Problem: There is an empty array. The following N operations will be performed to insert integers into the array. In the i-th operation (1≤i≤N), b_i copies of an integer a_i are inserted into the array. Find the K-th smallest integer in the array after the N operations. For example, the 4-th smallest integer in the array \\{1,2,2,3,3,3\\} is 3.

Constraints

* 1≤N≤10^5
* 1≤a_i,b_i≤10^5
* 1≤K≤b_1…+…b_n
* All input values are integers.

Input

Input is given from Standard Input in the following format:


N K
a_1 b_1
:
a_N b_N


Output

Print the K-th smallest integer in the array after the N operations.

Examples

Input

3 4
1 1
2 2
3 3


Output

3


Input

10 500000
1 100000
1 100000
1 100000
1 100000
1 100000
100000 100000
100000 100000
100000 100000
100000 100000
100000 100000


Output

1

Solution (in JAVA):

Solution:
import java.util.ArrayList;
import java.util.Comparator;
import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        long k = sc.nextLong();

        ArrayList<Number<Integer, Integer>> list = new ArrayList<>();

        for (int i = 0; i < n; i++) {
            int num = sc.nextInt();
            int work = sc.nextInt();
            list.add(new Number<Integer, Integer>(num, work));

        }

        sc.close();

        list.sort(Comparator.comparing(Number::getNum));

        for (int i = 0; i < n; i++) {
            int work = list.get(i).getWork();
            if (work >= k) {
                System.out.println(list.get(i).getNum());
                return;
            } else {
                k -= work;
            }
        }

    }

    static class Number<num, work> {
        public int num;
        public int work;

        public Number(int num, int work) {
            this.num = num;
            this.work = work;
        }

        public int getNum() {
            return num;
        }

        public int getWork() {
            return work;
        }
    }
}