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>
#include <stdlib.h>
int num(){
    char s[11];
    int i, n;
    for(i=0; i<sizeof(s); i++){
        s[i] = getchar();
        if(s[i] == ' ' || s[i] == '\n'){
            s[i] = '\0';
            break;
        }
    }
    sscanf(s, "%d", &n);
    return n;
}
int main(void){
    int n, t, a, c=0;
    float x, y, z=100000;
    int i, h[1000];
    n = num();
    t = num();
    a = num();
    for(i=0; i<n; i++){
        h[i] = num();
    }
    
        for(i=0; i<n; i++){
            x = t-h[i]*0.006;
            y = a-x;
            if(y < 0)
                y = y*-1;
            if(y <= z){
                z = y;
                c = i;
            }
        }
    c++;
    printf("%d\n", c);
    
    return 0;
    
}