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 Haskell (GHC 7.10.3) (judge verdict: Accepted)

import Data.List

solve :: Int -> [(Int,Int)] -> Int
solve k ab = fst $ so!!i
  where
    i  = fst . last . takeWhile (\t -> snd t < k) $ zip [0..] sl
    sl = scanl (\a t -> a + snd t) 0 so
    so = sortOn fst ab

main :: IO ()
main = do
    [n,k] <- map read . words <$> getLine :: IO [Int]
    ab <- map ((\[a,b] -> (a,b)) . (map read . words))
        . lines <$> getContents :: IO [(Int,Int)]
    print $ solve k ab