Problem:
Score : 600 points

Problem Statement

Snuke got an integer sequence of length N from his mother, as a birthday present. The i-th (1 ≦ i ≦ N) element of the sequence is a_i. The elements are pairwise distinct.
He is sorting this sequence in increasing order.
With supernatural power, he can perform the following two operations on the sequence in any order:

Operation 1: choose 2 consecutive elements, then reverse the order of those elements.

Operation 2: choose 3 consecutive elements, then reverse the order of those elements.

Snuke likes Operation 2, but not Operation 1. Find the minimum number of Operation 1 that he has to perform in order to sort the sequence in increasing order.

Constraints

1 ≦ N ≦ 10^5

0 ≦ A_i ≦ 10^9

If i ≠ j, then A_i ≠ A_j.

All input values are integers.

Input

The input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print the minimum number of times Operation 1 that Snuke has to perform.

Sample Input 1

4
2
4
3
1

Sample Output 1

1

The given sequence can be sorted as follows:

First, reverse the order of the last three elements. The sequence is now: 2,1,3,4.

Then, reverse the order of the first two elements. The sequence is now: 1,2,3,4.

In this sequence of operations, Operation 1 is performed once. It is not possible to sort the sequence with less number of Operation 1, thus the answer is 1.

Sample Input 2

5
10
8
5
3
2

Sample Output 2

0

Solution in Rust (1.15.1) (judge verdict: Accepted)

