Description

Given N real numbers a₁, a₂, …, a_N, you are to write a program to calculate P as defined below.

Input

The input consists of several test cases. Each test case consists of two lines:

Line 1: A single positive integer N ≤ 100,000.

Line 2: N real numbers a₁, a₂, …, a_N (|a_i| ≤ 30 for all i s.t. 1 ≤ i ≤ N) which are either integral or accurate to one digit after decimal point.

Process to the end of input.

Output

For each test case, output P in scientific notation in a single line. If P is equal to zero, output “0.000”. If 1 ≤ |P| < 10, output P directly with its fractional part rounded to three decimal places. In any other cases, output P in the format xEn where P = x × 10ⁿ (1 ≤ |x| < 10 and n is an integer). x should also be rounded to three digits after decimal point.

5
-5.0 2.0 3.0 -2.0 0.5
3
-1 0 -1

6.000E1
0.000

Hint

Built-in floating-point types provided by the compilers may not hold P.

Source

POJ Monthly--2006.05.28, Static