Problem Statement

KEYENCE has $N$ departments, where $A_i$ employees belong to the $i$-th department $(1 \\leq i \\leq N)$. No employee belongs to multiple departments.

The company is planning cross-departmental projects. Each project will be composed of exactly $K$ employees chosen from $K$ distinct departments.

At most how many projects can be made? No employee can participate in multiple projects.

Constraints

• $1 \\leq K \\leq N \\leq 2 \\times 10^5$
• $1 \\leq A_i \\leq 10^{12}$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$ $K$ $A_1$ $A_2$ $\\ldots$ $A_N$

Output

Print the maximum possible number of projects.

Sample Input 1

3 3
2 3 4

Sample Output 1

2

There can be two projects, each composed of three employees from distinct departments.

Sample Input 2

4 2
1 1 3 4

Sample Output 2

4

Sample Input 3

4 3
1 1 3 4

Sample Output 3

2