You are given three integers a, b and x. Your task is to construct a binary string s of length n = a + b such that there are exactly a zeroes, exactly b ones and exactly x indices i (where 1 ≤ i < n) such that s_i ≠ s_{i + 1}. It is guaranteed that the answer always exists.

For example, for the string "01010" there are four indices i such that 1 ≤ i < n and s_i ≠ s_{i + 1} (i = 1, 2, 3, 4). For the string "111001" there are two such indices i (i = 3, 5).

Recall that binary string is a non-empty sequence of characters where each character is either 0 or 1.

Input

The first line of the input contains three integers a, b and x (1 ≤ a, b ≤ 100, 1 ≤ x < a + b).

Output

Print only one string s, where s is any binary string satisfying conditions described above. It is guaranteed that the answer always exists.

Examples

Input

2 2 1


Output

1100


Input

3 3 3


Output

101100


Input

5 3 6


Output

01010100

Note

All possible answers for the first example: 

  * 1100; 
  * 0011. 



All possible answers for the second example: 

  * 110100; 
  * 101100; 
  * 110010; 
  * 100110; 
  * 011001; 
  * 001101; 
  * 010011; 
  * 001011. 
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.HashSet;
public class prog2{
    public static void main(String args[])throws IOException{
        InputReader sc = new InputReader(System.in);
        PrintWriter pw = new PrintWriter(System.out);
        
        int a = sc.nextInt(), b = sc.nextInt(), x = sc.nextInt();
        if(x%2 == 0){
            if(a>b){
                int c = a/((x/2)+1), d = b/(x/2);
                for(int i=0; i<(x/2); i++){
                    for(int j=0; j<c; j++)
                        pw.print("0");
                    for(int j=0; j<d; j++)
                        pw.print("1");
                }
                for(int j=0; j<b%(x/2); j++)
                    pw.print("1");
                for(int j=0; j<c+a%((x/2)+1); j++)
                    pw.print("0");
            }
            else{
                int c = b/((x/2)+1), d = a/(x/2);
                for(int i=0; i<(x/2); i++){
                    for(int j=0; j<c; j++)
                        pw.print("1");
                    for(int j=0; j<d; j++)
                        pw.print("0");
                }
                for(int j=0; j<a%(x/2); j++)
                    pw.print("0");
                for(int j=0; j<c+b%((x/2)+1); j++)
                    pw.print("1");
            }
        }
        else{
            if(a>b){
                int c = a/((x/2)+1), d = b/((x/2)+1);
                for(int i=0; i<x/2; i++){
                    for(int j=0; j<c; j++)
                        pw.print("0");
                    for(int j=0; j<d; j++)
                        pw.print("1");
                }
                for(int j=0; j<c+a%((x/2)+1); j++)
                    pw.print("0");
                for(int j=0; j<d+b%((x/2)+1); j++)
                    pw.print("1");
            }
            else{
                int c = b/((x/2)+1), d = a/((x/2)+1);
                for(int i=0; i<x/2; i++){
                    for(int j=0; j<c; j++)
                        pw.print("1");
                    for(int j=0; j<d; j++)
                        pw.print("0");
                }
                for(int j=0; j<c+b%((x/2)+1); j++)
                    pw.print("1");
                for(int j=0; j<d+a%((x/2)+1); j++)
                    pw.print("0");
            }
        }
        
        pw.flush();
        pw.close();
    }
    static class InputReader {
        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;
        private SpaceCharFilter filter;
 
        public InputReader(InputStream stream) {
            this.stream = stream;
        }
 
        public int snext() {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars) {
                curChar = 0;
                try {
                    snumChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }
 
        public int nextInt() {
            int c = snext();
            while (isSpaceChar(c)) {
                c = snext();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = snext();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
 
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
 
        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }
 
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
}