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)

#include <bits/stdc++.h>
#define be(v) (v).begin(),(v).end()
#define pb(q) push_back(q)
#define era(t) t.erase(unique(be(t)),t.end())
#define doublecout(a) cout<<fixed<<setprecision(10)<<a<<endl;
typedef long long ll;
using namespace std;
const ll mod=1000000007,mod9=1000000009;
template <class T>inline T lcm(T a,T b){return (a*b/__gcd(a,b));}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n,ans;
    double t,num=1e9,a;
    cin>>n>>t>>a;
    double h;
    for(int i=1;i<=n;i++){
        cin>>h;
        if(abs(t-h*0.006-a)<num){
            ans=i;
            num=abs(t-h-0.006-a);
        }
    }
    cout << ans<<endl;
    return 0;
}