2924.Painting Pebbles

Time Limit: 1s Memory Limit: 256MB

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 \le c \le k, 1 \le i,j \le n the following condition must be satisfied |bi,c-bj,c| \le 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 Format(From the terminal/stdin)

The first line of the input contains positive integers n and k (1 \le n,k \le 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 \le ai \le 100) denoting number of pebbles in each of the piles.

Output Format(To the terminal/stdout)

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 \le j \le 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.

Sample Input 1

Copy
4 4
1 2 3 4
 · \n
 · · · \n

Sample Output 1

Copy
YES
1
1 4
1 2 4
1 2 3 4
   \n
 \n
 · \n
 · · \n
 · · · \n

Sample Input 2

Copy
5 2
3 2 4 1 3
 · \n
 · · · · \n

Sample Output 2

Copy
NO
  \n

Sample Input 3

Copy
5 4
3 2 4 3 5
 · \n
 · · · · \n

Sample Output 3

Copy
YES
1 2 3
1 3
1 2 3 4
1 3 4
1 1 2 3 4
   \n
 · · \n
 · \n
 · · · \n
 · · \n
 · · · · \n

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