結果
問題 | No.5007 Steiner Space Travel |
ユーザー | ntk-ta01 |
提出日時 | 2022-07-30 16:21:09 |
言語 | Rust (1.77.0 + proconio) |
結果 |
AC
|
実行時間 | 962 ms / 1,000 ms |
コード長 | 24,300 bytes |
コンパイル時間 | 1,267 ms |
実行使用メモリ | 5,160 KB |
スコア | 8,656,099 |
最終ジャッジ日時 | 2022-07-30 16:21:43 |
合計ジャッジ時間 | 32,700 ms |
ジャッジサーバーID (参考情報) |
judge12 / judge13 |
純コード判定しない問題か言語 |
(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 | 962 ms
4,900 KB |
testcase_01 | AC | 961 ms
4,900 KB |
testcase_02 | AC | 961 ms
4,904 KB |
testcase_03 | AC | 960 ms
4,904 KB |
testcase_04 | AC | 962 ms
4,904 KB |
testcase_05 | AC | 960 ms
5,160 KB |
testcase_06 | AC | 961 ms
4,904 KB |
testcase_07 | AC | 962 ms
4,904 KB |
testcase_08 | AC | 962 ms
4,900 KB |
testcase_09 | AC | 961 ms
5,156 KB |
testcase_10 | AC | 962 ms
4,900 KB |
testcase_11 | AC | 961 ms
4,904 KB |
testcase_12 | AC | 961 ms
4,908 KB |
testcase_13 | AC | 961 ms
4,904 KB |
testcase_14 | AC | 962 ms
4,900 KB |
testcase_15 | AC | 960 ms
4,904 KB |
testcase_16 | AC | 961 ms
5,160 KB |
testcase_17 | AC | 961 ms
4,904 KB |
testcase_18 | AC | 962 ms
4,904 KB |
testcase_19 | AC | 961 ms
5,156 KB |
testcase_20 | AC | 961 ms
5,156 KB |
testcase_21 | AC | 962 ms
4,900 KB |
testcase_22 | AC | 962 ms
5,160 KB |
testcase_23 | AC | 961 ms
4,904 KB |
testcase_24 | AC | 961 ms
4,900 KB |
testcase_25 | AC | 961 ms
5,156 KB |
testcase_26 | AC | 961 ms
4,900 KB |
testcase_27 | AC | 961 ms
4,900 KB |
testcase_28 | AC | 961 ms
4,900 KB |
testcase_29 | AC | 962 ms
5,160 KB |
ソースコード
// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::<Vec<char>>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } use ntk_rand::Xorshift; const TIMELIMIT: f64 = 0.32; fn main() { let input = Input::parse_input(); let mut best_solution = Solution::new(&input); for seed in 1..4 { let mut timer = Timer::new(); let mut rng = Xorshift::seed_from_u64(seed * 8607113); let mut solution = Solution::new(&input); if seed & 1 == 0 { solution.visits.reverse(); } annealing(&input, &mut solution, &mut timer, &mut rng); if best_solution.score < solution.score { best_solution = solution } } println!("{}", best_solution); eprintln!("{}", best_solution.score); } fn annealing(input: &Input, solution: &mut Solution, timer: &mut Timer, rng: &mut Xorshift<usize>) { const T0: f64 = 100.0; const T1: f64 = 0.00001; let mut temp = T0; let mut prob; solution.compute_score(input); let mut best_solution = solution.clone(); let mut count = 0; loop { if count >= 100 { let passed = timer.get_time() / TIMELIMIT; if passed >= 1.0 { break; } temp = T0.powf(1.0 - passed) * T1.powf(passed); count = 0; } count += 1; let mut new_solution = solution.clone(); // 近傍解作成 let neigh_count = 6; match rng.gen_range(0..neigh_count) { 0 => { // 訪問順を変える swap let v1 = rng.gen_range(1..new_solution.visits.len() - 1); let v2 = rng.gen_range(1..new_solution.visits.len() - 1); new_solution.visits.swap(v1, v2); } 1 => { // 2-opt let mut i = rng.gen_range(1..new_solution.visits.len() - 1); let mut j = rng.gen_range(1..new_solution.visits.len() - 1); if i == j { continue; } if i > j { std::mem::swap(&mut i, &mut j); } new_solution.visits[i..