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: Accepted)

using System;
using System.Linq;

class Program
{
    static void Main(string[] args)
    {
        // 宮殿の設置候補の数を表します 問題文 N.
        int placeCount = int.Parse(Console.ReadLine());

        // 気温を取得します 問題文 T, A.
        var parameters = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
        
        // 標高を表します 問題文 Hi.
        var elevations = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToList();

        // 問題文 T.
        var T = parameters[0];
        // 問題文 A.
        var fetchTemperature = parameters[1] * 1000;
        
        // 何番目に宮殿を建てるかを表します.
        var result = 0;
        // もっとも近い平均気温を求めるために使用します.
        var score = int.MaxValue;

        foreach(var elememt in elevations.Select((e, index) => new { Value = e, Index = index } ))
        {
            // xメートル時の平均気温 T - x * 0.006.
            var temperature = (int)(T * 1000 - elememt.Value * 1000 * 0.006);
            
            // 前回計算したものより差分が小さいかを計算し、前回の評価より良い評価であれば記憶します.
            var _ = Math.Abs(fetchTemperature - temperature);
            if( _ > score ) continue;

            score = _;
            result = elememt.Index + 1;
        }

        Console.WriteLine(result);
    }
}