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;

typedef long double ld;
typedef unsigned long ul;
typedef long long ll;
typedef unsigned long long ull;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<long> vl;
typedef vector<double> vd;
typedef map<int,int> mii;
typedef pair<int,int> pii;
typedef pair<long,long> pll;

#define rep(i,n) for(int i=0;i<n;i++)
#define REP(i,a,n) for(int i=a;i<n;i++)
#define ALL(a) (a).begin(),(a).end()
#define pb(x) push_back(x)
#define mp(x,y) make_pair((x),(y))

#define pi 3.14159265358979
#define eps 1e-9
#define inf 1<<30

int main()
{
	int N, T, A;
	int H;
	int id, diff, tmp;

	cin >> N >> T >> A;
	cin >> H;
	A *= 1000;
	id = 0;
	diff = abs( A - (T - H)*6 );
	for(int i=1; i<N; i++ ){
		cin >> H;
		tmp = abs( A - (T - H)*6 );
		if( tmp < diff )
			id = i;
	}
	cout << id+1 << endl;

	return 0;
}