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.*;
import java.util.*;

public class A {

    public static void main(String[] args) throws Exception {

        FastScanner sc = new FastScanner();
        FastWriter writer = new FastWriter();
        int y = sc.nextInt(), k = sc.nextInt(), n = sc.nextInt();
        int x = -y % k;
        if(x <= 0)
            x += k;
        List<Integer> L = new ArrayList<>();
        while(x >= 1 && x <= n-y) {
            L.add(x);
            x += k;
        }
        if(L.size() == 0) {
            println(-1);
            return;
        }
        println(L);
    }

    static final Random random = new Random();

    static class FastScanner {
        private InputStream sin = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        public FastScanner(){}
        public FastScanner(String filename) throws FileNotFoundException {
            File file = new File(filename);
            sin = new FileInputStream(file);
        }
        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            }else{
                ptr = 0;
                try {
                    buflen = sin.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            if (!hasNext()) throw new NoSuchElementException();
            long n = 0;
            boolean minus = false;
            int b = readByte();
            if (b == '-') {
                minus = true;
                b = readByte();
            }
            if (b < '0' || '9' < b) {
                throw new NumberFormatException();
            }
            while(true){
                if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                }else if(b == -1 || !isPrintableChar(b) || b == ':'){
                    return minus ? -n : n;
                }else{
                    throw new NumberFormatException();
                }
                b = readByte();
            }
        }
        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
            return (int) nl;
        }
        public double nextDouble() { return Double.parseDouble(next());}
        public long[] nextLongArray(final int n){
            final long[] a = new long[n];
            for (int i = 0; i < n; i++)
                a[i] = nextLong();
            return a;
        }
        public int[] nextIntArray(final int n){
            final int[] a = new int[n];
            for (int i = 0; i < n; i++)
                a[i] = nextInt();
            return a;
        }
        public double[] nextDoubleArray(final int n){
            final double[] a = new double[n];
            for (int i = 0; i < n; i++)
                a[i] = nextDouble();
            return a;
        }

        public List<Integer>[] adjacencyList(int nodes, int edges) {
            return adjacencyList(nodes, edges, false);
        }
        public List<Integer>[] adjacencyList(int nodes, int edges, boolean isDirected) {

            List<Integer>[] adj = new ArrayList[nodes + 1];
            Arrays.setAll(adj, (i) -> new ArrayList<>());
            for (int i = 0; i < edges; i++) {
                int a = nextInt(), b = nextInt();
                adj[a].add(b);
                if (!isDirected) adj[b].add(a);
            }
            return adj;
        }
    }

    static class FastWriter {

        BufferedWriter writer = new BufferedWriter(new OutputStreamWriter(System.out));
        void print(int n) throws Exception { writer.write(n + ""); }
        void println(int n) throws Exception { writer.write(n + "\n"); }

        void print(long n) throws Exception { writer.write(n + ""); }
        void println(long n) throws Exception { writer.write(n + "\n"); }

        void print(String s) throws Exception { writer.write(s); }
        void println(String s) throws Exception { writer.write(s); writer.newLine(); }

        void println(int ar[]) throws Exception { for(int e : ar) writer.write(e + " "); writer.newLine(); }
        void println(long ar[]) throws Exception { for(long e : ar) writer.write(e + " "); writer.newLine(); }
        void println(double ar[]) throws Exception { for(double e : ar) writer.write(e + " "); writer.newLine(); }
        void close() throws Exception { writer.close(); }
        <T> void println(List<T> L) throws Exception { for(T o : L) writer.write(o + " "); writer.newLine(); }
    }

    static int findDistance(List<Integer> G[], int nodes, int src, int dst) {

        LinkedList<Integer> queue = new LinkedList<>();
        int dist[] = new int[nodes + 1];
        int ans = -1;
        dist[src] = 0;
        queue.add(src);
        while(queue.size() > 0) {
            int u = queue.poll();
            if(u == dst) {
                ans = dist[u];
            }
            for(int v : G[u]) {
                if(dist[v] >= 0)
                    continue;
                queue.add(v);
                dist[v] = dist[u] + 1;
            }
        }
        return ans;
    }

    static void sort(List<Integer> A) {
        shuffleList(A);
        Collections.sort(A);
    }

    static void shuffleList(List<Integer> A) {
        int n = A.size();
        for(int i = 0; i < n; i++) {
            int tmp = A.get(i);
            int randomPos = i + random.nextInt(n-i);
            A.set(i, A.get(randomPos));
            A.set(randomPos, tmp);
        }
    }

