/* package whatever; // don't place package name! */
import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
class Ideone
{
static int idCount = 0;
static class State implements Comparable<State>
{
final int id = idCount++;
final int bit;
final State[] parent;
State
(int bit,
String s, State...
parent) {
this.bit = bit;
this.type = s;
this.parent = parent;
}
@Override
{
return text;
}
@Override
public int compareTo(State o)
{
}
@Override
public boolean equals
(Object o
) {
return o instanceof State & ((State) o).bit == bit;
}
@Override
public int hashCode()
{
return bit;
}
{
return Integer.
toBinaryString(bit
| 0b100000000
).
substring(1); }
private void set(Set<State> set)
{
set.add(this);
for (State s : parent)
s.set(set);
}
}
static boolean or
(State a, State b, List
<State
> list,
BitSet bitset
) {
int bit = a.bit | b.bit;
if (bitset.get(bit)) return false;
list.add(new State(bit, "or", a, b));
bitset.set(bit);
return true;
}
static boolean and
(State a, State b, List
<State
> list,
BitSet bitset
) {
int bit = a.bit & b.bit;
if (bitset.get(bit)) return false;
list.add(new State(bit, "and", a, b));
bitset.set(bit);
return true;
}
static boolean not
(State a, List
<State
> list,
BitSet bitset
) {
int bit = a.bit ^ 0b11111111;
if (bitset.get(bit)) return false;
list.add(new State(bit, "not", a));
bitset.set(bit);
return true;
}
static void combination
(List
<State
> list,
BitSet bitset
) {
int n = 1;
while (true)
{
int size = list.size();
for (int i = 0; i < size - 1; i++)
{
for (int j
= Math.
max(n, i
+ 1); j
< size
; j
++) {
and(list.get(i), list.get(j), list, bitset);
}
}
for (int i = 0; i < size - 1; i++)
{
for (int j
= Math.
max(n, i
+ 1); j
< size
; j
++) {
or(list.get(i), list.get(j), list, bitset);
}
}
if (list.size() == size) return;
n = size;
}
}
public static void main
(String[] args
) {
State x = new State(0b00001111, " x");
State y = new State(0b00110011, " y");
State z = new State(0b01010101, " z");
State notX = new State(0b11110000, "x'");
State notY = new State(0b11001100, "y'");
State notZ = new State(0b10101010, "z'");
ArrayList
<State
> orand
= new ArrayList
<>(Arrays.
asList(x, y, z
)); orandSet.set(x.bit);
orandSet.set(y.bit);
orandSet.set(z.bit);
combination(orand, orandSet);
for (int n1 = 0; n1 < orand.size(); n1++)
{
ArrayList<State> orandnot = new ArrayList<>(orand);
if (!not(orand.get(n1), orandnot, orandnotSet)) continue;
combination(orandnot, orandnotSet);
for (int n2 = n1 + 1; n2 < orandnot.size(); n2++)
{
ArrayList<State> result = new ArrayList<>(orandnot);
if (!not(orandnot.get(n2), result, resultSet)) continue;
combination(result, resultSet);
if (result.contains(notX) && result.contains(notY) && result.contains(notZ))
{
for (State s : result)
{
if (s.equals(notX)) notX = s;
else if (s.equals(notY)) notY = s;
else if (s.equals(notZ)) notZ = s;
}
TreeSet<State> set = new TreeSet<>();
notX.set(set);
notY.set(set);
notZ.set(set);
int notCount = 0, orCount = 0, andCount = 0;
for (State s : set)
{
if (s.type == "not")
{
s.
name = String.
format("N%02d",
++notCount
); s.
text = String.
format("%s = not(%s) : %s =~%s", s.
name, s.
parent[0].
name, s.
bit(), s.
parent[0].
bit()); }
else if (s.type == "or")
{
s.
name = String.
format("O%02d",
++orCount
); s.
text = String.
format("%s = or(%s, %s) : %s = %s | %s", s.
name, s.
parent[0].
name, s.
parent[1].
name, s.
bit(), s.
parent[0].
bit(), s.
parent[1].
bit()); }
else if (s.type == "and")
{
s.
name = String.
format("A%02d",
++andCount
); s.
text = String.
format("%s = and(%s, %s) : %s = %s & %s", s.
name, s.
parent[0].
name, s.
parent[1].
name, s.
bit(), s.
parent[0].
bit(), s.
parent[1].
bit()); }
else
{
s.name = s.type;
s.
text = String.
format("%s: %s", s.
name, s.
bit()); }
}
System.
out.
printf("x' = %s%n", notX.
name); System.
out.
printf("y' = %s%n", notY.
name); System.
out.
printf("z' = %s%n", notZ.
name); System.
out.
printf("not=%d, or=%d, and=%d%n", notCount, orCount, andCount
); }
}
}
}
}
/* package whatever; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
class Ideone
{
    static int idCount = 0;

    static class State implements Comparable<State>
    {
        final int id = idCount++;
        final int bit;
        final State[] parent;
        String type;
        String name;
        String text;

