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.

n, k = input().strip().split(' ')
n, k = [int(n), int(k)]

keys = input().strip().split(' ')
color_list = list(map(int, keys))

occur = dict(zip(keys, [0] * len(keys)))

for x in keys:
    occur[x] += 1

occur = dict([(k, occur[k]) for k in sorted(occur, key=occur.get, reverse=True)])

color = 1
for key, value in occur.items():
    if value > k:
        print("NO")
        exit(0)
    else:
        for i in range(len(keys)):
            if keys[i] == key:
                color_list[i] = color
                color += 1
                if color > k:
                    color = 1


print("YES")
for i in range(len(color_list)):
    if i < len(color_list):
        print(color_list[i], end=" ")
