Problem:
Score : 100 points

Problem Statement

There are N students in a school.

We will divide these students into some groups, and in each group they will discuss some themes.

You think that groups consisting of two or less students cannot have an effective discussion, so you want to have as many groups consisting of three or more students as possible.

Divide the students so that the number of groups consisting of three or more students is maximized.

Constraints

1 \leq N \leq 1000

All input values are integers.

Input

Input is given from Standard Input in the following format:

N

Output

If you can form at most x groups consisting of three or more students, print x.

Sample Input 1

8

Sample Output 1

2

For example, you can form a group of three students and another of five students.

Sample Input 2

2

Sample Output 2

0

Sometimes you cannot form any group consisting of three or more students, regardless of how you divide the students.

Sample Input 3

9

Sample Output 3

3

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

# ある学校には、N 人の生徒がいます。
# 生徒たちをいくつかのグループに分け、グループごとにあるテーマについて話し合ってもらうこととなりました。
# あなたは、2 人以下のグループだと効果的な話し合いが出来ないと考えており、
# なるだけ多くのグループを 3 人以上にしたいです。
# 生徒たちを上手く分けて、3 人以上のグループの数を最大化してください。

n = gets.to_i
group_count = n / 3
puts n % 3 == 0 ? group_count : group_count - 1