Competitions

# By steps of 2019 ACM NEERC, Bad Treap

# Increasing sines

Find and print **n** integers `x`

, _{1}`x`

, ..., _{2}`x`

so that the sequence of their sines is strictly increasing:_{n}

sin(`x`

) < sin(_{1}`x`

) < ... < sin(_{2}`x`

)_{n}

#### Input

One positive integer **n** (**n** ≤ `10`

).^{4}

#### Output

Print in one line the sequence of integers `x`

, _{1}`x`

, ..., _{2}`x`

, satisfying the condition of the problem. Members of the sequence by absolute value must be no more than _{n}`2`

- ^{31}**1** (|`x`

| < _{i}`2`

).^{31}

Input example #1

4

Output example #1

-8 0 9 1