import java.util.Scanner;

import java.util.*;

    public class Solver {

        static ArrayList <Integer> minterms = new ArrayList <Integer>();
        static ArrayList <Integer> dontcares = new ArrayList <Integer>();
        static ArrayList <ArrayList<String>> mintermsBinary = new ArrayList <ArrayList<String>>();
        static ArrayList <String> primeImplicants = new ArrayList <String>();
        static ArrayList <ArrayList <ArrayList<String>>> comparisons = new ArrayList <ArrayList <ArrayList <String>>>();

        static Scanner in = new Scanner(System.in);

        private static void fillArrayList() {
            for(int i=0; i<8; i++)  {
                mintermsBinary.add(new ArrayList());
                comparisons.add(new ArrayList()); //comparisons
                for(int j=0; j<8; j++)
                    comparisons.get(i).add(new ArrayList()); // groups
            }

        }

        private static void decimalToBinary() {
            fillArrayList();
            for(int i=0; i<minterms.size(); i++) {
                int div = minterms.get(i), ones = 0;
                String res= "";
                while(div!=0) {
                    if(div%2==1) {
                        ones++;
                        res = "1" + res;
                    }
                    else
                        res = "0" + res;
                    div/=2;
                }
                for(int j=0, len = res.length(); j<8-len; j++)
                    res = "0" + res;
                mintermsBinary.get(ones).add(res);
            }
            for(int i=0; i<dontcares.size();i++) {
                int div = dontcares.get(i), ones = 0;
                String res = "";
                while(div!=0) {
                    if(div%2==1) {
                        ones++;
                        res = "1" + res;
                    }
                    else
                        res = "0" + res;
                    div/=2;
                }
                for(int j=0, len = res.length(); j<8-len; j++)
                    res = "0" + res;
                mintermsBinary.get(ones).add(res);
            }
            for(int i=0; i<mintermsBinary.size(); i++)
                Collections.sort(mintermsBinary.get(i));
        }

        private static String differBinary(String firstMinterm, String secondMinterm) {
            String result = "";
            int ones=0;
            for(int i=0; i<firstMinterm.length(); i++) {
                if(firstMinterm.charAt(i) != secondMinterm.charAt(i))
                    result += "-";
                else
                    result += firstMinterm.charAt(i);
                if(firstMinterm.charAt(i)=='1')
                    ones++;
            }
            return result + " " + String.valueOf(ones);
        }

        private static void handleInput() {
            for(int k=0; k<mintermsBinary.size()-2; k++) {
                if(mintermsBinary.get(k).isEmpty())
                    continue;
                int l = k+1;
                while(l<mintermsBinary.size() && mintermsBinary.get(l).isEmpty())
                    l++;
                if(l==mintermsBinary.size())
                    return;
                for(int i=0; i<mintermsBinary.get(k).size(); i++) {

                    boolean fPrime = true;

                    for(int j=0; j<mintermsBinary.get(l).size(); j++) {

                        String iBinary = mintermsBinary.get(k).get(i);
                        String jBinary = mintermsBinary.get(l).get(j);

                        int iDecimal = Integer.parseInt(iBinary, 2);
                        int jDecimal = Integer.parseInt(jBinary, 2);
                        int difference = jDecimal - iDecimal;
                        float exponent =  (float) (Math.log(difference) / Math.log(2));

                        if(difference>0 && exponent - (int) exponent ==0) {
                            fPrime = false;

                            ArrayList <String> dashesAndOnes = new ArrayList <String>();
                            for( String retval: differBinary(iBinary, jBinary).split(" "))
                                dashesAndOnes.add(retval);
                            String differenceBinary = dashesAndOnes.get(0);
                            int ones = Integer.parseInt(dashesAndOnes.get(1));

                            boolean fDuplicate = false;
                            for(int m=0; m<comparisons.get(0).size(); m++) //groups
                                for(int n=0; n<comparisons.get(0).get(m).size(); n++) { //implicants
                                    String duplicate = comparisons.get(0).get(m).get(n).split(" ")[0];
                                    if(duplicate.equals(differenceBinary))
                                        fDuplicate = true;

                                }
                            if(!fDuplicate) {
                                comparisons.get(0).get(ones).add(differenceBinary + " " + iDecimal + " " + jDecimal);
                            }
                        }
                        else
                            continue;
                    }
                    if(fPrime) {
                        String primeBinary = mintermsBinary.get(k).get(i);
                        int primeDecimal = Integer.parseInt(primeBinary, 2);
                        String info = primeBinary + " " + String.valueOf(primeDecimal);
                        primeImplicants.add(info);
                    }
                }

