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 n = read_vec()[0];
    let ta: Vec<i64> = read_vec();
    let h: Vec<u64> = read_vec();
    
    let mut min_index = 0;
    let mut min = -1.;
    for i in 0..n {
        let tt = h[i as usize] as f64 * 0.006;
        let m = ta[0] as f64 - tt - ta[1] as f64;
        let m = if m < 0. {
            m * -1.
        } else {
            m
        };
        if min == -1. {
            min = m;
            min_index = i;
        } else {
            if min > m {
                min = m;
                min_index = i;
            }
        }
    }
    println!("{}", min_index + 1);
}

fn read_vec<T>() -> Vec<T> where T: std::str::FromStr,
          <T as std::str::FromStr>::Err: std::fmt::Debug
{
    let mut s = String::new();
    stdin().read_line(&mut s).unwrap();
    
    s.trim().split(" ").map(|s| s.parse().unwrap()).collect::<Vec<T>>()
}