163. integer to roman numerals

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This is reverse of 133. roman numerals to integer

Roman numerals are represented by combinations of following seven symbols, each with a fixed integer value.

Symbol I V X L C D M
Value 1 5 10 50 100 500 1000

For Standard form, subtractive notation is used, meaning 4 is IV rather than IIII, 9 is IX rather than VIIII. Same rule applies to 40(XL) and 900(CM) .etc.

Simply speaking, the roman numerals in standard form follow these rules.

  1. symbols are listed from highest to lowest, from left to right
  2. from left to right, if the next symbol value is bigger than current one, it means subtracting, otherwise adding.

Please implement integerToRoman(). The input are all integers within valid range.


integerToRoman(123)
// 'CXXIII'

integerToRoman(1999)
// 'MCMXCIX'

integerToRoman(3420)
// 'MMMCDXX'

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