import java.io.BufferedWriter; import java.io.FileWriter; import java.io.InputStream; import java.io.PrintWriter; import java.lang.reflect.Array; import java.math.BigDecimal; import java.math.MathContext; import java.util.ArrayDeque; import java.util.ArrayList; import java.util.Arrays; import java.util.Collections; import java.util.Comparator; import java.util.Deque; import java.util.HashMap; import java.util.HashSet; import java.util.Iterator; import java.util.List; import java.util.Map; import java.util.Map.Entry; import java.util.PriorityQueue; import java.util.Queue; import java.util.Random; import java.util.Scanner; import java.util.Set; import java.util.Stack; import java.util.TreeMap; import java.util.TreeSet; import static java.util.Comparator.*; public class Main { public static void main(String[] args) { PrintWriter out = new PrintWriter(System.out); Solver solver = new Solver(System.in, out); solver.solve(); out.close(); } } class Solver { Scanner sc; PrintWriter out; public Solver(InputStream in, PrintWriter out) { sc = new Scanner(in); this.out = out; } // ================================================================== int[][][] dp = new int[2][5010][2]; // [交互に使う][金額][次にタダでもらえるなら 1 ] // [5000][5000][2] は取らない・・・ List list = new ArrayList<>(); public void solve() { int N = ni(); int K = ni(); int p, d; for (int i = 0; i < N; i++) { p = ni(); d = ni(); list.add(new PP(p, d)); } list.sort(comparing(PP::getKey, reverseOrder())); for (int i = 0; i < 5010; i++) { dp[0][i][0] = -1000000000; dp[0][i][1] = -1000000000; dp[1][i][0] = -1000000000; dp[1][i][1] = -1000000000; } dp[0][0][0] = 0; int from = 0, to = 1; for (int i = 0; i < N; i++) { for (int j = 0; j <= K; j++) { // 買わない かつ もらわない dp[to][j][0] = Math.max(dp[to][j][0], dp[from][j][0]); dp[to][j][1] = Math.max(dp[to][j][1], dp[from][j][1]); // 買う if((j + list.get(i).key) <= K) { // dp[to][j + PD[i][0]][0] = Math.max(dp[to][j + PD[i][0]][0], // dp[from][j][0] + PD[i][1]); dp[to][j + list.get(i).key][1] = Math.max(dp[to][j + list.get(i).key][1], dp[from][j][0] + list.get(i).val); dp[to][j + list.get(i).key][1] = Math.max(dp[to][j + list.get(i).key][1], dp[from][j][1] + list.get(i).val); } // もらう dp[to][j][0] = Math.max(dp[to][j][0], dp[from][j][1] + list.get(i).val); } from = (from + 1) % 2; to = (to + 1) % 2; } int ans = 0; for (int i = 0; i <= K; i++) { // out.println("dp[" + from + "][" + i + "][0] = " + dp[from][i][0]); // out.println("dp[" + from + "][" + i + "][1] = " + dp[from][i][1]); ans = Math.max(ans, dp[from][i][0]); ans = Math.max(ans, dp[from][i][1]); // out.println(" --> ans = " + ans); } out.println(ans); } class PP{ public int key, val; public PP(int key, int val) { this.key = key; this.val = val; } public int getKey() { return key; } public void setKey(int key) { this.key = key; } public int getVal() { return val; } public void setVal(int val) { this.val = val; } } // ------------------------------------------ // 入力 // ------------------------------------------ public int ni() { return sc.nextInt(); } public long nl() { return sc.nextLong(); } public String ns() { return sc.next(); } public char[] nc() { return sc.next().toCharArray(); } public int[] ndi(int N) { int[] ans = new int[N]; for (int i = 0; i < N; i++) { ans[i] = ni(); } return ans; } public long[] ndl(int N) { long[] ans = new long[N]; for (int i = 0; i < N; i++) { ans[i] = nl(); } return ans; } public String[] nds(int N) { String[] ans = new String[N]; for (int i = 0; i < N; i++) { ans[i] = ns(); } return ans; } public char[][] ndc(int N) { char[][] ans = new char[N][]; for (int i = 0; i < N; i++) { ans[i] = nc(); } return ans; } public int[][] nddi(int N, int S) { int[][] ans = new int[N][S]; for (int i = 0; i < N; i++) { for (int j = 0; j < S; j++) { ans[i][j] = ni(); } } return ans; } }