A regional weather service runs three independent Doppler radar stations that each scan the same airspace and log the integer IDs of storm cells they detect during a pass. A single station can occasionally log the same storm cell twice within its own list (a repeat ping), and that should not inflate its confidence — a station either detected a given storm cell during the pass or it did not. Meteorologists trust a storm cell as genuinely present only when it was independently detected by at least two of the three stations. Given the three stations' detection lists, report every storm-cell ID that meets this bar, in increasing order.

Input format

The input is a single stream of whitespace-separated integers:

• Three integers na nb nc — the number of entries logged by station A, station B, and station C respectively.
• na integers — the IDs logged by station A.
• nb integers — the IDs logged by station B.
• nc integers — the IDs logged by station C.

Output format

Print the distinct storm-cell IDs that were detected by at least two of the three stations, in strictly increasing order, separated by single spaces on one line. If no ID qualifies, print an empty line.

Constraints

• 1 <= na, nb, nc <= 100
• 1 <= each logged ID <= 100
• A station's own list may contain the same ID more than once.

4 2 1
1 1 3 2
2 3
3

2 3

3 3 1
1 2 2
4 3 3
5

(empty)