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 PHP (5.6.30) (judge verdict: Accepted)

<?php
fscanf(STDIN,'%d',$N);
fscanf(STDIN,'%d%d',$T,$A);
$H=explode(" ",trim(fgets(STDIN)));
$X=10000;
$C=0;
for ($i=0; $i <=$N-1 ; $i++) {
  // code...
  $temp=$T-$H[$i]*0.006;
  if(abs($temp-$A)<$X){
    $X=abs($temp-$A);
    $C=$i;
  }
}
echo $C+1;

 ?>