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 Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args: Array<String>) {

    val n = readLine()!!
    val array = readLine()!!.split(" ")
    val t = array[0].toInt()
    val abs = array[1].toInt()

    val list = readLine()!!.split(" ").map(String::toInt)

    var result: Pair<Int, Int> = Pair(1, Int.MAX_VALUE)

    for ((index, value) in list.withIndex()) {

        // 気温を求める
        // 頭悪くて演算ができていなさそう・・・
        // 落ち着いて考える。やはり絶対値しないと10と15は距離5なのに??
        // 2値の差は減算した後に絶対値を適用すればOK!!
        // 正値は通常計算、負値は反転して差分になり、前後逆転は絶対値で補正
        // 10 - 0 -> 10
        // 10 - 5 -> 5
        // 10 - (-2) -> 12
        // 10 - 15 -> -5 ...NG
        val x = t * 1000 - value * 6
        var sub = abs * 1000 - x
      if (sub < 0)
      	sub *= -1

        if (sub < result.second)
            result = Pair(index + 1, sub)
    }
    println(result.first)
}