#include <cstdlib>
#include <cstdio>
#include <iostream>

using namespace std;

bool checkNumber(char number[])
{
    int timesI = 0, timesV = 0, timesX = 0, timesL = 0, timesC = 0, timesD = 0, timesM = 0;
    bool itsValid = false;

    for(int i = 0; number[i] != '\0'; i++)
    {
        if(number[i] == 'I' || number[i] == 'i')
        {
            timesI++;
        }
        else if(number[i] == 'V' || number[i] == 'v')
        {
            timesV++;
        }
        else if(number[i] == 'X' || number[i] == 'x')
        {
            timesX++;
        }
        else if(number[i] == 'L' || number[i] == 'l')
        {
            timesL++;
        }
        else if(number[i] == 'C' || number[i] == 'c')
        {
            timesC++;
        }
        else if(number[i] == 'D' || number[i] == 'd')
        {
            timesD++;
        }
        else if(number[i] == 'M' || number[i] == 'm')
        {
            timesM++;
        }
    }

    if(timesI > 3 || timesV > 3 || timesL > 3 || timesC > 3 || timesD > 3 || timesM > 3)
    {
        itsValid = false;
    }
    else
    {
        itsValid = true;
    }

    return itsValid;
}

int convertIntoInteger(char number[])
{
    int convertedNumber = 0;

    for(int i = 0; number[i] != '\0'; i++)
    {
        if(number[i] == 'I' || number[i] == 'i')
        {
            if(number[i + 1] != 'V' && number[i + 1] != 'v' && number[i + 1] != 'X' && number[i + 1] != 'x' && number[i + 1] != 'L' && number[i + 1] != 'l' && number[i + 1] != 'C' && number[i + 1] != 'c' && number[i + 1] != 'D' && number[i + 1] != 'd' && number[i + 1] != 'M' && number[i + 1] != 'm')
            {
               convertedNumber += 1;
            }
            else if(number[i + 1] == 'V' || number[i + 1] == 'v')
            {
                convertedNumber += 4;
                i++;
            }
            else if(number[i + 1] == 'X' || number[i + 1] == 'x')
            {
                convertedNumber += 9;
                i++;
            }
            else if(number[i + 1] == 'L' || number[i + 1] == 'l')
            {
                convertedNumber += 49;
                i++;
            }
            else if(number[i + 1] == 'C' || number[i + 1] == 'c')
            {
                convertedNumber += 99;
                i++;
            }
            else if(number[i + 1] == 'D' || number[i + 1] == 'd')
            {
                convertedNumber += 499;
                i++;
            }
            else if(number[i + 1] == 'M' || number[i + 1] == 'm')
            {
                convertedNumber += 999;
                i++;
            }
        }
        else if(number[i] == 'V' || number[i] == 'v')
        {
            convertedNumber += 5;
        }
        else if(number[i] == 'X' || number[i] == 'x')
        {
            if(number[i + 1] != 'L' && number[i + 1] != 'l' && number[i + 1] != 'C' && number[i + 1] != 'c' && number[i + 1] != 'D' && number[i + 1] != 'd' && number[i + 1] != 'M'&& number[i + 1] != 'm')
            {
               convertedNumber += 10;
            }
            else if(number[i + 1] == 'L' || number[i + 1] == 'l')
            {
                convertedNumber += 40;
                i++;
            }
            else if(number[i + 1] == 'C' || number[i + 1] == 'c')
            {
                convertedNumber += 90;
                i++;
            }
            else if(number[i + 1] == 'D' || number[i + 1] == 'd')
            {
                convertedNumber += 490;
                i++;
            }
            else if(number[i + 1] == 'M' || number[i + 1] == 'm')
            {
                convertedNumber += 990;
                i++;
            }
        }
        else if(number[i] == 'L' || number[i] == 'l')
        {
            convertedNumber += 50;
        }
        else if(number[i] == 'C' || number[i] == 'c')
        {
            if(number[i + 1] != 'D' && number[i + 1] != 'd' && number[i + 1] != 'M' && number[i + 1] != 'm')
            {
               convertedNumber += 100;
            }
            else if(number[i + 1] == 'D' || number[i + 1] == 'd')
            {
                convertedNumber += 400;
                i++;
            }
            else if(number[i + 1] == 'M' || number[i + 1] == 'm')
            {
                convertedNumber += 900;
                i++;
            }
        }
        else if(number[i] == 'D' || number[i] == 'd')
        {
            convertedNumber += 500;
        }
        else if(number[i] == 'M' || number[i] == 'm')
        {
            convertedNumber += 1000;
        }
    }

    return convertedNumber;
}

bool checkRomanEquation(char n1[], char n2[], char n3[], char op)
{
    bool answer = false;
    int partialResult;
    int convertedNumber1, convertedNumber2, convertedNumber3;

    convertedNumber1 = convertIntoInteger(n1);
    convertedNumber2 = convertIntoInteger(n2);
    convertedNumber3 = convertIntoInteger(n3);

    if(op == '+')
    {
        partialResult = convertedNumber1 + convertedNumber2;
    }
    else if(op == '-')
    {
        partialResult= convertedNumber1 - convertedNumber2;
    }
    else if(op == '*')
    {
        partialResult = convertedNumber1 * convertedNumber2;
    }
    else if(op == '/')
    {
        partialResult = convertedNumber1 / convertedNumber2;
    }

    if(partialResult == convertedNumber3)
    {
        answer = true;
    }
    else
    {
        answer = false;
    }

    return answer;
}

int main()
{
    char n1[100], n2[100], n3[100];
    char op;

    printf("Insira o primeiro numero romano:\n");
    scanf("%s", n1);
    if(checkNumber(n1) == false)
    {
        do
        {
            printf("Insira um numero valido:\n");
            scanf("%s", n1);
        }while(checkNumber(n1) == false);
    }
    printf("Insira o operador:\n");
    scanf(" %c", &op);
    if(op != '+' && op != '-' && op != '*' && op != '/')
    {
        do
        {
            printf("Insira um operador valido:\n");
            scanf(" %c", &op);
        }while(op != '+' && op != '-' && op != '*' && op != '/');
    }
    printf("Insira o segundo numero romano:\n");
    scanf("%s", n2);
    if(checkNumber(n2) == false)
    {
        do
        {
            printf("Insira um numero valido:\n");
            scanf("%s", n2);
        }while(checkNumber(n2) == false);
    }
    printf("Insira o resultado da operacao:\n");
    scanf("%s", n3);
    if(checkNumber(n3) == false)
    {
        do
        {
            printf("Insira um numero valido:\n");
            scanf("%s", n3);
        }while(checkNumber(n3) == false);
    }

    if(checkRomanEquation(n1, n2, n3, op) == true)
    {
        printf("A operacao esta correta.\n");
    }
    else
    {
        printf("A operacao esta errada\n");
    }

    return 0;
}