Given an integer, convert it to a roman numeral.

Input is guaranteed to be within the range from 1 to 3999.

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 Math String

class Solution {
public:
	string intToRoman(int num)
	{
		int digits[] = { 1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1 };
		string symbols[] = { "M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I" };
		string result;
		int i = 0;
		while (num > 0)
		{
			int times = num / digits[i];
			num -= times*digits[i];
			for (int j = 0; j < times; j++)
			{
				result += symbols[i];
			}
			++i;
		}
		return result;
	}
};

12.Integer to Roman