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:
# 509B
# θ(Σ(ai)) time
# θ(n) space

__author__ = 'artyom'


# SOLUTION

def main():
    n, k = read(3)
    mn = 101
    mx = 0
    a = read(3)
    for v in a:
        if v < mn:
            mn = v
        if v > mx:
            mx = v
    if mx - mn > k:
        write('NO')
        return
    write('YES')
    for v in a:
        write([1] * mn + list(range(1, v - mn + 1)))


# HELPERS

def read(mode=1, size=None):
    # 0: String
    # 1: Integer
    # 2: List of strings
    # 3: List of integers
    # 4: Matrix of integers
    if mode == 0: return input().strip()
    if mode == 1: return int(input().strip())
    if mode == 2: return input().strip().split()
    if mode == 3: return list(map(int, input().strip().split()))
    a = []
    for _ in range(size):
        a.append(read(3))
    return a


def write(s="\n"):
    if s is None: s = ''
    if isinstance(s, tuple) or isinstance(s, list): s = ' '.join(map(str, s))
    s = str(s)
    print(s, end="\n")


main()