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.
/* 
 * UMANG PANCHAL
 * DAIICT
 */
import java.util.*;
import java.io.*;
import java.math.BigInteger;
public class Main
{
 
	static LinkedList<Integer> adj[];
	static ArrayList<Integer> adj1[];
	static int[] color,visited1;
	static boolean b[],visited[],possible;
	static int level[];
	static Map<Integer,HashSet<Integer>> s;
	static int totalnodes,colored;
	static int count[];
	static long sum[];
	static int nodes;
	static double ans=0;
	static long[] as=new long[10001];
	static long c1=0,c2=0;
	static int[] a,d,k;
	static int max=100000000;
	static long MOD = (long)1e9 + 7,sm=0,m=Long.MIN_VALUE;
	static boolean[] prime=new boolean[1000005];
	static int[] levl;
    static int[] eat;
   // static int n,m;
    static int price[];
    static int size[],res[],par[];
    //ind frog crab
static int result=0;
	// --------------------My Code Starts Here----------------------
	
	public static void main(String[] args) throws IOException
	{
		in=new InputReader(System.in);
		w=new PrintWriter(System.out);
  
		  int v1=ni(),v2=ni(),v3=ni(),v4=ni();
		  int l1=v1,u1=2*v1;
		  int l2=v2,u2=2*v2;
		  int l3=v3,u3=2*v3;
		  int l4=v4,u4=2*v4;
		  int x=0,y=0,z=0;
          x=u1;
          y=u2;
          if(u1<v4 || u2<v4 || 2*v4>=u1 || 2*v4>=u2)
        	  w.print(-1);
          else
          {
        	  if(u3<v4 || l3>2*v4)
        		  w.print(-1);
        	  else
        	  {
        		  if(l4>=l3 && l4<=u3)
        			  z=l4;
        		  else if(l3>=l4 && l3<=u4)
        			  z=l3;
        		  if(z<v3 || z>u3)
        			  w.print(-1);
        		  else
        		     w.print(x+"\n"+y+"\n"+z+"\n");
        		  
        	  }
          }
		  
		  /*
		if(u4>=u1 || u4>=u2)
			w.print(-1);
		else
		{
			if(u4<l1)
				x=u1;
			else
			    x=u4+1;
			if(u4<l2)
				y=l2;
			else
				y=u4+1;
			z=v3;
			if(u4<z || l4>z)
				w.print(-1);
			else
				w.println(x+"\n"+y+"\n"+z);
		}
		*/
		
		/* long n=nl(),m=nl(),k=nl();
	    String s=ns();
	    long sum=0;
	    for(int i=0;i<s.length();i++)
	    	sum+=s.charAt(i)-'a'+1;
	    long lb=n,ub=26*n;
	    long d=k-sum;
	    while(d<lb)
	    	d=d+m;
	    long ans=0;
	    while(d<ub)
	    {
	    	long p=nCrModp(d-1,n-1,MOD);
	    	long g=fact(n-1);
	    	long x=0;
	    	  for(int i=1;i<=Math.floor(d/26);i++)
	    	  {
	              long t=(d-i*26-1)%MOD;
	              for(long j=t-1;j>=d-i*26-n+1;j--)
	            	  t=(t*(i%MOD))%MOD;
	              t=t%MOD;
	              t=(t*(n%MOD))%MOD;
	              t=(t/g%MOD)%MOD;
	              g=(g*((i+1)%MOD)%MOD);
	              g=(g/((n-i)%MOD))%MOD;
	              if(i%2==1)
	            	  x=(x%MOD+g%MOD)%MOD;
	              else
	            	  x=(x%MOD-g%MOD+MOD)%MOD;
	              
	    	  }
	    	  long a=(p%MOD-x%MOD)%MOD;
	    	  ans=(ans%MOD+a%MOD)%MOD;
	    	  d+=m;
	    }
	   w.println(ans%MOD);
	    */
       w.close();
    }
	
	public static long fact(long n)
	{
		long p=n%MOD;
		for(long i=n-1;i>=1;i--)
			p=(p*(i%MOD))%MOD;
		return p%MOD;
	}
	public static long nCrModp(long n, long r, long p)
	{
	    
	    long[] C=new long[(int)r+1];
	    
	 
	    C[0] = 1; 
	    
	    for (long i = 1; i <= n; i++)
	    {
	        
	        for (long j = Math.min(i, r); j > 0; j--)
	 