=j].reverse(); } 2 => { // 惑星の経由地を追加する let planet = rng.gen_range(0..input.n); let i = rng.gen_range(1..new_solution.visits.len()); new_solution.visits.insert(i, (1, planet)); new_solution.visit_time[planet] += 1; } 3 => { // 経由地を削除する 惑星 or ステーション let i = rng.gen_range(1..new_solution.visits.len() - 1); let astronomy = new_solution.visits[i]; if astronomy.0 == 1 && new_solution.visit_time[astronomy.1] == 1 { continue; } new_solution.visits.remove(i); if astronomy.0 == 1 { new_solution.visit_time[astronomy.1] -= 1; } } 4 => { // ステーションを訪問させる insert let station = rng.gen_range(0..input.m); let i = rng.gen_range(1..new_solution.visits.len()); new_solution.visits.insert(i, (2, station)); } 5 => { // ステーションを移動させる move_station let i = rng.gen_range(0..input.m); new_solution.stations[i].0 += if rng.gen_bool(0.5) { 1 } else { -1 }; new_solution.stations[i].1 += if rng.gen_bool(0.5) { 1 } else { -1 }; } _ => unreachable!(), } // 近傍解作成ここまで new_solution.compute_score(input); prob = f64::exp((new_solution.score - solution.score) as f64 / temp); if solution.score < new_solution.score || rng.gen_bool(prob) { *solution = new_solution; } if best_solution.score < solution.score { best_solution = solution.clone(); } } *solution = best_solution; } const ALPHA: i64 = 5; #[derive(Debug, Clone)] struct Input { n: usize, m: usize, planets: Vec<(i64, i64)>, } impl Input { fn parse_input() -> Self { input! { n: usize, m: usize, planets: [(i64, i64); n], } Input { n, m, planets } } } #[derive(Debug, Clone)] struct Solution { stations: Vec<(i64, i64)>, visits: Vec<(usize, usize)>, // lenはinput.n + 1以上, (usize, Usize1)の気持ち visit_time: Vec<usize>, // 各惑星の訪問回数 1以上 score: i64, } impl std::fmt::Display for Solution { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { for (c, d) in self.stations.iter() { writeln!(f, "{} {}", c, d)?; } writeln!(f, "{}", self.visits.len())?; for (t, r) in self.visits.iter() { writeln!(f, "{} {}", t, r + 1)?; } Ok(()) } } fn compute_squared_distance(p1: (i64, i64), p2: (i64, i64)) -> i64 { let dx = p1.0 - p2.0; let dy = p1.1 - p2.1; dx * dx + dy * dy } impl Solution { fn new(input: &Input) -> Self { let stations = vec![(500, 500); input.m]; let mut visits: Vec<(usize, usize)> = (0..input.n).into_iter().map(|r| (1, r)).collect(); visits.push((1, 0)); let visit_time = vec![1; input.n]; Solution { stations, visits, visit_time, score: 0, } } fn compute_score(&mut self, input: &Input) { let mut score = 0; for i in 0..self.visits.len() - 1 { let prev_type = self.visits[i].0; let prev_point = if prev_type == 1 { input.planets[self.visits[i].1] } else { self.stations[self.visits[i].1] }; let next_type = self.visits[i + 1].0; let next_point = if next_type == 1 { input.planets[self.visits[i + 1].1] } else { self.stations[self.visits[i + 1].1] }; let base_energy = compute_squared_distance(prev_point, next_point); let prev_multiplier = if prev_type == 1 { ALPHA } else { 1 }; let next_multiplier = if next_type == 1 { ALPHA } else { 1 }; score += base_energy * prev_multiplier * next_multiplier; } let score = (1e9 / (1000.0 + f64::sqrt(score as f64))).round() as i64; self.score = score; } } pub fn get_time() -> f64 { let t = std::time::SystemTime::now() .duration_since(std::time::UNIX_EPOCH) .unwrap(); t.as_secs() as f64 + t.subsec_nanos() as f64 * 1e-9 } struct Timer { start_time: f64, } impl Timer { fn new() -> Timer { Timer { start_time: get_time(), } } fn get_time(&self) -> f64 { get_time() - self.start_time } } #[allow(dead_code)] mod ntk_rand { pub trait Distribution<T, TX> { /// Generate a random value of `T`, using `rng` as the source of randomness. fn sample(&self, rng: &mut Xorshift<TX>) -> T; } pub struct