Simon and Antisimon play a game. Initially each player receives one fixed positive integer that doesn't change throughout the game. Simon receives number a and Antisimon receives number b. They also have a heap of n stones. The players take turns to make a move and Simon starts. During a move a player should take from the heap the number of stones equal to the greatest common divisor of the fixed number he has received and the number of stones left in the heap. A player loses when he cannot take the required number of stones (i. e. the heap has strictly less stones left than one needs to take). 

Your task is to determine by the given a, b and n who wins the game.

Input

The only string contains space-separated integers a, b and n (1 ≤ a, b, n ≤ 100) — the fixed numbers Simon and Antisimon have received correspondingly and the initial number of stones in the pile.

Output

If Simon wins, print "0" (without the quotes), otherwise print "1" (without the quotes).

Examples

Input

3 5 9


Output

0

Input

1 1 100


Output

1

Note

The greatest common divisor of two non-negative integers a and b is such maximum positive integer k, that a is divisible by k without remainder and similarly, b is divisible by k without remainder. Let gcd(a, b) represent the operation of calculating the greatest common divisor of numbers a and b. Specifically, gcd(x, 0) = gcd(0, x) = x.

In the first sample the game will go like that:

  * Simon should take gcd(3, 9) = 3 stones from the heap. After his move the heap has 6 stones left.
  * Antisimon should take gcd(5, 6) = 1 stone from the heap. After his move the heap has 5 stones left.
  * Simon should take gcd(3, 5) = 1 stone from the heap. After his move the heap has 4 stones left.
  * Antisimon should take gcd(5, 4) = 1 stone from the heap. After his move the heap has 3 stones left.
  * Simon should take gcd(3, 3) = 3 stones from the heap. After his move the heap has 0 stones left.
  * Antisimon should take gcd(5, 0) = 5 stones from the heap. As 0 < 5, it is impossible and Antisimon loses.



In the second sample each player during each move takes one stone from the heap. As n is even, Antisimon takes the last stone and Simon can't make a move after that.
import java.util.ArrayList;
import java.util.Hashtable;
import java.util.InputMismatchException;
import java.util.Locale;
import java.util.Scanner;
import java.util.regex.Pattern;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.UnsupportedEncodingException;
 
public class Main {
    
    public static void main(String[] args) throws Exception {
        solve(1);
    }
    public static int gcd(int a ,int b){
        while(b!=0){
            int t=b;
            b=a%b;
            a=t;
        }
        return a;
    }
    public static void solve(int testCases) throws Exception{
        int a=StdIn.readInt();
        int b=StdIn.readInt();
        int n=StdIn.readInt();
        int c=1;
        while(n>0){
            if(c%2==0){
              n-=gcd(n,b);
            }else{
              n-=gcd(n,a); 
            }
            c++;
        }
        
            StdOut.println(c%2);
    }

}

final class StdIn {

    private StdIn() { }

    private static Scanner scanner;
    
    private static final String CHARSET_NAME = "UTF-8";

    private static final Locale LOCALE = Locale.US;

    private static final Pattern WHITESPACE_PATTERN = Pattern.compile("\\p{javaWhitespace}+");

    private static final Pattern EMPTY_PATTERN = Pattern.compile("");

    private static final Pattern EVERYTHING_PATTERN = Pattern.compile("\\A");

    public static boolean isEmpty() {
        return !scanner.hasNext();
    }

    public static boolean hasNextLine() {
        return scanner.hasNextLine();
    }

    public static boolean hasNextChar() {
        scanner.useDelimiter(EMPTY_PATTERN);
        boolean result = scanner.hasNext();
        scanner.useDelimiter(WHITESPACE_PATTERN);
        return result;
    }

    public static String readLine() {
        String line;
        try                 { line = scanner.nextLine(); }
        catch (Exception e) { line = null;               }
        return line;
    }

    public static char readChar() {
        scanner.useDelimiter(EMPTY_PATTERN);
        String ch = scanner.next();
        assert (ch.length() == 1) : "Internal (Std)In.readChar() error!"
            + " Please contact the authors.";
        scanner.useDelimiter(WHITESPACE_PATTERN);
        return ch.charAt(0);
    }  


    public static String readAll() {
        if (!scanner.hasNextLine())
            return "";

