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

fscanf(STDIN, "%d", $n);
fscanf(STDIN, "%d %d", $t, $a);
$h_arr = explode(' ', trim(fgets(STDIN)));

$temp_arr = [];

foreach ($h_arr as $key => $h) {
    $tmp_arr[] = $t - $h * 0.006;
}

$min = abs($tmp_arr[0] - $a);
$min_index = 0;
for ($i = 1; $i < $n; ++$i) {
    $tmp = abs($tmp_arr[$i] - $a);
    if ($tmp < $min) {
        $min = $tmp;
        $min_index = $i;
    }
}

echo $min_index + 1;