Problem: There are n piles of pebbles on the table, the i-th pile contains ai pebbles. Your task is to paint each pebble using one of the k given colors so that for each color c and any two piles i and j the difference between the number of pebbles of color c in pile i and number of pebbles of color c in pile j is at most one.

In other words, let's say that bi, c is the number of pebbles of color c in the i-th pile. Then for any 1 ≤ c ≤ k, 1 ≤ i, j ≤ n the following condition must be satisfied |bi, c - bj, c| ≤ 1. It isn't necessary to use all k colors: if color c hasn't been used in pile i, then bi, c is considered to be zero.

Input

The first line of the input contains positive integers n and k (1 ≤ n, k ≤ 100), separated by a space — the number of piles and the number of colors respectively.

The second line contains n positive integers a1, a2, ..., an (1 ≤ ai ≤ 100) denoting number of pebbles in each of the piles.

Output

If there is no way to paint the pebbles satisfying the given condition, output "NO" (without quotes) .

Otherwise in the first line output "YES" (without quotes). Then n lines should follow, the i-th of them should contain ai space-separated integers. j-th (1 ≤ j ≤ ai) of these integers should be equal to the color of the j-th pebble in the i-th pile. If there are several possible answers, you may output any of them.

Examples

Input

4 4
1 2 3 4


Output

YES
1
1 4
1 2 4
1 2 3 4


Input

5 2
3 2 4 1 3


Output

NO


Input

5 4
3 2 4 3 5


Output

YES
1 2 3
1 3
1 2 3 4
1 3 4
1 1 2 3 4

Solution (in PYTHON3):

Solution:
nk = input()
ns, ks = nk.split(' ')
n = int(ns)
k = int(ks)

kuchi_s = input()

kuchi = list(map(int, kuchi_s.split(' ')))

kuchi_index = [[0, i] for i in range(n)]
for i in range(n):
    kuchi_index[i][0] = kuchi[i]

kuchi_index.sort(key = lambda x: x[0])
flag = 1
counter = 1
paint = [[] for i in range(n)]
k_temp = k


if kuchi_index[0][0] + k < kuchi_index[n-1][0]:
    print('NO')
else:
    for i in range(n):
        st_num = kuchi_index[i][0] // k
        #max_stones = [st_num for i in range(k)]
        for j in range(k):
            for e in range(st_num):
                 paint[kuchi_index[i][1]].append(j+1)
        for e in range(kuchi_index[i][0] - len(paint[kuchi_index[i][1]])) :
            paint[kuchi_index[i][1]].append(e+1)

    print('YES')
    for i in range(n):
        for j in paint[i]:
            print(j,  end=" ")
        print()