use std::cell::{Cell, RefCell};
use std::vec;
trait KeyFunction<A> {
    type Key;
    fn call_mut(&mut self, arg: A) -> Self::Key;
}
impl<'a, A, K, F: ?Sized> KeyFunction<A> for F
    where F: FnMut(A) -> K
{
    type Key = K;
    #[inline]
    fn call_mut(&mut self, arg: A) -> Self::Key {
        (*self)(arg)
    }
}
#[derive(Debug)]
struct ChunkIndex {
    size: usize,
    index: usize,
    key: usize,
}
impl ChunkIndex {
    #[inline(always)]
    fn new(size: usize) -> Self {
        ChunkIndex {
            size: size,
            index: 0,
            key: 0,
        }
    }
}
impl<'a, A> KeyFunction<A> for ChunkIndex {
    type Key = usize;
    #[inline(always)]
    fn call_mut(&mut self, _arg: A) -> Self::Key {
        if self.index == self.size {
            self.key += 1;
            self.index = 0;
        }
        self.index += 1;
        self.key
    }
}
struct GroupInner<K, I, F>
    where I: Iterator
{
    key: F,
    iter: I,
    current_key: Option<K>,
    current_elt: Option<I::Item>,
    
    done: bool,
    
    top_group: usize,
    
    oldest_buffered_group: usize,
    
    
    
    bottom_group: usize,
    
    buffer: Vec<vec::IntoIter<I::Item>>,
    
    dropped_group: usize,
}
impl<K, I, F> GroupInner<K, I, F>
    where I: Iterator,
          F: for<'a> KeyFunction<&'a I::Item, Key=K>,
          K: PartialEq,
{
    
    #[inline(always)]
    fn step(&mut self, client: usize) -> Option<I::Item> {
        
        if client < self.oldest_buffered_group {
            None
        } else if client < self.top_group ||
            (client == self.top_group &&
             self.buffer.len() > self.top_group - self.bottom_group)
        {
            self.lookup_buffer(client)
        } else if self.done {
            None
        } else if self.top_group == client {
            self.step_current()
        } else {
            self.step_buffering(client)
        }
    }
    #[inline(never)]
    fn lookup_buffer(&mut self, client: usize) -> Option<I::Item> {
        
        let bufidx = client - self.bottom_group;
        if client < self.oldest_buffered_group {
            return None;
        }
        let elt = self.buffer.get_mut(bufidx).and_then(|queue| queue.next());
        if elt.is_none() && client == self.oldest_buffered_group {
            
            
            
            self.oldest_buffered_group += 1;
            
            while self.buffer.get(self.oldest_buffered_group - self.bottom_group)
                             .map_or(false, |buf| buf.len() == 0)
            {
                self.oldest_buffered_group += 1;
            }
            let nclear = self.oldest_buffered_group - self.bottom_group;
            if nclear > 0 && nclear >= self.buffer.len() / 2 {
                let mut i = 0;
                self.buffer.retain(|buf| {
                    i += 1;
                    debug_assert!(buf.len() == 0 || i > nclear);
                    i > nclear
                });
                self.bottom_group = self.oldest_buffered_group;
            }
        }
        elt
    }
    
    
    #[inline(always)]
    fn next_element(&mut self) -> Option<I::Item> {
        debug_assert!(!self.done);
        match self.iter.next() {
            None => { self.done = true; None }
            otherwise => otherwise,
        }
    }
    #[inline(never)]
    fn step_buffering(&mut self, client: usize) -> Option<I::Item> {
        
        
        
        
        
        debug_assert!(self.top_group + 1 == client);
        let mut group = Vec::new();
        if let Some(elt) = self.current_elt.take() {
            if self.top_group != self.dropped_group {
                group.push(elt);
            }
        }
        let mut first_elt = None; 
        while let Some(elt) = self.next_element() {
            let key = self.key.call_mut(&elt);
            match self.current_key.take() {
                None => {}
                Some(old_key) => if old_key != key {
                    self.current_key = Some(key);
                    first_elt = Some(elt);
                    break;
                },
            }
            self.current_key = Some(key);
            if self.top_group != self.dropped_group {
                group.push(elt);
            }
        }
        if self.top_group != self.dropped_group {
            self.push_next_group(group);
        }
        if first_elt.is_some() {
            self.top_group += 1;
            debug_assert!(self.top_group == client);
        }
        first_elt
    }
    fn push_next_group(&mut self, group: Vec<I::Item>) {
        
        while self.top_group - self.bottom_group > self.buffer.len() {
            if self.buffer.is_empty() {
                self.bottom_group += 1;
                self.oldest_buffered_group += 1;
            } else {
                self.buffer.push(Vec::new().into_iter());
            }
        }
        self.buffer.push(group.into_iter());
        debug_assert!(self.top_group + 1 - self.bottom_group == self.buffer.len());
    }
    
