結果
| 問題 | No.649 ここでちょっとQK！ |
| ユーザー |
 へのく
|
| 提出日時 | 2021-04-23 23:29:30 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
AC
|
| 実行時間 | 421 ms / 3,000 ms |
| コード長 | 41,811 bytes |
| コンパイル時間 | 12,503 ms |
| コンパイル使用メモリ | 377,908 KB |
| 実行使用メモリ | 17,664 KB |
| 最終ジャッジ日時 | 2024-07-04 08:47:30 |
| 合計ジャッジ時間 | 20,713 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 1 ms
5,248 KB |
| testcase_01 | AC | 1 ms
5,376 KB |
| testcase_02 | AC | 1 ms
5,376 KB |
| testcase_03 | AC | 37 ms
14,936 KB |
| testcase_04 | AC | 195 ms
17,664 KB |
| testcase_05 | AC | 181 ms
17,664 KB |
| testcase_06 | AC | 179 ms
17,664 KB |
| testcase_07 | AC | 0 ms
5,376 KB |
| testcase_08 | AC | 0 ms
5,376 KB |
| testcase_09 | AC | 1 ms
5,376 KB |
| testcase_10 | AC | 1 ms
5,376 KB |
| testcase_11 | AC | 1 ms
5,376 KB |
| testcase_12 | AC | 179 ms
8,960 KB |
| testcase_13 | AC | 170 ms
8,960 KB |
| testcase_14 | AC | 169 ms
8,704 KB |
| testcase_15 | AC | 176 ms
8,960 KB |
| testcase_16 | AC | 175 ms
9,472 KB |
| testcase_17 | AC | 205 ms
9,984 KB |
| testcase_18 | AC | 219 ms
10,752 KB |
| testcase_19 | AC | 238 ms
11,264 KB |
| testcase_20 | AC | 254 ms
12,032 KB |
| testcase_21 | AC | 285 ms
12,800 KB |
| testcase_22 | AC | 310 ms
13,568 KB |
| testcase_23 | AC | 328 ms
14,208 KB |
| testcase_24 | AC | 369 ms
14,848 KB |
| testcase_25 | AC | 376 ms
15,744 KB |
| testcase_26 | AC | 421 ms
16,384 KB |
| testcase_27 | AC | 2 ms
5,376 KB |
| testcase_28 | AC | 2 ms
5,376 KB |
| testcase_29 | AC | 2 ms
5,376 KB |
| testcase_30 | AC | 162 ms
8,832 KB |
| testcase_31 | AC | 168 ms
9,216 KB |
| testcase_32 | AC | 1 ms
5,376 KB |
| testcase_33 | AC | 1 ms
5,376 KB |
| testcase_34 | AC | 1 ms
5,376 KB |
| testcase_35 | AC | 1 ms
5,376 KB |
ソースコード
#![allow(unused_imports, non_snake_case)]
#![allow(dead_code)]
use crate::{
arraylist::List,
data_structure::{implicit_treap::ImplicitTreap, monoid::MaxUpdate},
scanner::Scanner,
};
fn main() {
let mut scan = Scanner::new();
let q = scan.int();
let k = scan.int();
let mut treap = ImplicitTreap::<MaxUpdate>::new();
let mut ret = list!();
for _ in 0..q {
let tpe = scan.int();
if tpe == 1 {
let v = scan.long();
let i = treap.binary_search(.., v, true);
treap.insert(i, v);
} else {
let r;
if treap.lens() >= k {
r = treap.get(k - 1);
treap.remove(k - 1);
} else {
r = -1;
}
ret.push(r);
}
}
println!("{}", ret.join("\n"));
}
pub mod data_structure {
pub mod implicit_treap {
use crate::data_structure::monoid::{MapMonoid, Monoid};
use crate::{ext::range::IntRangeBounds, independent::random::Random};
use std::{
cmp::Ordering,
fmt::{Debug, Display, Formatter},
iter::FromIterator,
ops::RangeBounds,
};
pub struct Node<F: MapMonoid> {
pub value: <F::M as Monoid>::S,
pub acc: <F::M as Monoid>::S,
pub lazy: F::F,
pub rev: bool,
pub priority: u64,
pub len: isize,
pub left: Tree<F>,
pub right: Tree<F>,
}
impl<F: MapMonoid> Node<F> {
pub fn new(value: <F::M as Monoid>::S, priority: u64) -> Node<F> {
Node {
value,
acc: value,
lazy: F::id(),
rev: false,
priority,
len: 1,
left: None,
right: None,
}
}
pub fn pushup(&mut self) {
self.update_cnt();
self.update_acc();
}
fn update_cnt(&mut self) {
let Node {
ref mut len,
ref left,
ref right,
..
} = self;
*len = 1;
*len += get_len(left);
*len += get_len(right);
}
fn update_acc(&mut self) {
let Node {
ref mut acc,
ref value,
ref left,
ref right,
..