	            
	            C[(int)j] = (C[(int)j] + C[(int)(j-1)])%p;
	    }
	    return C[(int)r];
	}
	public static long nCr(long n, long r)
	{
		long x=1;
		for(long i=n;i>=n-r+1;i--)
			x=((x)*(i));
		for(long i=r;i>=1;i--)
			x=((x)/(i));
		
		return x%MOD;
	}
	public static long nCrModpDP(long n, long r, long p)
	{
	
	    long[] C=new long[(int)r+1];
	 
	    C[0] = 1; 
	 
	 
	    for (long i = 1; i <= n; i++)
	    {
	        for (int j = (int)Math.min(i, r); j > 0; j--)
	           C[j] = (C[j] + C[j-1])%p;
	    }
	    return C[(int)r];
	}

	public static long nCrModpLucas(long n,long r, long p)
	{
	  
	   if (r==0)
	      return 1;
	 
	   long ni = n%p, ri = r%p;
	
	   return (nCrModpLucas(n/p,r/p, p) * nCrModpDP(ni,ri, p)) % p;  
	}
	
	 public static void buildgraph(int n){
         adj=new LinkedList[n+1];
         visited=new boolean[n+1];
         levl=new int[n+1];
         par=new int[n+1];
         for(int i=0;i<=n;i++){
             adj[i]=new LinkedList<Integer>();
         
         }


     }
	public static int getSum(long BITree[], int index)
	{
	    int sum = 0;
	    
	    while (index > 0)
	    {
	        sum += BITree[index];
	        index -= index & (-index);
	    }
	    return sum;
	}
	
	public static long[] updateBIT(long BITree[], int n, int index, int val)
	{
	    while (index <= n)
	    {
	       BITree[index] += val;
	       index += index & (-index);
	    }
	    return BITree;
	}
	

	
	public static boolean isPrime(int n)
	{
	    // Corner cases
	    if (n <= 1)  return false;
	    if (n <= 3)  return true;
	 
	    // This is checked so that we can skip 
	    // middle five numbers in below loop
	    if (n%2 == 0 || n%3 == 0)
	    	return false;
	 
	    for (int i=5; i*i<=n; i=i+6)
	        if (n%i == 0 || n%(i+2) == 0)
	           return false;
	 
	    return true;
	}
	
	// --------------------My Code Ends Here------------------------
	
	public static String ns()
	{
		return in.nextLine();
	}
	public static int ni()
	{
		return in.nextInt();
	}
	public static long nl()
	{
		return in.nextLong();
	}
	public static int[] na(int n)
	{
		a=new int[n];
		for(int i=0;i<n;i++)
		a[i]=ni();
		return a;
	}
	public static void sieveOfEratosthenes()
	    {
	       int n=prime.length;
	        for(int i=0;i<n;i++)
	            prime[i] = true;
	         
	        for(int p = 2; p*p <=n; p++)
	        {
	            if(prime[p] == true)
	            {
	                for(int i = p*2; i <n; i += p)
	                    prime[i] = false;
	            }
	        }
	    }

	public static boolean printDivisors(long n)
    {
		long ans=0;
        for (int i=1; i<=Math.sqrt(n); i++)
        {
            if (n%i==0)
            {
                if (n/i == i)
                    ans++;
                else 
                {
                	ans=ans+2;
                }
            }
            if(ans>3)
            	break;
        }
        if(ans==3)
        	return true;
        else
        	return false;
    }

  public static void dfs(int i)
  {
	  visited[i]=true;
	  for(int j:adj[i])
	  {
		  if(!visited[j])
			  {
			  dfs(j);
			  nodes++;
			  }
	  }
	  
  }
  public static String rev(String s)
	{
		StringBuilder sb=new StringBuilder(s);
		sb.reverse();
		return sb.toString();
	}
	static long lcm(long a, long b)
	{
	    return a * (b / gcd(a, b));
	}
	static long gcd(long a, long b)
	{
	    while (b > 0)
	    {
	        long temp = b;
	        b = a % b; // % is remainder
	        a = temp;
	    }
	    return a;
	}
	static InputReader in;
	static PrintWriter w;
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 long nextLong() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  int sgn = 1;
  if (c == '-')
  {
    sgn = -1;
    c = snext();
  }
  long 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 String readString() 
{
  int c = snext();
  while (isSpaceChar(c)) 
  {
    c = snext();
  }
  StringBuilder res = new StringBuilder();
  do
  {
    res.appendCodePoint(c);
    c = snext();
  }
  while (!isSpaceChar(c));
  return res.toString();
}
 
public String nextLine() 
{
  int c = snext();
  while (isSpaceChar(c))
    c = snext();
  StringBuilder res = new StringBuilder();
  do
  {
    res.appendCodePoint(c);
    c = snext();
  }
  while (!isEndOfLine(c));
  return res.toString();
}
 
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);
}
}
	
}