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 OCaml (4.02.3) (judge verdict: Wrong Answer)

let _ = read_line()
let (t,a) = match read_line() |> Str.split (Str.regexp " ") with
| [t;a]->(int_of_string t,int_of_string a)
| _ -> assert false
let hs = read_line() |> Str.split (Str.regexp " ") |> List.map int_of_string

let _ =
  let (v,p,_) = List.fold_left (fun (v,p,i) h  ->
    let t = t*1000 - h*6 in
    let v1 = abs (t - a) in
    if v1 <= v then (v1,i,i+1) else (v,p,i+1)
  ) (500000000,-1,1) hs in
  Printf.printf "%d\n" p