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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;


int main() {
    long int n,t,a,MIN,min_index=0;
    cin >> n;
    cin >> t >> a;
    vector<float> vec(n);
    MIN = numeric_limits<long int>::max();
    for(unsigned long i = 0 ; i < n  ; i++){
        cin >> vec[i];
        vec[i] = (float)t -  (vec[i] * 0.006);
        if(a < 0 && vec[i] < 0) {
            vec[i] = abs(abs(vec[i]) - abs(a));
        }else if(a < 0 && vec[i] > 0){
            vec[i] = abs(a) + vec[i];
        }else if(a > 0 && vec[i] < 0){
            vec[i] = abs(vec[i]) + a;
        }else{
            vec[i] = abs(a - vec[i]);
        }
        vec[i] = vec[i] - a;
        if(vec[i] < MIN){
            MIN = vec[i];
            min_index = i;
        }
    }

    cout << min_index+1 << endl;
    return 0;
}