#include<iostream>
#include<cstdio>
#include<cstring> 
#include<ctype.h>
#include<vector>
#include<algorithm>
using namespace std; 

int ans;
int n,m;
int go[111][111];

void dfs(int cen,int days,int sum )  //这种方法太超时了
{
	//cout<<cen<<' '<<days<<' '<<sum<<endl;
	int k;
	int i;
	ans=max(ans,sum);
	if (cen==n)
		return;
	for (i=0;i<=m;i++)
	{
		if (i+days<=m)
		{
			dfs(cen+1,days+i,sum+go[cen+1][i]);
		}
		else
			break;
	}
	
}

int main()
{
	freopen("fuck.txt","r",stdin);
	int i,j,k;
	

	while (scanf("%d%d",&n,&m)!=EOF)
	{
		if (n==0&&m==0)
			break;
		go[0][0]=0;
		for (i=1;i<=n;i++)
		{
			go[i][0]=0;
			for (j=1;j<=m;j++)
			{
				scanf("%d",&go[i][j]);
		//		cout<<go[i][j]<<"   ";
			}
		//	cout<<endl;
		}
		
		int dp[111];
		memset(dp,0,sizeof(dp));
		
		for (i=1;i<=n;i++)
		{
		
			for (j=m;j>=0;j--)
			{
				for (k=1;k<=j;k++)
				{
					dp[j]=max(dp[j],dp[j-k]+go[i][k]);
				}
			}
		}
		
		
		printf("%d\n",dp[m]);
	}


	return 0;
}