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-----
2
12 5
1000 2000

-----Sample Output-----
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.

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