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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;

class Program {
    static void Main(string[] args) {
        //入力
        int N = int.Parse(Console.ReadLine());

        string s = Console.ReadLine();
        string[] t = s.Split(' ');
        //数字の割り当て
        float T = float.Parse(t[0]);
        float A = float.Parse(t[1]);

        string h = Console.ReadLine();
        string[] h_split = h.Split(' ');
        //数字の割り当て
        float[] H = new float[N];
        for (int i = 0; i < N; i++) {
            H[i] = float.Parse(h_split[i]);
        }

        //その高さの温度
        float[] temp = new float[N];
        //差となる温度（絶対値）
        float[] diff = new float[N];
        //最小値を保存する用の変数
        float min_temp = 1145141919;
        int a = 0;

        //各地点において温度を求める
        for (int i = 0; i < N; i++) {
            temp[i] = T - H[i] * 0.006f;
            diff[i] = Math.Abs(A - temp[i]);
            if (i == 0) {
                min_temp = diff[0];
            } else {
                min_temp = Math.Min(diff[i], diff[i - 1]);
                if (diff[i] < diff[i - 1]) {
                    a = i;
                }
            }
        }

        //出力
        Console.WriteLine(a + 1);
    }
}