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: Accepted)

function Main(input) {
	// 1行目がinput[0], 2行目がinput[1], …に入る
    tmp = input.split("\n");
    N = tmp[0];
    tmp2 = String(tmp[1]).split(" ");
    T = tmp2[0];
    A = tmp2[1];
    H = String(tmp[2]).split(" ");
    //console.log(H);
    check = 9999;
    for(i = 0; i < N; i++){
        aveTemp = T - 0.006*H[i]
        //console.log(Math.abs(aveTemp - A));
        if(Math.abs(aveTemp - A) < check){
            check = Math.abs(aveTemp - A)
            answer = i + 1;
        }

    }
    console.log(answer);
    
}
//*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"));