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 result(color, numberOfColors):
    # no way to paint the pebbles satisfying the given condition
    if (color > numberOfColors):
        print("NO")
    else:
        print("YES")
        for aColor in colorful:
            print(aColor.strip())


def paint(color, piles, colorful, painted):
    for i in range(len(piles)):
        if (piles[i] > 0):
            piles[i] = piles[i] - 1
            colorful[i] += str(color) + " "
        if (piles[i] == 0):
            painted[i] = True

    return painted

numberOfPiles, numberOfColors = map(int, input().split())
colorful = ["" for i in range(numberOfPiles)]
numberOfPebbles = map(int, input().split())
piles = list(numberOfPebbles)

color = 1
painted = {}
while (len(painted.keys()) < len(piles)):
    if ((len(painted.keys()) > 0) and (color > 0)):
        if (color == 1):
            paint(color, piles, colorful, painted)

        color += 1
    paint(color, piles, colorful, painted)

result(color, numberOfColors)