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: Accepted)

package main

import (
	"fmt"
)

func getTemp(T, H float64) (temp float64) {
	temp = T - 0.006*H
	return
}

func abs(x float64) float64 {
	if x < 0 {
		return -x
	}
	return x
}

func main() {
	var N int
	var T, A float64
	fmt.Scan(&N, &T, &A)
	nums := make([]float64, N)
	p := 0
	for i := 0; i < N; i++ {
		fmt.Scan(&nums[i])
	}
	for i := 0; i < N; i++ {
		if abs(getTemp(T, nums[i])-A) < abs(getTemp(T, nums[p])-A) {
			p = i
		}
	}
	fmt.Println(p + 1)
}