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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <iostream>
#include<string>
#include<cmath>
#include<ciso646>
#include<cstring>
#include<iomanip>
#include<vector>
#include<algorithm>
#include<utility>
#include<map>
#include<math.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
using ll = long long;
int Max = 10000000;
int main()
{
	int n, t, a; cin >> n >> t >> a;
	vector<int> h(n);
	int ans = 0;
	int Min = Max;
	rep(i, n) {
		cin >> h[i];
		h[i] *= 0.006;
		h[i] = t - h[i];
		int q = abs(h[i] - a);
		Min = min(Min, q);
	}
	rep(i, n) {
		if (Min == abs(h[i] - a))
			ans = i+1;
	}
	cout << ans;
}