    static void sort(char A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static void sort(int A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static void sort(long A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static void sort(double A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static <T> void sort(T[] A) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static <T> void shuffleArray(T[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            T tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(char[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            char tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(int[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            int tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(long[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            long tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(double[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            double tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }

    static int[] subArray(int A[], int x, int y) {
        int B[] = new int[y - x + 1];
        for(int i = x; i <= y; i++)
            B[i-x] = A[i];
        return B;
    }

    static int[] toArray(List<Integer> L) {
        return L.stream().mapToInt(x -> x).toArray();
    }

    static void println(int[] A) {
        for(int e: A) System.out.print(e + " ");
        System.out.println();
    }

    static void println(long[] A) {
        for(long e: A) System.out.print(e + " ");
        System.out.println();
    }

    static void println(List arr) {
        for(Object e: arr) System.out.print(e + " ");
        System.out.println();
    }

    static <T> void println(T A[]) {

        for(T i : A)
            System.out.print(i + " ");
        System.out.println();
    }

    static void print(String s) {
        System.out.print(s);
    }
    static void println(long n) {
        System.out.println(n);
    }
    static void println(double n) {
        System.out.println(n);
    }
    static void println(int n) {
        System.out.println(n);
    }
    static void println(Object s) { System.out.println(s); }

    static List<Integer> toList(int ar[]) {
        List<Integer> list = new ArrayList<>();
        for(int x : ar) list.add(x);
        return list;
    }

    static List<Long> toList(long ar[]) {
        List<Long> list = new ArrayList<>();
        for(long x : ar) list.add(x);
        return list;
    }

    static List<Double> toList(double ar[]) {
        List<Double> list = new ArrayList<>();
        for(double x : ar) list.add(x);
        return list;
    }

    static long gcd(long a, long b) {
        if(b == 0)
            return a;
        return gcd(b, a % b);
    }

    private static int abs(int a){  return (a>=0) ? a: -a;  }
    private static int min(int... ins){ int min = ins[0]; for(int x : ins) min = Math.min(min, x); return min;  }
    private static int max(int... ins){ int max = ins[0]; for(int x : ins) max = Math.max(max, x); return max;  }
    private static long sum(int... ins){ long s = 0; for(int x : ins) s += x; return s; }
    private static long abs(long a){ return (a>=0) ? a: -a; }
    private static long min(long... ins){ long min = ins[0]; for(long x : ins) min = Math.min(min, x); return min;  }
    private static long max(long... ins){ long max = ins[0]; for(long x : ins) max = Math.max(max, x); return max; }
    private static long sum(long... ins){ long s = 0; for(long x : ins) s += x; return s; }
    private static double abs(double a){ return (a>=0) ? a: -a; }
    private static double min(double... ins){ double min = ins[0]; for(double x : ins) min = Math.min(min, x); return min;  }
    private static double max(double... ins){ double max = ins[0]; for(double x : ins) max = Math.max(max, x); return max;  }
    private static double sum(double... ins){ double s = 0; for(double x : ins) s += x; return s; }

    private static class Pair implements Comparable<Pair> {
        int x, y;
        Pair(int x, int y) { this.x = x; this.y = y; }
        Pair() {}

        @Override
        public int compareTo(Pair other) {
            return x == other.x ? y - other.y : x - other.x;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;
            Pair pair = (Pair) o;
            return x == pair.x &&
                    y == pair.y;
        }

        @Override
        public int hashCode() {
            return Objects.hash(x, y);
        }

        @Override
        public String toString() {
            return String.format("(%d, %d)", x, y);
        }
    }

    static int pow(long n, int p, int mod) {
        if(p == 0)
            return 1;
        long x = pow(n, p/2, mod);
        x = x * x % mod;
        return (int) ( p % 2 == 0 ? x : x * n % mod );
    }

    static long inv(int x, int m) {
        return pow(x, m - 2, m);
    }

    static int lowerBound(int ar[], int L, int R, int val) {
        if(val < ar[L] || val > ar[R])
            return -1;
        while(L <= R) {
            int mid = (L + R) / 2;
            if(ar[mid] >= val)
                R = mid - 1;
            else
                L = mid + 1;
        }
        return ar[L] == val ? L : -1;
    }

    static int upperBound(int ar[], int L, int R, int val) {
        if(val < ar[L] || val > ar[R])
            return -1;
        while(L <= R) {
            int mid = (L + R) / 2;
            if(ar[mid] > val)
                R = mid - 1;
            else
                L = mid + 1;
        }
        return ar[R] == val ? R : -1;
    }
}