pub trait Readable {
    type Output;
    fn words_count() -> usize;
    fn read_words(words: &[&str]) -> Result<Self::Output, String>;
}
#[macro_export]
macro_rules! readable {
    ( $ t : ty , $ words_count : expr , |$ words : ident | $ read_words : expr ) => {
        impl Readable for $t {
            type Output = $t;
            fn words_count() -> usize {
                $words_count
            }
            fn read_words($words: &[&str]) -> Result<$t, String> {
                Ok($read_words)
            }
        }
    };
}
readable!((), 1, |_ss| ());
readable!(String, 1, |ss| ss[0].to_string());
impl Readable for char {
    type Output = char;
    fn words_count() -> usize {
        1
    }
    fn read_words(words: &[&str]) -> Result<char, String> {
        let chars: Vec<char> = words[0].chars().collect();
        if chars.len() == 1 {
            Ok(chars[0])
        } else {
            Err(format!("cannot parse `{}` as a char", words[0]))
        }
    }
}
pub struct Chars();
impl Readable for Chars {
    type Output = Vec<char>;
    fn words_count() -> usize {
        1
    }
    fn read_words(words: &[&str]) -> Result<Vec<char>, String> {
        Ok(words[0].chars().collect())
    }
}
macro_rules ! impl_readable_for_ints { ( $ ( $ t : ty ) * ) => { $ ( impl Readable for $ t { type Output = Self ; fn words_count ( ) -> usize { 1 } fn read_words ( words : & [ & str ] ) -> Result <$ t , String > { use std :: str :: FromStr ; <$ t >:: from_str ( words [ 0 ] ) . map_err ( | _ | { format ! ( "cannot parse `{}` as {}" , words [ 0 ] , stringify ! ( $ t ) ) } ) } } ) * } ; }
impl_readable_for_ints ! ( i8 u8 i16 u16 i32 u32 i64 u64 isize usize f32 f64 ) ;
macro_rules ! define_one_origin_int_types { ( $ new_t : ident $ int_t : ty ) => { # [ doc = " Converts 1-origin integer into 0-origin when read from stdin." ] # [ doc = "" ] # [ doc = " # Example" ] # [ doc = "" ] # [ doc = " ```no_run" ] # [ doc = " # #[macro_use] extern crate atcoder_snippets;" ] # [ doc = " # use atcoder_snippets::read::*;" ] # [ doc = " // Stdin: \"1\"" ] # [ doc = " read!(a = usize_);" ] # [ doc = " assert_eq!(a, 0);" ] # [ doc = " ```" ] # [ allow ( non_camel_case_types ) ] pub struct $ new_t ; impl Readable for $ new_t { type Output = $ int_t ; fn words_count ( ) -> usize { 1 } fn read_words ( words : & [ & str ] ) -> Result < Self :: Output , String > { <$ int_t >:: read_words ( words ) . map ( | n | n - 1 ) } } } ; ( $ new_t : ident $ int_t : ty ; $ ( $ inner_new_t : ident $ inner_int_t : ty ) ;* ) => { define_one_origin_int_types ! ( $ new_t $ int_t ) ; define_one_origin_int_types ! ( $ ( $ inner_new_t $ inner_int_t ) ;* ) ; } ; }
define_one_origin_int_types ! ( u8_ u8 ; u16_ u16 ; u32_ u32 ; u64_ u64 ; usize_ usize ) ;
