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 (Clang 3.8.0) (judge verdict: Accepted)

#include<stdio.h>
int main(){
  int n,t,a,h[100000],k,cc = 10000000000000,ans;
  scanf("%d",&n);
  scanf("%d %d",&t,&a);
  for(int i = 0;i < n;i++){
    scanf("%d",&h[i]);
    k = t * 1000 - h[i] * 6 - a * 1000;
    if(k < 0){
      k = -k;
    }
    if(k < cc){
      cc = k;
      ans = i;
    }
  }
  printf("%d",ans + 1);
  return 0;
}