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 = list(map(int, input().split()))
a = list(map(int, input().split()))

ok, d = True, {}

for item in a:
    d[item] = d.get(item, 0) + 1
    if d[item] > k:
        ok = False
        break

if not ok or n < k:
    print("NO")
else:
    aa = zip(list(range(0, n)), a)
    aa = sorted(aa, key=lambda x: x[1])
    c = 1
    z, res = False, [1] * n
    for i, v in aa:
        res[i] = c
        if c >= k:
            z = True
        c += 1
        c = c % (k + 1)
        if c == 0:
            c += 1
    if z:
        print("YES")
        print(' '.join(map(str, res)))
    else:
        print('NO')
 	 	 	    			 	 	   	 	   					