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:
n,k=map(int,raw_input().split())
z=map(int,raw_input().split())
g={}
flag=0
for y in z:
    g[y]=[]
a=list(set(z))
a.sort()
xx=0
for x in a:
    g[x]=g[x]+[xx+1]*min(a)
a=set(list(a)[1:])
for x in a:
    g[x]=g[x]+[xx+1]
if (k!=1):
    for x in xrange(2,k+1):
        for s in a:
            if len(g[s])<s:
                g[s]=g[s]+[x]
else:
    flag=1
    a=min(z)
    zz=z[:]
    for g in xrange(len(zz)):
        zz[g]=zz[g]-a
    if sum(zz)>2:
        print "NO"
    else:
        print "YES"
        for g in z:
            print "1 "*g
if flag==0:
    if len(a)==0 or len(g[max(a)])>=max(a) :
        print "YES"
        for ff in z:
            print ' '.join(str(g[ff]).strip('[]').split(','))
    else:
        print "NO"