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: Runtime Error)

'use strict'
function Main(input) {
  const ar = input.split("\n").map(x => x.split(" "));
  const N = ar[0][0];
  const [T, A] = ar[1];
  const H = ar[2];

  const a = [];

  for (let i = 0; i < H.length; i++) {
    a.push([i, Math.abs(T * 1000 - H[i] * 6 - A * 1000)]);
  }

  console.log(a.reduce((x, y) => x[1] < y[1] ? x : y)[0] + 1);

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