Codeforces celebrates 10 years! We are pleased to announce the crowdfunding-campaign. Congratulate us by the link https://codeforces.com/10years.
×

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Rectangles

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

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

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

Input

The first line of input contains integers *n* and *m* (1 ≤ *n*, *m* ≤ 50) — the number of rows and the number of columns correspondingly.

The next *n* lines of input contain descriptions of rows. There are *m* integers, separated by spaces, in each line. The number equals 0 if the corresponding cell is colored white and equals 1 if the corresponding cell is colored black.

Output

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

Examples

Input

1 1

0

Output

1

Input

2 3

1 0 1

0 1 0

Output

8

Note

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 8 sets.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Feb/24/2020 09:10:45 (h1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|