Полуфинал Республиканской олимпиады Азербайджана 2018-2019
Big array of Dino
Once, when Dino was solving a problem related to arrays, he saw that the size of all arrays is at most 10^6
. Since Dino is a dinosaur, this number seemed very small to him. Therefore, he decided to create a big array.
Dino first creates an empty array and selects n pairs of numbers: (a[1]
, b[1]
), (a[2]
, b[2])
, ..., (a[n]
, b[n]
). Then for each of these pairs he inserts into array the number b[i] a[i]
times. For example,if the first pair is (3, 5), the number 5 will be inserted into array 3 times. After that, Dino decides to arrange this array in non-decreasing order, but since the array is very large, Dino's computer cannot perform this arrangement. He is interested in the k-th (the array is numbered starting from 1) number. Help Dino to find this number.
Input data
First line contains number n (1 ≤ n ≤ 10^5
). Each of the next n lines contains pair (a[i]
, b[i]
) (1 ≤ a[i]
, b[i]
≤ 10^5
). The last line contains number k. It is guaranteed that k-th number exists in array.
Output data
Print the k-th number in non-decreasing array.
Examples
3 1 2 3 6 2 1 3
2