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:
#!/usr/bin/env python
#-*- coding:utf-8 -*-

import sys
import math
import random
import operator
from fractions import Fraction, gcd
from decimal import Decimal, getcontext
from itertools import product, permutations, combinations
getcontext().prec = 100

MOD = 10**9 + 7
INF = float("+inf")

n, k = map(int, raw_input().split())
arr = map(int, raw_input().split())
src = arr[::]
arr.sort()

colored_values = {}
can_increase = set(range(1, k + 1))
if k >= arr[0]:
    prev = range(1, arr[0] + 1)
    prev_val = arr[0]
    colored_values[arr[0]] = prev
else:
    prev = range(1, k) + [k] * (1 + arr[0] - k)
    prev_val = arr[0]
    colored_values[arr[0]] = prev

for c in arr[1:]:
    prev = prev[::]
    if c - prev_val > len(can_increase):
        print "NO"
        quit()
    for i in xrange(c - prev_val):
        color = can_increase.pop()
        prev.append(color)
    prev_val = c
    colored_values[c] = prev

print "YES"
for c in src:
    print " ".join(map(str, colored_values[c]))