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: Runtime Error)

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <stdbool.h>
#include <math.h>


int sort(const void *a, const void *b){
    return *(int*)a-*(int*)b ;
}

int main(void){
    int n,k,count=0;
    scanf("%d%d",&n,&k);
    int a[n],b[n],c[k];
    for (int i=0; i<n; i++){
        scanf("%d%d",&a[i],&b[i]);
        for (int j=0; j<b[i]; j++){
            if (a[i]<c[k-1] || count<k){
                c[count]=a[i];
                count++;
                qsort (c,n,sizeof(int),sort);
            }
        }
    }
    qsort (c,n,sizeof(int),sort);
    printf ("%d\n",c[k-1]);
	return 0 ;
}