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 Rust (1.15.1) (judge verdict: Accepted)

fn main(){
  let _: usize = read();
  let ta: Vec<f64> = read_vec();
  let t: f64 = ta[0];
  let a: f64 = ta[1];
  let h: Vec<f64> = read_vec();
  let mut sh: Vec<(usize,f64)> = h.iter().enumerate().map(|(i, &x)| (i+1, (t - x * 0.006 - a).abs())).collect();
  sh.sort_by(|a, b| a.1.partial_cmp(&(*b).1).unwrap());
  println!("{}", sh[0].0);
}

fn read<T>() -> T
  where T: std::str::FromStr,
        T::Err: std::fmt::Debug
{
  let mut buf = String::new();
  std::io::stdin().read_line(&mut buf).expect("failed to read");
  buf.trim().parse().unwrap()
}

fn read_vec<T>() -> Vec<T>
  where T: std::str::FromStr,
        T::Err: std::fmt::Debug
{
  let mut buf = String::new();
  std::io::stdin().read_line(&mut buf).expect("failed to read");
  buf.split_whitespace().map(|e| e.parse().unwrap()).collect()
}