Farmer John operates a collection of $N$ farms ($1\le N\le 10^5$), conveniently
numbered $1\ldots N$. Initially, there are no roads connecting these farms to
each-other, and each farm is actively producing milk.

Due to the dynamic nature of the economy, Farmer John needs to make changes to
his farms according to a series of $Q$ update operations
($0\le Q\le 2\cdot 10^5$). Update operations come in three possible forms:

(D x) Deactivate an active farm $x$, so it no longer produces milk.(A x y) Add a road between two active farms $x$ and $y$.(R e) Remove the $e$th road that was previously added ($e = 1$ is the first
road that was added).
A farm $x$ that is actively producing milk, or that can reach another active
farm via a series of roads, is called a "relevant" farm. For each farm $x$,
please calculate the maximum $i$ ($0\le i\le Q$) such that $x$ is relevant
after the $i$-th update.

INPUT FORMAT (input arrives from the terminal / stdin):
The first line of input contains $N$ and $Q$. The next $Q$ lines each contain an update of one of the following forms:

D x
A x y
R e

It is guaranteed that for updates of type R, $e$ is at most the number of roads
that have been added so far, and no two updates of type R have the same value of
$e$.

OUTPUT FORMAT (print output to the terminal / stdout):
Please output $N$ lines, each containing an integer in the range $0\ldots Q$.

SAMPLE INPUT:
5 9
A 1 2
A 2 3
D 1
D 3
A 2 4
D 2
R 2
R 1
R 3
SAMPLE OUTPUT:
7
8
6
9
9

In this example, roads are removed in the order $(2,3), (1,2), (2,4)$.

Farm $1$ is relevant just before $(1,2)$ is removed. Farm $2$ is relevant just before $(2,4)$ is removed. Farm $3$ is relevant just before $(2,3)$ is removed. Farms $4$ and $5$ are still active after all queries. Therefore they both
stay relevant, and the output for both should be $Q$.
SCORING:
Tests 2 through 5 satisfy $N\le 10^3$, $Q\le 2\cdot 10^3$Test cases 6 through 20 satisfy no additional constraints.

Problem credits: Benjamin Qi

见题面

见题面