The table

题意翻译

$Harry Potter$ 的家庭作业超级难。老师给定了一个矩形表,由 $n×m$ 个单元格组成。表中的每个单元格都包含一个整数。 $Harry$ 可以使用两个法术: 第一个法术可以在选定行中改变所有整数的符号 第二个可以在所选列中做同样的事情。 $Harry$ 的任务是用这些咒语把每行和每列中的数字的总和变成非负的。帮帮这个年轻的魔术师,否则他就会挂科,失去和马尔福的拌嘴机会!

题目描述

Harry Potter has a difficult homework. Given a rectangular table, consisting of $ n×m $ cells. Each cell of the table contains the integer. Harry knows how to use two spells: the first spell change the sign of the integers in the selected row, the second — in the selected column. Harry's task is to make non-negative the sum of the numbers in each row and each column using these spells. Alone, the boy can not cope. Help the young magician!

输入输出格式

输入格式


The first line contains two integers $ n $ and $ m $ $ (1<=n, m<=100) $ — the number of rows and the number of columns. Next $ n $ lines follow, each contains $ m $ integers: $ j $ -th integer in the $ i $ -th line is $ a_{i,j} $ $ (|a_{i,j}|<=100) $ , the number in the $ i $ -th row and $ j $ -th column of the table. The rows of the table numbered from 1 to $ n $ . The columns of the table numbered from 1 to $ m $ .

输出格式


In the first line print the number $ a $ — the number of required applications of the first spell. Next print $ a $ space-separated integers — the row numbers, you want to apply a spell. These row numbers must be distinct! In the second line print the number $ b $ — the number of required applications of the second spell. Next print $ b $ space-separated integers — the column numbers, you want to apply a spell. These column numbers must be distinct! If there are several solutions are allowed to print any of them.

输入输出样例

输入样例 #1

4 1
-1
-1
-1
-1

输出样例 #1

4 1 2 3 4 
0 

输入样例 #2

2 4
-1 -1 -1 2
1 1 1 1

输出样例 #2

1 1 
1 4