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B. Hungry Sequence

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputIahub and Iahubina went to a date at a luxury restaurant. Everything went fine until paying for the food. Instead of money, the waiter wants Iahub to write a Hungry sequence consisting of *n* integers.

A sequence *a* _{1}, *a* _{2}, ..., *a* _{ n}, consisting of *n* integers, is Hungry if and only if:

- Its elements are in increasing order. That is an inequality
*a*_{ i}<*a*_{ j}holds for any two indices*i*,*j*(*i*<*j*). - For any two indices
*i*and*j*(*i*<*j*),*a*_{ j}must not be divisible by*a*_{ i}.

Iahub is in trouble, so he asks you for help. Find a Hungry sequence with *n* elements.

Input

The input contains a single integer: *n* (1 ≤ *n* ≤ 10^{5}).

Output

Output a line that contains *n* space-separated integers *a* _{1} *a* _{2}, ..., *a* _{ n} (1 ≤ *a* _{ i} ≤ 10^{7}), representing a possible Hungry sequence. Note, that each *a* _{ i} must not be greater than 10000000 (10^{7}) and less than 1.

If there are multiple solutions you can output any one.

Examples

Input

3

Output

2 9 15

Input

5

Output

11 14 20 27 31

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