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)

function main(input) {
  const args = input.split('\n');
  const n = args[0];
  const t = args[1].split(' ')[0];
  const a = args[1].split(' ')[1];
  const h = args[2].split(' ');

  let diff = Number.MAX_VALUE;
  let ret;
  for(let i=0; i<n; ++i) {
    let v = t - h[i]*0.006
    if(diff > a - v) {
      diff = a-v;
      ret = i+1;
    }
  }
  console.log(ret);
}

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