Priority Queue

Priority queue is a container of elements which the element with the highest priority should be extracted first.

For $n$ priority queues $Q_i$ ($i = 0, 1, ..., n-1$) of integers, perform a sequence of the following operations.

• insert($t$, $x$): Insert $x$ to $Q_t$.
• getMax($t$): Report the maximum value in $Q_t$. If $Q_t$ is empty, do nothing.
• deleteMax($t$): Delete the maximum element from $Q_t$. If $Q_t$ is empty, do nothing.

In the initial state, all queues are empty.

Constraints

• $1 \leq n \leq 1,000$
• $1 \leq q \leq 200,000$
• $-1,000,000,000 \leq x \leq 1,000,000,000$

Input

The input is given in the following format.

$n \; q$ $query_1$ $query_2$ : $query_q$

Each query $query_i$ is given by

0 $t$ $x$

or

1 $t$

or

2 $t$

where the first digits 0, 1 and 2 represent insert, getMax and deleteMax operations respectively.

Output

For each getMax operation, print an integer in a line.

Example

Input

2 10 0 0 3 0 0 9 0 0 1 1 0 2 0 1 0 0 0 4 1 0 0 1 8 1 1

Output

9 3 4 8

inputFormat

Input

The input is given in the following format.

$n \; q$ $query_1$ $query_2$ : $query_q$

Each query $query_i$ is given by

0 $t$ $x$

or

1 $t$

or

2 $t$

where the first digits 0, 1 and 2 represent insert, getMax and deleteMax operations respectively.

outputFormat

Output

For each getMax operation, print an integer in a line.

Example

Input

2 10 0 0 3 0 0 9 0 0 1 1 0 2 0 1 0 0 0 4 1 0 0 1 8 1 1

Output

9 3 4 8

样例

2 10
0 0 3
0 0 9
0 0 1
1 0
2 0
1 0
0 0 4
1 0
0 1 8
1 1

9
3
4
8

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