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 C# (Mono 4.6.2.0) (judge verdict: Runtime Error)

using System;
using System.Linq;

namespace abc061_c
{
    class Program
    {
        static void Main()
        {
            long[] x = Console.ReadLine().Split().Select(long.Parse).ToArray();
            long[] a = new long[x[0]];
            for (int i = 0; i < x[0]; i++)
            {
                int[] b = Console.ReadLine().Split().Select(int.Parse).ToArray();
                a[b[0] - 1] += b[1];
            }
            int ret = 0;
            x[1]--;
            while (x[1] > 0)
            {
                x[1] -= a[ret];
                ret++;
            }
            if (x[1] != 0) ret--;
            Console.WriteLine(a[ret]);
        }
    }
}