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: Runtime Error)

import numpy as np
def main():
    ttt = []
    n = int(input())
    e = [list(map(int, input().split())) for i in range(n)]
    #e = [[int(i) for i in input().split()] for i in range(int(input()))]
    #n = 3
    #e = [[21,-11],[81234,94124,52141]]
    for j in range(n):
        t = e[0][0] - e[1][j]*0.006
        tt = abs(e[0][1] - t)
        ttt.append(tt)
    ttt = np.array(ttt)
    print(np.argmin(ttt)+1)
main()