Problem: Takahashi is at an all-you-can-eat restaurant.

The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i.

The restaurant has the following rules:

* You can only order one dish at a time. The dish ordered will be immediately served and ready to eat.
* You cannot order the same kind of dish more than once.
* Until you finish eating the dish already served, you cannot order a new dish.
* After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served.



Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant.

What is the maximum possible happiness achieved by making optimal choices?

Constraints

* 2 \leq N \leq 3000
* 1 \leq T \leq 3000
* 1 \leq A_i \leq 3000
* 1 \leq B_i \leq 3000
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N T
A_1 B_1
:
A_N B_N


Output

Print the maximum possible happiness Takahashi can achieve.

Examples

Input

2 60
10 10
100 100


Output

110


Input

3 60
10 10
10 20
10 30


Output

60


Input

3 60
30 10
30 20
30 30


Output

50


Input

10 100
15 23
20 18
13 17
24 12
18 29
19 27
23 21
18 20
27 15
22 25


Output

145

Solution (in JAVA):

Solution:
import java.util.ArrayList;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Scanner;
import java.util.TreeMap;
class Main{


	static final int MOD = 1000000007;


	static ArrayList<ArrayList<Pair>> map;
	static TreeMap<Integer,Integer> ans; 
	static int maxnum;

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);			//文字の入力

		int n = sc.nextInt();
		int t = sc.nextInt();

		int[][] dp = new int[n+1][t+1];				//i番目までの料理で、j分以内に完食できる美味しさの合計の最大値

		ArrayList<Pair> pairs = new ArrayList<Pair>();

		for(int i = 0;i < n;i++){
			int a = sc.nextInt();
			int b = sc.nextInt();
			Pair pair = new Pair(a, b);
			pairs.add(pair);

		}
		Collections.sort(pairs);

//		for(int i = 0;i < n;i++){
//			Pair pair = pairs.get(i);
//			System.out.println(pair.from + " " + pair.end);
//		}

		int ans = 0;
		for(int i = 0;i < n;i++){
			for(int j = 0;j < t;j++){
				int time = pairs.get(i).from;
				int content = pairs.get(i).end;
				if(i == 0){
					if(j-time >= 0){
						dp[i][j] =  content;
						ans = Math.max(ans, dp[i][j]);
					}
				}else{
					dp[i][j] = dp[i-1][j];
					if(j-time >= 0){
						dp[i][j] = Math.max(dp[i][j],dp[i-1][j-time] + content);
						ans = Math.max(ans, dp[i][j]);

					}
				}
			}
		}
		
		for(int i = 0;i < n;i++){
			if(i == 0){
				ans = Math.max(ans,  pairs.get(i).end);
			}else{
				ans = Math.max(ans, dp[i-1][t-1] + pairs.get(i).end);
			}
		}
		
//	
//		for(int i = 0;i <= n;i++){
//			for(int j = 0;j < t;j++){
//				System.out.print(dp[i][j] + " ");
//			}
//			System.out.println();
//		}
		System.out.println(ans);






	}


	static void sieve(ArrayList<Long> list){
		int n = 50000000;
		boolean[] is_prime = new boolean[n+1];
		int[] prime = new int[n];
		for(int i= 0;i <=n;i++){
			is_prime[i] = true;
		}
		list.add((long) 1);
		for(int i = 2;i <= n;i++){
			if(is_prime[i]){
				list.add((long)i);
				for(int j = 2*i;j <= n;j+=i){
					is_prime[j] = false;
				}
			}
		}



	}




	static int upperbond(int k,int min,int[] data){		//kより小さい最大の値をdataの中から探し、返す二分探索
		int max = data.length;
		//		if(min == data.length-1){
		//			if(data[min] > k){
		//				return min;
		//			}
		//		}

		while(max-min > 1){
			int mid = (max+min)/2;
			if(data[mid] >= k){
				max = mid;
			}else{
				min = mid;
			}
		}

		return max;
	}

	static int lowerbond(int k,int min,int[] data){		//kより大きい最小の値をdataの中から探し、返す二分探索
		int max = data.length;

		while(max-min > 1){
			int mid = (max+min)/2;
			if(data[mid] >= k){
				max = mid;
			}else{
				min = mid;
			}
		}
		return min;
	}



	static int gcd(int a,int b){				//最大公約数を返す
		if(b == 0){
			return a;
		}else{
			return gcd(b, a%b);
		}
	}
	static long gcd(long a,long b){
		if(b == 0){
			return a;
		}else{
			return gcd(b, a%b);
		}
	}



	static long lcm (long a, long b) {
		long g = gcd(a,b);
		return a/g*b;
	}




}

class Town{
	int index;
	int x ;
	int y;
	public Town(int index,int x,int y) {
		this.index = index;
		this.x = x;
		this.y = y;
		// TODO 自動生成されたコンストラクター・スタブ
	}


}


class Edge  implements Comparable{

	int index;
	HashSet<Integer> hen;
	HashSet<Integer> used;
	HashMap<Integer, Integer> map;
	int size;


	public Edge(int index) {
		// TODO 自動生成されたコンストラクター・スタブ
		this.index = index;
		hen = new HashSet();
		used = new HashSet<Integer>();
		map = new HashMap<Integer,Integer>();
	}

	public int compareTo(Object other) {
		Edge otherpair = (Edge)other;

		return   otherpair.hen.size() - hen.size();
	}
}

class Food implements Comparable{

	int minits;
	int score;
	double cospa;

	public Food(int from,int end,double c) {
		this.minits = from;
		this.score = end;
		this.cospa = c;
		// TODO 自動生成されたコンストラクター・スタブ
	}

	@Override
	public int compareTo(Object other) {
		Food otherpair = (Food)other;
		int dif = Double.compare(otherpair.cospa, cospa);
		return   dif;
	}

}

class Pair implements Comparable{
	int from;
	int end;
	public Pair(int from,int end) {
		this.from = from;
		this.end = end;
		// TODO 自動生成されたコンストラクター・スタブ
	}

	@Override
	public int compareTo(Object other) {
		Pair otherpair = (Pair)other;

		return  from - otherpair.from;
	}








}