macro_rules ! impl_readable_for_tuples { ( $ t : ident $ var : ident ) => ( ) ; ( $ t : ident $ var : ident ; $ ( $ inner_t : ident $ inner_var : ident ) ;* ) => { impl_readable_for_tuples ! ( $ ( $ inner_t $ inner_var ) ;* ) ; impl <$ t : Readable , $ ( $ inner_t : Readable ) ,*> Readable for ( $ t , $ ( $ inner_t ) ,* ) { type Output = ( <$ t >:: Output , $ ( <$ inner_t >:: Output ) ,* ) ; fn words_count ( ) -> usize { let mut n = <$ t >:: words_count ( ) ; $ ( n += <$ inner_t >:: words_count ( ) ; ) * n } # [ allow ( unused_assignments ) ] fn read_words ( words : & [ & str ] ) -> Result < Self :: Output , String > { let mut start = 0 ; let $ var = <$ t >:: read_words ( & words [ start .. start +<$ t >:: words_count ( ) ] ) ?; start += <$ t >:: words_count ( ) ; $ ( let $ inner_var = <$ inner_t >:: read_words ( & words [ start .. start +<$ inner_t >:: words_count ( ) ] ) ?; start += <$ inner_t >:: words_count ( ) ; ) * Ok ( ( $ var , $ ( $ inner_var ) ,* ) ) } } } ; }
impl_readable_for_tuples ! ( T8 x8 ; T7 x7 ; T6 x6 ; T5 x5 ; T4 x4 ; T3 x3 ; T2 x2 ; T1 x1 ) ;
pub trait ReadableFromLine {
    type Output;
    fn read_line(line: &str) -> Result<Self::Output, String>;
}
fn split_into_words(line: &str) -> Vec<&str> {
    #[allow(deprecated)]
    line.trim_right_matches('\n').split_whitespace().collect()
}
impl<T: Readable> ReadableFromLine for T {
    type Output = T::Output;
    fn read_line(line: &str) -> Result<T::Output, String> {
        let words = split_into_words(line);
        if words.len() != T::words_count() {
            return Err(format!(
                "line `{}` has {} words, expected {}",
                line,
                words.len(),
                T::words_count()
            ));
        }
        T::read_words(&words)
    }
}
macro_rules ! impl_readable_from_line_for_tuples_with_from_iterator { ( $ u : ident : $ ( + $ bound : path ) * => $ seq_in : ty , $ seq_out : ty ; $ t : ident $ var : ident ) => { impl <$ u : Readable > ReadableFromLine for $ seq_in where <$ u as Readable >:: Output : Sized $ ( + $ bound ) * { type Output = $ seq_out ; fn read_line ( line : & str ) -> Result <$ seq_out , String > { let n = $ u :: words_count ( ) ; let words = split_into_words ( line ) ; if words . len ( ) % n != 0 { return Err ( format ! ( "line `{}` has {} words, expected multiple of {}" , line , words . len ( ) , n ) ) ; } let mut result = Vec :: new ( ) ; for chunk in words . chunks ( n ) { match $ u :: read_words ( chunk ) { Ok ( v ) => result . push ( v ) , Err ( msg ) => { let flagment_msg = if n == 1 { format ! ( "word {}" , result . len ( ) ) } else { let l = result . len ( ) ; format ! ( "words {}-{}" , n * l + 1 , ( n + 1 ) * l ) } ; return Err ( format ! ( "{} of line `{}`: {}" , flagment_msg , line , msg ) ) ; } } } Ok ( result . into_iter ( ) . collect ( ) ) } } impl < T : Readable , $ u : Readable > ReadableFromLine for ( T , $ seq_in ) where <$ u as Readable >:: Output : Sized $ ( + $ bound ) * { type Output = ( T :: Output , $ seq_out ) ; fn read_line ( line : & str ) -> Result < Self :: Output , String > { let n = T :: words_count ( ) ; # [ allow ( deprecated ) ] let trimmed = line . trim_right_matches ( '\n' ) ; let words_and_rest : Vec <& str > = trimmed . splitn ( n + 1 , ' ' ) . collect ( ) ; if words_and_rest . len ( ) < n { return Err ( format ! ( "line `{}` has {} words, expected at least {}" , line , words_and_rest . len ( ) , n ) ) ; } let words = & words_and_rest [ .. n ] ; let empty_str = "" ; let rest = words_and_rest . get ( n ) . unwrap_or ( & empty_str ) ; Ok ( ( T :: read_words ( words ) ?, <$ seq_in >:: read_line ( rest ) ? ) ) } } } ; ( $ u : ident : $ ( + $ bound : path ) * => $ seq_in : ty , $ seq_out : ty ; $ t : ident $ var : ident , $ ( $ inner_t : ident $ inner_var : ident ) ,+ ) => { impl_readable_from_line_for_tuples_with_from_iterator ! ( $ u : $ ( + $ bound ) * => $ seq_in , $ seq_out ; $ ( $ inner_t $ inner_var ) ,+ ) ; impl <$ t : Readable , $ ( $ inner_t : Readable ) ,+ , $ u : Readable > ReadableFromLine for ( $ t , $ ( $ inner_t ) ,+ , $ seq_in ) where <$ u as Readable >:: Output : Sized $ ( + $ bound ) * { type Output = ( $ t :: Output , $ ( $ inner_t :: Output ) ,+ , $ seq_out ) ; fn read_line ( line : & str ) -> Result < Self :: Output , String > { let mut n = $ t :: words_count ( ) ; $ ( n += $ inner_t :: words_count ( ) ; ) + # [ allow ( deprecated ) ] let trimmed = line . trim_right_matches ( '\n' ) ; let words_and_rest : Vec <& str > = trimmed . splitn ( n + 1 , ' ' ) . collect ( ) ; if words_and_rest . len ( ) < n { return Err ( format ! ( "line `{}` has {} words, expected at least {}" , line , words_and_rest . len ( ) , n ) ) ; } let words = & words_and_rest [ .. n ] ; let empty_str = "" ; let rest = words_and_rest . get ( n ) . unwrap_or ( & empty_str ) ; let ( $ var , $ ( $ inner_var ) ,* ) = < ( $ t , $ ( $ inner_t ) ,+ ) >:: read_words ( words ) ?; Ok ( ( $ var , $ ( $ inner_var ) ,* , <$ seq_in >:: read_line ( rest ) ? ) ) } } } ; }
#[macro_export]
macro_rules ! readable_collection { ( $ u : ident => $ collection_in : ty , $ collection_out : ty ) => { impl_readable_from_line_for_tuples_with_from_iterator ! ( $ u : => $ collection_in , $ collection_out ; T8 x8 , T7 x7 , T6 x6 , T5 x5 , T4 x4 , T3 x3 , T2 x2 , T1 x1 ) ; } ; ( $ u : ident : $ ( $ bound : path ) ,* => $ collection_in : ty , $ collection_out : ty ) => { impl_readable_from_line_for_tuples_with_from_iterator ! ( $ u : $ ( + $ bound ) * => $ collection_in , $ collection_out ; T8 x8 , T7 x7 , T6 x6 , T5 x5 , T4 x4 , T3 x3 , T2 x2 , T1 x1 ) ; } }
readable_collection ! ( U => Vec < U >, Vec < U :: Output > ) ;
readable_collection ! ( U => std :: collections :: VecDeque < U >, std :: collections :: VecDeque < U :: Output > ) ;
readable_collection ! ( U : Eq , std :: hash :: Hash => std :: collections :: HashSet < U >, std :: collections :: HashSet < U :: Output > ) ;
readable_collection ! ( U : Ord => std :: collections :: BTreeSet < U >, std :: collections :: BTreeSet < U :: Output > ) ;