Xorshift<T> { seed: T, } impl Xorshift<usize> { pub fn new() -> Self { Xorshift { seed: 0x139408dcbbf7a44, } } pub fn seed_from_u64(seed: usize) -> Xorshift<usize> { Xorshift { seed } } fn gen(&mut self) -> usize { self.seed = self.seed ^ (self.seed << 13); self.seed = self.seed ^ (self.seed >> 7); self.seed = self.seed ^ (self.seed << 17); self.seed } pub fn rand(&mut self) -> usize { self.gen() } fn sample<T, D: Distribution<T, usize>>(&mut self, distr: D) -> T { distr.sample(self) } pub fn gen_bool(&mut self, p: f64) -> bool { let d = Bernoulli::new(p).unwrap(); self.sample(d) } pub fn gen_range<T, R>(&mut self, range: R) -> T where T: SampleUniform, R: SampleRange<T>, { range.sample_single(self) } } pub struct Uniform<X: SampleUniform>(X::Sampler); impl<X: SampleUniform> Uniform<X> { pub fn new<B1, B2>(low: B1, high: B2) -> Uniform<X> where B1: SampleBorrow<X> + Sized, B2: SampleBorrow<X> + Sized, { Uniform(X::Sampler::new(low, high)) } pub fn new_inclusive<B1, B2>(low: B1, high: B2) -> Uniform<X> where B1: SampleBorrow<X> + Sized, B2: SampleBorrow<X> + Sized, { Uniform(X::Sampler::new_inclusive(low, high)) } } impl<X: SampleUniform> Distribution<X, usize> for Uniform<X> { fn sample(&self, rng: &mut Xorshift<usize>) -> X { self.0.sample(rng) } } pub trait UniformSampler: Sized { /// The type sampled by this implementation. type X; fn new<B1, B2>(low: B1, high: B2) -> Self where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized; fn new_inclusive<B1, B2>(low: B1, high: B2) -> Self where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized; /// Sample a value. fn sample(&self, rng: &mut Xorshift<usize>) -> Self::X; fn sample_single<B1, B2>(low: B1, high: B2, rng: &mut Xorshift<usize>) -> Self::X where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized, { let uniform: Self = UniformSampler::new(low, high); uniform.sample(rng) } fn sample_single_inclusive<B1, B2>(low: B1, high: B2, rng: &mut Xorshift<usize>) -> Self::X where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized, { let uniform: Self = UniformSampler::new_inclusive(low, high); uniform.sample(rng) } } impl<X: SampleUniform> From<core::ops::Range<X>> for Uniform<X> { fn from(r: core::ops::Range<X>) -> Uniform<X> { Uniform::new(r.start, r.end) } } impl<X: SampleUniform> From<core::ops::RangeInclusive<X>> for Uniform<X> { fn from(r: core::ops::RangeInclusive<X>) -> Uniform<X> { Uniform::new_inclusive(r.start(), r.end()) } } pub trait SampleUniform: Sized { /// The `UniformSampler` implementation supporting type `X`. type Sampler: UniformSampler<X = Self>; } pub trait SampleBorrow<Borrowed> { /// Immutably borrows from an owned value. See [`Borrow::borrow`] /// /// [`Borrow::borrow`]: std::borrow::Borrow::borrow fn borrow(&self) -> &Borrowed; } impl<Borrowed> SampleBorrow<Borrowed> for Borrowed where Borrowed: SampleUniform, { #[inline(always)] fn borrow(&self) -> &Borrowed { self } } impl<'a, Borrowed> SampleBorrow<Borrowed> for &'a Borrowed where Borrowed: SampleUniform, { #[inline(always)] fn borrow(&self) -> &Borrowed { *self } } /// Range that supports generating a single sample efficiently. /// /// Any type implementing this trait can be used to specify the sampled range /// for `Rng::gen_range`. pub trait SampleRange<T> { /// Generate a sample from the given range. fn sample_single(self, rng: &mut Xorshift<usize>) -> T; /// Check whether the range is empty. fn is_empty(&self) -> bool; } impl<T: SampleUniform + PartialOrd> SampleRange<T> for core::ops::Range<T> { #[inline] fn sample_single(self, rng: &mut Xorshift<usize>) -> T { T::Sampler::sample_single(self.start, self.end, rng) } #[inline] fn is_empty(&self) -> bool { // !