Description

Input

The first line of the input contains one integer $n$ ($1 \le n \le 2 \cdot 10^9$).

Output

Print one integer — the minimum possible value of $|sum(A) - sum(B)|$ if you divide the initial sequence $1, 2, \dots, n$ into two sets $A$ and $B$.

3

0

5

1

6

1

Note

Some (not all) possible answers to examples:

In the first example you can divide the initial sequence into sets $A = \{1, 2\}$ and $B = \{3\}$ so the answer is $0$.

In the second example you can divide the initial sequence into sets $A = \{1, 3, 4\}$ and $B = \{2, 5\}$ so the answer is $1$.

In the third example you can divide the initial sequence into sets $A = \{1, 4, 5\}$ and $B = \{2, 3, 6\}$ so the answer is $1$.