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 PYTHON):

Solution:
R=lambda:map(int,raw_input().split())
n,k=R()
a=R()
ans=[[k] * x  for x  in a]
a=sorted(zip(a,range(n)))
last=k
for i in range(1,n):
	d=a[i][0]-a[i-1][0]
	now,pre=a[i][1],a[i-1][1]
	for j in range(a[i-1][0]): ans[now][j]=ans[pre][j]
	if d:
		if last:
			d-=1
			ans[now][a[i-1][0]]=last
		for j in range(d): k-=1; ans[now][a[i-1][0]+j+(last>0)]=k
		last=0
		if k<=0: print 'NO';break
else: 
	print 'YES'
	for i in range(n):
		print ' '.join(map(str, ans[i]))