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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

function main(arg) {
    var tmp = arg.split("\n");
    var N = parseInt(tmp[0]);
    var T = parseInt(tmp[1].split(" ")[0]);
    var A = parseInt(tmp[1].split(" ")[1]);
    var H = tmp[2].split(" ").map(n=>parseInt(n));
    var diffs = [];
    
    for(var i=0; i<H.length; i++) {
        diffs.push(Math.abs(A - (H[i] * 0.006) ));
    }
    
    var minDiff = Math.min(...diffs);
    var answer = diffs.indexOf(minDiff);
    
    console.log(answer + 1);
}

main(require('fs').readFileSync('/dev/stdin', 'utf8'));