Hungry Sequence

Iahub 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 a1, a2, ..., an, consisting of n integers, is Hungry if and only if:

• Its elements are in increasing order. That is an inequality ai < aj holds for any two indices i, j (i < j).
• For any two indices i and j (i < j), aj must not be divisible by ai.

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 ≤ 105).

Output

Output a line that contains n space-separated integers a1 a2, ..., an (1 ≤ ai ≤ 107), representing a possible Hungry sequence. Note, that each ai must not be greater than 10000000 (107) 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

inputFormat

Input

The input contains a single integer: n (1 ≤ n ≤ 105).

outputFormat

Output

Output a line that contains n space-separated integers a1 a2, ..., an (1 ≤ ai ≤ 107), representing a possible Hungry sequence. Note, that each ai must not be greater than 10000000 (107) 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

样例

3

2 3 5 

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