You are given an array a consisting of n integer numbers.

You have to color this array in k colors in such a way that: 

  * Each element of the array should be colored in some color; 
  * For each i from 1 to k there should be at least one element colored in the i-th color in the array; 
  * For each i from 1 to k all elements colored in the i-th color should be distinct. 



Obviously, such coloring might be impossible. In this case, print "NO". Otherwise print "YES" and any coloring (i.e. numbers c_1, c_2, ... c_n, where 1 ≤ c_i ≤ k and c_i is the color of the i-th element of the given array) satisfying the conditions above. If there are multiple answers, you can print any.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 5000) — the length of the array a and the number of colors, respectively.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 5000) — elements of the array a.

Output

If there is no answer, print "NO". Otherwise print "YES" and any coloring (i.e. numbers c_1, c_2, ... c_n, where 1 ≤ c_i ≤ k and c_i is the color of the i-th element of the given array) satisfying the conditions described in the problem statement. If there are multiple answers, you can print any.

Examples

Input


4 2
1 2 2 3


Output


YES
1 1 2 2


Input


5 2
3 2 1 2 3


Output


YES
2 1 1 2 1


Input


5 2
2 1 1 2 1


Output


NO

Note

In the first example the answer 2~ 1~ 2~ 1 is also acceptable.

In the second example the answer 1~ 1~ 1~ 2~ 2 is also acceptable.

There exist other acceptable answers for both examples.
def main():
    arr=input().split()
    n=int(arr[0])
    k=int(arr[1])
    arr=input().split()
    store=[[] for x in range(k)]
    colors=[]
    if k>n:
        print("NO")
    elif k==n:
        print("YES")
        string=""
        for x in range(k):
            string+=str(x+1)+" "
        print(string)
        
    else:
        for x in range(k):
            store[x].append(int(arr[x]))
            colors.append(x+1)
        bo_end=False
        for x in range(k,n):
            test=int(arr[x])
            bo=True
            for y in range(k):
                if not test in store[y]:
                    store[y].append(test)
                    colors.append(y+1)
                    bo=False
                    break
            if bo:
                break
            if x==n-1:
                bo_end=True
        if bo_end:
            print("YES")
            string=""
            for x in colors:
                string+=str(x)+" "
            print(string)
        else:
            print("NO")
main()
