Q:

C++ program to Convert Roman Number to Integer Number

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mahmoud2506
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2022-05-05
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Given a number in Roman format and we have to convert it into integer/decimal format.

Example:

    Input: XIV
    Output: 14

    Input: XI
    Output: 11
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mahmoud2506
2022-05-05
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Algorithm:

roman_to_int(string roman)

Step 1: Declare all Roman characters and its integer value 
        in a Array ( rmap[] ) where Index=’Roman_character’
Step 2: If (Length of roman) =<1
            Return corresponding Array index value.
Step 3: else
Step 4: Repeat step 5 and step 6, While((i<roman.size()) 
Step 5: if(rmap[roman[i]]<rmap[roman[i+1]])
            number+=rmap[roman[i+1]]-rmap[roman[i]]		
            //number is storing the integer number 
            //after conversion; number=0
            i+=2;
Step 6: else
        number+=rmap[roman[i]]
        i++
Step 7:
return number

Program:

#include <bits/stdc++.h>
using namespace std;

int roman_to_int(string roman){
	map<char,int> rmap;
	rmap['I'] =   1;
	rmap['V'] =   5;
	rmap['X'] =  10;
	rmap['L'] =  50;
	rmap['C'] = 100;
	rmap['D'] = 500;
	rmap['M'] =1000;
	int number=0,i=0;
	
	//If input is only one character
	if(roman.length()<=1){
		return rmap[roman.at(0)];
	}
	else{
		while(i<roman.size()){
			if(rmap[roman[i]]<rmap[roman[i+1]]){
				number+=rmap[roman[i+1]]-rmap[roman[i]];
				i+=2;
			}
			else{
				number+=rmap[roman[i]];
				i++;
			}
		}
		return number;
	}
}

int main(){
	string roman;
	
	cout<<"Enter the roman number (in capital only): ";
	getline(cin,roman);
	
	int number;
	number=roman_to_int(roman);
	
	cout<<"The interger form is: "<<number;
	
	return 0;
}

Output

Enter the roman number (in capital only): XIV
The interger form is: 14

Explanation:

 
Sample Input : XIV
=>  String lenght is >1, so it is "else" part of roman_to_int() 
will execute here.
Step1:  
i=0, so, 0<3 (size of string), while loop will execute.
Now, rmap[roman[0]]=rmap[X] that is equal to 10, and 
rmap[roman[1]]=1,
So, 10<1 that is false, so "else" part inside the while loop 
will execute and 
number+=rmap[roman[i]];
=> number=0+10
=>number=10 and i=0+1 that is i=1
Step2:
i=1, so, 1<3, again while loop will execute.
Now, rmap[roman[1]]=rmap[I] that is eaual to 1 and 
rmap[roman[2]]=5,
So, 1<5, that is true... So, if part inside the while loop will 
execute and
number+=rmap[roman[i+1]]-rmap[roman[i]];
=>number+=rmap[V]-rmap[I]
=>number+=5-1
=>number+=4
=>number=10+4
=>number=14
And, i=i+2 that is i=3
Step3:
i=3, so, 3<3 that is false.

So, return value will be 14.

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