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>

#define SIZE 100001

int main(){
  int n,k;
  scanf("%d", &n);
  scanf("%d", &k);

  int a[SIZE],b[SIZE];
  long c[SIZE] = {0};
  for(int i=0; i<n; i++){
    scanf("%d", &a[i]);
    scanf("%d", &b[i]);
    c[a[i]] += b[i];
  }

  long num = 0;
  for(int i=0; ; i++){
    num += c[i];
    if(num>=k){
      printf("%d\n", i);
      return 0;
    }
  }

  return 0;
}