题目描述

The problem is, given an positive integer N, we define an equation like this:

  N=a[1]+a[2]+a[3]+...+a[m];

  a[i]>0,1<=m<=N;

For example, assume N is 5, we can find:

  5=1+1+1+1+1

  5=1+1+1+2

  5=1+1+3

  5=1+2+2

  5=1+4

  5=2+3

  5=5

Note that "5 = 3 + 2" and "5 = 2 + 3" is the same in this problem. Now, you do it!"

But now , you must ouput all the equations in lexicographical order;

输入描述

The input contains several test cases. Each test case contains a positive integer N(1<=N<=20) which is mentioned above. The input is terminated by the end of file.

输出描述

For each test case, you have to output several lines indicate the different equations you have found.

示例

提示

The first case,you can't print 3=2+1(it's not lexicographical order),and you must print 3=1+1+1 before 3=1+2 .

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