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: Accepted)

#include<bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < (n); i++)

int int_len(int n) {
  int s=0;
  while(n!=0) s++, n/=10;
  return s;
}

int int_sum(int n) {
  int m=0,s=0,a=n;
  while(a!=0) s++, a/=10;
  for(int i=s-1;i>=0;i--) m+=n/((int)pow(10,i))-(n/((int)pow(10,i+1)))*10;
  return m;
}

int vec_sum(vector<int> v){
  int n=0;
  for(int i=0;i<v.size();i++) n+=v[i];
  return n;
}

int main() {
  double n,t,a,x=1000,y;
  cin>>n>>t>>a;
  vector<double> v(n);
  rep(i,n) cin>>v[i];
  rep(i,n){
    if(abs(a-(t-v[i]*0.006))<x){
      x=abs(a-(t-v[i]*0.006));
      y=i;
    }
  }
  cout<<y+1<<endl;
}