Remove the first match

Problem

A list holds product codes. Remove the first node whose value equals the target, if any, and print the list. Print EMPTY if no nodes remain.

Input: Line 1: integers separated by spaces. Line 2: the target.
Output: The remaining values, or EMPTY.
Constraints: 1 ≤ number of values ≤ 10000
1 ≤ each value ≤ 1000000000
1 ≤ target ≤ 1000000000

Example 1

Input

1 5 2 5
5

Output

1 2 5

Example 2

Input

4
4

Output

EMPTY

Try the problem first. Open one hint at a time.

Hint 1

Stop on the node before the target, then skip over it.

Hint 2

A dummy node makes removing the head work like any other node.

Write your Python code, run it on the examples and submit it to hidden tests.