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: Wrong Answer)

<?php
$c = fgets(STDIN);
$t = explode(" ", fgets(STDIN));
$h = explode(" ", fgets(STDIN));
$place = 0;
for ($i = 0; $i < $c; $i++) {
    $temp = 0 - ($t[0] - $h[$i] * 0.0006) + $t[1];
    if ( ctype_digit($temp) ) {
        $temp = abs($temp);
    }
    if ( $i === 0 ) {
        $place = $i + 1;
        $temp2 = $temp;
        continue;
    }
    if ( $temp2 > $temp ) {
        $place = $i + 1;
        $temp2 = $temp;
    }
}
echo $place;
?>