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(inp) {
    var input = inp.split("\n");
    var n = Number(input[0]);
    var t = Number(input[1].split(' ')[0]);
    var a = Number(input[1].split(' ')[1]);
    var heights = input[2].split(' ').map(function(n) { return Number(n);});
    var diff = Number.MAX_VALUE;
    var index = -1;
    heights.forEach(function (h, i) {
        var d = Math.pow(t - h * 0.006, 2) - Math.pow(a, 2);
        if (d < diff) {
            diff = d;
            index = i; 
        }
    });
    console.log(index + 1);
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));