} = self;
*acc = F::op(get_acc(left), F::op(*value, get_acc(right)));
}
pub fn pushdown(&mut self) {
let Node {
ref mut value,
ref mut lazy,
ref mut rev,
ref mut left,
ref mut right,
..
} = self;
if *rev {
*rev = false;
std::mem::swap(left, right);
if let Some(node) = left {
node.rev ^= true;
}
if let Some(node) = right {
node.rev ^= true;
}
}
if *lazy != F::id() {
if let Some(l) = left {
l.lazy = F::composite(*lazy, l.lazy);
l.acc = F::map(F::p(*lazy, l.len), l.acc);
}
if let Some(r) = right {
r.lazy = F::composite(*lazy, r.lazy);
r.acc = F::map(F::p(*lazy, r.len), r.acc);
}
*value = F::map(F::p(*lazy, 1), *value);
*lazy = F::id();
}
self.pushup();
}
pub fn implicit_key(&self) -> isize {
self.left.as_ref().map_or(1, |node| node.len + 1)
}
}
type Tree<F> = Option<Box<Node<F>>>;
fn get_acc<F: MapMonoid>(tree: &Tree<F>) -> <F::M as Monoid>::S {
tree.as_ref().map_or(F::zero(), |node| node.acc)
}
fn get_len<F: MapMonoid>(tree: &Tree<F>) -> isize {
tree.as_ref().map_or(0, |node| node.len)
}
fn get_value<F: MapMonoid>(tree: &Tree<F>) -> <F::M as Monoid>::S {
tree.as_ref().map_or(F::zero(), |node| node.value)
}
fn get_children<F: MapMonoid>(tree: &Tree<F>) -> (&Tree<F>, &Tree<F>) {
if let Some(node) = tree {
let Node {
ref left,
ref right,
..
} = &**node;
(left, right)
} else {
(&None, &None)
}
}
fn merge<F: MapMonoid>(l_tree: &mut Tree<F>, mut r_tree: Tree<F>) {
if let Some(l_node) = l_tree {
l_node.pushdown();
}
if let Some(r_node) = &mut r_tree {
r_node.pushdown();
}
match (l_tree.take(), r_tree) {
(Some(mut l_node), Some(mut r_node)) => {
if l_node.priority > r_node.priority {
merge(&mut l_node.right, Some(r_node));
l_node.pushup();
*l_tree = Some(l_node);
} else {
let mut new_tree = Some(l_node);
merge(&mut new_tree, r_node.left.take());
r_node.left = new_tree;
r_node.pushup();
*l_tree = Some(r_node);
}
}
(new_tree, None) | (None, new_tree) => *l_tree = new_tree,
}
}
fn split<F: MapMonoid>(tree: &mut Tree<F>, index: isize, left_inclusive: bool) -> Tree<F> {
match tree.take() {
Some(mut node) => {
node.pushdown();
let key = node.implicit_key();
let cmp = index.cmp(&key);
let ret;
if cmp == Ordering::Less || (cmp == Ordering::Equal && left_inclusive) {
let res = split(&mut node.left, index, left_inclusive);
*tree = node.left.take();
node.left = res;
node.pushup();
ret = Some(node);
} else {
ret = split(&mut node.right, index - key, left_inclusive);
node.pushup();
*tree = Some(node);
}
ret
}
None => None,
}
}
fn query<F: MapMonoid, B>(tree: &mut Tree<F>, range: B) -> <F::M as Monoid>::S
where
B: RangeBounds<isize>,
{
let len = get_len(tree);
if range.empty() {
return F::zero();
}
let ran = range.to_harfopen(0, len);
let mut tree2 = split(tree, ran.start, false);
let tree3 = split(&mut tree2, ran.end - ran.start, false);
let ret = get_acc(&tree2);
merge(&mut tree2, tree3);
merge(tree, tree2);
ret
}
fn set<F: MapMonoid>(tree: &mut Tree<F>, index: isize, mut item: Tree<F>) {
let mut tree2 = split(tree, index, false);
let tree3 = split(&mut tree2, 1, false);
merge(&mut item, tree3);
merge(tree, item);
}
fn get<F: MapMonoid>(tree: &mut Tree<F>, index: isize) -> <F::M as Monoid>::S {
let mut tree2 = split(tree, index, false);
let tree3 = split(&mut tree2, 1, false);
let ret = tree2.as_ref().map_or(F::zero(), |node| node.value);
merge(&mut tree2, tree3);
merge(tree, tree2);
ret
}
fn apply_range<B, F: MapMonoid>(tree: &mut Tree<F>, range: B, x: F::F)
where
B: RangeBounds<isize>,
{
if range.empty() {
return;
}
let ran = range.to_harfopen(0, get_len(tree));