    #[inline]
    fn step_current(&mut self) -> Option<I::Item> {
        debug_assert!(!self.done);
        if let elt @ Some(..) = self.current_elt.take() {
            return elt;
        }
        match self.next_element() {
            None => None,
            Some(elt) => {
                let key = self.key.call_mut(&elt);
                match self.current_key.take() {
                    None => {}
                    Some(old_key) => if old_key != key {
                        self.current_key = Some(key);
                        self.current_elt = Some(elt);
                        self.top_group += 1;
                        return None;
                    },
                }
                self.current_key = Some(key);
                Some(elt)
            }
        }
    }
    
    
    
    
    
    fn group_key(&mut self, client: usize) -> K {
        
        
        
        
        debug_assert!(!self.done);
        debug_assert!(client == self.top_group);
        debug_assert!(self.current_key.is_some());
        debug_assert!(self.current_elt.is_none());
        let old_key = self.current_key.take().unwrap();
        if let Some(elt) = self.next_element() {
            let key = self.key.call_mut(&elt);
            if old_key != key {
                self.top_group += 1;
            }
            self.current_key = Some(key);
            self.current_elt = Some(elt);
        }
        old_key
    }
}
impl<K, I, F> GroupInner<K, I, F>
    where I: Iterator,
{
    
    fn drop_group(&mut self, client: usize) {
        
        if self.dropped_group == !0 || client > self.dropped_group {
            self.dropped_group = client;
        }
    }
}
#[must_use = "iterator adaptors are lazy and do nothing unless consumed"]
pub struct GroupBy<K, I, F>
    where I: Iterator,
{
    inner: RefCell<GroupInner<K, I, F>>,
    
    
    index: Cell<usize>,
}
pub fn new<K, J, F>(iter: J, f: F) -> GroupBy<K, J::IntoIter, F>
    where J: IntoIterator,
          F: FnMut(&J::Item) -> K,
{
    GroupBy {
        inner: RefCell::new(GroupInner {
            key: f,
            iter: iter.into_iter(),
            current_key: None,
            current_elt: None,
            done: false,
            top_group: 0,
            oldest_buffered_group: 0,
            bottom_group: 0,
            buffer: Vec::new(),
            dropped_group: !0,
        }),
        index: Cell::new(0),
    }
}
impl<K, I, F> GroupBy<K, I, F>
    where I: Iterator,
{
    
    fn step(&self, client: usize) -> Option<I::Item>
        where F: FnMut(&I::Item) -> K,
              K: PartialEq,
    {
        self.inner.borrow_mut().step(client)
    }
    
