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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.lang.reflect.Array;
import java.util.*;

/**
 * Created by Santa.
 */
public class Main {

  static int N;
  static int K;
  static long Q;
  static int A;
  static long B;
  static long C;
  // static int[][] map;
  static double min = 9999999;
  static long ans = 0;

  public static void main(String[] args) {
    Scanner scanner = new Scanner(System.in);


    int N = scanner.nextInt();

    int T = scanner.nextInt();
    int A = scanner.nextInt();

    int map[] = new int[N];


    int ans = -1;
    for (int i = 0; i < N; i++) {
      map[i] = scanner.nextInt();
      double temp = T - map[i] * 0.006;
      if(min > Math.abs(A - temp)){
        ans = i + 1;
        min = Math.abs(A - temp);
      }
    }
    System.out.println(ans);
  }
}