Metric Converter

#include <iostream>
#include <iomanip>

using namespace std;

int main() {
    double number;
    cin >> number;

    string inputMetric, outputMetric;
    cin >> inputMetric >> outputMetric;

    if (inputMetric == "mm") {
        if (outputMetric == "cm") {
            number /= 10;
        }
        else {
            number /= 1000;
        }
    }
    else if (inputMetric == "cm") {
        if (outputMetric == "m") {
            number /= 100;
        }
        else {
            number *= 10;
        }
    }
    else {
        if (outputMetric == "cm") {
            number *= 100;
        }
        else {
            number *= 1000;
        }
    }

    cout << fixed << setprecision(3) << number << endl;

    return 0;
}