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.util.*;
import java.lang.*;
 
public class Main{
	public static void main(String[] args){
    	Scanner scan = new Scanner(System.in);
      	int n = scan.nextInt(); //number of spot
      	int T = scan.nextInt(); //state temperature
      	int A = scan.nextInt(); // temperature that princess wants
      	int[] H = new int[n]; // list of height
      	for (int i = 0; i < n; i++){
        	H[i] = scan.nextInt();
        }
      	double[] t = new double[n]; //list of temperature
      	for (int i = 0; i < n; i++){
        	t[i] = T - 0.006 * H[i];
        }
      	double rest = Math.abs(t[0]-A);
      	int key = 0;
      	for (int i = 0; i < n; i++){
        	if(rest > Math.abs(t[i]-A)){
            	rest = Math.abs(t[i]-A);
              	key = i;
            }
        }
      	System.out.print(key + 1);
    }
}