Problem:
Score : 200 points

Problem Statement

Given is a sequence of N integers A_1, \ldots, A_N.

Find the (multiplicative) inverse of the sum of the inverses of these numbers, \frac{1}{\frac{1}{A_1} + \ldots + \frac{1}{A_N}}.

Constraints

1 \leq N \leq 100

1 \leq A_i \leq 1000

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 \ldots A_N

Output

Print a decimal number (or an integer) representing the value of \frac{1}{\frac{1}{A_1} + \ldots + \frac{1}{A_N}}.

Your output will be judged correct when its absolute or relative error from the judge's output is at most 10^{-5}.

Sample Input 1

2
10 30

Sample Output 1

7.5

\frac{1}{\frac{1}{10} + \frac{1}{30}} = \frac{1}{\frac{4}{30}} = \frac{30}{4} = 7.5.

Printing 7.50001, 7.49999, and so on will also be accepted.

Sample Input 2

3
200 200 200

Sample Output 2

66.66666666666667

\frac{1}{\frac{1}{200} + \frac{1}{200} + \frac{1}{200}} = \frac{1}{\frac{3}{200}} = \frac{200}{3} = 66.6666....

Printing 6.66666e+1 and so on will also be accepted.

Sample Input 3

1
1000

Sample Output 3

1000

\frac{1}{\frac{1}{1000}} = 1000.

Printing +1000.0 and so on will also be accepted.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)


#include<bits/stdc++.h>
using namespace std;
typedef double db;
typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
#define dd(x) cout << #x << " = " << x << ", "
#define de(x) cout << #x << " = " << x << endl
#define rep(i,a,b) for(int i=(a);i<(b);++i)
#define per(i,a,b) for(int i=(b)-1;i>=(a);--i)
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define fi first
#define se second
//INF = 1 061 109 567 ; INF + INF = 2 122 219 134 ;
//LINF = 4 557 430 888 798 830 399 ; LINF + LINF = 9 114 861 777 597 660 798 ;
const int INF = 0x3f3f3f3f;     // -INF: 0xc0   abs(-INF) = INF + 1
const ll LINF = 0x3f3f3f3f3f3f3f3f;
/*}}}*/                         // zr, zm
const int MOD = (int)1e9+7;     // when MOD = 1e9+7, inv2 = 500000004
const int N = (int)1e6+7;
const int M = (int)-1;

int main()

{
	int n;scanf("%d",&n);
	double ans = 0;
	rep(i,0,n) {
		int t;;
		scanf("%d",&t);
		ans += 1.0/t;
	}
	printf("%.7f\n",1.0/ans);
	return 0;
}