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: Accepted)

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

int main() {
  int N, T, A;
  cin >> N >> T >> A;
  
  vector<int> H(N);
  for (int i = 0; i < N; i++) {
    cin >> H.at(i);
  }
  
  int best = 1;
  int diff;
  int min_diff = 1000000;
  for (int i = 0; i < N; i++) {
    diff = abs(T*1000 - H.at(i)*6 - A*1000);
    if (diff < min_diff) {
      min_diff = diff;
      best = i+1;
    }
  }
  
  cout << best << endl;
  
}