The Valentine's Day is coming, Mr. Beo wants to buy gifts for his girlfriend. Beo loves her so much that he wants to buy a special gift. However, Beo only has ~K~ VND in his pocket. He wants to use ~K~ Dong to buy gifts at the store. Help him choose the most expensive item he can afford

Input

• The first line gives integers ~N~ and ~K~. ~N~ (0 < N < ~10^{5}~, 0 < K <~10^{18}~, v < ~10^{4}~) is the number of items in the store and ~K~ is the amount Beo has.

• The ~ith~ line in the following ~N~ lines contains an integer who is the value of the ~ith~ item.

Output

• Output the number ~v~ as the price of the selected gift. If Beo cant buy any gift, output -1.

Sample Input:

5 100
10
20
30
40
50

Sample Output:

50