let mut tree2 = split(tree, ran.start, false);
let tree3 = split(&mut tree2, ran.end - ran.start, false);
if let Some(t2) = &mut tree2 {
t2.lazy = F::composite(x, t2.lazy);
t2.acc = F::map(F::p(x, t2.len), t2.acc);
}
merge(&mut tree2, tree3);
merge(tree, tree2);
}
fn find<F: MapMonoid>(
tree: &Tree<F>,
x: <F::M as Monoid>::S,
offset: isize,
left: bool,
) -> Option<isize> {
if F::op(get_acc(tree), x) == x {
None
} else {
let (l_tree, r_tree) = get_children(tree);
if left {
if l_tree.is_some() && F::op(get_acc(l_tree), x) != x {
find(l_tree, x, offset, left)
} else {
if F::op(get_value(tree), x) != x {
Some(offset + get_len(l_tree))
} else {
find(r_tree, x, offset + get_len(l_tree) + 1, left)
}
}
} else {
if r_tree.is_some() && F::op(get_acc(r_tree), x) != x {
find(r_tree, x, offset + get_len(l_tree) + 1, left)
} else {
if F::op(get_value(tree), x) != x {
Some(offset + get_len(l_tree))
} else {
find(l_tree, x, offset, left)
}
}
}
}
}
fn pushdown_all<F: MapMonoid>(tree: &mut Tree<F>) {
if let Some(node) = tree {
node.pushdown();
pushdown_all(&mut node.left);
pushdown_all(&mut node.right);
}
}
fn json<F: MapMonoid>(tree: &Tree<F>) -> String
where
<F::M as Monoid>::S: std::fmt::Display,
F::F: std::fmt::Display,
{
if let Some(node) = tree {
format!(
r#"{{"key": {}, "value": {}, "acc": {}, "lazy": {}, "left": {}, "right": {}}}"#,
node.implicit_key(),
node.value,
node.acc,
node.lazy,
json(&node.left),
json(&node.right)
)
} else {
"null".to_owned()
}
}
impl<F: MapMonoid> Display for ImplicitTreap<F>
where
<F::M as Monoid>::S: std::fmt::Display,
F::F: std::fmt::Display,
{
fn fmt(&self, f: &mut Formatter) -> std::fmt::Result {
write!(f, "{}", json(&self.tree))
}
}
pub struct ImplicitTreap<M: MapMonoid> {
tree: Tree<M>,
rng: Random,
}
impl<F: MapMonoid> ImplicitTreap<F> {
pub fn new() -> ImplicitTreap<F> {
ImplicitTreap {
tree: None,
rng: Random::new(),
}
}
pub fn lens(&self) -> isize {
get_len(&self.tree)
}
fn from_tree(&self, tree: Tree<F>) -> Self {
Self {
tree,
rng: Random::new(),
}
}
pub fn split(&mut self, key: isize) -> Self {
let right = split(&mut self.tree, key, false);
self.from_tree(right)
}
pub fn merge(&mut self, right: Self) {
merge(&mut self.tree, right.tree);
}
pub fn insert(&mut self, index: isize, value: <F::M as Monoid>::S) {
let node = Node::new(value, self.rng.next(std::u64::MAX));
let right = self.split(index);
self.merge(self.from_tree(Some(Box::new(node))));
self.merge(right);
}
pub fn query<B>(&mut self, range: B) -> <F::M as Monoid>::S
where
B: RangeBounds<isize>,
{
query(&mut self.tree, range)
}
pub fn get(&mut self, index: isize) -> <F::M as Monoid>::S {
get(&mut self.tree, index)
}
pub fn set(&mut self, index: isize, value: <F::M as Monoid>::S) {
let node = Node::new(value, self.rng.next(std::u64::MAX));
set(&mut self.tree, index, Some(Box::new(node)));
}
pub fn erase<B>(&mut self, range: B)
where
B: RangeBounds<isize>,
{
if range.empty() {
return;
}
let ran = range.to_harfopen(0, self.lens());
let mut tree2 = self.split(ran.start);
let tree3 = tree2.split(ran.end - ran.start);
self.merge(tree3);
}
pub fn remove(&mut self, index: isize) {
self.erase(index..=index);
}
pub fn apply_range<B>(&mut self, range: B, x: F::F)
where
B: RangeBounds<isize>,
{
apply_range(&mut self.tree, range, x);
}
pub fn apply(&mut self, index: isize, x: F::F) {
apply_range(&mut self.tree, index..=index, x);
}
#[doc = " - `F::op(acc, value) != value`である最左/最右要素の位置"]
#[doc = " - MaxMonoidで`left=true`のとき`[range.start, return)`の値は`value`以下"]
pub fn binary_search<B>(
&mut self,