        State(int bit, String s, State... parent)
        {
            this.bit = bit;
            this.type = s;
            this.parent = parent;
        }

        @Override
        public String toString()
        {
            return text;
        }

        @Override
        public int compareTo(State o)
        {
            return Integer.compare(id, o.id);
        }

        @Override
        public boolean equals(Object o)
        {
            return o instanceof State & ((State) o).bit == bit;
        }

        @Override
        public int hashCode()
        {
            return bit;
        }

        String bit()
        {
            return Integer.toBinaryString(bit | 0b100000000).substring(1);
        }

        private void set(Set<State> set)
        {
            set.add(this);
            for (State s : parent)
                s.set(set);
        }
    }

    static boolean or(State a, State b, List<State> list, BitSet bitset)
    {
        int bit = a.bit | b.bit;
        if (bitset.get(bit)) return false;
        list.add(new State(bit, "or", a, b));
        bitset.set(bit);
        return true;
    }

    static boolean and(State a, State b, List<State> list, BitSet bitset)
    {
        int bit = a.bit & b.bit;
        if (bitset.get(bit)) return false;
        list.add(new State(bit, "and", a, b));
        bitset.set(bit);
        return true;
    }

    static boolean not(State a, List<State> list, BitSet bitset)
    {
        int bit = a.bit ^ 0b11111111;
        if (bitset.get(bit)) return false;
        list.add(new State(bit, "not", a));
        bitset.set(bit);
        return true;
    }

    static void combination(List<State> list, BitSet bitset)
    {
        int n = 1;
        while (true)
        {
            int size = list.size();
            for (int i = 0; i < size - 1; i++)
            {
                for (int j = Math.max(n, i + 1); j < size; j++)
                {
                    and(list.get(i), list.get(j), list, bitset);
                }
            }
            for (int i = 0; i < size - 1; i++)
            {
                for (int j = Math.max(n, i + 1); j < size; j++)
                {
                    or(list.get(i), list.get(j), list, bitset);
                }
            }
            if (list.size() == size) return;
            n = size;
        }
    }


    public static void main(String[] args)
    {
        State x = new State(0b00001111, "  x");
        State y = new State(0b00110011, "  y");
        State z = new State(0b01010101, "  z");
        State notX = new State(0b11110000, "x'");
        State notY = new State(0b11001100, "y'");
        State notZ = new State(0b10101010, "z'");

        ArrayList<State> orand = new ArrayList<>(Arrays.asList(x, y, z));
        BitSet orandSet = new BitSet();
        orandSet.set(x.bit);
        orandSet.set(y.bit);
        orandSet.set(z.bit);
        combination(orand, orandSet);

        for (int n1 = 0; n1 < orand.size(); n1++)
        {
            ArrayList<State> orandnot = new ArrayList<>(orand);
            BitSet orandnotSet = (BitSet) orandSet.clone();
            if (!not(orand.get(n1), orandnot, orandnotSet)) continue;
            combination(orandnot, orandnotSet);

            for (int n2 = n1 + 1; n2 < orandnot.size(); n2++)
            {
                ArrayList<State> result = new ArrayList<>(orandnot);
                BitSet resultSet = (BitSet) orandnotSet.clone();
                if (!not(orandnot.get(n2), result, resultSet)) continue;
                combination(result, resultSet);

                if (result.contains(notX) && result.contains(notY) && result.contains(notZ))
                {
                    for (State s : result)
                    {
                        if (s.equals(notX)) notX = s;
                        else if (s.equals(notY)) notY = s;
                        else if (s.equals(notZ)) notZ = s;
                    }

                    TreeSet<State> set = new TreeSet<>();
                    notX.set(set);
                    notY.set(set);
                    notZ.set(set);
                    int notCount = 0, orCount = 0, andCount = 0;
                    for (State s : set)
                    {
                        if (s.type == "not")
                        {
                            s.name = String.format("N%02d", ++notCount);
                            s.text = String.format("%s = not(%s)      : %s =~%s", s.name, s.parent[0].name, s.bit(), s.parent[0].bit());
                        }
                        else if (s.type == "or")
                        {
                            s.name = String.format("O%02d", ++orCount);
                            s.text = String.format("%s =  or(%s, %s) : %s = %s | %s", s.name, s.parent[0].name, s.parent[1].name, s.bit(), s.parent[0].bit(), s.parent[1].bit());
                        }
                        else if (s.type == "and")
                        {
                            s.name = String.format("A%02d", ++andCount);
                            s.text = String.format("%s = and(%s, %s) : %s = %s & %s", s.name, s.parent[0].name, s.parent[1].name, s.bit(), s.parent[0].bit(), s.parent[1].bit());
                        }
                        else
                        {
                            s.name = s.type;
                            s.text = String.format("%s: %s", s.name, s.bit());
                        }
                        System.out.println(s);
                    }
                    System.out.printf("x' = %s%n", notX.name);
                    System.out.printf("y' = %s%n", notY.name);
                    System.out.printf("z' = %s%n", notZ.name);
                    System.out.printf("not=%d, or=%d, and=%d%n", notCount, orCount, andCount);
                }
            }
        }
    }
}