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>

#define MAX 1000

int main(void)
{
    int N, T, A, i, index;
    double near_a, near;
    int H[MAX+1];

    scanf("%d", &N);
    scanf("%d %d", &T, &A);

    for(i=0; i<N; ++i)
    {
      scanf("%d", &H[i]);
    }

    near_a = T - H[0] * 0.006;
    index = 0;

    for(i=1; i<N; ++i)
    {
      near = T - H[i] * 0.006;

      if(A-near_a > A-near)
      {
        near_a = near;
        index = i;
      }
    }

    printf("%d\n", index+1);

    return 0;
}