結果
問題 | No.205 マージして辞書順最小 |
ユーザー | nebocco |
提出日時 | 2021-03-11 19:32:01 |
言語 | Rust (1.77.0 + proconio) |
結果 |
AC
|
実行時間 | 1 ms / 5,000 ms |
コード長 | 10,043 bytes |
コンパイル時間 | 11,616 ms |
コンパイル使用メモリ | 403,356 KB |
実行使用メモリ | 6,948 KB |
最終ジャッジ日時 | 2024-09-26 06:16:06 |
合計ジャッジ時間 | 12,642 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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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 | 0 ms
6,812 KB |
testcase_01 | AC | 1 ms
6,940 KB |
testcase_02 | AC | 1 ms
6,940 KB |
testcase_03 | AC | 1 ms
6,948 KB |
testcase_04 | AC | 1 ms
6,940 KB |
testcase_05 | AC | 1 ms
6,944 KB |
testcase_06 | AC | 1 ms
6,940 KB |
testcase_07 | AC | 1 ms
6,944 KB |
testcase_08 | AC | 1 ms
6,944 KB |
testcase_09 | AC | 1 ms
6,940 KB |
testcase_10 | AC | 1 ms
6,944 KB |
testcase_11 | AC | 1 ms
6,940 KB |
testcase_12 | AC | 1 ms
6,940 KB |
testcase_13 | AC | 1 ms
6,944 KB |
testcase_14 | AC | 1 ms
6,944 KB |
testcase_15 | AC | 1 ms
6,940 KB |
testcase_16 | AC | 1 ms
6,940 KB |
testcase_17 | AC | 1 ms
6,940 KB |
testcase_18 | AC | 0 ms
6,944 KB |
ソースコード
fn main() { let mut io = IO::new(); input!{ from io, n: usize, mut s: [String; n] } let mut ans = String::new(); for i in 0..n { s[i].push('~'); } let mut h = DoublePriorityHeap::from(&s); while let Some(mut v) = h.pop_min() { let c = v.remove(0); if c != '~' { ans.push(c); h.push(v); } } io.println(ans); } // ------------ DoublePriorityHeap start ------------ #[derive(Default)] pub struct DoublePriorityHeap<T: Element + Ord>(Vec<T>); impl<T: Element + Ord> DoublePriorityHeap<T> { pub fn new() -> Self { Self(Vec::new()) } pub fn from(vec: &[T]) -> Self { let mut l = Self(vec.to_vec()); l.build(); l } pub fn push(&mut self, x: T) { self.0.push(x); self.up(self.0.len() - 1, 1); } pub fn pop_min(&mut self) -> Option<T> { if self.0.len() < 3 { self.0.pop() } else { let ret = self.0.swap_remove(1); let k = self.down(1); self.up(k, 1); Some(ret) } } pub fn pop_max(&mut self) -> Option<T> { if self.0.len() < 2 { self.0.pop() } else { let ret = self.0.swap_remove(0); let k = self.down(0); self.up(k, 1); Some(ret) } } pub fn get_min(&self) -> Option<&T> { if self.0.len() < 2 { self.0.get(0) } else { self.0.get(1) } } pub fn get_max(&self) -> Option<&T> { self.0.get(0) } fn build(&mut self) { let n = self.0.len(); for i in (0..n).rev() { if i & 1 == 1 && self.0[i-1] < self.0[i] { self.0.swap(i-1, i); } let k = self.down(i); self.up(k, i); } } #[inline] fn parent(k: usize) -> usize { (k >> 1).wrapping_sub(1) & !1 } fn down(&mut self, mut k: usize) -> usize { let n = self.0.len(); let mut c: usize; if k & 1 == 1 { // min heap while 2 * k + 1 < n { c = 2 * k + 3; if n <= c || self.0[c-2] < self.0[c] { c -= 2; } if c < n && self.0[c] < self.0[k] { self.0.swap(k, c); k = c; } else { break } } } else { // max heap while 2 * k + 2 < n { c = 2 * k + 4; if n <= c || self.0[c] < self.0[c-2] { c -= 2; } if c < n && self.0[k] < self.0[c] { self.0.swap(k, c); k = c; } else { break } } } k } fn up(&mut self, mut k: usize, root: usize) { if (k | 1) < self.0.len() && self.0[k & !1] < self.0[k | 1] { self.0.swap(k & !1, k | 1); k ^= 1; } let mut p = Self::parent(k); // max heap while root < k && self.0[p] < self.0[k] { self.0.swap(k, p); k = p; p = Self::parent(k) } // min heap p |= 1; while root < k && self.0[k] < self.0[p] { self.0.swap(k, p); k = p; p = Self::parent(k) | 