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 Python (3.8.2) (judge verdict: Accepted)

n, k = list(map(int, input().split()))
c = {}
cnts = []

for i in range(n):
    a, b = list(map(int, input().split()))
    if a in c:
        cnts[c[a]][1] += b
    else:
        c[a] = len(cnts)
        cnts.append([a, b])

cnts = sorted(cnts, reverse=True)

s = 0
while True:
    si = cnts.pop()
    s += si[1]

    if s >= k:
        print(si[0])
        break