"Thus, even is favorable,
Odd is unnecessary in our business."
(from the songs of the band "Zimovye Zverey")
You are given numbers: a_1, a_2, , a_n. Your task is to select the even numbers from this list whose third digit from the right in their octal representation is odd.
Once selected, sort these numbers in non-decreasing order and output them.
The first line of the input file contains an integer (1 \leq n \leq 100000). The second line contains integers: a_1, a_2, , a_n, separated by spaces and given in decimal notation. Each integer a_i satisfies the condition 64 \leq a_i \leq 10^9.
On the first line of the output file, print the number , which is the count of numbers that meet the criteria. On the second line, print these numbers in the specified order, using decimal notation.
Example 1