readable_collection ! ( U : Ord => std :: collections :: BinaryHeap < U >, std :: collections :: BinaryHeap < U :: Output > ) ;
pub fn read<T: ReadableFromLine>() -> T::Output {
    let mut line = String::new();
    std::io::stdin().read_line(&mut line).unwrap();
    T::read_line(&line).unwrap()
}
#[macro_export]
macro_rules ! read { ( ) => { let mut line = String :: new ( ) ; std :: io :: stdin ( ) . read_line ( & mut line ) . unwrap ( ) ; } ; ( $ pat : pat = $ t : ty ) => { let $ pat = read ::<$ t > ( ) ; } ; ( $ ( $ pat : pat = $ t : ty ) ,+ ) => { read ! ( ( $ ( $ pat ) ,* ) = ( $ ( $ t ) ,* ) ) ; } ; }
#[macro_export]
macro_rules ! readls { ( $ ( $ pat : pat = $ t : ty ) ,+ ) => { $ ( read ! ( $ pat = $ t ) ; ) * } ; }
pub fn readx<T: ReadableFromLine>() -> Vec<T::Output> {
    use std::io::{self, BufRead};
    let stdin = io::stdin();
    let result = stdin
        .lock()
        .lines()
        .map(|line_result| {
            let line = line_result.expect("read from stdin failed");
            T::read_line(&line).unwrap()
        })
        .collect();
    result
}
#[macro_export]
macro_rules ! readx_loop { ( |$ pat : pat = $ t : ty | $ body : expr ) => { { use std :: io :: BufRead ; let stdin = std :: io :: stdin ( ) ; for line in stdin . lock ( ) . lines ( ) { let line = line . expect ( "read from stdin failed" ) ; let $ pat = <$ t >:: read_line ( & line ) . unwrap ( ) ; $ body } } } ; ( |$ ( $ pat : pat = $ t : ty ) ,*| $ body : expr ) => { readx_loop ! ( | ( $ ( $ pat ) ,* ) = ( $ ( $ t ) ,* ) | $ body ) ; } ; }
pub fn readn<T: ReadableFromLine>(n: usize) -> Vec<T::Output> {
    use std::io::{self, BufRead};
    let stdin = io::stdin();
    let result: Vec<T::Output> = stdin
        .lock()
        .lines()
        .take(n)
        .map(|line_result| {
            let line = line_result.expect("read from stdin failed");
            T::read_line(&line).unwrap()
        })
        .collect();
    if result.len() < n {
        panic!(
            "expected reading {} lines, but only {} lines are read",
            n,
            result.len()
        );
    }
    result
}
#[macro_export]
macro_rules ! readn_loop { ( $ n : expr , |$ pat : pat = $ t : ty | $ body : expr ) => { { use std :: io :: BufRead ; let stdin = std :: io :: stdin ( ) ; let mut lock = stdin . lock ( ) ; for _ in 0 ..$ n { let mut line = String :: new ( ) ; lock . read_line ( & mut line ) . expect ( "read from stdin failed" ) ; let $ pat = <$ t >:: read_line ( & line ) . unwrap ( ) ; $ body } } } ; ( $ n : expr , |$ ( $ pat : pat = $ t : ty ) ,*| $ body : expr ) => { readn_loop ! ( $ n , | ( $ ( $ pat ) ,* ) = ( $ ( $ t ) ,* ) | $ body ) ; } ; }
pub trait Words {
    fn read<T: Readable>(&self) -> T::Output;
}
impl<'a> Words for [&'a str] {
    fn read<T: Readable>(&self) -> T::Output {
        T::read_words(self).unwrap()
    }
}
impl<'a> Words for &'a str {
    fn read<T: Readable>(&self) -> T::Output {
        T::read_words(&[self]).unwrap()
    }
}