range: B,
value: <F::M as Monoid>::S,
left: bool,
) -> isize
where
B: RangeBounds<isize> + Debug,
{
if range.empty() {
panic!("invalid range: {:?}", &range);
}
let ran = range.to_harfopen(0, self.lens());
let mut tree2 = self.split(ran.start);
let tree3 = tree2.split(ran.end - ran.start);
let ret = find(&tree2.tree, value, ran.start, left);
tree2.merge(tree3);
self.merge(tree2);
ret.unwrap_or(if left { ran.end } else { ran.start - 1 })
}
pub fn reverse<B>(&mut self, range: B)
where
B: RangeBounds<isize>,
{
if range.empty() {
return;
}
let ran = range.to_harfopen(0, self.lens());
let mut tree2 = self.split(ran.start);
let tree3 = tree2.split(ran.end - ran.start);
if let Some(node) = &mut tree2.tree {
node.rev ^= true;
}
tree2.merge(tree3);
self.merge(tree2);
}
pub fn rotate<B>(&mut self, range: B, new_head: isize)
where
B: RangeBounds<isize>,
{
if range.empty() {
return;
}
let ran = range.to_harfopen(0, self.lens());
self.reverse(range);
self.reverse(ran.start..ran.start + ran.end - new_head);
self.reverse(ran.start + ran.end - new_head..ran.end);
}
pub fn iter(&mut self) -> impl Iterator<Item = &<F::M as Monoid>::S> {
pushdown_all(&mut self.tree);
(0..).scan((&self.tree, Vec::new()), |(current, stack), _| {
while let Some(ref node) = current {
*current = &node.left;
stack.push(node.as_ref());
}
stack.pop().map(|node| {
*current = &node.right;
&node.value
})
})
}
}
impl<F: MapMonoid> FromIterator<<F::M as Monoid>::S> for ImplicitTreap<F> {
fn from_iter<V: IntoIterator<Item = <F::M as Monoid>::S>>(iter: V) -> Self {
let mut t = ImplicitTreap::new();
for i in iter {
t.insert(t.lens(), i);
}
t
}
}
}
pub mod monoid {
pub trait Monoid {
type S: Copy + Eq;
fn zero() -> Self::S;
fn op(a: Self::S, b: Self::S) -> Self::S;
}
pub trait MapMonoid {
type M: Monoid;
type F: Copy + Eq;
fn zero() -> <Self::M as Monoid>::S {
Self::M::zero()
}
fn op(a: <Self::M as Monoid>::S, b: <Self::M as Monoid>::S) -> <Self::M as Monoid>::S {
Self::M::op(a, b)
}
fn id() -> Self::F;
fn map(f: Self::F, x: <Self::M as Monoid>::S) -> <Self::M as Monoid>::S;
fn composite(provider: Self::F, target: Self::F) -> Self::F;
fn p(f: Self::F, x: isize) -> Self::F;
}
pub struct Max;
impl Monoid for Max {
type S = i64;
fn zero() -> Self::S {
0
}
fn op(a: Self::S, b: Self::S) -> Self::S {
a.max(b)
}
}
pub struct Min;
impl Monoid for Min {
type S = i64;
fn zero() -> Self::S {
1i64 << 60
}
fn op(a: Self::S, b: Self::S) -> Self::S {
a.min(b)
}
}
pub struct Sum;
impl Monoid for Sum {
type S = i64;
fn zero() -> Self::S {
0
}
fn op(a: Self::S, b: Self::S) -> Self::S {
a + b
}
}
pub struct MaxIndex;
impl Monoid for MaxIndex {
type S = (i64, isize);
fn zero() -> Self::S {
(0, 0)
}
fn op(a: Self::S, b: Self::S) -> Self::S {
a.max(b)
}
}
pub struct MaxAdd;
impl MapMonoid for MaxAdd {
type M = Max;
type F = i64;
fn id() -> Self::F {
0
}
fn map(f: Self::F, x: i64) -> i64 {
f + x
}
fn composite(f: Self::F, g: Self::F) -> Self::F {
f + g
}
fn p(f: Self::F, _x: isize) -> Self::F {
f
}
}
pub struct MaxUpdate;
impl MapMonoid for MaxUpdate {
type M = Max;
type F = i64;
fn id() -> Self::F {
i64::max_value()
}
fn map(f: Self::F, x: i64) -> i64 {
if f != Self::id() {
f
} else {
x
}
}
fn composite(new_value: Self::F, target: Self::F) -> Self::F {
if new_value != Self::id() {
new_value
} else {
target
}
}
fn p(f: Self::F, _x: isize) -> Self::F {
f
}
}
pub struct MinAdd;
impl MapMonoid for MinAdd {
type M = Min;
type F = i64;
fn id() -> Self::F {
0
}
fn map(f: Self::F, x: i64) -> i64 {
f + x
}
fn composite(f: Self::F, g: Self::F) -> Self::F {