    fn drop_group(&self, client: usize) {
        self.inner.borrow_mut().drop_group(client)
    }
}
impl<'a, K, I, F> IntoIterator for &'a GroupBy<K, I, F>
    where I: Iterator,
          I::Item: 'a,
          F: FnMut(&I::Item) -> K,
          K: PartialEq
{
    type Item = (K, Group<'a, K, I, F>);
    type IntoIter = Groups<'a, K, I, F>;
    fn into_iter(self) -> Self::IntoIter {
        Groups { parent: self }
    }
}
#[must_use = "iterator adaptors are lazy and do nothing unless consumed"]
pub struct Groups<'a, K: 'a, I: 'a, F: 'a>
    where I: Iterator,
          I::Item: 'a
{
    parent: &'a GroupBy<K, I, F>,
}
impl<'a, K, I, F> Iterator for Groups<'a, K, I, F>
    where I: Iterator,
          I::Item: 'a,
          F: FnMut(&I::Item) -> K,
          K: PartialEq
{
    type Item = (K, Group<'a, K, I, F>);
    #[inline]
    fn next(&mut self) -> Option<Self::Item> {
        let index = self.parent.index.get();
        self.parent.index.set(index + 1);
        let inner = &mut *self.parent.inner.borrow_mut();
        inner.step(index).map(|elt| {
            let key = inner.group_key(index);
            (key, Group {
                parent: self.parent,
                index: index,
                first: Some(elt),
            })
        })
    }
}
pub struct Group<'a, K: 'a, I: 'a, F: 'a>
    where I: Iterator,
          I::Item: 'a,
{
    parent: &'a GroupBy<K, I, F>,
    index: usize,
    first: Option<I::Item>,
}
impl<'a, K, I, F> Drop for Group<'a, K, I, F>
    where I: Iterator,
          I::Item: 'a,
{
    fn drop(&mut self) {
        self.parent.drop_group(self.index);
    }
}
impl<'a, K, I, F> Iterator for Group<'a, K, I, F>
    where I: Iterator,
          I::Item: 'a,
          F: FnMut(&I::Item) -> K,
          K: PartialEq,
{
    type Item = I::Item;
    #[inline]
    fn next(&mut self) -> Option<Self::Item> {
        if let elt @ Some(..) = self.first.take() {
            return elt;
        }
        self.parent.step(self.index)
    }
}
pub fn new_chunks<J>(iter: J, size: usize) -> IntoChunks<J::IntoIter>
    where J: IntoIterator,
{
    IntoChunks {
        inner: RefCell::new(GroupInner {
            key: ChunkIndex::new(size),
            iter: iter.into_iter(),
            current_key: None,
            current_elt: None,
            done: false,
            top_group: 0,
            oldest_buffered_group: 0,
            bottom_group: 0,
            buffer: Vec::new(),
            dropped_group: !0,
        }),
        index: Cell::new(0),
    }
}
#[must_use = "iterator adaptors are lazy and do nothing unless consumed"]
pub struct IntoChunks<I>
    where I: Iterator,
{
    inner: RefCell<GroupInner<usize, I, ChunkIndex>>,
    
    
    index: Cell<usize>,
}
impl<I> IntoChunks<I>
    where I: Iterator,
{
    
    fn step(&self, client: usize) -> Option<I::Item> {
        self.inner.borrow_mut().step(client)
    }
    
    fn drop_group(&self, client: usize) {
        self.inner.borrow_mut().drop_group(client)
    }
}
impl<'a, I> IntoIterator for &'a IntoChunks<I>
    where I: Iterator,
          I::Item: 'a,
{
    type Item = Chunk<'a, I>;
    type IntoIter = Chunks<'a, I>;
    fn into_iter(self) -> Self::IntoIter {
        Chunks {
            parent: self,
        }
    }
}
#[must_use = "iterator adaptors are lazy and do nothing unless consumed"]
pub struct Chunks<'a, I: 'a>
    where I: Iterator,
          I::Item: 'a,
{
    parent: &'a IntoChunks<I>,
}
impl<'a, I> Iterator for Chunks<'a, I>
    where I: Iterator,
          I::Item: 'a,
{
    type Item = Chunk<'a, I>;
    #[inline]
    fn next(&mut self) -> Option<Self::Item> {
        let index = self.parent.index.get();
        self.parent.index.set(index + 1);
        let inner = &mut *self.parent.inner.borrow_mut();
        inner.step(index).map(|elt| {
            Chunk {
                parent: self.parent,
                index: index,
                first: Some(elt),
            }
        })
    }
}
pub struct Chunk<'a, I: 'a>
    where I: Iterator,
          I::Item: 'a,
{
    parent: &'a IntoChunks<I>,
    index: usize,
    first: Option<I::Item>,
}
impl<'a, I> Drop for Chunk<'a, I>
    where I: Iterator,
          I::Item: 'a,
{
    fn drop(&mut self) {
        self.parent.drop_group(self.index);
    }
}
impl<'a, I> Iterator for Chunk<'a, I>
    where I: Iterator,
          I::Item: 'a,
{
    type Item = I::Item;
    #[inline]
    fn next(&mut self) -> Option<Self::Item> {
        if let elt @ Some(..) = self.first.take() {
            return elt;
        }
        self.parent.step(self.index)
    }
}