There are n students who have taken part in an olympiad. Now it's time to award the students.

Some of them will receive diplomas, some wiil get certificates, and others won't receive anything. Students with diplomas and certificates are called winners. But there are some rules of counting the number of diplomas and certificates. The number of certificates must be exactly k times greater than the number of diplomas. The number of winners must not be greater than half of the number of all students (i.e. not be greater than half of n). It's possible that there are no winners.

You have to identify the maximum possible number of winners, according to these rules. Also for this case you have to calculate the number of students with diplomas, the number of students with certificates and the number of students who are not winners.

Input

The first (and the only) line of input contains two integers n and k (1 ≤ n, k ≤ 1012), where n is the number of students and k is the ratio between the number of certificates and the number of diplomas.

Output

Output three numbers: the number of students with diplomas, the number of students with certificates and the number of students who are not winners in case when the number of winners is maximum possible.

It's possible that there are no winners.

Examples

Input

18 2


Output

3 6 9


Input

9 10


Output

0 0 9


Input

1000000000000 5


Output

83333333333 416666666665 500000000002


Input

1000000000000 499999999999


Output

1 499999999999 500000000000
import java.util.*;
import java.io.*;
import java.math.BigInteger;
 
public class Tester
{
	public static long mod=(long)(1e9+7);
	public static long xx,yy,d;
	static int minPrime[];
	static boolean isPrime[];
	
	public static void main(String[] args) throws IOException 
	{
		InputReader s=new InputReader(System.in);
        OutputStream outputStream = System.out;
        PrintWriter out=new PrintWriter(outputStream);
        
        long n = s.nextLong();
        long k = s.nextLong();
        
        long nd = n/(2*(k+1));
        long nc = k*nd;
        long x = n - (nc+nd);
        
        out.println(nd+" "+nc+" "+x);
        
        
        out.close();
	}  
	
	static int checkSquareRoot(int x)
	{
		int root = (int)Math.sqrt(x);
		
		if(root*root == x)
			return root;
		else
			return -1;
	}
	
	static void modifiedSieve(int n)
	{
		minPrime = new int[n+1];
		
		for(int i=2; i<=Math.sqrt(n); i++)
		{
			if(minPrime[i] == 0)
			{
				for(int j=i*i; j<=n; j=j+i)
				{
					if(minPrime[j] == 0)
						minPrime[j] = i;
				}
			}
		}
		
		for(int i=2; i<=n; i++)
		{
			if(minPrime[i] == 0)
				minPrime[i] = i;
		}
		
	}
	
	static void Sieve(int n)
	{
		isPrime = new boolean[n+1];
		Arrays.fill(isPrime, true);
		
		isPrime[0]=false;
		isPrime[1]=false;
		
		for(int i=2; i<=Math.sqrt(n); i++)
		{
			if(isPrime[i])
			{
				for(int j=i*i; j<=n; j=j+i)
					isPrime[j]=false;
			}
		}
		
	}
	
	static void extendedEuclid(long A, long B)
	{
		if(B == 0) {
	        d = A;
	        xx = 1;
	        yy = 0;
	    }
	    else {
	        extendedEuclid(B, A%B);
	        long temp = xx;
	        xx = yy;
	        yy = temp - (A/B)*yy;
	    }
	}
	
	static long gcd(long a,long b)
	{
		if(b==0)
			return a;
		
		return gcd(b,a%b);
	}
	
	static long modulo(long x,long y,long p)	
	{
		 long res = 1;
		 x = x % p;  
		 
	    while (y > 0)
	    {
	        if (y%2==1)
	            res = (res*x) % p;
	 
	        y = y>>1;
	        x = (x*x) % p;  
	    }
	    return res;
	}
	
	public static int firstOccurence(int a[], int key)
	{
		int low = 0;
		int high = a.length-1;
		boolean found = false;
		
		while(low <= high)
		{
			int mid = low + (high - low)/2;
			
			if(key == a[mid])
				found = true;
			
			if(key <= a[mid])
			{
				high = mid - 1;
			}
			else if(key > a[mid])
			{
				low = mid + 1;
			}
		}
		
		if(found)
			return low;
		else
			return -1;
	}
	
	public static int lastOccurence(int a[], int key)
	{
		int low = 0;
		int high = a.length-1;
		boolean found = false;
		
		while(low <= high)
		{
			int mid = low + (high - low)/2;
			
			if(key == a[mid])
				found = true;
			
			if(key >= a[mid])
			{
				low = mid + 1;
			}
			else if(key < a[mid])
			{
				high = mid - 1;
			}
		}
		
		if(found)
			return high;
		else
			return -1;
	}
	
	public static void debug(Object... o)
	{
		System.out.println(Arrays.deepToString(o));
	}
	
	static long exp(long a, long b)
	{
		if(b==0)
			return 1;
		if(b==1)
			return a;
		if(b==2)
			return a*a;
 
		if(b%2==0)
			return exp(exp(a,b/2),2);
		else
			return a*exp(exp(a,(b-1)/2),2);
	}
 
	static class Pair implements Comparable<Pair>
	{
		int x,y;
		Pair(int ii, int cc)
		{
			x=ii;
			y=cc;
		}
		
		public int compareTo(Pair o) 
		{
			if(Long.compare(this.x, o.x) != 0)
				return Long.compare(this.x, o.x);
			else
				return Long.compare(this.y, o.y);
		}
		
		public int hashCode() {
			int hu = (int) (x ^ (x >>> 32));
			int hv = (int) (y ^ (y >>> 32));
			return 31 * hu + hv;
		}
 
		public boolean equals(Object o) {
			Pair other = (Pair) o;
			return x == other.x && y == other.y;
		}
		
		public String toString() {
			return "[x=" + x + ", y=" + y + "]";
		}
		
	}
 
    static final class InputReader{
        private final InputStream stream;
        private final byte[] buf=new byte[1024];
        private int curChar;
        private int Chars;
        public InputReader(InputStream stream){this.stream=stream;}
        private int read()throws IOException{
            if(curChar>=Chars){
                curChar=0;
                Chars=stream.read(buf);
                if(Chars<=0)
                    return -1;
            }
            return buf[curChar++];
        }
        public final int nextInt()throws IOException{return (int)nextLong();}
        public final long nextLong()throws IOException{
            int c=read();
            while(isSpaceChar(c)){
                c=read();
                if(c==-1) throw new IOException();
            }
            boolean negative=false;
            if(c=='-'){
                negative=true;
                c=read();
            }
            long res=0;
            do{
                if(c<'0'||c>'9')throw new InputMismatchException();
                res*=10;
                res+=(c-'0');
                c=read();
            }while(!isSpaceChar(c));
            return negative?(-res):(res);
        }
        public final int[] nextIntBrray(int size)throws IOException{
            int[] arr=new int[size];
            for(int i=0;i<size;i++)arr[i]=nextInt();
            return arr;
        }
        public final String nextString()throws IOException{
            int c=read();
            while(isSpaceChar(c))c=read();
            StringBuilder res=new StringBuilder();
            do{
                res.append((char)c);
                c=read();
            }while(!isSpaceChar(c));
            return res.toString();
        }
        public final String nextLine()throws IOException{
            int c=read();
            while(isSpaceChar(c))c=read();
            StringBuilder res=new StringBuilder();
            do{
                res.append((char)c);
                c=read();
            }while(c!='\n' && c!=-1);
            return res.toString();
        }
        private boolean isSpaceChar(int c)
        {
            return c==' '||c=='\n'||c=='\r'||c=='\t'||c==-1;
        }
    }
 
} 