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;

#define lli long long int
#define REP(i,s,l) for(lli i=s;i<l;i++)
#define DEBUG 0
#define INF (1LL<<50)
#define MOD 1000000007

int main(){
    int n; cin >> n;
    double t, a; cin >> t >> a;
    vector<double> h(n);
    for(int i=0; i<n; i++){
        cin >> h[i];
    }
    int diff, ans, min=100000;
    for(int i=0; i<n; i++){
        int w = t-h[i]*0.006;
        diff = abs(a-w);
        if(min>diff){
            min = diff;
            ans = i+1;
        }
    }
    cout << ans << endl;
    return 0;
}