Score: 400 points
Print a sequence a_1, a_2, ..., a_N whose length is N that satisfies the following conditions:
If there are multiple such sequences, printing any of them is accepted.
An integer N not less than 2 is called a prime number if it cannot be divided evenly by any integers except 1 and N, and called a composite number otherwise.
Input is given from Standard Input in the following format:
N
Print N numbers a_1, a_2, a_3, ..., a_N in a line, with spaces in between.
5
3 5 7 11 31
Let us see if this output actually satisfies the conditions.
First, 3, 5, 7, 11 and 31 are all different, and all of them are prime numbers.
The only way to choose five among them is to choose all of them, whose sum is a_1+a_2+a_3+a_4+a_5=57, which is a composite number.
There are also other possible outputs, such as 2 3 5 7 13
, 11 13 17 19 31
and 7 11 5 31 3
.
6
2 3 5 7 11 13
Thus, the sequence 2 3 5 7 11 13
satisfies the conditions.
8
2 5 7 13 19 37 67 79