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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<cstdio>
const int MAX = 100000;

int main() {
	int N;
	long long K;
	scanf("%d %lld\n", &N, &K);

	long long num[MAX+1] = {0};

	int a, b;
	for (int i = 0; i < N; i++) {
		scanf("%d %d", &a, &b);

		num[a] += b;
	}

	for (int i = 1; i <= MAX; i++) {
		K -= num[i];

		if (K <= 0) {
			printf("%d\n", i);
			break;
		}
	}
}