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:
from collections import Counter

def isPosibleToPaintPibbles(pilePebbles, colors):
    minPile = 101
    maxPile = 0
    for i in range(len(pilePebbles)):
        maxPile = max(maxPile, pilePebbles[i])
        minPile = min(minPile, pilePebbles[i])
    return maxPile - minPile <= colors

def generatePaintedPibbles(pilePebbles, colors):
    paintedPiles = []
    for i in range(len(pilePebbles)):
        color = 1
        paintedPile = []
        for _ in range(pilePebbles[i]):
            paintedPile.append(color)
            color = 1 if color == colors else color + 1
        paintedPiles.append(paintedPile)
    return paintedPiles

def printPaintedPibbles(paintPilePebbles):
    for pile in paintPilePebbles:
        pileRaw = ""
        for pibble in pile:
            pileRaw += str(pibble) + " " 
        print(pileRaw)

vals = [int(x) for x in input().split()]
n = vals[0]
k = vals[1]
pilePebbles = [int(x) for x in input().split()]
if isPosibleToPaintPibbles(pilePebbles, k):
    print("YES")
    paintedPilePeebles = generatePaintedPibbles(pilePebbles, k)
    printPaintedPibbles(paintedPilePeebles)
else :
    print("NO")