1; } } } // ------------ DoublePriorityHeap end ------------ // ------------ algebraic traits start ------------ use std::marker::Sized; use std::ops::*; /// 元 pub trait Element: Sized + Clone + PartialEq {} impl<T: Sized + Clone + PartialEq> Element for T {} /// 結合性 pub trait Associative: Magma {} /// マグマ pub trait Magma: Element + Add<Output=Self> {} impl<T: Element + Add<Output=Self>> Magma for T {} /// 半群 pub trait SemiGroup: Magma + Associative {} impl<T: Magma + Associative> SemiGroup for T {} /// モノイド pub trait Monoid: SemiGroup + Zero {} impl<T: SemiGroup + Zero> Monoid for T {} pub trait ComMonoid: Monoid + AddAssign {} impl<T: Monoid + AddAssign> ComMonoid for T {} /// 群 pub trait Group: Monoid + Neg<Output=Self> {} impl<T: Monoid + Neg<Output=Self>> Group for T {} pub trait ComGroup: Group + ComMonoid {} impl<T: Group + ComMonoid> ComGroup for T {} /// 半環 pub trait SemiRing: ComMonoid + Mul<Output=Self> + One {} impl<T: ComMonoid + Mul<Output=Self> + One> SemiRing for T {} /// 環 pub trait Ring: ComGroup + SemiRing {} impl<T: ComGroup + SemiRing> Ring for T {} pub trait ComRing: Ring + MulAssign {} impl<T: Ring + MulAssign> ComRing for T {} /// 体 pub trait Field: ComRing + Div<Output=Self> + DivAssign {} impl<T: ComRing + Div<Output=Self> + DivAssign> Field for T {} /// 加法単元 pub trait Zero: Element { fn zero() -> Self; fn is_zero(&self) -> bool { *self == Self::zero() } } /// 乗法単元 pub trait One: Element { fn one() -> Self; fn is_one(&self) -> bool { *self == Self::one() } } macro_rules! impl_integer { ($($T:ty,)*) => { $( impl Associative for $T {} impl Zero for $T { fn zero() -> Self { 0 } fn is_zero(&self) -> bool { *self == 0 } } impl<'a> Zero for &'a $T { fn zero() -> Self { &0 } fn is_zero(&self) -> bool { *self == &0 } } impl One for $T { fn one() -> Self { 1 } fn is_one(&self) -> bool { *self == 1 } } impl<'a> One for &'a $T { fn one() -> Self { &1 } fn is_one(&self) -> bool { *self == &1 } } )* }; } impl_integer! { i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, usize, } // ------------ algebraic traits end ------------ // ------------ io module start ------------ use std::io::{stdout, BufWriter, Read, StdoutLock, Write}; pub struct IO { iter: std::str::SplitAsciiWhitespace<'static>, buf: BufWriter<StdoutLock<'static>>, } impl IO { pub fn new() -> Self { let mut input = String::new(); std::io::stdin().read_to_string(&mut input).unwrap(); let input = Box::leak(input.into_boxed_str()); let out = Box::new(stdout()); IO { iter: input.split_ascii_whitespace(), buf: BufWriter::new(Box::leak(out).lock()), } } fn scan_str(&mut self) -> &'static str { self.iter.next().unwrap() } pub fn scan<T: Scan>(&mut self) -> <T as Scan>::Output { <T as Scan>::scan(self) } pub fn scan_vec<T: Scan>(&mut self, n: usize) -> Vec<<T as Scan>::Output> { (0..n).map(|_| self.scan::<T>()).collect() } pub fn print<T: Print>(&mut self, x: T) { <T as Print>::print(self, x); } pub fn println<T: Print>(&mut self, x: T) { self.print(x); self.print("\n"); } pub fn iterln<T: Print, I: Iterator<Item = T>>(&mut self, mut iter: I, delim: &str) { if let Some(v) = iter.next() { self.print(v); for v in iter { self.print(delim); self.print(v); } } self.print("\n"); } pub fn flush(&mut self) { self.buf.flush().unwrap(); } } impl Default for IO { fn default() -> Self { Self::new() } } pub trait Scan { type Output; fn scan(io: &mut IO) -> Self::Output; } macro_rules! impl_scan { ($($t:tt),*) => { $( impl Scan for $t { type Output = Self; fn scan(s: &mut IO) -> Self::Output { s.scan_str().parse().unwrap() } } )* }; } impl_scan!