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)

//------------------------------------------
// C++ templete 
//------------------------------------------
#include <bits/stdc++.h>
using namespace std;

#define endl "\n"

//typedef
//------------------------------------------
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef vector<PII> VP;

//REPEAT
//------------------------------------------
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)

//container util
//------------------------------------------
#define pb push_back
#define paired make_pair
#define ALL(a) (a).begin(),(a).end()
#define PRINT(V) for (auto v : (V)) cout << v << " "
#define SORT(V) sort((V).begin(),(V).end())
#define RSORT(V) sort((V).rbegin(), (V).rend())

//constant
//------------------------------------------
const int MOD = 1000000007;
const int INF = 1061109567;
const double EPS = 1e-10;
const double PI  = acos(-1.0);
int dx[4]={1,0,-1,0};
int dy[4]={0,1,0,-1};

//math
//------------------------------------------
int QP(int a,int b){int ans=1;do{if(b&1)ans=1ll*ans*a%MOD;a=1ll*a*a%MOD;}while(b>>=1);return ans;}
int QP(int a,int b,int MOD){int ans=1;do{if(b&1)ans=1ll*ans*a%MOD;a=1ll*a*a%MOD;}while(b>>=1);return ans;}
int GCD(int a,int b){return b?GCD(b,a%b):a;}

//debug
//------------------------------------------
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;

//grobal variable
//------------------------------------------
int N,M;
VI Vec;

int main() 
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
  
    int N;cin>>N;
    int T, A; cin >> T >> A;
    vector<pair<float, int> > V(N);
    REP(i, N)
    {
        int h; cin >> h;
        float t = T - (h*0.006);
        V.at(i) = make_pair(abs(t-A), i+1);
    }
    sort(ALL(V));
    cout << V.front().second << endl;
    return 0;
}