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;
#define F(i,a,b) for(int i=a;i<=(b);++i)
#define F2(i,a,b) for(int i=a;i<(b);++i)
#define dF(i,a,b) for(int i=a;i>=(b);--i)
#define dF2(i,a,b) for(int i=a;i>(b);--i)
#define eF(i,u) for(int i=h[u];i;i=nxt[i])
#define SZ(x) ((int)(x).size())
#define prts(x) return puts(x),0
#define pirtf(x) return printf("%d\n",x),0
#define re return
typedef long long LL;
typedef double ld;
typedef pair<int,int> pii;
inline int Gcd(int X,int Y){return Y?Gcd(Y,X%Y):X;}
inline LL Gcd(LL X,LL Y){return Y?Gcd(Y,X%Y):X;}
inline int Pow(int B,LL E,int M){if(!(B%=M))return 0;int A=1;for(;E;E>>=1,B=(LL)B*B%M)E&1?A=(LL)A*B%M:0;return A;}
inline LL Pow(LL B,LL E,LL M){if(!(B%=M))return 0;LL A=1;for(;E;E>>=1,B=B*B%M)E&1?A=A*B%M:0;return A;}
const int INF=0x3f3f3f3f;

map<int,int> mp;
set<int> st;

int n,q,m,k;
int a[300005],b[300005];
int f[300005],g[300005];
int M[3005][3005];
char str[300005];

int h[300005],nxt[600005],to[600005],tot;
inline void ins(int x,int y){nxt[++tot]=h[x];to[tot]=y;h[x]=tot;}

int main(){
	int A,T;
	scanf("%d%d%d",&n,&T,&A); A-=T;
	F(i,1,n) scanf("%d",a+i);
	int Ans=1e9; int Ai=0;
	F(i,1,n) if(abs(a[i]*6+A*1000)<Ans) Ai=i, Ans=abs(a[i]*6-A*1000);
	printf("%d\n",Ai);
	return 0;
}