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: Wrong Answer)

import java.util.Scanner;

public class Main {

    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        int T = sc.nextInt();
        int A = sc.nextInt();
        int[] h = new int[N];
        for (int i = 0; i < h.length; i++) {
            h[i] = sc.nextInt();
        }
        sc.close();

        int ht;               // 対象地の気温
        int abs = 0;          // 対象地の目標気温差
        int bestAbs = 1000;   // 候補地の目標気温差
        int hn  = 0;          // 候補地の番号

        // 目標気温差が最小の候補地を選定
        for (int i = 0; i < h.length; i++) {

            ht = T - (h[i] * 6 / 1000);
            abs = Math.abs(A-ht);

            if(bestAbs > abs) {
                hn = i;
                bestAbs = abs;
            };
        }
        System.out.println(hn + 1);
    }
}