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 Go (1.6) (judge verdict: Accepted)

package main

import "fmt"

func main() {
	maxi := 100000 + 1
	var n, k int
	var a, b int
	fmt.Scan(&n, &k)
	bucket := make([]uint64, maxi)
	for i := 0; i < n; i++ {
		fmt.Scan(&a, &b)
		bucket[a] += uint64(b)
	}
	sum := uint64(0)
	for i := 1; i <= maxi; i++ {
		sum += bucket[i]
		if uint64(k) <= sum {
			fmt.Println(i)
			break
		}
	}
}