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 Ruby (2.7.1) (judge verdict: Wrong Answer)

n = gets.chomp.to_i
t, a = gets.chomp.split(' ').map(&:to_i)
list = gets.chomp.split(' ').map(&:to_i)

result = 0
temperature = 0

n.times do |i|
  temp = t - (list[i] * 0.006).to_i
  if i == 0
    result = i+1
    temperature = temp
    next
  end
  if (n.abs - temp.abs) == 0
    result = i+1
    break
  end

  if (n.abs > temp.abs && temp.abs > temperature.abs) || (temperature.abs > temp.abs && temp.abs > n.abs)
    result = i+1
    temperature = temp
  end
end

print result