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
    //入力
    fscanf(STDIN, "%d", $n);
    fscanf(STDIN, "%d %d", $t, $a);
    $array_h = explode(" ", trim(fgets(STDIN)));
    //気温の計算
    for ($i=0; $i < $n; $i++) { 
        $array_h[$i] = $t - (int)$array_h[$i]*0.006;
    }
    //指定値との比較
    for ($i=0; $i < $n; $i++) { 
        $array_h[$i] = abs($a - $array_h[$i]);
    }
    
    $temp = 999;
    $ans;
    foreach ($array_h as $key => $value) {
        if ($temp > $value) {
            $temp = $value;
            $ans = $key + 1;
        }
    }

    echo $ans."\n";