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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>
int a[100005];
int main()
{
    int i,j;
    int n,k;
    int temp;
    int x,y;
    scanf("%d%d",&n,&k);
    for(i=1;i<=n;i++)
        a[i]=0;
    for(i=1;i<=n;i++)
    {
        scanf("%d",&x);
        scanf("%d",&y);
        a[x]=a[x]+y;
    }
    for(i=1;i<=n;i++)
    {
        k=k-a[i];
        if(k<=0)
        {
            printf("%d",i);
            break;
        }
    }
    return 0;
}