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"
        "math"
)


func main () {
        var n, t, a, h, an, ta  int
        var ko float64
        lo :=1 
        fmt.Scan(&n, &t, &a)
        
        for i := 0 ; i < n ; i++{
                fmt.Scan(&h)
                x := t - h / 1000 * 6
                x = a - x
                ko = math.Abs(float64(x))
                x = int(ko)
                if an == 0 {
                        an = x
                        ta = lo
                        lo +=1
                }  else if x < an {
                        an = x
                        ta = lo 
                        lo +=1
                } else {
                        lo +=1
                }
        }
        fmt.Println(ta)
}