f + g
}
fn p(f: Self::F, _x: isize) -> Self::F {
f
}
}
pub struct MinUpdate;
impl MapMonoid for MinUpdate {
type M = Min;
type F = i64;
fn id() -> Self::F {
i64::max_value()
}
fn map(f: Self::F, x: i64) -> i64 {
if f != Self::id() {
f
} else {
x
}
}
fn composite(new_value: Self::F, target: Self::F) -> Self::F {
if new_value != Self::id() {
new_value
} else {
target
}
}
fn p(f: Self::F, _x: isize) -> Self::F {
f
}
}
}
}
pub mod independent {
pub mod random {
#[derive(Debug, Clone)]
pub struct Random {
x: std::num::Wrapping<u64>,
}
impl Random {
pub fn new() -> Random {
Random {
x: std::num::Wrapping(88172645463325252),
}
}
pub fn next(&mut self, n: u64) -> u64 {
self.x = self.x ^ (self.x << 7);
self.x = self.x ^ (self.x >> 9);
self.x.0 % n
}
pub fn shuffle<T>(&mut self, arr: &mut [T]) {
let n = arr.len();
for i in (0..n - 1).map(|i| n - i) {
let j = self.next(i as u64) as usize;
arr.swap(i, j);
}
}
}
}
pub mod integer {
use std::fmt::Display;
pub trait Int:
std::ops::Add<Output = Self>
+ std::ops::Sub<Output = Self>
+ std::ops::Mul<Output = Self>
+ std::ops::Div<Output = Self>
+ std::ops::Rem<Output = Self>
+ std::ops::AddAssign
+ std::ops::SubAssign
+ std::ops::MulAssign
+ std::ops::DivAssign
+ std::hash::Hash
+ PartialEq
+ Eq
+ PartialOrd
+ Ord
+ Copy
+ Display
{
fn to_u8(&self) -> u8;
fn to_u16(&self) -> u16;
fn to_u32(&self) -> u32;
fn to_u64(&self) -> u64;
fn to_u128(&self) -> u128;
fn to_i8(&self) -> i8;
fn to_i16(&self) -> i16;
fn to_i32(&self) -> i32;
fn to_i64(&self) -> i64;
fn to_i128(&self) -> i128;
fn to_usize(&self) -> usize;
fn to_isize(&self) -> isize;
fn from_u8(x: u8) -> Self;
fn from_u16(x: u16) -> Self;
fn from_u32(x: u32) -> Self;
fn from_u64(x: u64) -> Self;
fn from_u128(x: u128) -> Self;
fn from_i8(x: i8) -> Self;
fn from_i16(x: i16) -> Self;
fn from_i32(x: i32) -> Self;
fn from_i64(x: i64) -> Self;
fn from_i128(x: i128) -> Self;
fn from_usize(x: usize) -> Self;
fn from_isize(x: isize) -> Self;
fn zero() -> Self;
fn one() -> Self;
fn next(&self) -> Self {
*self + Self::one()
}
}
macro_rules ! impl_integer_functions { ($ selftpe : ident , $ ($ tofn : ident , $ fromfn : ident , $ tpe : ident) ,*) => { $ (fn $ tofn (& self) -> $ tpe { * self as $ tpe } fn $ fromfn (x : $ tpe) -> Self { x as $ selftpe }) * } ; }
macro_rules ! impl_integer { ($ ($ tpe : ident) ,*) => { $ (impl Int for $ tpe { impl_integer_functions ! ($ tpe , to_u8 , from_u8 , u8 , to_u16 , from_u16 , u16 , to_u32 , from_u32 , u32 , to_u64 , from_u64 , u64 , to_u128 , from_u128 , u128 , to_i8 , from_i8 , i8 , to_i16 , from_i16 , i16 , to_i32 , from_i32 , i32 , to_i64 , from_i64 , i64 , to_i128 , from_i128 , i128 , to_usize , from_usize , usize , to_isize , from_isize , isize) ; fn zero () -> Self { 0 } fn one () -> Self { 1 } }) * } ; }
impl_integer!(u8, u16, u32, u64, u128, i8, i16, i32, i64, i128, usize, isize);
}
}
pub mod ext {
pub mod range {
use crate::independent::integer::Int;
use std::cmp::{max, min};
use std::ops::{Bound, Range, RangeBounds};
pub trait IntRangeBounds<U: Int>: RangeBounds<U> {
#[doc = " inclusive"]
fn lbopt(&self) -> Option<U> {
match self.start_bound() {
Bound::Included(x) => Some(*x),
Bound::Excluded(x) => Some(*x + U::one()),
Bound::Unbounded => None,
}
}
#[doc = " exclusive"]
fn ubopt(&self) -> Option<U> {
match self.end_bound() {
Bound::Included(x) => Some(*x + U::one()),
Bound::Excluded(x) => Some(*x),
Bound::Unbounded => None,
}
}
#[doc = " inclusive"]
fn lower_bound(&self, limit: U) -> U {
self.lbopt().map_or(limit, |x| max(limit, x))
