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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>

double ABS(double a){
	return a >= 0 ? a : -a;
}

int main(){
	int N, i, ans;
	double T, A, H, min = 1e18;
	scanf("%d", &N);
	scanf("%lf%lf", &T, &A);
	for(i = 0; i < N; i++){
		scanf("%lf", &H);
		if(min > ABS(T - H * 0.006 - A)){
			min = ABS(T - H * 0.006 - A);
			ans = i;
		}
	}
	printf("%d\n", ans + 1);
	return 0;
}