Properties of a Number

Problem Source

Luogu P5710

Problem Description

Some integers may have the following properties:

• Property 1: it is even;
• Property 2: it is greater than 4 and not greater than 12.

Xiao A likes integers for which both properties hold; Uim likes integers for which at least one of the properties holds; Xiao B likes integers for which exactly one of the properties holds; Zhengmei likes integers for which neither property holds. Now given an integer x, tell whether each of them likes this integer.

Input Format

Input an integer x (0 ≤ x ≤ 1000).

Output Format

Output whether each of the 4 people likes this number: if they like it output 1, otherwise output 0, separated by spaces. The output order is: Xiao A, Uim, Xiao B, Zhengmei.

Sample Input

12

Sample Output

1 1 0 0

Hint

• The two "properties" are two true/false conditions: one about parity, one about an interval. Compute these two boolean values first.
• The four people's tastes are four different logical combinations — how do you write "and", "or", "exactly one holds", "neither holds"?
• "Exactly one holds" has no ready-made operator; think about which relation between the two boolean values makes it true.
• Check against the sample: 12 → 1 1 0 0.