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.io.PrintWriter; 
import java.util.Scanner; 

public class Main
{
	static Scanner in; 
	static PrintWriter out; 

	static void solve()
	{
		Scanner stdIn = new Scanner(System.in);
		int N = stdIn.nextInt();
		int T = stdIn.nextInt();
		int A = stdIn.nextInt();
		int[] H = new int[N];
		for(int i = 0; i < N; i++)
		{
			H[i] = stdIn.nextInt();
		}
		int answer = 1;
		int near_A = (int)Math.abs(A - (T - (H[0] * 0.006)));
		for(int i = 1; i < N; i++)
		{
			if(near_A > Math.abs(A - (T - (H[i] * 0.006))))
			{
				answer = i + 1;
				near_A = (int)Math.abs(A - (T - (H[i] * 0.006)));
			}
		}
		System.out.println(answer);
	}

	public static void main(String[] args) 
	{ 
		in = new Scanner(System.in); 
		out = new PrintWriter(System.out); 
		solve(); 
		out.flush(); 
		out.close(); 
		in.close(); 
	} 
}