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 PHP7 (7.0.15) (judge verdict: Accepted)

<?php

function input() {
    return trim(fgets(STDIN));
}
function input_array() {
    return explode(' ', input());
}

$n = input();
list($t, $a) = input_array();
$hs = array_map(function($key, $height) use ($t, $a) {
    return ['key' => $key, 'temperature_diff' => abs($t - $height * 0.006 - $a)];
}, range(1, $n), input_array());

usort($hs, function($a, $b) {
   return $a['temperature_diff'] <=> $b['temperature_diff'];
});
$hs = array_values($hs);

echo $hs[0]['key'] . "\n";exit;