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 main() {
	var n, t, a int
	fmt.Scan(&n, &t, &a)

	var hs []int
	for i := 0; i < n; i++ {
		var v int
		fmt.Scan(&v)
		hs = append(hs, v)
	}

	min_i := 0
	min := diff(a, t, hs[min_i])
	for i, h := range hs {
		diff := diff(a, t, h)
		if min > diff {
			min = diff
			min_i = i
		}
	}

	fmt.Println(min_i + 1)
}

func diff(a, t, h int) int {
	return abs(t*1000 + h*6 - a*1000)
}

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