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 12.16.1) (judge verdict: Accepted)

function main(input) {
  let inputs = input.split(/\n/);
  let args = inputs[2].split(/\s/);
  let minDifference;
  let result;
  let tempretures = [];
  for (let i = 0;i < inputs[0];i++) {
    tempretures[i] = inputs[1].split(' ')[0] - args[i] * 0.006;
    if (minDifference === undefined) {
      minDifference = Math.abs(inputs[1].split(' ')[1] - tempretures[i]);
    }
    if (Math.abs(inputs[1].split(' ')[1] - tempretures[i]) <= minDifference) {
      minDifference = Math.abs(inputs[1].split(' ')[1] - tempretures[i]);
      result = i;
    }
  }
  console.log(result + 1);
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));