#D4460. April Fools' Problem (easy)

    ID: 3706 Type: Default 2000ms 256MiB

April Fools' Problem (easy)

April Fools' Problem (easy)

The marmots have prepared a very easy problem for this year's HC2 – this one. It involves numbers n, k and a sequence of n positive integers a1, a2, ..., an. They also came up with a beautiful and riveting story for the problem statement. It explains what the input means, what the program should output, and it also reads like a good criminal.

However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools!

Input

The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104).

Output

Output one number.

Examples

Input

8 5 1 1 1 1 1 1 1 1

Output

5

Input

10 3 16 8 2 4 512 256 32 128 64 1

Output

7

Input

5 1 20 10 50 30 46

Output

10

Input

6 6 6 6 6 6 6 6

Output

36

Input

1 1 100

Output

100

inputFormat

input means, what the program should

outputFormat

output, and it also reads like a good criminal.

However I, Heidi, will have none of that. As my joke for today, I am removing the story from the statement and replacing it with these two unhelpful paragraphs. Now solve the problem, fools!

Input

The first line of the input contains two space-separated integers n and k (1 ≤ k ≤ n ≤ 2200). The second line contains n space-separated integers a1, ..., an (1 ≤ ai ≤ 104).

Output

Output one number.

Examples

Input

8 5 1 1 1 1 1 1 1 1

Output

5

Input

10 3 16 8 2 4 512 256 32 128 64 1

Output

7

Input

5 1 20 10 50 30 46

Output

10

Input

6 6 6 6 6 6 6 6

Output

36

Input

1 1 100

Output

100

样例

8 5
1 1 1 1 1 1 1 1
5