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 Go (1.6) (judge verdict: Wrong Answer)

package main

import (
        "fmt"
)

func solution(n, t, a int, h []int) int {
        lo := 1 << 31
        out := 0
        for i := range h {
                diff := abs(1000*a - 1000*t - (h[i] * 6))
                if lo > diff {
                        out = i + 1
                        lo = diff
                }

        }
        return out
}

func abs(x int) int {
        if x < 0 {
                return -x
        }
        return x
}

func main() {
        var n, t, a int
        fmt.Scan(&n, &t, &a)
        h := make([]int, n)
        for i := range h {
                fmt.Scan(&h[i])
        }
        fmt.Println(solution(n, t, a, h))
}