Devu and Partitioning of the Array

Description:

Input:

The first line will contain three space separated integers n, k, p (1 ≤ k ≤ n ≤ 10⁵; 0 ≤ p ≤ k). The next line will contain n space-separated distinct integers representing the content of array a: a₁, a₂, ..., a_n (1 ≤ a_i ≤ 10⁹).

Output:

In the first line print "YES" (without the quotes) if it is possible to partition the array in the required way. Otherwise print "NO" (without the quotes).

If the required partition exists, print k lines after the first line. The i^th of them should contain the content of the i^th part. Print the content of the part in the line in the following way: firstly print the number of elements of the part, then print all the elements of the part in arbitrary order. There must be exactly p parts with even sum, each of the remaining k - p parts must have odd sum.

As there can be multiple partitions, you are allowed to print any valid partition.

Sample Input:

5 5 3
2 6 10 5 9

Sample Output:

YES
1 9
1 5
1 10
1 6
1 2

Sample Input:

5 5 3
7 14 2 9 5

Sample Output:

NO

Sample Input:

5 3 1
1 2 3 7 5

Sample Output:

YES
3 5 1 3
1 7
1 2