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
$l1 = fgets(STDIN);
$l2 = fgets(STDIN);
$l3 = fgets(STDIN);
$n = $l1;
$arr2 = explode(' ', $l2);
$arr3 = explode(' ', $l3);
$t = $arr2[0];
$a = $arr2[1];
$ret = 10000;
$ans = 0;
for ($i = 1; $i <= count($arr3); $i++) {
    $ave = $t - $arr3[$i-1] * 0.006;
    $ret_tmp = abs($a - $ave);
    if ($ret_tmp < $ret) {
        $ret = $ret_tmp;
        $ans = $i;
    }
}

echo $ans . PHP_EOL;