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 int
  var T, A float64

  // N, T, Aを入力する
  fmt.Scan(&N, &T, &A)

  // Hを入力する
  H := make([]float64, N)
  for i, _ := range H {
    fmt.Scan(&H[i])
  }

  // TODO: Nの数だけ計算する > 結果を格納
  min := float64(10000)
  ans := 0
  for i, h := range H {
    diff := math.Abs(A - (T - h * 0.006))
    if diff < min {
      min = diff
      ans = i
    }
  }
  fmt.Println(ans + 1)
}