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.

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.

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.

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

见题面 Input 部分

见题面 Output 部分