Average Excluding Zeros

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Ignore all zero entries. Average the remaining values; output EMPTY if none. Otherwise print exactly two decimals, rounding halfway away from zero, including negative ties. Print 0.00 for zero.

Input

First n (1<=n<=100000), followed by exactly n integers in [-10^6,10^6].

Output

Print EMPTY or a decimal with exactly two digits after the point.

Subtasks

• Subtask 1 (20%): $1\le n\le 10$; $-10^6\le a_i\le10^6$.

• Subtask 2 (30%): $1\le n\le 1000$; $-10^6\le a_i\le10^6$.

• Subtask 3 (50%): $1\le n\le 100000$; $-10^6\le a_i\le10^6$.

Examples

Example 1

Input:

5
0 -1 2 0 4

Output:

1.67

Explanation:

Exclude zeros from sum and count, rounding ties away from zero. Result: 1.67.

Example 2

Input:

3
0 0 0

Output:

EMPTY

Explanation:

Exclude zeros from sum and count, rounding ties away from zero. Result: EMPTY.

Example 3

Input:

8
1 1 1 1 1 1 1 -2

Output:

0.63

Explanation:

Exclude zeros from sum and count, rounding ties away from zero. Result: 0.63.