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.
from collections import Counter


n,k = list(map(int, input().strip().split()))
a = list(map(int, input().strip().split()))

counts = Counter(a)
# print(counts)

found = False
for elem in counts:
    if counts[elem] > k:
        found = True


if found:
    print("NO")
else:
    colors = list(range(0, k, 1))
    # print(colors)

    color_dict = dict()
    for color in colors:
        color_dict[color] = list()

    curr_color = 0
    for elem, count in counts.items():
        for _ in range(count):
            color_dict[curr_color].append(elem)
            curr_color += 1
            curr_color = curr_color % k
    # print(color_dict)

    elem_color_dict = dict()
    for elem in set(a):
        elem_color_dict[elem] = list()

    for color, elem_color_list in color_dict.items():
        for elem in elem_color_list:
            elem_color_dict[elem].append(color)
    # print(elem_color_dict)

    final_coloring = list()
    for elem in a:
        curr_color = elem_color_dict[elem].pop()
        final_coloring.append(curr_color)

    print("YES")
    for x in final_coloring:
        print(x+1, end=' ')
    # print([x+1 for x in final_coloring])