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)

const Main = (input) => {
  // 入力値の整形
  input = input.split('\n');
  const line2 = input[1].split(' ');
  const baseHot = parseInt(line2[0]);
  const targetHot = parseInt(line2[1]);
  const hotPoints = input[2]
    .split(' ')
    .map((hight, index) => {
      return {
        inputIndex: index,
        hot: baseHot - parseInt(hight) * 0.006,
      };
    })
    .sort((a, b) => {
      const rangeA = a.hot - targetHot;
      const rangeB = b.hot - targetHot;
      return rangeA < rangeB;
    });

  console.log(hotPoints[0].inputIndex + 1);
};

//* この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require('fs').readFileSync('/dev/stdin', 'utf8'));
/*
Main(`3
21 -11
81234 94124 52141`);

Main(`2
12 5
1000 2000`);
*/