}
#[doc = " exclusive"]
fn upper_bound(&self, limit: U) -> U {
self.ubopt().map_or(limit, |x| min(limit, x))
}
fn to_harfopen(&self, lb: U, ub: U) -> Range<U> {
self.lower_bound(lb)..self.upper_bound(ub)
}
fn domain_of(&self, mut t: U) -> U {
if let Some(x) = self.lbopt() {
if t < x {
t = x;
}
}
if let Some(x) = self.ubopt() {
if x <= t {
t = x - U::one();
}
}
t
}
fn width(&self) -> U {
if self.empty() {
U::zero()
} else {
self.ubopt().unwrap() - self.lbopt().unwrap()
}
}
fn empty(&self) -> bool {
match (self.lbopt(), self.ubopt()) {
(Some(lb), Some(ub)) => lb >= ub,
(None, _ub) => false,
(_lb, None) => false,
}
}
fn contain_range(&self, inner: &Self) -> bool {
(match (self.lbopt(), inner.lbopt()) {
(Some(a), Some(b)) => a <= b,
(None, _) => true,
(Some(_), None) => false,
}) && (match (inner.ubopt(), self.ubopt()) {
(Some(a), Some(b)) => a <= b,
(_, None) => true,
(None, Some(_)) => false,
})
}
fn separate_range(&self, other: &Self) -> bool {
if let (Some(a), Some(b)) = (self.ubopt(), other.lbopt()) {
if a <= b {
return true;
}
}
if let (Some(a), Some(b)) = (other.ubopt(), self.lbopt()) {
if a <= b {
return true;
}
}
false
}
fn overlap(&self, other: &Self) -> Range<U> {
let left = if let (Some(a), Some(b)) = (self.lbopt(), other.lbopt()) {
max(a, b)
} else {
self.lbopt().or(other.lbopt()).unwrap()
};
let right = if let (Some(a), Some(b)) = (self.ubopt(), other.ubopt()) {
min(a, b)
} else {
self.ubopt().or(other.ubopt()).unwrap()
};
left..right
}
}
impl<T: ?Sized, U: Int> IntRangeBounds<U> for T where T: RangeBounds<U> {}
}
}
pub mod scanner {
use crate::arraylist::List;
use std::io::{stdin, BufReader, Bytes, Read, Stdin};
use std::str::FromStr;
pub struct Scanner {
buf: Bytes<BufReader<Stdin>>,
}
impl Scanner {
pub fn new() -> Scanner {
Scanner {
buf: BufReader::new(stdin()).bytes(),
}
}
fn token<T: std::iter::FromIterator<char>>(&mut self) -> T {
self.buf
.by_ref()
.map(|c| c.unwrap() as char)
.skip_while(|c| c.is_whitespace())
.take_while(|c| !c.is_whitespace())
.collect()
}
pub fn read<T: FromStr>(&mut self) -> T {
self.string().parse().ok().unwrap()
}
pub fn readn<T: FromStr>(&mut self, n: isize) -> List<T> {
(0..n).map(|_| self.read::<T>()).collect()
}
pub fn chars(&mut self) -> List<char> {
self.token()
}
pub fn string(&mut self) -> String {
self.token()
}
pub fn char(&mut self) -> char {
self.read()
}
pub fn int(&mut self) -> isize {
self.read()
}
pub fn long(&mut self) -> i64 {
self.read()
}
pub fn double(&mut self) -> f64 {
self.read()
}
}
}
pub mod arraylist {
use crate::{ext::range::IntRangeBounds, independent::integer::Int};
use std::fmt::Formatter;
use std::iter::FromIterator;
use std::ops::{Deref, DerefMut, Index, IndexMut, RangeBounds};
use std::slice::Iter;
#[derive(Clone, PartialEq, Eq)]
pub struct List<T> {
pub vec: Vec<T>,
}
impl<T> List<T> {
#[inline]
pub fn new() -> List<T> {
List { vec: vec![] }
}
#[inline]
pub fn init(init: T, n: isize) -> List<T>
where
T: Clone,
{
List {
vec: vec![init; n as usize],
}
}
#[inline]
pub fn from_vec(vec: Vec<T>) -> List<T> {
List { vec }
}
#[inline]
pub fn gen<'a, S>(n: isize, mut f: S) -> List<T>
where
S: FnMut(isize) -> T + 'a,
{
(0..n).map(|i| f(i)).collect()
}
#[inline]
pub fn lens(&self) -> isize {
self.vec.len() as isize
}
#[inline]
pub fn iter(&self) -> Iter<'_, T> {
self.vec.iter()
}
#[inline]
pub fn push(&mut self, item: T) {
self.vec.push(item);
}
#[inline]
pub fn sort(&mut self)
where
T: Ord,
{
self.vec.sort();
}
#[inline]
pub fn reverse(&mut self) {
self.vec.reverse();
}
#[inline]
