Corn Fields

Corn Fields

Description

Farmer John has purchased a lush new rectangular pasture composed of M by N (1 ≤ M ≤ 12; 1 ≤ N ≤ 12) square parcels. He wants to grow some yummy corn for the cows on a number of squares. Regrettably, some of the squares are infertile and can't be planted. Canny FJ knows that the cows dislike eating close to each other, so when choosing which squares to plant, he avoids choosing squares that are adjacent; no two chosen squares share an edge. He has not yet made the final choice as to which squares to plant.

Being a very open-minded man, Farmer John wants to consider all possible options for how to choose the squares for planting. He is so open-minded that he considers choosing no squares as a valid option! Please help Farmer John determine the number of ways he can choose the squares to plant.

Input

Line 1: Two space-separated integers: M and N 
Lines 2..M+1: Line i+1 describes row i of the pasture with N space-separated integers indicating whether a square is fertile (1 for fertile, 0 for infertile)

Output

Line 1: One integer: the number of ways that FJ can choose the squares modulo 100,000,000.

Sample Input

2 3
1 1 1
0 1 0

Sample Output

9

Hint

Number the squares as follows:

1 2 3
 4  

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题意：

农田里面有被1和0标记的方格，1为可以放牧，0为不可以放牧，并且不可以在相邻的两个方格里面放牧（包括每一行里面相邻以及每一列里面的相邻，不包括斜线相邻）。

用状态dp：

&	按位与	两位同时为1则为1，否则为0	0&0=0;  0&1=0;   1&0=0;    1&1=1;
|	按位或	两者只要一个为1则为1	0|0=0；  0|1=1；  1|0=1；   1|1=1
<<	左移运算符	将一个运算对象的各二进制位全部左移若1位，相当于乘以2
>>	右移运算符	将一个运算对象的个二进制位全部右移一位，相当于除以2

 

#include 
using namespace std;
int N = 13,M=1<