(self.start >= self.end) self.start < self.end } } impl<T: SampleUniform + PartialOrd> SampleRange<T> for core::ops::RangeInclusive<T> { #[inline] fn sample_single(self, rng: &mut Xorshift<usize>) -> T { T::Sampler::sample_single_inclusive(self.start(), self.end(), rng) } #[inline] fn is_empty(&self) -> bool { // !(self.start() <= self.end()) self.start() > self.end() } } pub trait WideningMultiply<RHS = Self> { type Output; fn wmul(self, x: RHS) -> Self::Output; } macro_rules! wmul_impl { ($ty:ty, $wide:ty, $shift:expr) => { impl WideningMultiply for $ty { type Output = ($ty, $ty); #[inline(always)] fn wmul(self, x: $ty) -> Self::Output { let tmp = (self as $wide) * (x as $wide); ((tmp >> $shift) as $ty, tmp as $ty) } } }; // simd bulk implementation ($(($ty:ident, $wide:ident),)+, $shift:expr) => { $( impl WideningMultiply for $ty { type Output = ($ty, $ty); #[inline(always)] fn wmul(self, x: $ty) -> Self::Output { // For supported vectors, this should compile to a couple // supported multiply & swizzle instructions (no actual // casting). // TODO: optimize let y: $wide = self.cast(); let x: $wide = x.cast(); let tmp = y * x; let hi: $ty = (tmp >> $shift).cast(); let lo: $ty = tmp.cast(); (hi, lo) } } )+ }; } wmul_impl! { u8, u16, 8 } wmul_impl! { u16, u32, 16 } wmul_impl! { u32, u64, 32 } wmul_impl! { u64, u128, 64 } macro_rules! wmul_impl_large { ($ty:ty, $half:expr) => { impl WideningMultiply for $ty { type Output = ($ty, $ty); #[inline(always)] fn wmul(self, b: $ty) -> Self::Output { const LOWER_MASK: $ty = !0 >> $half; let mut low = (self & LOWER_MASK).wrapping_mul(b & LOWER_MASK); let mut t = low >> $half; low &= LOWER_MASK; t += (self >> $half).wrapping_mul(b & LOWER_MASK); low += (t & LOWER_MASK) << $half; let mut high = t >> $half; t = low >> $half; low &= LOWER_MASK; t += (b >> $half).wrapping_mul(self & LOWER_MASK); low += (t & LOWER_MASK) << $half; high += t >> $half; high += (self >> $half).wrapping_mul(b >> $half); (high, low) } } }; // simd bulk implementation (($($ty:ty,)+) $scalar:ty, $half:expr) => { $( impl WideningMultiply for $ty { type Output = ($ty, $ty); #[inline(always)] fn wmul(self, b: $ty) -> Self::Output { // needs wrapping multiplication const LOWER_MASK: $scalar = !0 >> $half; let mut low = (self & LOWER_MASK) * (b & LOWER_MASK); let mut t = low >> $half; low &= LOWER_MASK; t += (self >> $half) * (b & LOWER_MASK); low += (t & LOWER_MASK) << $half; let mut high = t >> $half; t = low >> $half; low &= LOWER_MASK; t += (b >> $half) * (self & LOWER_MASK); low += (t & LOWER_MASK) << $half; high += t >> $half; high += (self >> $half) * (b >> $half); (high, low) } } )+ }; } wmul_impl_large! { u128, 64 } macro_rules! wmul_impl_usize { ($ty:ty) => { impl WideningMultiply for usize { type Output = (usize, usize); #[inline(always)] fn wmul(self, x: usize) -> Self::Output { let (high, low) = (self as $ty).wmul(x as $ty); (high as usize, low as usize) } } }; } #[cfg(target_pointer_width = "16")] wmul_impl_usize! { u16 } #[cfg(target_pointer_width = "32")] wmul_impl_usize! { u32 } #[cfg(target_pointer_width = "64")] wmul_impl_usize! { u64 } pub struct UniformInt<X> { low: X, range: X, z: X, } macro_rules! uniform_int_impl { ($ty:ty, $unsigned:ident, $u_large:ident) => { impl SampleUniform for $ty { type Sampler = UniformInt<$ty>; } impl UniformSampler for UniformInt<$ty> { type X = $ty; #[inline] fn new<B1, B2>(low_b: B1, high_b: B2) -> Self where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized, { let low = *low_b.borrow(); let high = *high_b.borrow(); assert!