B. Painting Pebbles

B. Painting Pebbles
time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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.

Sample test(s)
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
 #include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <string>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <sstream>
#include <cctype>
#include <cassert>
#include <typeinfo>
#include <utility> //std::move()
using namespace std;
const int INF = 0x7fffffff;
const double EXP = 1e-;
const int MS = ;
typedef long long LL; int a[MS];
int main()
{
int n, k, i, j;
cin >> n >> k;
int mini = INF, maxi = -INF;
for (int i = ; i < n; i++)
{
cin >> a[i];
if (mini>a[i])
mini = a[i];
if (maxi < a[i])
maxi= a[i];
}
if ((maxi / k - )*k+ maxi%k > mini)
{
cout << "NO" << endl;
}
else
{
cout << "YES" << endl;
for (i = ; i < n; i++)
{
for (j = ; j < a[i]; j++)
{
if (j)
cout << " ";
cout << j%k + ;
}
cout << endl;
}
}
return ;
}
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