Daenerys Targaryen has an army consisting of k groups of soldiers, the i-th group contains ai soldiers. She wants to bring her army to the other side of the sea to get the Iron Throne. She has recently bought an airplane to carry her army through the sea. The airplane has n rows, each of them has 8 seats. We call two seats neighbor, if they are in the same row and in seats {1, 2}, {3, 4}, {4, 5}, {5, 6} or {7, 8}.

<image> A row in the airplane

Daenerys Targaryen wants to place her army in the plane so that there are no two soldiers from different groups sitting on neighboring seats.

Your task is to determine if there is a possible arranging of her army in the airplane such that the condition above is satisfied.

Input

The first line contains two integers n and k (1 ≤ n ≤ 10000, 1 ≤ k ≤ 100) — the number of rows and the number of groups of soldiers, respectively.

The second line contains k integers a1, a2, a3, ..., ak (1 ≤ ai ≤ 10000), where ai denotes the number of soldiers in the i-th group.

It is guaranteed that a1 + a2 + ... + ak ≤ 8·n.

Output

If we can place the soldiers in the airplane print "YES" (without quotes). Otherwise print "NO" (without quotes).

You can choose the case (lower or upper) for each letter arbitrary.

Examples

Input

2 2
5 8


Output

YES


Input

1 2
7 1


Output

NO


Input

1 2
4 4


Output

YES


Input

1 4
2 2 1 2


Output

YES

Note

In the first sample, Daenerys can place the soldiers like in the figure below:

<image>

In the second sample, there is no way to place the soldiers in the plane since the second group soldier will always have a seat neighboring to someone from the first group.

In the third example Daenerys can place the first group on seats (1, 2, 7, 8), and the second group an all the remaining seats.

In the fourth example she can place the first two groups on seats (1, 2) and (7, 8), the third group on seats (3), and the fourth group on seats (5, 6).
import java.util.*;
import java.io.*;
import java.math.BigInteger;

/**
 *
 * @author usquare
 */

public class ProblemB {

    static long mod = (int) (1e9+7);
    static InputReader in;
    static PrintWriter out;
    
    static void solve() {

        in = new InputReader(System.in);
        out = new PrintWriter(System.out);  
        
        int n = in.nextInt();
        int k = in.nextInt();
        int[] cnt = new int[4];
        int x = n;
        int y = 2 * n;
        
        for(int i = 0; i < k; i++){
            int a = in.nextInt();
            while(x > 0 && a >= 4){
                a -= 4;
                x --;
            }
            if(x == 0){
                while(a >= 3){
                    y -= 2;
                    a -= min(a,4);
                }
            }
            cnt[a]++;
        }
        cnt[0] = 0;
        
        while(cnt[3] > 0 && x > 0){
            cnt[3]--;
            x--;
        }
        cnt[2] += cnt[3];
        cnt[1] += cnt[3];
        cnt[3] = 0;
        
        if(x > 0){
            if(cnt[1] >= cnt[2]){
                if(cnt[2] <= x){
                    x -= cnt[2];
                    cnt[1] -= cnt[2];
                    cnt[2] = 0;
                    if(x > 0){
                        cnt[1] -= min(2 * x, cnt[1]);
                        x = 0;
                    }
                }
                else{
                    cnt[2] -= x;
                    cnt[1] -= x;
                    x = 0;
                }
            }
            else{
                if(cnt[1] <= x){
                    x -= cnt[1];
                    cnt[2] -= cnt[1];
                    cnt[1] = 0;
                    if(x > 0){
                        cnt[2] -= min(x + x / 2, cnt[2]);
                        x = 0;
                    }
                }
                else{
                    cnt[1] -= x;
                    cnt[2] -= x;
                    x = 0;
                }
            }
        }
        //debug(cnt,x, y);
        if(y > 0){
            if(cnt[1] + cnt[2] <= y){
                y = 0;
                cnt[1] = cnt[2] = 0;
            }
        }

        out.println(cnt[0] ==0 && cnt[1] == 0 && cnt[2] == 0 && cnt[3] == 0 && y >= 0? "YES" : "NO");
        out.close();

    }

    public static void main(String[] args) {

        new Thread(null,new Runnable() {
            @Override
            public void run() {
                try{
                    solve();
                }
                catch(Exception e){
                    e.printStackTrace();
                }
            }
        },"1",1<<26).start();
    }

    static class Pair implements Comparable<Pair>{

        int x,i;
        
	Pair (int x,int i){
		this.x = x;
		this.i = i;
	}
        
	public int compareTo(Pair o) {
		if(this.x!=o.x)
                    return Long.compare(this.x,o.x);
		else
                    return Integer.compare(this.i,o.i);
		//return 0;
	}

        public boolean equals(Object o) {
            if (o instanceof Pair) {
                Pair p = (Pair)o;
                return p.x == x && p.i==i;
            }
            return false;
        }

