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 Lua (5.3.2) (judge verdict: Accepted)

local n = tonumber(io.read())
local inp = io.read()
local T,a
for i=1,string.len(inp),1 do
  if inp:sub(i,i)==' ' then
    T = tonumber(inp:sub(1,i-1))
    a = tonumber(inp:sub(i+1,string.len(inp)))
  end
end
local hline = io.read()
h={}
string.gsub(hline,"(%S+)", function (v) table.insert(h,tonumber(v)) end)
t={}
for i=1,n,1 do
  t[i]=T-0.006*h[i]
end
res = 1
ti = t[1]
for i=1,n,1 do
  if math.abs(a-ti)>math.abs(a-t[i]) then
    res = i
    ti = t[i]
  end
end
print(res)