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>) {
	readLine()
	val (t, a) = readLine()!!.split(" ")
	val T : Int = t.toInt()
	var A : Int = a.toInt()
	val l = readLine()!!.split(" ")
	val list : MutableList<Int> = mutableListOf()
	var calc1 : Double
	var calc2 : Double
	var calc3 : Double = 0.0
	var result : Int = 0
	for (i in 0..l.size - 1) {
		list.add(l[i].toInt())
	}
	for (i in 0..list.size - 1) {
		calc1 = T - (list[i] * 0.006)
		if (A >= calc1) {
			calc2 = A - calc1
		} else {
			calc2 = calc1 - A
		}
		if (i == 0) calc3 = calc2
		if (calc3 >= calc2) {
			result = i + 1
			calc3 = calc2
		}
	}
	println("${result}")
}