CF844B.Rectangles

普及/提高-

通过率:0%

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题目描述

You are given n×mn×m table. Each cell of the table is colored white or black. Find the number of non-empty sets of cells such that:

  1. All cells in a set have the same color.
  2. Every two cells in a set share row or column.

输入格式

The first line of input contains integers nn and mm ( 1<=n,m<=501<=n,m<=50 ) — the number of rows and the number of columns correspondingly.

The next nn lines of input contain descriptions of rows. There are mm integers, separated by spaces, in each line. The number equals 00 if the corresponding cell is colored white and equals 11 if the corresponding cell is colored black.

输出格式

Output single integer — the number of non-empty sets from the problem description.

输入输出样例

  • 输入#1

    1 1
    0
    

    输出#1

    1
    
  • 输入#2

    2 3
    1 0 1
    0 1 0
    

    输出#2

    8
    

说明/提示

In the second example, there are six one-element sets. Additionally, there are two two-element sets, the first one consists of the first and the third cells of the first row, the second one consists of the first and the third cells of the second row. To sum up, there are 88 sets.

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