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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define MIN(a,b) ((a) <= (b) ? (a) : (b))
#define ALL(v) (v).begin(), (v).end()
#define SORT(v) sort( ALL(v) )

using namespace std;
using ll = long long;
using P = pair<int,int>;

ll cnt[110000]{};
int main()
{


    ll n,k; cin >> n >> k;
    for(ll i = 0 ; i<n ; i++)
    {
        ll a,b; cin >> a>>b;
        cnt[a]+=b;
    }

    ll curr = 0 ;
    for(ll i = 1 ; i<=n ; i++)
    {
        curr+=cnt[i];
        if(curr>=k)
        {
            cout<<i<<endl;
            break;
        }
    }
    return 0;
}