Problem:
Score: 200 points

Problem Statement

A country decides to build a palace.

In this country, the average temperature of a point at an elevation of x meters is T-x \times 0.006 degrees Celsius.

There are N places proposed for the place. The elevation of Place i is H_i meters.

Among them, Princess Joisino orders you to select the place whose average temperature is the closest to A degrees Celsius, and build the palace there.

Print the index of the place where the palace should be built.

It is guaranteed that the solution is unique.

Constraints

1 \leq N \leq 1000

0 \leq T \leq 50

-60 \leq A \leq T

0 \leq H_i \leq 10^5

All values in input are integers.

The solution is unique.

Input

Input is given from Standard Input in the following format:

N
T A
H_1 H_2 ... H_N

Output

Print the index of the place where the palace should be built.

Sample Input 1

2
12 5
1000 2000

Sample Output 1

1

The average temperature of Place 1 is 12-1000 \times 0.006=6 degrees Celsius.

The average temperature of Place 2 is 12-2000 \times 0.006=0 degrees Celsius.

Thus, the palace should be built at Place 1.

Sample Input 2

3
21 -11
81234 94124 52141

Sample Output 2

3

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

// lcmとかはg++ -std=c++17 default.cppみたいなかんじで
//vector<vector<ll>> piyo(tate,vector<ll> (yoko));

#include <bits/stdc++.h>
#define mod 1000000007
#define INF 1000000000
#define ll long long
#define ln cout<<endl;
#define Yes cout<<"Yes"<<endl
#define No cout<<"No"<<endl
#define double long double
#define REP(i,m,n) for(ll i=(ll)(m);i<(ll)(n);i++)
#define rep(i,n) REP(i,0,n)
using namespace std;
ll target;

int main() {
    cin.tie(0);
   	ios::sync_with_stdio(false);

    ll maxi=0,f=0,mini=INF,sum=0;
    string str,str1,str2;
    ll i,w;
    double h;
    ll n,x,m;
    ll a,b,d,c;
    set<string> s;
    cin>>n>>h>>x;
    vector<ll> v(n);
    rep(i,n) cin>>v[i];
    rep(i,n){
        if(mini>abs(x-h-0.006*v[i])){
            f=i+1;
            mini=abs(x-h-0.006*v[i]);
        }
    }
    cout<<f<<endl;

    return 0;
}