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 Python (3.4.3) (judge verdict: Wrong Answer)

# Problem https://atcoder.jp/contests/abc113/tasks/abc113_b
# Python 3rd Try


class Problem:
    def __init__(self, allnumber, maxthermo, avepoint, highs):
        self.allnumber = allnumber
        self.maxthermo = maxthermo
        self.avepoint = avepoint
        self.highs = highs

    def problemprint(self):
        print(self.allnumber)
        print(self.maxthermo)
        print(self.avepoint)
        print(self.highs)

    def solve(self):
        maxdiff = 100000.0
        result = 1
        for j in range(0, self.allnumber):
            difftemp = abs(self.avepoint-(self.maxthermo-self.highs[0]*0.006))
            if difftemp < maxdiff:
                maxdiff = maxdiff
                result = j+1
        return result


if __name__ == "__main__":
    N = int(input())
    T, A = map(float, input().split(' '))
    HI = list(map(float, input().split(' ')))
    print(Problem(N, T, A, HI).solve())