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 sys import *
from bisect import *
from collections import *

INF = 1e9
Input = []
MOD = 1000000007

#stdin = open('in', 'r')
#stdout = open('out', 'w')

def Out(x):
    stdout.write(str(x) + '\n')

def In():
    return stdin.readline().strip()

def inputGrab():
    for line in stdin:
        Input.extend(map(str, line.strip().split()))

############################################################

def main():
    n, k = map(int, In().split())
    v = map(int, In().split())
    
    v = list(v)
    
    Max = -1
    Min = 110
    for i in v:
        Min = min(i, Min)
        Max = max(i, Max)
    
    pile = [[] for i in range(110)]
    if abs(Max-Min) > k:
        print("NO")
    else:
        print("YES")
        Color = 1
        changed = True
        while changed:
            Min = 110
            changed = False
            for i in range(len(v)):
                if v[i] != 0:
                    pile[i].append(Color)
                    v[i] -= 1
                    Min = min(Min, v[i])
                    changed = True
            #if Min == 0:
            Color += 1
            if Color > k:
                Color = 1
        
        for i in range(n):
            for y in pile[i]:
                print(y, end = " ")
            print()
        
    
if __name__ == '__main__':
    main()