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Buggy Sorting

2000ms 262144K

Description:

Little boy Valera studies an algorithm of sorting an integer array. After studying the theory, he went on to the practical tasks. As a result, he wrote a program that sorts an array of n integers a1, a2, ..., an in the non-decreasing order. The pseudocode of the program, written by Valera, is given below. The input of the program gets number n and array a.


loop integer variable i from 1 to n - 1
    loop integer variable j from i to n - 1
        if (aj > aj + 1), then swap the values of elements aj and aj + 1

But Valera could have made a mistake, because he hasn't yet fully learned the sorting algorithm. If Valera made a mistake in his program, you need to give a counter-example that makes his program work improperly (that is, the example that makes the program sort the array not in the non-decreasing order). If such example for the given value of n doesn't exist, print -1.

Input:

You've got a single integer n (1 ≤ n ≤ 50) — the size of the sorted array.

Output:

Print n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 100) — the counter-example, for which Valera's algorithm won't work correctly. If the counter-example that meets the described conditions is impossible to give, print -1.

If there are several counter-examples, consisting of n numbers, you are allowed to print any of them.

Sample Input:

1

Sample Output:

-1

Informação

Codeforces

Provedor Codeforces

Código CF246A

Tags

constructive algorithmsgreedysortings

Submetido 0

BOUA! 0

Taxa de BOUA's 0%

Datas 09/05/2023 08:40:37

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