        @Override
        public String toString() {
            return x + " "+ i;
        }
        
    
    } 


    static class Merge {

        public static void sort(int inputArr[]) {
            int length = inputArr.length;
            doMergeSort(inputArr,0, length - 1);
        }

        private static void doMergeSort(int[] arr,int lowerIndex, int higherIndex) {        
            if (lowerIndex < higherIndex) {
                int middle = lowerIndex + (higherIndex - lowerIndex) / 2;
                doMergeSort(arr,lowerIndex, middle);
                doMergeSort(arr,middle + 1, higherIndex);
                mergeParts(arr,lowerIndex, middle, higherIndex);
            }
        }

        private static void mergeParts(int[]array,int lowerIndex, int middle, int higherIndex) {
            int[] temp=new int[higherIndex-lowerIndex+1];
            for (int i = lowerIndex; i <= higherIndex; i++) {
                temp[i-lowerIndex] = array[i];
            }
            int i = lowerIndex;
            int j = middle + 1;
            int k = lowerIndex;
            while (i <= middle && j <= higherIndex) {
                if (temp[i-lowerIndex] < temp[j-lowerIndex]) {
                    array[k] = temp[i-lowerIndex];
                    i++;
                } else {
                    array[k] = temp[j-lowerIndex];
                    j++;
                }
                k++;
            }
            while (i <= middle) {
                array[k] = temp[i-lowerIndex];
                k++;
                i++;
            }
            while(j<=higherIndex){
                array[k]=temp[j-lowerIndex];
                k++;
                j++;
            }
        }

    }

    static long add(long a,long b){
        long x=(a+b);
        while(x>=mod) x-=mod;
        return x;
    }

    static long sub(long a,long b){
        long x=(a-b);
        while(x<0) x+=mod;
        return x;
    }

    static long mul(long a,long b){
        a%=mod;
        b%=mod;
        long x=(a*b);
        return x%mod;
    }


    static boolean isPal(String s){
        for(int i=0, j=s.length()-1;i<=j;i++,j--){
                if(s.charAt(i)!=s.charAt(j)) return false;
        }
        return true;
    }
    static String rev(String s){
                StringBuilder sb=new StringBuilder(s);
                sb.reverse();
                return sb.toString();
    }

    static long gcd(long x,long y){
        if(y==0)
                return x;
        else
                return gcd(y,x%y);
    }

    static int gcd(int x,int y){
        if(y==0)
                return x;
        else 
                return gcd(y,x%y);
    }

    static long gcdExtended(long a,long b,long[] x){

        if(a==0){
            x[0]=0;
            x[1]=1;
            return b;
        }
        long[] y=new long[2];
        long gcd=gcdExtended(b%a, a, y);

        x[0]=y[1]-(b/a)*y[0];
        x[1]=y[0];

        return gcd;
    }


    static long mulmod(long  a,long b,long m) {
        if (m <= 1000000009) return a * b % m;

        long res = 0;
        while (a > 0) {
            if ((a&1)!=0) {
                res += b;
                if (res >= m) res -= m;
            }
            a >>= 1;
            b <<= 1;
            if (b >= m) b -= m;
        }
        return res;
    }

    static int abs(int a,int b){
        return (int)Math.abs(a-b);
    }

    public static long abs(long a,long b){
        return (long)Math.abs(a-b);
    }

    static int max(int a,int b){
        if(a>b)
                return a;
        else
                return b;
    }

    static int min(int a,int b){
        if(a>b)
                return b;
        else 
                return a;
    }

    static long max(long a,long b){
        if(a>b)
                return a;
        else
                return b;
    }

    static long min(long a,long b){
        if(a>b)
                return b;
        else 
                return a;
    }

    static long pow(long n,long p,long m){
         long  result = 1;
          if(p==0)
            return 1;

        while(p!=0)
        {
            if(p%2==1)
                result *= n;
            if(result>=m)
            result%=m;
            p >>=1;
            n*=n;
            if(n>=m)
            n%=m;
        }
        return result;
    }

    static long pow(long n,long p){
        long  result = 1;
          if(p==0)
            return 1;

        while(p!=0)
        {
            if(p%2==1)
                result *= n;	    
            p >>=1;
            n*=n;	    
        }
        return result;
    }

    static void debug(Object... o) {
            System.out.println(Arrays.deepToString(o));
    }

    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 int[] nextIntArray(int n) {
                int a[] = new int[n];
                for (int i = 0; i < n; i++) {
                        a[i] = nextInt();
                }
                return a;
        }

        public long[] nextLongArray(int n) {
                long a[] = new long[n];
                for (int i = 0; i < n; i++) {
                        a[i] = nextLong();
                }
                return a;
        }

        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);
        }

    }
}    
