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.*;
import java.util.stream.*;

public class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
        // programming
        int n = Util.getInputInteger(sc);
        int t = Util.getInputInteger(sc);
        int a = Util.getInputInteger(sc);
        int min_diff = Integer.MAX_VALUE;
        int min_index = -1;
        for (int i = 0; i < n; i++) {
            int h = Util.getInputInteger(sc);
            int temp = 1000 * t - h * 6;
            int diff = 1000 * a - temp;
            if (diff < min_diff) {
                min_index = i + 1;
                min_diff = diff;
            }
        }

        Util.output(String.valueOf(min_index));
	}
}

// =========common=========
class Util {
	public static String getInputString(Scanner sc) {
		return sc.next();
	}

	public static int getInputInteger(Scanner sc) {
		return Integer.parseInt(sc.next());
	}

	public static void output(String... params) {
		boolean isInit = true;
		String str = "";
		for (String s : params) {
			if (!isInit) {
				str += " ";
			}
			str += s;
			isInit = false;
		}
		System.out.println(str);
	}

    public static int[] toIntegerList(String[] ss) {
        return Stream.of(ss).mapToInt(Integer::parseInt).toArray();
    }

    public static String[] toList(String s) {
        String[] ret = s.split("");
        return ret;
    }

    public static int sum(int[] vals) {
        int sum = 0;
        for (int val : vals) {
            sum += val;
        }
        return sum;
    }

    public static int[] sort(int[] vals, boolean isAsc) {
        Arrays.sort(vals);
		if (isAsc) {
			return vals;
		}
        int[] ret = new int[vals.length];
        for (int i = 0; i < vals.length; i++) {
            ret[vals.length - i - 1] = vals[i];
        }
		return ret;
	}

    public static void gc() {
        System.gc();
    }
}