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: Wrong Answer)

# https://atcoder.jp/contests/abc113/tasks/abc113_b
# Ruby 2nd Try
HOSEI = 0.006
n = gets.chomp.to_i
abss = Array.new(n,0.0)
t,a = gets.chomp.split(' ').map(&:to_f)
hi = gets.chomp.split(' ').map(&:to_f)
for j in 0..(n-1) do
    abss[j]=((t-hi[j]*HOSEI)-a).abs
end
answer = 0
avemin = abss[0]
for j in 1..(n-1) do
    if abss[j] < avemin
        answer = j
    end
end
answer = answer+1
puts(answer)