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)

def ave_temp(temp, height):
	return temp - (height * 0.006)

N = int(input())
T, A = map(int, input().split(' '))
H = list(map(int, input().split(' ')))

ans = []
A_raw = []
built = []
for i in range(0, N):
	ans.append(ave_temp(T, H[i]))
	A_raw.append(A)
	built.append(abs(ans[i] - A_raw[i]))

for k in range(0, N - 1):
	if built[k] > built[k + 1]:
		built_num = k + 1
	else:
		built_num = k

print(str(built_num + 1))