LogiQuest

200. Asteroid Collision

MediumStackSimulation

Positive values move right, negative move left; the absolute value is the size. When two meet, the smaller explodes (both if equal). Print the remaining asteroids, or EMPTY.

Input format

Line 1: n Line 2: n non-zero integers

Output format

The survivors, or EMPTY.

Example 1

Input

3
5 10 -5

Output

5 10

Example 2

Input

2
8 -8

Output

EMPTY

Constraints

1 ≤ n ≤ 10⁴

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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