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>
#include<math.h>
int main(void)
{
    int N,T,A,H[1001];
    int i,i_ans;
    float d,T_i;

    scanf("%d %d %d",&N,&T,&A);
    i=1;
    while(i<=N)
    {
       scanf("%d",&(H[i]));
       i++;
    }

    i=1;
    d=100000000000;
    while(i<=N)
    {
       T_i=T-H[i]*0.006;
       if(fabsf(A-T_i)<d){
           d=fabs(A-T_i);
           i_ans=i;
       }
       i++;
    }

    printf("%d\n",i_ans);
    return 0;
}