Field Channel Relay Board

A logistics crew runs a field radio relay board during long expeditions. Analysts carry handheld terminals that can be tuned into a named channel. Whenever dispatch broadcasts a batch of numeric sensor readings on a channel, every terminal currently tuned into that exact channel reports back the sum of the readings it just received, and the reports are listed in the order those terminals originally tuned in (oldest first). A terminal can later be pulled off the board; once pulled, it never reports on any future broadcast, on any channel.

You will process a sequence of operations of three kinds: tuning a new terminal into a channel, broadcasting a batch of readings on a channel, and pulling a specific terminal off the board.

Input format

The first line contains a single integer q, the number of operations. Each of the next q lines describes one operation, in one of the following three forms:

• TUNE channel — tune a brand-new terminal into the given channel.
• BROADCAST channel k v_1 v_2 ... v_k — broadcast k readings on the given channel.
• DROP id — permanently pull the terminal with registration number id off the board.

Registration numbers are assigned in increasing order starting at 1, one per TUNE operation, in the order those operations appear in the input (numbering is shared across all channels, not restarted per channel). It is guaranteed that every DROP id refers to a terminal that was tuned in earlier in the input and has not already been dropped.

Output format

For every BROADCAST operation, output one line: the sums reported by each terminal currently tuned into that exact channel, oldest tuned-in terminal first, separated by single spaces. If no terminal is currently tuned into that channel, output the single word NONE instead. Produce no output at all for TUNE or DROP operations. The total number of output lines therefore equals the number of BROADCAST operations.

Constraints

• 1 <= q <= 2*10^4
• channel consists of 1 to 20 lowercase English letters and digits
• 0 <= k <= 10 readings per broadcast
• -10^4 <= v_i <= 10^4
• 1 <= id <= q, and id always refers to a terminal tuned in earlier in the input that has not yet been dropped

6
TUNE alpha
TUNE beta
BROADCAST alpha 2 3 4
DROP 1
BROADCAST alpha 1 5
BROADCAST beta 2 10 20

7
NONE
30

5
TUNE ops
TUNE ops
BROADCAST ops 0
TUNE ops
BROADCAST ops 2 1 1

0 0
2 2 2