using static IO;
public class IO
{
public static IO Cin = new();
public static StreamReader reader = new(Console.OpenStandardInput());
public static StreamWriter writer = new(Console.OpenStandardOutput());
public static implicit operator string(IO _) => reader.ReadLine();
public static implicit operator char[](IO _) => reader.ReadLine().ToArray();
public static implicit operator int(IO _) => int.Parse(reader.ReadLine());
public static implicit operator double(IO _) => double.Parse(reader.ReadLine());
public static implicit operator string[](IO _) => reader.ReadLine().Split();
public static implicit operator int[](IO _) => Array.ConvertAll(reader.ReadLine().Split(), int.Parse);
public void Deconstruct(out int a, out int b) { int[] r = Cin; (a, b) = (r[0], r[1]); }
public void Deconstruct(out int a, out int b, out int c) { int[] r = Cin; (a, b, c) = (r[0], r[1], r[2]); }
public static void Loop(int end, Action<int> action, int start = 0, in int add = 1) { for (; start < end; start += add) action(start); }
public static object? Cout { set { writer.Write(value); } }
public static object? Coutln { set { writer.WriteLine(value); } }
public static void Main() { Program.Coding(); writer.Flush(); }
}
class Program
{
public static void Coding()
{
for (int n, k; ((n, k) = Cin) != (0, 0);)
{
int[][] arr = new int[n][];
Loop(n, i => arr[i] = Cin);
Dictionary<(int y, int x, int r), int> memo = new();
int dp(int y, int x, int remain)
{
if (y < 0) return remain > 0 ? int.MinValue / 2 : 0;
if (memo.TryGetValue((y, x, remain), out int ret)) return ret;
memo[(y, x, remain)] = ret = Math.Max(
dp(y - 1, x, remain-1) + arr[y][x],
dp(y - 1, x ^ 1, remain) + arr[y][x] + arr[y][x ^ 1]
);
return ret;
}
Coutln = Math.Max(dp(n - 1, 0, k), dp(n - 1, 1, k));
}
}
}
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