Confluence

AtCoder

IDabc183_f

Time3000ms

Memory256MB

Difficulty—

$N$ students are about to go to school. Student $i$ belongs to Class $C_i$. After leaving home, each student will head to school while repeatedly joining up with a group of other students. Once students join up with each other, they will not separate. You will be given $Q$ queries that should be processed in order. There are two kinds of queries, in the following formats, that mean the following: * `1 a b`: The group containing Student $a$ and the group containing Student $b$ merges. (If they are already in the same group, nothing happens.) * `2 x y`: You are asked to find the number of students belonging to Class $y$ who are already in the same group as Student $x$ (including Student $x$) at the time of this query. ## Constraints * $1 \leq N \leq 2 \times 10^5$ * $1 \leq Q \leq 2 \times 10^5$ * $1 \leq C_i,a,b,x,y \leq N$ * In a query in the format `1 a b`, $a \neq b$. * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $Q$ $C_1$ $\ldots$ $C_N$ $Query_1$ $\vdots$ $Query_Q$ [samples]

Samples

Input #1

Output #1

2
0

At the time of the $3$\-rd query, Student $1$ has joined up with Student $2$ and $5$. Among these three students, two belong to Class $1$.
At the time of the $5$\-th query, Student $3$ has joined up with Student $4$. Among these two students, none belongs to Class $4$.

Input #2

Output #2

3

There may be queries in the format `1 a b` for students who already belong to the same group.

Input #3

12 9
1 2 3 1 2 3 1 2 3 1 2 3
1 1 2
1 3 4
1 5 6
1 7 8
2 2 1
1 9 10
2 5 6
1 4 8
2 6 1

Output #3

1
0
0

API Response (JSON)

{
  "problem": {
    "name": "Confluence",
    "description": {
      "content": "$N$ students are about to go to school. Student $i$ belongs to Class $C_i$. After leaving home, each student will head to school while repeatedly joining up with a group of other students. Once studen",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 3000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc183_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "$N$ students are about to go to school. Student $i$ belongs to Class $C_i$.\nAfter leaving home, each student will head to school while repeatedly joining up with a group of other students. Once studen...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments