#include <iostream>

using namespace std;

const int FINGERS_PER_PALM{4};
const int PALMS_PER_CUBIT{6};
const int GRAINS_PER_FINGER{1};

int ConvertToFingers(int fingers, int palms, int cubits);
void GetInput(int & fingers, int & palms, int & cubits, string pos);
void ReduceFingers(int totalFingers, int & fingers, int & palms, int & cubits);
void PrintUnits(int fingers, int palms, int cubits);

int main() {

    int inputCubits{0},
        inputPalms{0},
        inputFingers{0};

    int fingers{0},
        palms{0},
        cubits{0};

    int startFingers{0},
        endFingers{0};

    int totalFingers{0};

    int rice{0};

    // get the starting position
    GetInput(inputFingers, inputPalms, inputCubits, "starting");
    startFingers = ConvertToFingers(inputFingers, inputPalms, inputCubits);

    // get the ending position
    GetInput(inputFingers, inputPalms, inputCubits, "ending");
    endFingers = ConvertToFingers(inputFingers, inputPalms, inputCubits);

    cout << endl << endl;

    // find the totals
    totalFingers = endFingers - startFingers;
    rice = totalFingers * GRAINS_PER_FINGER;

    // convert start and print
    ReduceFingers(startFingers, fingers, palms, cubits);
    cout << "Nebi and Ako started at: ";
    PrintUnits(fingers, palms, cubits);
    cout << endl;

    // convert end and print
    ReduceFingers(endFingers, fingers, palms, cubits);
    cout << "             ended   at: ";
    PrintUnits(fingers, palms, cubits);
    cout << endl;

    // print the distance traveled
    ReduceFingers(totalFingers, fingers, palms, cubits);
    
    cout << "Distance Traveled      : ";
    PrintUnits(fingers, palms, cubits);
    cout << endl;

    cout << "Total Rice: " << rice << " grains." << endl;

    return 0;
}

int ConvertToFingers(int fingers, int palms, int cubits) {
    int totalFingers{0};

    totalFingers = fingers + palms * FINGERS_PER_PALM +
                   cubits * PALMS_PER_CUBIT * FINGERS_PER_PALM;

    return totalFingers;
}

void GetInput(int & fingers, int & palms, int & cubits, string pos){

    cout << "Enter the " << pos << " cubits => ";
    cin >> cubits;

    cout << "Enter the " << pos << " palms => ";
    cin >> palms;

    cout << "Enter the " << pos << " fingers => ";
    cin >> fingers;

    return;
}

void ReduceFingers(int totalFingers, int & fingers, int & palms, int & cubits){
    fingers = totalFingers % FINGERS_PER_PALM;
    totalFingers /= FINGERS_PER_PALM;
    palms = totalFingers % PALMS_PER_CUBIT;
    cubits = totalFingers / PALMS_PER_CUBIT;

    return;
}

void PrintUnits(int fingers, int palms, int cubits){
    cout << cubits << " cubits " 
         << palms << " palms " 
         << fingers << " fingers";

    return;
}