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"
	"math"
)

func main() {
	var (
		n, t, a int
	)
	fmt.Scanf("%d\n%d %d\n", &n, &t, &a)
	a *= 1000
	t *= 1000
	h := make([]int, n)
	for i := 0; i < n; i++ {
		fmt.Scan(&h[i])
	}


	point := 0
	nearestDiff := math.MaxInt64
	for idx, x := range h {
		diff := a - (t - x * 6)
		if diff < 0 {
			diff = -diff
		}
		if diff < nearestDiff {
			point = idx + 1
			nearestDiff = diff
		}
	}
	fmt.Println(point)
}