Leetcode roman Numeral and integer conversion algorithm __ algorithm

Source: Internet
Author: User
The source of the topichttps://leetcode.com/problems/roman-to-integer/https://leetcode.com/problems/integer-to-roman/
Achieve the reciprocal conversion of Roman numerals and integers. The number size is between [1, 3999].
Roman Numerals Roman Numeral LettersRoman numerals consist of only 7 letters, each with the following words
Letters M D C L X V I
Represent numbers 1000 500 100 50 10 5 1

Four RulesThe same number ligatures, the number represented is equal to the number of these numbers added. If XXX indicates that 30 small numbers are on the right side of a large number, the number represented is equal to the number of digits added to these numbers, as in the case of the sum of 8 small (limited by I, X, C) on the left of the large number, the number represented is equal to the large number minus the small number: If IV represents 4, draw a horizontal line above a number, indicating that the number increases Value 1000 times times ( since the title only considers the number within 4000, this rule does not need to be considered)。
Five group number ruleI, X, C: can only use 3, if placed on the left of the large number, only 1. V, L, D: Can not be placed on the left of the large number, can only use one. I can only use the left side of V and X. IV means 4, and IX indicates that 9 x can only be placed on the left side of the l,c. XL indicates that XC C can only be used on the left of D and M. CD representation, CM represents 900

AnalysisThere is a point of trouble, that is, the number can be placed on the left or on the right. That makes the logic of the process not so smooth. If you can only put it on the right side, you could use addition directly. If 9 is expressed as IX, and if represented as VIIII, this is OK if the process is added.
For integers to Roman numerals: You can use combined numbers to split so that the program can implement a method of adding. For Roman digital turn integers: The number that needs to be placed on the left of the large number can only be used to determine whether the current letter is plus or minus.

Code

Integer to Roman numerals

string inttoroman (int num) { 
        if (num <= 0) return "";
        string ret = "";
        static int number[13] = {1000, 900, M, 100,90, 9, 5, 4, 1};
        static string flags[13] = {"M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I"};
        
        for (int i = 0; i < && num > 0; i++) { 
            if (num < number[i]) continue;
            cout<< i << "" << Number[i] << "-" <<flags[i] << Endl;
            while (Num >= number[i]) {
                num-= number[i];
                RET + flags[i];
            }
        return ret; 
    }



Roman numeral Turn int
int Romantoint (string s) {
        int tagval[256];
        tagval[' I '] = 1;
        tagval[' V '] = 5;
        tagval[' X '] = ten;
        tagval[' C '] = m;
        tagval[' M '] = 1000;
        tagval[' L '] = m;
        tagval[' D '] =;
        int val = 0;
        for (int i = 0; i < s.length (); i++) {
            if (i+1 >= s.length () | | tagval[s[i+1]] <= tagval[s[i])
                val + + tag Val[s[i]];
            Else
                val-= tagval[s[i]]; 
        }
        return val; 
    }




Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.