pub fn sort_by<F>(&mut self, compare: F)
where
F: FnMut(&T, &T) -> std::cmp::Ordering,
{
self.vec.sort_by(compare)
}
#[inline]
pub fn sort_by_key<K, F>(&mut self, compare: F)
where
F: FnMut(&T) -> K,
K: Ord,
{
self.vec.sort_by_key(compare)
}
#[inline]
pub fn first(&self) -> Option<&T> {
self.vec.first()
}
#[inline]
pub fn last(&self) -> Option<&T> {
self.vec.last()
}
#[inline]
pub fn first_mut(&mut self) -> Option<&mut T> {
self.vec.first_mut()
}
#[inline]
pub fn last_mut(&mut self) -> Option<&mut T> {
self.vec.last_mut()
}
#[inline]
pub fn pop(&mut self) -> Option<T> {
self.vec.pop()
}
#[inline]
pub fn swap(&mut self, i: isize, j: isize) {
self.vec.swap(i as usize, j as usize);
}
#[inline]
pub fn concat(&self, other: &Self) -> Self
where
T: Clone,
{
let mut c = self.clone();
c.vec.append(&mut other.clone().vec);
c
}
#[inline]
pub fn append(&mut self, other: &Self)
where
T: Clone,
{
self.vec.append(&mut other.clone().vec);
}
#[inline]
pub fn mrr(&self) -> std::iter::Cloned<Iter<T>>
where
T: Clone,
{
self.iter().cloned()
}
#[inline]
pub fn join(&self, sep: &str) -> String
where
T: std::fmt::Display,
{
self.iter()
.map(|x| format!("{}", x))
.collect::<Vec<_>>()
.join(sep)
}
#[inline]
pub fn map<B, F>(&self, f: F) -> List<B>
where
T: Clone,
F: FnMut(T) -> B,
{
self.mrr().map(f).collect()
}
#[inline]
pub fn filter<P>(&self, predicate: P) -> List<T>
where
T: Clone,
P: FnMut(&T) -> bool,
{
self.mrr().filter(predicate).collect()
}
#[inline]
pub fn filter_map<B, F>(&self, f: F) -> List<B>
where
T: Clone,
F: FnMut(T) -> Option<B>,
{
self.mrr().filter_map(f).collect()
}
#[doc = " |acc, x| -> acc"]
#[inline]
pub fn fold<B, F>(&self, init: B, f: F) -> B
where
T: Clone,
F: FnMut(B, T) -> B,
{
self.mrr().fold(init, f)
}
#[inline]
pub fn any<P>(&self, predicate: P) -> bool
where
P: FnMut(&T) -> bool,
{
self.iter().any(predicate)
}
#[inline]
pub fn all<P>(&self, predicate: P) -> bool
where
P: FnMut(&T) -> bool,
{
self.iter().all(predicate)
}
#[inline]
pub fn count<P>(&self, predicate: P) -> isize
where
P: FnMut(&&T) -> bool,
{
self.iter().filter(predicate).count() as isize
}
#[inline]
pub fn sum(&self) -> T
where
T: Int,
{
self.iter().cloned().fold(T::zero(), |acc, x| acc + x)
}
#[inline]
pub fn enumerate(&self) -> List<(isize, T)>
where
T: Clone,
{
self.mrr()
.enumerate()
.map(|p| (p.0 as isize, p.1))
.collect()
}
#[inline]
pub fn find<P>(&self, mut predicate: P) -> Option<&T>
where
P: FnMut(&T) -> bool,
{
self.iter().find(|x| predicate(*x))
}
#[inline]
pub fn index_of<P>(&self, mut predicate: P) -> Option<isize>
where
P: FnMut(&T) -> bool,
{
self.iter()
.enumerate()
.find(|&(_i, x)| predicate(x))
.map(|p| p.0 as isize)
}
#[inline]
pub fn to<B: FromIterator<T>>(&self) -> B
where
T: Clone,
{
self.mrr().collect()
}
#[inline]
pub fn min(&self) -> Option<&T>
where
T: Ord,
{
self.iter().min()
}
#[inline]
pub fn max(&self) -> Option<&T>
where
T: Ord,
{
self.iter().max()
}
#[inline]
pub fn argmin(&self) -> Option<isize>
where
T: Ord,
{
let item = self.iter().min()?;
self.iter()
.enumerate()
.find(|p| p.1 == item)
.map(|p| p.0 as isize)
}
#[inline]
pub fn argmax(&self) -> Option<isize>
where
T: Ord,
{
let item = self.iter().max()?;
self.iter()
.enumerate()
.find(|p| p.1 == item)
.map(|p| p.0 as isize)
}
#[inline]
pub fn part<U>(&self, range: U) -> List<T>
where
T: Clone,
U: RangeBounds<isize>,
{
List::from_vec(
self.vec[range.lower_bound(0) as usize..range.upper_bound(self.lens()) as usize]
.to_vec(),
)
}
#[inline]
pub fn first_exn(&self) -> &T {
self.first().unwrap()
}
#[inline]
