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: Wrong Answer)

#include <stdio.h>

int max(int a,int b){
  	if(a>b){
      return a;
    }else{
      return b;
    }
}

int main(void){
  int N,A,T,H,a,b;
  int count = 1;
  scanf("%d", &N);
  scanf("%d %d", &T, &A);
  
  a = 1000*T - 6*H - 1000*A;
  b = 1000*A - 1000*T + 6*H;
  
  scanf("%d ", &H);
  int  min = max(a,b);
  
  for(int i = 1; i<=N-1; i++){
    scanf("%d", &H);
    if(max(a,b)<=min){
      min = max(a,b);
      count = i+1;
    }else{
    }
  }
  printf("%d", count);
}