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: Wrong Answer)

<?php
$n  = trim(fgets(STDIN));
$ta = explode(' ', trim(fgets(STDIN)));
$t  = $ta[0];
$a  = $ta[1];
$h  = explode(' ', trim(fgets(STDIN)));

$min   = 100000;
$min_i = -1;
for ($i = 1; $i <= $n; $i++) {
    $ht = $t - $h[$i] * 0.006;
    $diff = $ht > $a ? $ht - $a : $a - $ht;
    if ($diff < $min) {
        $min   = $diff;
        $min_i = $i;
    }
}

print $min_i;