1047A_Little C Loves 3 I（构造）

A. Little C Loves 3 I

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Little C loves number «3» very much. He loves all things about it.

Now he has a positive integer nn. He wants to split nn into 33 positive integers a,b,ca,b,c, such that a+b+c=na+b+c=n and none of the 33 integers is a multiple of 33. Help him to find a solution.

Input

A single line containing one integer nn (3≤n≤1093≤n≤109) — the integer Little C has.

Output

Print 33 positive integers a,b,ca,b,c in a single line, such that a+b+c=na+b+c=n and none of them is a multiple of 33.

It can be proved that there is at least one solution. If there are multiple solutions, print any of them.

Examples

input

Copy

3

output

Copy

1 1 1

input

Copy

233

output

Copy

77 77 79
被样例困惑了很久，看了题解啧啧，其实这题就是构造
大致题意：给你一个数n,找到三个数a,b,c，使得a+b+c=n,并且a,b,c都不能是3的倍数
分析：当n%3=0时，n-2一定不是3的倍数，可以构造为a=1,b=1,c=n-2;当n%3!=0时，n-3一定不是3的倍数，那么可以构造为，a=1,b=2,c=n-3.注意这个构造是任意的，只要满足条件即可

 #include<cstdio>
 #include<cstring>
 #include<algorithm>
 using namespace std;
 int main()
 {
     int n;
     while(~scanf("%d",&n))
     {
         if(n%==)
             printf("1 1 %d\n",n-);
         else
             printf("1 2 %d\n",n-);
     }
     return ;
 }