            }
        }

        private static void doComparisons() {
            int k;
            boolean fStop = false;
            for(k=0; k<comparisons.size()-2 && !fStop; k++) { //comparisons
                for(int l=0; l<comparisons.get(k).size(); l++) { //groups
                    if(comparisons.get(k).get(l).isEmpty())
                        continue;
                    int m = l+1;
                    while(m< comparisons.get(k).size() && comparisons.get(k).get(m).isEmpty())
                        m++;
                    if(m==comparisons.get(k).size()) {
                        fStop = true;
                        break;
                    }
                    for(int i=0; i<comparisons.get(k).get(l).size(); i++) { //implicants
                            boolean fPrime = true;
                            ArrayList <String> iData = new ArrayList <String>();
                            for(String retval: comparisons.get(k).get(l).get(i).split(" "))
                                iData.add(retval);

                            for(int j=0; j<comparisons.get(k).get(m).size(); j++) {

                                ArrayList <String> jData = new ArrayList <String>();

                                for(String retval: comparisons.get(k).get(m).get(j).split(" "))
                                    jData.add(retval);

                                float exponent = 0;
                                int difference = 0;
                                boolean fAccept = true;
                                for(int x=1; x<iData.size(); x++) {
                                    int iDifference = Integer.parseInt(iData.get(x));
                                    int jDifference = Integer.parseInt(jData.get(x));
                                    int tempDifference = jDifference - iDifference;
                                    float tempExponent = (float) (Math.log(tempDifference) / Math.log(2));
                                    if(x==1) {
                                        difference = tempDifference;
                                        exponent =  tempExponent;
                                        if(difference<0 || exponent - (int) exponent!=0) {
                                            fAccept = false;
                                            break;
                                        }
                                    }
                                    else {
                                        if(tempDifference!=difference || tempExponent!=exponent) {
                                            fAccept = false;
                                            break;
                                        }
                                    }
                                }

                                if(fAccept) {
                                    fPrime = false;

                                    String iBinary = iData.get(0);
                                    String jBinary = jData.get(0);
                                    ArrayList <String> dashesAndOnes = new ArrayList <String>();
                                    for( String retval: differBinary(iBinary, jBinary).split(" "))
                                        dashesAndOnes.add(retval);
                                    String differenceBinary = dashesAndOnes.get(0);
                                    int ones = Integer.parseInt(dashesAndOnes.get(1));
                                    boolean fDuplicate = false;
                                    for(int x=0; x<comparisons.get(k+1).size(); x++) {
                                        for(int y=0; y<comparisons.get(k+1).get(x).size(); y++) {
                                            String duplicate = comparisons.get(k+1).get(x).get(y).split(" ")[0];
                                            if(duplicate.equals(differenceBinary)) {
                                                fDuplicate = true;
                                                break;
                                            }
                                        }
                                    }
                                    if(!fDuplicate) {
                                        String info = differenceBinary;
                                        for(int x=1; x< iData.size(); x++) {
                                            info += " " + iData.get(x);
                                        }
                                        for(int x=1; x< jData.size(); x++) {
                                            info += " " + jData.get(x);
                                        }
                                        comparisons.get(k+1).get(ones).add(info);
                                    }
                                    else
                                        continue;
                                }

                            }
                            if(fPrime) {
                                String info = iData.get(0);
                                for(int x=1; x<iData.size(); x++)
                                    info += " " + iData.get(x);
                                primeImplicants.add(info);
                    }

                    }

                }
            }

            for(int i=0; i<comparisons.get(k).size(); i++) //groups
                for(int j=0; j<comparisons.get(k).get(i).size(); j++) {
                    ArrayList <String> data = new ArrayList <String>();
                    for(String retval: comparisons.get(k).get(i).get(j).split(" "))
                        data.add(retval);
                    String info = data.get(0);
                    for(int x=1; x<data.size(); x++)
                        info += " " + data.get(x);
                    primeImplicants.add(info);
                }
        }

        public static void main(String[] args) {
            System.out.println("Enter the minterms in decimal <-1 to finish>:");
            while(true) {
                int input;
                input = in.nextInt();
                if(input==-1)
                    break;
                minterms.add(input);
            }
            System.out.println("Enter the dontcares in decimal <-1 to finish>:");
            while(true) {
                int input;
                input = in.nextInt();
                if(input==-1)
                    break;
                dontcares.add(input);
            }
            decimalToBinary();
            handleInput();
            doComparisons();


            for(int i=0; i<comparisons.get(0).size(); i++) {
                for(int j=0; j<comparisons.get(0).get(i).size(); j++)
                    System.out.println(comparisons.get(0).get(i).get(j));
            System.out.println();
            }
            for(int i=0; i<comparisons.get(1).size(); i++) {
                for(int j=0; j<comparisons.get(1).get(i).size(); j++)
                    System.out.println(comparisons.get(1).get(i).get(j));
                System.out.println();
            }
            for(int i=0; i<primeImplicants.size(); i++) {
                System.out.println(primeImplicants.get(i));
            }
        }


    }