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 (2.3.3) (judge verdict: Accepted)

#!/usr/bin/ruby
# encoding: utf-8

N = gets.to_i
T,A = gets.split.map(&:to_i)
H = gets.split.map(&:to_i)

def temp t,x
  return t-x*0.006
end

diff = Array.new(N,0)

(0..N-1).each do |i|
  diff[i] = (A - temp(T,H[i])).abs
end

ans = -1
min = diff[0]
(0..N-1).each do |i|
  if min >= diff[i]
    min = diff[i]
    ans = i + 1
  end
end

p ans