pub struct SliceGroupBy<'a, T: 'a, K: Eq, F: Fn(&T) -> K> {
    key_fn: F,
    rest: &'a [T],
}
impl<'a, T, K: Eq, F: Fn(&T) -> K> Iterator for SliceGroupBy<'a, T, K, F> {
    type Item = (K, &'a [T]);
    fn next(&mut self) -> Option<(K, &'a [T])> {
        if self.rest.is_empty() {
            return None;
        }
        let key = (self.key_fn)(&self.rest[0]);
        let mut end = 1;
        while end < self.rest.len() && (self.key_fn)(&self.rest[end]) == key {
            end += 1;
        }
        let (left, right) = self.rest.split_at(end);
        self.rest = right;
        Some((key, left))
    }
}
pub struct SplitByGap<'a, T: 'a, F: Fn(&T, &T) -> bool> {
    gap_fn: F,
    rest: &'a [T],
}
impl<'a, T, F: Fn(&T, &T) -> bool> Iterator for SplitByGap<'a, T, F> {
    type Item = &'a [T];
    fn next(&mut self) -> Option<&'a [T]> {
        if self.rest.is_empty() {
            return None;
        }
        let mut r = 1;
        while r < self.rest.len() && !(self.gap_fn)(&self.rest[r - 1], &self.rest[r]) {
            r += 1;
        }
        let (result, rest) = self.rest.split_at(r);
        self.rest = rest;
        Some(result)
    }
}
pub struct Permutations<'a, T: 'a> {
    items: &'a [T],
    indices: Option<Vec<usize>>,
    is_first: bool,
}
impl<'a, T: 'a> Iterator for Permutations<'a, T> {
    type Item = Vec<&'a T>;
    fn next(&mut self) -> Option<Vec<&'a T>> {
        if !self.is_first {
            let indices_opt = self.indices.take();
            if let Some(indices) = indices_opt {
                self.indices = next_permutation(indices);
            }
        } else {
            self.is_first = false;
        }
        self.indices
            .as_ref()
            .map(|indices| indices.into_iter().map(|&i| &self.items[i]).collect())
    }
}
fn next_permutation(mut indices: Vec<usize>) -> Option<Vec<usize>> {
    (0..indices.len().saturating_sub(1))
        .rev()
        .find(|&left| indices[left] < indices[left + 1])
        .map(|left| {
            let right = (0..indices.len())
                .rev()
                .find(|&right| indices[left] < indices[right])
                .unwrap();
            indices.swap(left, right);
            indices[left + 1..].reverse();
            indices
        })
}
fn count_inversions_sub<T: Clone + Ord>(seq: &[T]) -> (Vec<T>, usize) {
    if seq.len() <= 1 {
        (seq.to_vec(), 0)
    } else {
        let mid = seq.len() / 2;
        let (sub1, inv1) = count_inversions_sub(&seq[..mid]);
        let (sub2, inv2) = count_inversions_sub(&seq[mid..]);
        let mut sorted = Vec::new();
        let (mut i1, mut i2) = (0, 0);
        let mut inv = 0;
        loop {
            match (sub1.get(i1), sub2.get(i2)) {
                (Some(x1), Some(x2)) => {
                    if x1 <= x2 {
                        sorted.push(x1.clone());
                        i1 += 1;
                    } else {
                        inv += sub1.len() - i1;
                        sorted.push(x2.clone());
                        i2 += 1;
                    }
                }
                (Some(_), None) => {
                    sorted.extend(sub1[i1..].iter().cloned());
                    break;
                }
                (None, Some(_)) => {
                    sorted.extend(sub2[i2..].iter().cloned());
                    break;
                }
                (None, None) => break,
            }
        }
        (sorted, inv + inv1 + inv2)
    }
}
pub trait SliceExt<T> {
    fn group_by<K: Eq, F: Fn(&T) -> K>(&self, key_fn: F) -> SliceGroupBy<T, K, F>;
    fn split_by_gap<F: Fn(&T, &T) -> bool>(&self, gap_fn: F) -> SplitByGap<T, F>;
    fn permutations(&self) -> Permutations<T>;
    fn count_inversions(&self) -> usize
    where
        T: Clone + Ord;
}
impl<T> SliceExt<T> for [T] {
    fn group_by<K: Eq, F: Fn(&T) -> K>(&self, key_fn: F) -> SliceGroupBy<T, K, F> {
        SliceGroupBy {
            key_fn: key_fn,
            rest: self,
        }
    }
    fn split_by_gap<F: Fn(&T, &T) -> bool>(&self, gap_fn: F) -> SplitByGap<T, F> {
        SplitByGap {
            gap_fn: gap_fn,
            rest: self,
        }
    }
    fn permutations(&self) -> Permutations<T> {
        let indices = if self.is_empty() {
            None
        } else {
            Some((0..self.len()).collect())
        };
        Permutations {
            items: self,
            indices: indices,
            is_first: true,
        }
    }
    fn count_inversions(&self) -> usize
    where
        T: Clone + Ord,
    {
        count_inversions_sub(self).1
    }
}
pub trait SliceOfVecsExt<T> {
    fn transpose_clone(&self) -> Option<Vec<Vec<T>>>
    where
        T: Clone;
}
impl<T> SliceOfVecsExt<T> for [Vec<T>] {
    fn transpose_clone(&self) -> Option<Vec<Vec<T>>>
    where
        T: Clone,
    {
        if self.iter().any(|row| row.is_empty()) {
            return None;
        }
        if self.windows(2).any(|rows| rows[0].len() < rows[1].len()) {
            return None;
        }
        let mut result = Vec::new();
        let n = self.get(0).map_or(0, |first| first.len());
        for i in 0..n {
            let mut result_row = Vec::new();
            for j in 0..self.len() {
                if self[j].len() <= i {
                    break;
                }
                result_row.push(self[j][i].clone());
            }
            result.push(result_row);
        }
        Some(result)
    }
}

