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 Python (3.4.3) (judge verdict: Accepted)

import sys

def solve(N, T, A, ls_H):
    li = [abs(A-(T-(i*0.006))) for i in ls_H]
    n = li[0]
    for s in li:
        if n > s:
            n = s
    answer = li.index(n)+1 
    return answer

def readQuestion():
    ws = sys.stdin.readline().strip().split()
    N = int(ws[0])
    ws = sys.stdin.readline().strip().split()
    T = int(ws[0])
    A = int(ws[1])
    ws = sys.stdin.readline().strip().split()
    ls_H = list(map(int, ws))
    return (N, T, A, ls_H)

def main():
    print(solve(*readQuestion()))

main()