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 Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

program prob2
    implicit none
    integer(8)::n, i, j, t, a, ans, tmp
    integer(8), allocatable::h(:)
    read(*,*) n, t, a
    a = a * 1000
    t = t * 1000
    tmp = 1e9
    allocate(h(n))
    read(*,*) h
    do i = 1, n
        if(abs(t - h(i) * 6 - a) < tmp) then
            ans = i
            tmp = abs(t - h(i) * 6 - a)
        end if
    end do
    print*, ans
    stop
end program