Contest: Task: Related: TaskA TaskC

Score: $200$ points

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.

- $1 \leq N \leq 1000$
- $0 \leq T \leq 50$
- $-60 \leq A \leq T$
- $0 \leq H_i \leq 10^5$
- All values in input are integers.
- The solution is unique.

Input is given from Standard Input in the following format:

$N$ $T$ $A$ $H_1$ $H_2$ $...$ $H_N$

Print the index of the place where the palace should be built.

2 12 5 1000 2000

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 $1$.

3 21 -11 81234 94124 52141

3