Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.Symbol ValueI 1V 5X 10L 50C 100D 500M 1000For example, 3 is written as III in Roman numeral, just three ones added together. 12 is written as XII, which is simply X + II. The number 26 is written as XXVI, which is XX + V + I.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.Input FormatN, integerConstraints1 <= N <= 2000Output Formatset of charactersSample Input 03Sample Output 0IIISample Input 158Sample Output 1LVIIISample Input 21994Sample Output 2MCMXCIV
Question
Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.Symbol ValueI 1V 5X 10L 50C 100D 500M 1000For example, 3 is written as III in Roman numeral, just three ones added together. 12 is written as XII, which is simply X + II. The number 26 is written as XXVI, which is XX + V + I.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.Input FormatN, integerConstraints1 <= N <= 2000Output Formatset of charactersSample Input 03Sample Output 0IIISample Input 158Sample Output 1LVIIISample Input 21994Sample Output 2MCMXCIV
Solution
The text you provided is a problem statement for converting an integer to a Roman numeral. Here's how you can solve it:
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Create a list of tuples for each Roman numeral and its corresponding integer value. Make sure the list is sorted in descending order. For example: [(1000, 'M'), (900, 'CM'), (500, 'D'), (400, 'CD'), (100, 'C'), (90, 'XC'), (50, 'L'), (40, 'XL'), (10, 'X'), (9, 'IX'), (5, 'V'), (4, 'IV'), (1, 'I')].
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Initialize an empty string to store the Roman numeral.
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Iterate over the list of tuples. For each tuple, while the integer is greater than or equal to the tuple's integer value, subtract the tuple's integer value from the integer and append the tuple's Roman numeral to the string.
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Continue this process until the integer is 0.
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The string now contains the Roman numeral representation of the original integer.
For example, if the input is 158:
- 158 is greater than 100, so subtract 100 from 158 (leaving 58) and append 'C' to the string.
- 58 is greater than 50, so subtract 50 from 58 (leaving 8) and append 'L' to the string.
- 8 is greater than 5, so subtract 5 from 8 (leaving 3) and append 'V' to the string.
- 3 is greater than 1, so subtract 1 from 3 three times and append 'I' to the string each time.
The final string is 'CLVIII', which is the Roman numeral representation of 158.
Similar Questions
Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.Symbol ValueI 1V 5X 10L 50C 100D 500M 1000For example, 2 is written as II in Roman numeral, just two ones 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:Input: s = "III"Output: 3Explanation: III = 3.Example 2:Input: s = "LVIII"Output: 58Explanation: L = 50, V= 5, III = 3.Example 3:Input: s = "MCMXCIV"Output: 1994Explanation: M = 1000, CM = 900, XC = 90 and IV = 4. Constraints:1 <= s.length <= 15s 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].
In Roman Numerals, MMCVII – MDCCXI = ?
If we interchange the place of the symbols in the Roman Numeral "VI", by how much value will the numeral decrease?
How can a roman numeral in a chemical name be used to write a chemical formula?A.The roman numeral is the charge on the nonmetal in the chemical formula.B.The roman numeral is the nonmetal's oxidation state used as the subscript on the metal in the crisscross method.C.The roman numeral is the subscript on the metal in the chemical formula.D.The roman numeral is the metal's oxidation state used as the subscript on the nonmetal in the crisscross method.
How should each appendix be represented?a.Roman Numerals ( I,II,III)b.Arabic Numerals (1,2,3)c.Capital letters (A,B,C)d.Lowercase letters (a,b,c)
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