A family consisting of father bear, mother bear and son bear owns three cars. Father bear can climb into the largest car and he likes it. Also, mother bear can climb into the middle car and she likes it. Moreover, son bear can climb into the smallest car and he likes it. It's known that the largest car is strictly larger than the middle car, and the middle car is strictly larger than the smallest car. 

Masha came to test these cars. She could climb into all cars, but she liked only the smallest car. 

It's known that a character with size a can climb into some car with size b if and only if a ≤ b, he or she likes it if and only if he can climb into this car and 2a ≥ b.

You are given sizes of bears and Masha. Find out some possible integer non-negative sizes of cars.

Input

You are given four integers V1, V2, V3, Vm(1 ≤ Vi ≤ 100) — sizes of father bear, mother bear, son bear and Masha, respectively. It's guaranteed that V1 > V2 > V3.

Output

Output three integers — sizes of father bear's car, mother bear's car and son bear's car, respectively.

If there are multiple possible solutions, print any.

If there is no solution, print "-1" (without quotes).

Examples

Input

50 30 10 10


Output

50
30
10


Input

100 50 10 21


Output

-1

Note

In first test case all conditions for cars' sizes are satisfied.

In second test case there is no answer, because Masha should be able to climb into smallest car (so size of smallest car in not less than 21), but son bear should like it, so maximum possible size of it is 20.
import java.util.*;
import java.io.*;
import java.math.*;

public class a {


    public static void main(String[] args) throws IOException {
        FastScanner in = new FastScanner(System.in);
        PrintWriter out = new PrintWriter(System.out);
        
        int a = in.nextInt();
        int b = in.nextInt();
        int c = in.nextInt();
        
        int d = in.nextInt();
        
        for (int ca = a; ca <= a * 2; ca++) {
            for (int cb = b; cb <= b * 2; cb++) {
                if (ca <= cb) continue;
                for (int cc = c; cc <= c * 2; cc++) {
                    if (cb <= cc) continue;
                    boolean fitA = d <= ca && d * 2 >= ca;
                    boolean fitB = d <= cb && d * 2 >= cb;
                    boolean fitC = d <= cc && d * 2 >= cc;
                    if (fitC && !fitA && !fitB) {
                        out.println(ca);
                        out.println(cb);
                        out.println(cc);
                        out.close();
                        return;
                    }
                }
            }
        }
        
        
        
        out.println(-1);
        
        
        out.close();
    }


    static Random rand = new Random();
    static void sort(int[] a) {
        int n = a.length;
        for (int i = a.length - 1; i > 0; i--) {
            int j = rand.nextInt(i + 1);
            int tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }
        Arrays.sort(a);
    }
    static void sort(long[] a) {
        int n = a.length;
        for (int i = a.length - 1; i > 0; i--) {
            int j = rand.nextInt(i + 1);
            long tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }
        Arrays.sort(a);
    }
    static void sort(double[] a) {
        int n = a.length;
        for (int i = a.length - 1; i > 0; i--) {
            int j = rand.nextInt(i + 1);
            double tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }
        Arrays.sort(a);
    }
    static long gcd(long a, long b) { return b == 0 ? a : gcd(b, a % b); }
    static long lcm(long a, long b) { return a / gcd(a, b) * b; }
    static long[] eEuclid(long a, long b) {
        if (b == 0) return new long[] { a, 1, 0 };
        long[] ans = eEuclid(b, a % b);
        long temp = ans[1] - ans[2] * (a / b);
        ans[1] = ans[2];  ans[2] = temp;
        return ans;
    }
    static long modInverse(long a, long m) {
        return ((eEuclid(a, m)[1] % m) + m) % m;
    }
    static class IntList {
        static int[] EMPTY = {};
        int[] a = EMPTY;
        int n = 0;
        void add(int v) {
            if (n >= a.length)
                a = Arrays.copyOf(a, (n << 2) + 8);
            a[n++] = v;
        }
        int get(int idx) {
            return a[idx];
        }
        int size() {
            return n;
        }
    }
    static class DisjointSet {
        int[] s, r;	
	public DisjointSet(int n) {
            s = new int[n]; r = new int[n];
            for (int i = 0; i < n; i++) s[i] = i;
        }	
        public int find(int i) { return s[i] == i ? i : (s[i] = find(s[i])); }
	public void union(int a, int b) {
            if(r[a = find(a)] == r[b = find(b)]) r[a]++;
            if(r[a] >= r[b]) s[b] = a; else s[a] = b;
        }
    }
    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;
        public FastScanner(InputStream i) {
            br = new BufferedReader(new InputStreamReader(i));
            st = new StringTokenizer("");
        }
        public String next() throws IOException {
            if(st.hasMoreTokens())
                return st.nextToken();
            else
                st = new StringTokenizer(br.readLine());
            return next();
        }
        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
        public long nextLong() throws IOException {
            return Long.parseLong(next());
        }
        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
        public int[] nextOffsetIntArray(int n) throws IOException {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextInt() - 1;
            return arr;
        }
        public int[] nextIntArray(int n) throws IOException {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextInt();
            return arr;
        }
        public int[][] nextIntArray(int n, int m) throws IOException {
            int[][] arr = new int[n][m];
            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++)
                    arr[i][j] = nextInt();
            return arr;
        }
        public long[] nextLongArray(int n) throws IOException {
            long[] arr = new long[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextLong();
            return arr;
        }
        public long[][] nextLongArray(int n, int m) throws IOException {
            long[][] arr = new long[n][m];
            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++)
                    arr[i][j] = nextLong();
            return arr;
        }
        public double[] nextDoubleArray(int n) throws IOException {
            double[] arr = new double[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextDouble();
            return arr;
        }
        public double[][] nextDoubleArray(int n, int m) throws IOException {
            double[][] arr = new double[n][m];
            for (int i = 0; i < n; i++)
                for (int j = 0; j < m; j++)
                    arr[i][j] = nextDouble();
            return arr;
        }
        public char[][] nextCharArray(int n, int m) throws IOException {
            char[][] arr = new char[n][];
            for (int i = 0; i < n; i++)
                arr[i] = next().toCharArray();
            return arr;
        }
    }
}
