using System;
using System.Collections.Generic;
using static Assistant.Input;
using static Assistant.Debug;
using System.Linq;
using Assistant;

namespace ABC145E
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = RInt;
            var T = RInt;

            int[] A = new int[N];
            int[] B = new int[N];
            for (int i = 0; i < N; i++)
            {
                A[i] = RInt;
                B[i] = RInt;
            }

            int[,] dp1 = new int[N, 6001];
            int[,] dp2 = new int[N, 6001];
            for (int i = 0; i < N - 1; i++)
            {
                int i_ = N - 1 - i;
                for (int j = 0; j <= T; j++)
                {
                    if (j < A[i]) dp1[i + 1, j] = dp1[i, j];
                    else dp1[i + 1, j] = Math.Max(dp1[i, j], dp1[i, j - A[i]] + B[i]);

                    if (j < A[i_]) dp2[i_ - 1, j] = dp2[i_, j];
                    else dp2[i_ - 1, j] = Math.Max(dp2[i_, j], dp2[i_, j - A[i_]] + B[i_]);
                }
            }

            Draw2D(dp1);
            Draw2D(dp2);

            int max = 0;
            for (int i = 0; i < N; i++)
            {
                //料理i以外をT-1以内に食べきれる合計
                for (int j = 0; j < T; j++)
                {
                    int cand = B[i];
                    if (i >= 0) cand += dp1[i, j];
                    if (i < N) cand += dp2[i, T - 1 - j];
                    max = Math.Max(max, cand);
                }
            }

            Console.WriteLine(max);
        }


    }


}

namespace Assistant
{
    static class Input
    {
        static List<string> line = new List<string>();
        static int index = 0;
        static String RNext()
        {
            if (line.Count <= index) line.AddRange(Console.ReadLine().Split());
            return line[index++];
        }
        public static int RInt => int.Parse(RNext());
        public static long RLong => long.Parse(RNext());
        public static int[] RInts => Console.ReadLine().Split().Select(int.Parse).ToArray();
        public static long[] RLongs => Console.ReadLine().Split().Select(long.Parse).ToArray();
        public static string RString => RNext();
        //以下未テスト
        public static int[] RIntsC(int c) => Enumerable.Repeat(0, c).Select(x => int.Parse(RNext())).ToArray();
        public static long[] RLongsC(int c) => Enumerable.Repeat(0, c).Select(x => long.Parse(RNext())).ToArray();
        public static char[][] RMap(int h) => Enumerable.Repeat(0, h).Select(x => Console.ReadLine().ToCharArray()).ToArray();
    }

    static class Debug
    {
        static public void Draw2D(int[,] map, int mode = 1)
        {
#if DEBUG
            int W = map.GetLength(0);
            int H = map.GetLength(1);

            int[,] map2 = new int[W + 1, H + 1];
            for (int i = 0; i < W + 1; i++)
            {
                for (int j = 0; j < H + 1; j++)
                {
                    if (i == 0 && j == 0) map2[i, j] = 0;
                    else if (i == 0) map2[i, j] = j - 1;
                    else if (j == 0) map2[i, j] = i - 1;
                    else map2[i, j] = map[i - 1, j - 1];
                }
            }

            for (int i = 0; i < W + 1; i++)
            {
                for (int j = 0; j < H + 1; j++)
                {
                    if (mode == 0) Console.Write(map2[i, j] % 10);
                    if (mode == 1) Console.Write(map2[i, j] + " ");
                }
                Console.WriteLine();
            }
            Console.WriteLine();
#endif
        }

        public static void Draw1D(int[] array, int mode = 0)
        {
#if DEBUG
            Console.WriteLine(string.Join(" ", array));
#endif
        }
    }
}


Measured memory_bytes: 151000