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
// 整数の入力
fscanf(STDIN, "%d", $n);
// スペース区切りの整数の入力
fscanf(STDIN, "%d %d", $t, $a);

$format = "%d";
for ($i = 1; $i < $n; $i++) {
  $format .= " %d";
}
  //n個を配列に格納
$data = fscanf(STDIN, $format);

$min_dif = 1000;
$min_index = -1;

foreach ($data as $i => $d) {
  $temp = $t - $d * 0.006;
  if ($min_dif > abs($temp - $a)) {
    $min_index = $i;
    $min_dif = abs($temp - $a);
  }
}

echo $min_index + 1;

?>