Beans
Time Limit: 2000/1000 MS (Java/Others)Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1977Accepted Submission(s): 997
    
  Problem Description 
  
  
    
  Bean-eating is an interesting game, everyone owns an M*N matrix, which is filled with different qualities beans. Meantime, there is only one bean in any 1*1 grid. Now you want to eat the beans and collect the qualities, but everyone must obey by the following rules: if you eat the bean at the coordinate(x, y), you can’t eat the beans anyway at the coordinates listed (if exiting): (x, y-1), (x, y+1), and the both rows whose abscissas are x-1 and x+1. 
 
    
    
      
    
    
    
Now, how much qualities can you eat and then get ?
  
    
    Now, how much qualities can you eat and then get ?
    
  Input 
  
  
    
  There are a few cases. In each case, there are two integer M (row number) and N (column number). The next M lines each contain N integers, representing the qualities of the beans. We can make sure that the quality of bean isn't beyond 1000, and 1<=M*N<=200000. 
  
  
    
  Output 
  
  
    
  For each case, you just output the MAX qualities you can eat and then get. 
  
  
    
  Sample Input 
  
  
      
        
   
   4 6
11 0 7 5 13 9
78 4 81 6 22 4
1 40 9 34 16 10
11 22 0 33 39 6
  
  
      
    
  
    
  Sample Output 
  
  
      
        
   
   242
  
  
      
    
  
    
  
    
  
    #include <iostream>
using namespace std;
int beans[100][100],line[100],row[100];
int main() {
	int m,n;
	while(cin >> m >> n){
		for(int i=0; i<m; i++){
			cin >> beans[i][0] >> beans[i][1];
			row[0] = beans[i][0];
			row[1] = beans[i][1];
			int tmpmax = max(row[0],row[1]);
			row[1] = tmpmax;
			for(int j=2; j<n; j++){
				cin >> beans[i][j];
				row[j] = max(row[j-2] + beans[i][j], row[j-1]);
			}
			line[i] = row[n-1];
		}
		int ans = max(line[0],line[1]);
		line[1] = ans;
		for(int i=2; i<m; i++){
			line[i] = max(line[i-2] + line[i], line[i-1]);
//			if(ans < line[i])
//				ans = line[i];
		}
		cout << line[m-1]  << endl;
	}
	return 0;
}
  
  
    
  
    
  