#[macro_export]
#[cfg(local)]
macro_rules! dbg {
    ( ) => {{
        use std::io::{self, Write};
        writeln!(io::stderr(), "{}: dbg", line!()).unwrap();
    }};
    ( $ e : expr ) => {{
        use std::io::{self, Write};
        let result = $e;
        writeln!(
            io::stderr(),
            "{}: {} = {:?}",
            line!(),
            stringify!($e),
            result
        )
            .unwrap();
        result
    }};
}
#[macro_export]
#[cfg(not(local))]
macro_rules! dbg {
    ( ) => {};
    ( $ e : expr ) => {
        $e
    };
}

macro_rules! forward_ref_unop {
    ( impl $ op : ident , $ method : ident for $ t : ty ) => {
        impl std::ops::$op for &$t {
            type Output = <$t as std::ops::$op>::Output;
            fn $method(self) -> <$t as std::ops::$op>::Output {
                std::ops::$op::$method(*self)
            }
        }
    };
}
macro_rules! forward_ref_binop {
    ( impl $ op : ident , $ method : ident for $ t : ty , $ u : ty ) => {
        impl<'a> std::ops::$op<$u> for &'a $t {
            type Output = <$t as std::ops::$op<$u>>::Output;
            fn $method(self, other: $u) -> <$t as std::ops::$op<$u>>::Output {
                std::ops::$op::$method(*self, other)
            }
        }
        impl std::ops::$op<&$u> for $t {
            type Output = <$t as std::ops::$op<$u>>::Output;
            fn $method(self, other: &$u) -> <$t as std::ops::$op<$u>>::Output {
                std::ops::$op::$method(self, *other)
            }
        }
        impl std::ops::$op<&$u> for &$t {
            type Output = <$t as std::ops::$op<$u>>::Output;
            fn $method(self, other: &$u) -> <$t as std::ops::$op<$u>>::Output {
                std::ops::$op::$method(*self, *other)
            }
        }
    };
}
macro_rules! forward_ref_op_assign {
    ( impl $ op : ident , $ method : ident for $ t : ty , $ u : ty ) => {
        impl std::ops::$op<&$u> for $t {
            fn $method(&mut self, other: &$u) {
                std::ops::$op::$method(self, *other);
            }
        }
    };
}
pub trait PrimitiveInteger:
Sized
    + Ord
    + std::ops::Add<Output = Self>
    + std::ops::Sub<Output = Self>
    + std::ops::Div<Output = Self>
{
    fn one() -> Self;
    fn abs_diff(self, rhs: Self) -> Self;
    fn rem_euclid(self, rhs: Self) -> Self;
}
macro_rules ! impl_primitive_integer { ( $ ( $ t : ty ) * ) => { $ ( impl PrimitiveInteger for $ t { fn one ( ) -> $ t { 1 } fn abs_diff ( self , rhs : $ t ) -> $ t { if self < rhs { rhs - self } else { self - rhs } } # [ allow ( unused_comparisons ) ] fn rem_euclid ( self , rhs : $ t ) -> $ t { let r = self % rhs ; if r < 0 { if rhs < 0 { r - rhs } else { r + rhs } } else { r } } } ) * } }
impl_primitive_integer ! ( u8 u16 u32 u64 usize i8 i16 i32 i64 isize ) ;
pub trait PrimitiveUnsigned: PrimitiveInteger {
    fn ceil_div(self, rhs: Self) -> Self;
    fn round_div(self, rhs: Self) -> Self;
    fn log2(self) -> Option<Self>;
    fn ceil_log2(self) -> Option<Self>;
    fn sqrt(self) -> Self;
}
macro_rules ! impl_primitive_unsigned { ( $ ( $ t : ty ) * ) => { $ ( impl PrimitiveUnsigned for $ t { fn ceil_div ( self , rhs : $ t ) -> $ t { ( self + rhs - 1 ) / rhs } fn round_div ( self , rhs : $ t ) -> $ t { ( self + rhs / 2 ) / rhs } fn log2 ( mut self ) -> Option <$ t > { if self == 0 { None } else { let mut ans = 0 ; while self > 1 { ans += 1 ; self /= 2 ; } Some ( ans ) } } fn ceil_log2 ( self ) -> Option <$ t > { self . log2 ( ) . map ( | x | { ( self + ( ( 1 << x ) - 1 ) ) . log2 ( ) . unwrap ( ) } ) } fn sqrt ( self ) -> $ t { ( self as f64 ) . sqrt ( ) as $ t } } ) * } }
impl_primitive_unsigned ! ( u8 u16 u32 u64 usize ) ;

fn main() {
    read!(n = usize);
    let mut enumerated_as: Vec<(usize, u32)> = readx::<u32>().into_iter().enumerate().collect();
    enumerated_as.sort_by_key(|&(_, a)| a);
    let mut as_normalized = vec![0; n];
    for (a, i) in enumerated_as.into_iter().map(|(i, _)| i).enumerate() {
        as_normalized[i] = a;
    }
    let odd_shifted = as_normalized.into_iter().enumerate()
        .filter(|&(i, a)| i.abs_diff(a) % 2 == 1)
        .count();
    println!("{}", odd_shifted / 2);
}