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: Wrong Answer)

N = int(input())
T, A = map(int, input().split())
H_list = list(map(int, input().split()))

pre = 100000000000
'''
3
21 -11
81234 52141 94124
'''
for i, h in enumerate(H_list):
    if i == 0:
        ans = i
        pre = T - h * 0.006
        continue
    kion = T - h * 0.006
    if abs(A - kion) < abs(A - pre):
        #print(kion)
        #print(pre)
        #print(abs(A - kion),'kion')
        #print(abs(A - pre),'pre')
        ans = i
print(ans + 1)