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.
M,K = map(int,input().split())
List = list(map(int,input().split()))

dict_cot = {}
for num in set(List):
    dict_cot[num] = List.count(num)

if max(dict_cot.values())<=K:
    dict_list = {}
    k = 1
    for index in dict_cot.keys():
        value_list = []
        for i in range(dict_cot[index]):
            if k%K == 0:
                value_list_i = K
            else:
                value_list_i = k%K
            k = k + 1
            value_list.append(value_list_i)
        dict_list[index] = value_list
            
    ret = []
    for index in List:
        ret_i = dict_list[index][0]
        ret.append(str(ret_i))
        mid = dict_list[index]
        del mid[0]
        dict_list[index] = mid
    print("YES")
    print(' '.join(ret))
else:
    print("NO")
	 	   	 					 	   	 		 	  		