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;

typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())

int gcd(int a, int b){
    if (b == 0) {
        return a;
    }
    return gcd(b, a%b);
}

ll lcm(ll a, ll b){
    return a * b / gcd(a,b);
}

void solve(){
    int N;
    cin >> N;

    int T, A;
    cin >> T >> A;
    T *= 1000;
    A *= 1000;

    vi H(N);
    for (int i = 0; i < N; i++) {
        cin >> H[i];
    }

    int ans=0;
    int mindiff = 1000000000;
    for (int i = 0; i < N; i++) {
        if (mindiff > abs(A - T + H[i]*6)) {
            mindiff = abs(A - T + H[i]*6);
            ans = i;
        }
    }

    cout << ans+1 << endl;

    return;
}

int main(int argc, char const* argv[])
{
    solve();
    return 0;
}