pub fn last_exn(&self) -> &T {
self.last().unwrap()
}
#[inline]
pub fn first_mut_exn(&mut self) -> &mut T {
self.first_mut().unwrap()
}
#[inline]
pub fn last_mut_exn(&mut self) -> &mut T {
self.last_mut().unwrap()
}
#[inline]
pub fn pop_exn(&mut self) -> T {
self.pop().unwrap()
}
#[inline]
pub fn min_exn(&self) -> &T
where
T: Ord,
{
self.min().unwrap()
}
#[inline]
pub fn max_exn(&self) -> &T
where
T: Ord,
{
self.max().unwrap()
}
#[inline]
pub fn argmin_exn(&self) -> isize
where
T: Ord,
{
self.argmin().unwrap()
}
#[inline]
pub fn argmax_exn(&self) -> isize
where
T: Ord,
{
self.argmax().unwrap()
}
#[inline]
pub fn find_exn<P>(&self, predicate: P) -> &T
where
P: FnMut(&T) -> bool,
{
self.find(predicate).unwrap()
}
#[inline]
pub fn index_of_exn<P>(&self, predicate: P) -> isize
where
P: FnMut(&T) -> bool,
{
self.index_of(predicate).unwrap()
}
}
impl<T> Index<isize> for List<T> {
type Output = T;
#[inline]
fn index(&self, index: isize) -> &Self::Output {
if cfg!(debug_assertions) {
self.vec.index(index as usize)
} else {
unsafe { self.vec.get_unchecked(index as usize) }
}
}
}
impl<T> IndexMut<isize> for List<T> {
#[inline]
fn index_mut(&mut self, index: isize) -> &mut Self::Output {
if cfg!(debug_assertions) {
self.vec.index_mut(index as usize)
} else {
unsafe { self.vec.get_unchecked_mut(index as usize) }
}
}
}
impl<T> Index<char> for List<T> {
type Output = T;
#[inline]
fn index(&self, index: char) -> &Self::Output {
if cfg!(debug_assertions) {
self.vec.index(index as usize - 'a' as usize)
} else {
unsafe { self.vec.get_unchecked(index as usize - 'a' as usize) }
}
}
}
impl<T> IndexMut<char> for List<T> {
#[inline]
fn index_mut(&mut self, index: char) -> &mut Self::Output {
if cfg!(debug_assertions) {
self.vec.index_mut(index as usize - 'a' as usize)
} else {
unsafe { self.vec.get_unchecked_mut(index as usize - 'a' as usize) }
}
}
}
impl<T> FromIterator<T> for List<T> {
fn from_iter<U: IntoIterator<Item = T>>(iter: U) -> Self {
List {
vec: iter.into_iter().collect(),
}
}
}
impl<T> IntoIterator for List<T> {
type Item = T;
type IntoIter = std::vec::IntoIter<T>;
fn into_iter(self) -> std::vec::IntoIter<T> {
self.vec.into_iter()
}
}
impl<'a, T> IntoIterator for &'a List<T> {
type Item = &'a T;
type IntoIter = Iter<'a, T>;
fn into_iter(self) -> Iter<'a, T> {
self.vec.iter()
}
}
impl<T: std::fmt::Display> std::fmt::Display for List<T> {
fn fmt(&self, f: &mut std::fmt::Formatter) -> std::fmt::Result {
write!(
f,
"{}",
self.iter()
.map(|x| format!("{}", x))
.collect::<Vec<_>>()
.join(" ")
)
}
}
impl<T: std::fmt::Debug> std::fmt::Debug for List<T> {
fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
write!(
f,
"[{}]",
self.iter()
.map(|x| format!("{:?}", x))
.collect::<Vec<_>>()
.join(", ")
)
}
}
impl<T> From<Vec<T>> for List<T> {
fn from(vec: Vec<T>) -> Self {
Self::from_vec(vec)
}
}
impl<T: Clone> From<&[T]> for List<T> {
fn from(slice: &[T]) -> Self {
slice.iter().cloned().collect()
}
}
impl<T> Deref for List<T> {
type Target = [T];
fn deref(&self) -> &[T] {
&self.vec
}
}
impl<T> DerefMut for List<T> {
fn deref_mut(&mut self) -> &mut [T] {
&mut self.vec
}
}
#[macro_export]
macro_rules ! list { () => { $ crate :: arraylist :: List :: new () } ; ($ ($ v : expr) ,+ $ (,) ?) => { $ crate :: arraylist :: List :: from_vec ([$ ($ v) ,+] . to_vec ()) } ; ($ v : expr ; $ a : expr) => { $ crate :: arraylist :: List :: init ($ v , $ a) } ; ($ v : expr ; $ a : expr ; $ ($ rest : expr) ;+) => { $ crate :: arraylist :: List :: init (list ! ($ v ; $ ($ rest) ;+) , $ a) } ; }
}