(i16, i32, i64, isize, u16, u32, u64, usize, String, f32, f64); impl Scan for char { type Output = char; fn scan(s: &mut IO) -> Self::Output { s.scan_str().chars().next().unwrap() } } pub enum Bytes {} impl Scan for Bytes { type Output = &'static [u8]; fn scan(s: &mut IO) -> Self::Output { s.scan_str().as_bytes() } } pub enum Chars {} impl Scan for Chars { type Output = Vec<char>; fn scan(s: &mut IO) -> Self::Output { s.scan_str().chars().collect() } } pub enum Usize1 {} impl Scan for Usize1 { type Output = usize; fn scan(s: &mut IO) -> Self::Output { s.scan::<usize>().wrapping_sub(1) } } impl<T: Scan, U: Scan> Scan for (T, U) { type Output = (T::Output, U::Output); fn scan(s: &mut IO) -> Self::Output { (T::scan(s), U::scan(s)) } } impl<T: Scan, U: Scan, V: Scan> Scan for (T, U, V) { type Output = (T::Output, U::Output, V::Output); fn scan(s: &mut IO) -> Self::Output { (T::scan(s), U::scan(s), V::scan(s)) } } impl<T: Scan, U: Scan, V: Scan, W: Scan> Scan for (T, U, V, W) { type Output = (T::Output, U::Output, V::Output, W::Output); fn scan(s: &mut IO) -> Self::Output { (T::scan(s), U::scan(s), V::scan(s), W::scan(s)) } } pub trait Print { fn print(w: &mut IO, x: Self); } macro_rules! impl_print_int { ($($t:ty),*) => { $( impl Print for $t { fn print(w: &mut IO, x: Self) { w.buf.write_all(x.to_string().as_bytes()).unwrap(); } } )* }; } impl_print_int!(i16, i32, i64, isize, u16, u32, u64, usize, f32, f64); impl Print for u8 { fn print(w: &mut IO, x: Self) { w.buf.write_all(&[x]).unwrap(); } } impl Print for &[u8] { fn print(w: &mut IO, x: Self) { w.buf.write_all(x).unwrap(); } } impl Print for &str { fn print(w: &mut IO, x: Self) { w.print(x.as_bytes()); } } impl Print for String { fn print(w: &mut IO, x: Self) { w.print(x.as_bytes()); } } impl<T: Print, U: Print> Print for (T, U) { fn print(w: &mut IO, (x, y): Self) { w.print(x); w.print(" "); w.print(y); } } impl<T: Print, U: Print, V: Print> Print for (T, U, V) { fn print(w: &mut IO, (x, y, z): Self) { w.print(x); w.print(" "); w.print(y); w.print(" "); w.print(z); } } mod neboccoio_macro { #[macro_export] macro_rules! input { (@start $io:tt @read @rest) => {}; (@start $io:tt @read @rest, $($rest: tt)*) => { input!(@start $io @read @rest $($rest)*) }; (@start $io:tt @read @rest mut $($rest:tt)*) => { input!(@start $io @read @mut [mut] @rest $($rest)*) }; (@start $io:tt @read @rest $($rest:tt)*) => { input!(@start $io @read @mut [] @rest $($rest)*) }; (@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [[$kind:tt; $len1:expr]; $len2:expr] $($rest:tt)*) => { let $($mut)* $var = (0..$len2).map(|_| $io.scan_vec::<$kind>($len1)).collect::<Vec<Vec<$kind>>>(); input!(@start $io @read @rest $($rest)*) }; (@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [$kind:tt; $len:expr] $($rest:tt)*) => { let $($mut)* $var = $io.scan_vec::<$kind>($len); input!(@start $io @read @rest $($rest)*) }; (@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: $kind:tt $($rest:tt)*) => { let $($mut)* $var = $io.scan::<$kind>(); input!(@start $io @read @rest $($rest)*) }; (from $io:tt $($rest:tt)*) => { input!(@start $io @read @rest $($rest)*) }; } } // ------------ io module end ------------