【codeforces】C - Buggy Sorting

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本文介绍了一个名为C-BuggySorting的排序算法程序，该程序由LittleboyValera编写，旨在实现整数数组的非递减排序。文章分析了程序中存在的潜在错误，并提供了构造反例的方法，用于验证该算法在特定输入情况下的表现。

C - Buggy Sorting

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 integersa₁, a₂, ..., a_n 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 (a_j > a_j + 1), then swap the values of elements a_j and a_j + 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, ..., a_n (1 ≤ a_i ≤ 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.

Example

Input

Output

-1

任意给一个n个数的数组，是错误的冒泡排序，给出反例

写出一个递减数列就可以了。

#include<cstdio>
int main()
{
	int n;
	scanf("%d",&n);
	if(n<=2) printf("-1\n");
	else{
		printf("%d",n);
	for(int i=n-1;i>0;i--)
	printf(" %d",i);
	printf("\n");	
	}
	return 0;
}