        String result = scanner.useDelimiter(EVERYTHING_PATTERN).next();
        // not that important to reset delimeter, since now scanner is empty
        scanner.useDelimiter(WHITESPACE_PATTERN); // but let's do it anyway
        return result;
    }

    public static String readString() {
        return scanner.next();
    }

    public static int readInt() {
        return scanner.nextInt();
    }

    public static double readDouble() {
        return scanner.nextDouble();
    }

    public static float readFloat() {
        return scanner.nextFloat();
    }

    public static long readLong() {
        return scanner.nextLong();
    }
    
    public static short readShort() {
        return scanner.nextShort();
    }

    public static byte readByte() {
        return scanner.nextByte();
    }

    public static boolean readBoolean() {
        String s = readString();
        if (s.equalsIgnoreCase("true"))  return true;
        if (s.equalsIgnoreCase("false")) return false;
        if (s.equals("1"))               return true;
        if (s.equals("0"))               return false;
        throw new InputMismatchException();
    }

    public static String[] readAllStrings() {
        // we could use readAll.trim().split(), but that's not consistent
        // because trim() uses characters 0x00..0x20 as whitespace
        String[] tokens = WHITESPACE_PATTERN.split(readAll());
        if (tokens.length == 0 || tokens[0].length() > 0)
            return tokens;

        // don't include first token if it is leading whitespace
        String[] decapitokens = new String[tokens.length-1];
        for (int i = 0; i < tokens.length - 1; i++)
            decapitokens[i] = tokens[i+1];
        return decapitokens;
    }

    public static String[] readAllLines() {
        ArrayList<String> lines = new ArrayList<String>();
        while (hasNextLine()) {
            lines.add(readLine());
        }
        return lines.toArray(new String[0]);
    }

    public static int[] readAllInts() {
        String[] fields = readAllStrings();
        int[] vals = new int[fields.length];
        for (int i = 0; i < fields.length; i++)
            vals[i] = Integer.parseInt(fields[i]);
        return vals;
    }

    public static double[] readAllDoubles() {
        String[] fields = readAllStrings();
        double[] vals = new double[fields.length];
        for (int i = 0; i < fields.length; i++)
            vals[i] = Double.parseDouble(fields[i]);
        return vals;
    }
    
    static {
        resync();
    }

    private static void resync() {
        setScanner(new Scanner(new java.io.BufferedInputStream(System.in), CHARSET_NAME));
    }
    
    private static void setScanner(Scanner scanner) {
        StdIn.scanner = scanner;
        StdIn.scanner.useLocale(LOCALE);
    }

    public static int[] readInts() {
        return readAllInts();
    }

    public static double[] readDoubles() {
        return readAllDoubles();
    }

    public static String[] readStrings() {
        return readAllStrings();
    }

}
 
final class StdOut {

    private static final String CHARSET_NAME = "UTF-8";

    private static final Locale LOCALE = Locale.US;

    private static PrintWriter out;

    static {
        try {
            out = new PrintWriter(new OutputStreamWriter(System.out, CHARSET_NAME), true);
        }
        catch (UnsupportedEncodingException e) { System.out.println(e); }
    }

    private StdOut() { }

    public static void close() {
        out.close();
    }

    public static void println() {
        out.println();
    }

    public static void println(Object x) {
        out.println(x);
    }

    public static void println(boolean x) {
        out.println(x);
    }

    public static void println(char x) {
        out.println(x);
    }

    public static void println(double x) {
        out.println(x);
    }

    public static void println(float x) {
        out.println(x);
    }

    public static void println(int x) {
        out.println(x);
    }

    public static void println(long x) {
        out.println(x);
    }

    public static void println(short x) {
        out.println(x);
    }

    public static void println(byte x) {
        out.println(x);
    }

    public static void print() {
        out.flush();
    }

    public static void print(Object x) {
        out.print(x);
        out.flush();
    }

    public static void print(boolean x) {
        out.print(x);
        out.flush();
    }

    public static void print(char x) {
        out.print(x);
        out.flush();
    }

    public static void print(double x) {
        out.print(x);
        out.flush();
    }

    public static void print(float x) {
        out.print(x);
        out.flush();
    }

    public static void print(int x) {
        out.print(x);
        out.flush();
    }

    public static void print(long x) {
        out.print(x);
        out.flush();
    }

    public static void print(short x) {
        out.print(x);
        out.flush();
    }

    public static void print(byte x) {
        out.print(x);
        out.flush();
    }

    public static void printf(String format, Object... args) {
        out.printf(LOCALE, format, args);
        out.flush();
    }

    public static void printf(Locale locale, String format, Object... args) {
        out.printf(locale, format, args);
        out.flush();
    }

}