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 verifyPebbles(k,piles):
    for i in range(0, len(piles) - 1):
        for j in range(i + 1, len(piles)):
            diff = abs(piles[i] - piles[j])
            if diff >= (k + 1):
                return False
    return True

def getColor(color,k):
    if color > k:
        return 1
    return color

def paintPebbles(k,piles):
    res = ''
    if not verifyPebbles(k, piles):
        res = 'NO'
        return res
    res = 'YES\n'
    for pile in piles:
        pileStr = ''
        color = 1
        for i in range(0, pile):
            color = getColor(color, k)
            pileStr += str(color) + ' '
            color += 1
        pileStr.strip()
        res += pileStr + '\n'
    return res
        
def run():
    n, k = list(map(int, input().split()))
    piles = list(map(int, input().split()))

    print(paintPebbles(k, piles))

run()