Problem: Everybody in Russia uses Gregorian calendar. In this calendar there are 31 days in January, 28 or 29 days in February (depending on whether the year is leap or not), 31 days in March, 30 days in April, 31 days in May, 30 in June, 31 in July, 31 in August, 30 in September, 31 in October, 30 in November, 31 in December.

A year is leap in one of two cases: either its number is divisible by 4, but not divisible by 100, or is divisible by 400. For example, the following years are leap: 2000, 2004, but years 1900 and 2018 are not leap.

In this problem you are given n (1 ≤ n ≤ 24) integers a1, a2, ..., an, and you have to check if these integers could be durations in days of n consecutive months, according to Gregorian calendar. Note that these months could belong to several consecutive years. In other words, check if there is a month in some year, such that its duration is a1 days, duration of the next month is a2 days, and so on.

Input

The first line contains single integer n (1 ≤ n ≤ 24) — the number of integers.

The second line contains n integers a1, a2, ..., an (28 ≤ ai ≤ 31) — the numbers you are to check.

Output

If there are several consecutive months that fit the sequence, print "YES" (without quotes). Otherwise, print "NO" (without quotes).

You can print each letter in arbitrary case (small or large).

Examples

Input

4
31 31 30 31


Output

Yes



Input

2
30 30


Output

No



Input

5
29 31 30 31 30


Output

Yes



Input

3
31 28 30


Output

No



Input

3
31 31 28


Output

Yes

Note

In the first example the integers can denote months July, August, September and October.

In the second example the answer is no, because there are no two consecutive months each having 30 days.

In the third example the months are: February (leap year) — March — April – May — June.

In the fourth example the number of days in the second month is 28, so this is February. March follows February and has 31 days, but not 30, so the answer is NO.

In the fifth example the months are: December — January — February (non-leap year).

Solution (in JAVA):

Solution:
/* 
 * UMANG PANCHAL
 * DAIICT
 */
import java.util.*;
import java.io.*;
import java.math.BigInteger;
public class Main
{
 
	static ArrayList<Integer> adj[];
	static char color[];
	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];
	
	// --------------------My Code Starts Here----------------------
	
	public static void main(String[] args) throws IOException
	{
		in=new InputReader(System.in);
		w=new PrintWriter(System.out);
       int n=ni();
       int[] a=na(n);
       int[] b=new int[24];
       int[] c=new int[24];
       int[] d=new int[24];
       b[0]=31;
       b[1]=28;
       b[2]=31;
       b[3]=30;
       b[4]=31;
       b[5]=30;
       b[6]=31;
       b[7]=31;
       b[8]=30;
       b[9]=31;
       b[10]=30;
       b[11]=31;
       b[12]=31;
       b[13]=28;
       b[14]=31;
       b[15]=30;
       b[16]=31;
       b[17]=30;
       b[18]=31;
       b[19]=31;
       b[20]=30;
       b[21]=31;
       b[22]=30;
       b[23]=31;
       for(int i=0;i<=23;i++)
       {
    	   c[i]=b[i];
    	   d[i]=b[i];
       }
       c[1]=29;
       d[13]=29;
       boolean ans=false;
       for(int i=1;i<=24;i++)
       {
    	   boolean x=true;
    	   for(int j=0;j<n;j++)
    	   {
    		   if(b[(i+j)%24]!=a[j])
    		   {
    			   x=false;
    			   break;
    		   }
    	   }
    	   ans=x;
    	   if(ans==true)
    		   {
    		   w.print("YES");
    		   break;
    		   }
       }
       if(ans==false)
       {
    	     for(int i=1;i<=24;i++)
    	       {
    	    	   boolean x=true;
    	    	   for(int j=0;j<n;j++)
    	    	   {
    	    		   if(c[(i+j)%24]!=a[j])
    	    		   {
    	    			   x=false;
    	    			   break;
    	    		   }
    	    	   }
    	    	   ans=x;
    	    	   if(ans==true)
    	    		   {
    	    		   w.print("YES");
    	    		   break;
    	    		   }
    	       }
       }
       
       if(ans==false)
       {
    	     for(int i=1;i<=24;i++)
    	       {
    	    	   boolean x=true;
    	    	   for(int j=0;j<n;j++)
    	    	   {
    	    		   if(d[(i+j)%24]!=a[j])
    	    		   {
    	    			   x=false;
    	    			   break;
    	    		   }
    	    	   }
    	    	   ans=x;
    	    	   if(ans==true)
    	    		   {
    	    		   w.print("YES");
    	    		   break;
    	    		   }
    	       }
       }
       if(ans==false)
    	   w.print("NO");
    	   w.close();
    }


	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);
}
}
	
}