(low < high, "Uniform::new called with `low >= high`"); UniformSampler::new_inclusive(low, high - 1) } #[inline] fn new_inclusive<B1, B2>(low_b: B1, high_b: B2) -> Self where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized, { let low = *low_b.borrow(); let high = *high_b.borrow(); assert!( low <= high, "Uniform::new_inclusive called with `low > high`" ); let unsigned_max = core::$u_large::MAX; let range = high.wrapping_sub(low).wrapping_add(1) as $unsigned; let ints_to_reject = if range > 0 { let range = $u_large::from(range); (unsigned_max - range + 1) % range } else { 0 }; UniformInt { low, range: range as $ty, z: ints_to_reject as $unsigned as $ty, } } #[inline] fn sample(&self, rng: &mut Xorshift<$u_large>) -> Self::X { let range = self.range as $unsigned as $u_large; if range > 0 { let unsigned_max = core::$u_large::MAX; let zone = unsigned_max - (self.z as $unsigned as $u_large); loop { let v: $u_large = rng.gen(); let (hi, lo) = v.wmul(range); if lo <= zone { return self.low.wrapping_add(hi as $ty); } } } else { rng.gen() } } #[inline] fn sample_single<B1, B2>( low_b: B1, high_b: B2, rng: &mut Xorshift<$u_large>, ) -> Self::X where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized, { let low = *low_b.borrow(); let high = *high_b.borrow(); assert!(low < high, "UniformSampler::sample_single: low >= high"); Self::sample_single_inclusive(low, high - 1, rng) } #[inline] fn sample_single_inclusive<B1, B2>( low_b: B1, high_b: B2, rng: &mut Xorshift<$u_large>, ) -> Self::X where B1: SampleBorrow<Self::X> + Sized, B2: SampleBorrow<Self::X> + Sized, { let low = *low_b.borrow(); let high = *high_b.borrow(); assert!( low <= high, "UniformSampler::sample_single_inclusive: low > high" ); let range = high.wrapping_sub(low).wrapping_add(1) as $unsigned as $u_large; if range == 0 { return rng.gen(); } let zone = if core::$unsigned::MAX <= core::u16::MAX as $unsigned { let unsigned_max: $u_large = core::$u_large::MAX; let ints_to_reject = (unsigned_max - range + 1) % range; unsigned_max - ints_to_reject } else { (range << range.leading_zeros()).wrapping_sub(1) }; loop { let v: $u_large = rng.gen(); let (hi, lo) = v.wmul(range); if lo <= zone { return low.wrapping_add(hi as $ty); } } } } }; } uniform_int_impl! { usize, usize, usize } pub struct Bernoulli { p_int: u64, } const ALWAYS_TRUE: u64 = u64::max_value(); const SCALE: f64 = 2.0 * (1u64 << 63) as f64; #[derive(Clone, Copy, Debug, PartialEq, Eq)] pub enum BernoulliError { InvalidProbability, } impl Bernoulli { #[inline] pub fn new(p: f64) -> Result<Bernoulli, BernoulliError> { if !(0.0..1.0).contains(&p) { if p == 1.0 { return Ok(Bernoulli { p_int: ALWAYS_TRUE }); } return Err(BernoulliError::InvalidProbability); } Ok(Bernoulli { p_int: (p * SCALE) as u64, }) } } impl Distribution<bool, usize> for Bernoulli { #[inline] fn sample(&self, rng: &mut Xorshift<usize>) -> bool { if self.p_int == ALWAYS_TRUE { return true; } let v: u64 = rng.gen() as u64; v < self.p_int } } }