//最大字段问题和动态规划算法的推广 最大子矩阵
package wkx;
import java.io.IOException;
import java.util.Scanner;
public class Test
{
private static int MaxSum1(int[] a)
{
int sum = 0, b = 0;
for (int i = 0; i < a.length; i++)
{
if (b > 0)
b += a[i];
else
b = a[i];
if (b > sum)
sum = b;
}
return sum;
}
private static int MaxSum2(int[][] map,int m,int n)
{
int sum=Integer.MIN_VALUE;
for(int i=0;i<m;i++)
{
for(int j=i+1;j<m;j++)
{
int[] b=new int[n];
for(int x=i;x<=j;x++)
{
for(int y=0;y<n;y++)
b[y]+=map[x][y];
int max=MaxSum1(b);
if(max>sum)
sum=max;
}
}
}
return sum;
}
public static void main(String[] args) throws IOException
{
int[][] map=new int[100][100];
Scanner in=new Scanner(System.in);
int m=in.nextInt();
int n=in.nextInt();
for(int i=0;i<m;i++)
{
for(int j=0;j<n;j++)
{
map[i][j]=in.nextInt();
}
}
System.out.println(MaxSum2(map,m,n));
}
}
//最大字段问题和动态规划算法的推广 最大m子段问题
package wkx;
import java.io.IOException;
import java.util.Scanner;
public class Test
{
public static void main(String[] args) throws IOException
{
Scanner in = new Scanner(System.in);
System.out.println("len");
int len = in.nextInt();
System.out.println("m");
int m = in.nextInt();
int[][] map = new int[len+2][len+2];
int[] a = new int[len + 1];
System.out.println("输入"+len+"个数");
for (int i = 1; i <= len; i++)
{
a[i] = in.nextInt();
}
for(int i=1;i<=m;i++)
{
for(int j=i;j<=len;j++)
{
map[i][j]=map[i][j-1]+a[j];
for(int k=i-1;k<=j-1;k++)
{
int sum=map[i-1][k]+a[j];
if(sum>map[i][j])
{
map[i][j]=sum;
}
}
}
}
int max=0;
for(int i=m;i<=len;i++)
{
if(map[m][i]>max)max=map[m][i];
}
System.out.println("长度为"+len+"的最大"+m+"子段和为"+max);
}
}