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;
class Program
{
    static void Main(string[] args)
    {
        long[] n = Console.ReadLine().Split().Select(long.Parse).ToArray();
        long[] s = new long[long.MaxValue];
        for (long i = 0; i < n[0]; i++)
        {
            long[] x = Console.ReadLine().Split().Select(long.Parse).ToArray();
            s[(long)x[0] - (long)1] += (long)x[1];
        }
        long f = (long)n[(long)1];
        long j;
        for (j = 0; j < n[1] && f > 0; j++)
        {
            f -= (long)s[(long)j];
        }
        Console.WriteLine(j);
    }
}