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:
def f (arr, k):
    ans = [0] * k
    for i in range(len(arr)):
        ans[arr[i]] += 1
    return ans

n, k = map(int, input().split())
a = list(map(int, input().split()))
ans = [[-1] * a[i] for i in range(n)]

for i in range(n):
    ind = 0
    for j in range(a[i]):
        ans[i][j] = ind
        ind = (ind + 1) % k
lim = True    
for i in range(n):
    for j in range(i + 1, n):
        if abs(a[i] - a[j]) > k:
            lim = False
if (lim):
    print('YES')
    for i in range(n):
        for j in range(len(ans[i])):
            print(ans[i][j] + 1, end = ' ')
        print()
else:
    print('NO')