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;

#ifdef LOCAL
	#define de(x) cout<<#x<<"="<<x<<endl
	#define rff freopen("input.txt","r",stdin)
	#include "Debug.h"
#else
	#define de(x)
	#define rff
#endif

#define itr(x) for(__typeof((x).begin()) it=(x).begin();it!=(x).end();it++)
#define For(i,n) for (int i=1;i<=(int)(n);i++)
#define rep(i,n) for (int i=0;i<(int)(n);i++)
#define all(x) (x).begin(),(x).end()
#define PQ priority_queue
#define pii pair<int,int>
#define vi vector <int>
#define ll long long
#define pb push_back
#define mp make_pair
#define re return
#define se second
#define fi first
const int INF=0x7fffffff;
const int MAXN=+3;

int n,t,a,INDEX,h;
double mn=1000000;

int main(){
	cin>>n>>t>>a;
	For(i,n){
		cin>>h;
		if (fabs(t-0.006*h-a)<mn){
			mn=fabs(t-0.006*h-a);
			INDEX=i;
		}
	}
	cout<<INDEX;
	re 0;
}