Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

3 4
1 1
2 2
3 3

Sample Output 1

3

The resulting array is the same as the one in the problem statement.

Sample Input 2

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

Sample Output 2

1

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;
public class Main {
    public static void main(String[] args) {
		try{
			Scanner sc = new Scanner(System.in);
			int N = sc.nextInt();
			long K = sc.nextLong();
			int[] list = new int[100001];
			for(int i = 0 ; i < N ; i++){
				int a = sc.nextInt();
				list[a] += sc.nextInt();
			}
			for(int i = 1; i < 100001; i++){
				K -= list[i];
				if(K <= 0){
					System.out.println(i);
					break;
				}
			}
			
		}catch(Exception e){
			e.printStackTrace();
		}
	} 
}