Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains x potatoes) Valera lost. Valera remembers that the total amount of potatoes (x + y) in the two bags, firstly, was not gerater than n, and, secondly, was divisible by k.

Help Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order.

Input

The first line of input contains three integers y, k, n (1 ≤ y, k, n ≤ 109; <image> ≤ 105).

Output

Print the list of whitespace-separated integers — all possible values of x in ascending order. You should print each possible value of x exactly once.

If there are no such values of x print a single integer -1.

Examples

Input

10 1 10


Output

-1


Input

10 6 40


Output

2 8 14 20 26 
import java.io.BufferedReader;
import java.io.DataInputStream;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.HashSet;
import java.util.InputMismatchException;
import java.util.StringTokenizer;
 
public class Main{
 
    static class InputReader {
 
        final private int BUFFER_SIZE = 1 << 17;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;
 
        public InputReader(InputStream in) {
            din = new DataInputStream(in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }
 
        public byte next() {
            try {
                return read();
            } catch (Exception e) {
                throw new InputMismatchException();
            }
        }
 
        public String nextString() {
            StringBuilder sb = new StringBuilder("");
            byte c = next();
            while (c <= ' ') {
                c = next();
            }
            do {
                sb.append((char) c);
                c = next();
            } while (c > ' ');
            return sb.toString();
        }
 
        public int nextInt() {
            int ret = 0;
            byte c = next();
            while (c <= ' ') {
                c = next();
            }
            boolean neg = c == '-';
            if (neg) {
                c = next();
            }
            do {
                ret = (ret << 3) + (ret << 1) + c - '0';
                c = next();
            } while (c > ' ');
            if (neg) {
                return -ret;
            }
            return ret;
        }
 
        private void fillBuffer() {
            try {
                bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (bytesRead == -1) {
                buffer[0] = -1;
            }
        }
 
        private byte read() {
            if (bufferPointer == bytesRead) {
                fillBuffer();
            }
            return buffer[bufferPointer++];
        }
    }
   
    public static void main(String arg[]) throws IOException {
   
       InputReader r=new InputReader(System.in);
      //  BufferedReader r=new BufferedReader(new FileReader("testcase.txt"));
      // BufferedReader r=new BufferedReader(new InputStreamReader(System.in));
PrintWriter p=new PrintWriter(System.out,false);
int y=r.nextInt();
int k=r.nextInt();
int n=r.nextInt();
StringBuffer s=new StringBuffer("");
int prev=0;
prev=k-(y%k);
while(prev+y<=n)
{
    
    s.append(prev+" ");
    prev+=k;
}
if(s.length()==0)
    p.print(-1);
else
    p.print(s);

 p.flush();
 
    }}