10), and to represent 4 and 9.
X L can be placed on the left (50) and C (100), and 40 and 90 are represented.
C may be placed on D (500) and M (1000) to the left, to 400 and 900 represent.
Given a Roman numeral, to convert it to an integer. To ensure that the input is in the range of 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
explains: L = 50, V = 5 , III = 3.
Example 5:
Input: "MCMXCIV"
Output: 1994
explanation: M = 1000, CM = 900 , XC = 90, IV = 4.
1 public class T13 { 2 public int romanToInt(String s) { 3 HashMap<String, Integer> map = new LinkedHashMap<>(); 4 map.put("M",1000); 5 map.put("CM",900); 6 map.put("D",500); 7 map.put("CD",400); 8 map.put("C",100); 9 map.put("XC",90); 10 map.put("L",50); 11 map.put("XL",40); 12 map.put("X",10); 13 map.put("IX",9); 14 map.put("V",5); 15 map.put("IV",4); 16 map.put("I",1); 17 18 int res = 0; 19 for (int i = 0; i < s.length() - 1; i++) { 20 String str1 = s.charAt(i) + ""; 21 String str2 = s.charAt(i + 1) + ""; 22 if (map.get(str1) < map.get(str2)) { 23 res -= map.get(str1); 24 } else { 25 res += map.get(str1); 26 } 27 } 28 res += map.get(s.charAt(s.length() - 1) + ""); 29 30 return res; 31 } 32 33 }
- Integer to Roman numerals
Roman numeral characters comprising the following seven: I, V, X, L, C, D and M.
Numerical character
the I. 1
V. 5
X-10
L 50
C 100
D 500
M 1000
, for example, 2 written as Roman numerals II, namely 1.12 written as two parallel XII, namely X + II. 27 written as XXVII, namely XX + V + II.
Typically, small numbers of Roman numerals to the right in large numbers. But there are exceptions, for example, do not write 4 IIII, but IV. In the left number 5 number 1, the number of large numbers equal to the value represented by a reduced number 5 obtained 4. Likewise, the number 9 is represented as IX. This special rule applies only to the following six cases:
I may be on the left V (5) and X (10), and to represent 4 and 9.
X L can be placed on the left (50) and C (100), and 40 and 90 are represented.
C may be placed on D (500) and M (1000) to the left, to 400 and 900 represent.
Given an integer, convert it to a Roman numeral. To ensure that the input is in the range of 1 to 3999.
Example 1:
Input: 3
Output: "III"
Example 2:
Input: 4
Output: "IV"
Example 3:
Input: 9
Output: "IX"
Example 4:
Input: 58
Output: "LVIII"
explanation: L = 50, V = 5 , III = 3.
Example 5:
Input: 1994
Output: "MCMXCIV"
explanation: M = 1000, CM = 900 , XC = 90, IV = 4.
1 public class T12 { 2 3 public String intToRoman(int num) { 4 int[] nums = {1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1}; 5 String[] strs = {"M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I"}; 6 String res = ""; 7 for (int i = 0;i < nums.length;i++) { 8 int count = num / nums[i]; 9 if (count == 0) { 10 continue; 11 } 12 for (int j = 0; j < count; j++) { 13 res += strs[i]; 14 } 15 num -= count * nums[i]; 16 if (num == 0) { 17 break; 18 } 19 } 20 return res; 21 22 } 23 24 }