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)

use std::io::stdin;

fn main() {
    let mut n = String::new();
    stdin().read_line(&mut n).unwrap();
    let n: usize = n.trim().parse().unwrap();

    let mut ta = String::new();
    stdin().read_line(&mut ta).unwrap();
    let ta: Vec<isize> = ta.trim().split_whitespace().flat_map(str::parse).collect();
    let (t, a) = (ta[0] * 1000, ta[1] * 1000);


    let mut harr = String::new();
    stdin().read_line(&mut harr).unwrap();
    let harr: Vec<_> = harr.trim().split_whitespace().flat_map(str::parse::<isize>).map(|h| {
        let t = t - a - h * 6;
        if t >= 0 { t } else { -t }
    }).collect();
    let mut result = None;
    for (i, &h) in harr.iter().enumerate() {
        if result == None {
            result = Some((i, h));
        } else if let Some((_, oh)) = result {
            if oh > h {
                result = Some((i, h));
            }
        }
    }
    if let Some((i, _)) = result {
        println!("{}", i + 1);
    }
}