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: Runtime Error)

#include <stdio.h>
int main(){
  
    int N,i;
    double H[1000],Ta[1000],Tb[1000];
    double T,A,x,max=1000;
  
    scanf("%d", N);
    scanf("%lf", T);
    scanf("%lf", A);
  
    for(i = 0; i < N; ++i){
      scanf("%lf", H[i]);
    }
  
    for(i = 0; i < N; ++i){
      Ta[i] = T - H[i] * 0.006;
    }
  
    for(i = 0; i < N; ++i){
      x = A - Ta[i];
      if(x < 0){
        Tb[i] = Ta[i] - A;
      }
      else {
        Tb[i] = A - Ta[i];
      }
    }
  
    for(i = 0; i < N; ++i){
      if(Tb[i] < max){
        max = Tb[i];
      }
    }
  
    printf("%f\n", max);
  
    return 0;
}