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# Shave Beaver! The Smart Beaver has recently designed and built an innovative nanotechnologic all-purpose beaver mass shaving machine, "Beavershave 5000". Beavershave 5000 can shave beavers by families! How does it work? Very easily! There are $n$ beavers, each of them has a unique id from 1 to $n$. Consider a permutation $a_{1}, a_{2}, ..., a_{n}$ of $n$ these beavers. Beavershave 5000 needs one session to shave beavers with ids from $x$ to $y$ (inclusive) if and only if there are such indices $i_{1} < i_{2} < ... < i_{k}$, that $a_{i_{1}} = x$, $a_{i_{2}} = x + 1$, ..., $a_{i_{k - 1}} = y - 1$, $a_{i_{k}} = y$. And that is really convenient. For example, it needs one session to shave a permutation of beavers $1, 2, 3, ..., n$. If we can't shave beavers from $x$ to $y$ in one session, then we can split these beavers into groups $[x, p_{1}]$, $[p_{1} + 1, p_{2}]$, ..., $[p_{m} + 1, y]$ $(x ≤ p_{1} < p_{2} < ... < p_{m} < y)$, in such a way that the machine can shave beavers in each group in one session. But then Beavershave 5000 needs $m + 1$ working sessions to shave beavers from $x$ to $y$. All beavers are restless and they keep trying to swap. So if we consider the problem more formally, we can consider queries of two types: * what is the minimum number of sessions that Beavershave 5000 needs to shave beavers with ids from $x$ to $y$, inclusive? * two beavers on positions $x$ and $y$ (the beavers $a_{x}$ and $a_{y}$) swapped. You can assume that any beaver can be shaved any number of times. ## Оролт The first line contains integer $n$ -- the total number of beavers, $2 ≤ n$. The second line contains $n$ space-separated integers -- the initial beaver permutation. The third line contains integer $q$ -- the number of queries, $1 ≤ q ≤ 10^{5}$. The next $q$ lines contain the queries. Each query $i$ looks as $p_{i}$ $x_{i}$ $y_{i}$, where $p_{i}$ is the query type ($1$ is to shave beavers from $x_{i}$ to $y_{i}$, inclusive, $2$ is to swap beavers on positions $x_{i}$ and $y_{i}$). All queries meet the condition: $1 ≤ x_{i} < y_{i} ≤ n$. * to get 30 points, you need to solve the problem with constraints: $n ≤ 100$ (subproblem B1); * to get 100 points, you need to solve the problem with constraints: $n ≤ 3*10^{5}$ (subproblems B1+B2). Note that the number of queries $q$ is limited $1 ≤ q ≤ 10^{5}$ in both subproblem B1 and subproblem B2. ## Гаралт For each query with $p_{i} = 1$, print the minimum number of Beavershave 5000 sessions. -- [орчуулагдаж байгаа]
Жишээ тэстүүд
Оролт
5 1 3 4 2 5 6 1 1 5 1 3 4 2 2 3 1 1 5 2 1 5 1 1 5
Гаралт
2 1 3 5