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; }