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: Accepted)

let rec f n t a ans lst =
  match n with
  | 0 -> ans
  | _ ->
    let buf = float_of_int (t) -. float_of_int (List.nth lst n) *. 0.006 in
    let ansT = float_of_int (t) -. float_of_int (List.nth lst ans) *. 0.006 in
    if abs_float (float_of_int (a) -. buf) < abs_float (float_of_int (a) -. ansT)
    then f (n-1) t a n lst
    else f (n-1) t a ans lst
let () =
  Scanf.scanf "%d\n"
    (fun n -> Scanf.scanf "%d %d\n"
        (fun t a ->
           Array.init n (fun _ -> Scanf.scanf " %d" (fun x -> x))
           |> Array.to_list
           |> f (n-1) t a 0
           |> (+) 1))
  |> print_int