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.

-----Output-----
Print the K-th smallest integer in the array after the N operations.

-----Sample Input-----
3 4
1 1
2 2
3 3

-----Sample Output-----
3

The resulting array is the same as the one in the problem statement.

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