{"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 students join up with each other, they will not separate.\nYou 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:\n\n*   `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.)\n*   `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.\n\n## Constraints\n\n*   $1 \\leq N \\leq 2 \\times 10^5$\n*   $1 \\leq Q \\leq 2 \\times 10^5$\n*   $1 \\leq C_i,a,b,x,y \\leq N$\n*   In a query in the format `1 a b`, $a \\neq b$.\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$ $Q$\n$C_1$ $\\ldots$ $C_N$\n$Query_1$\n$\\vdots$\n$Query_Q$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc183_f","tags":[],"sample_group":[["5 5\n1 2 3 2 1\n1 1 2\n1 2 5\n2 1 1\n1 3 4\n2 3 4","2\n0\n\nAt 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 $1$.\nAt the time of the $5$\\-th query, Student $3$ has joined up with Student $4$. Among these two students, none belongs to Class $4$."],["5 4\n2 2 2 2 2\n1 1 2\n1 1 3\n1 2 3\n2 2 2","3\n\nThere may be queries in the format `1 a b` for students who already belong to the same group."],["12 9\n1 2 3 1 2 3 1 2 3 1 2 3\n1 1 2\n1 3 4\n1 5 6\n1 7 8\n2 2 1\n1 9 10\n2 5 6\n1 4 8\n2 6 1","1\n0\n0"]],"created_at":"2026-03-03 11:01:14"}}