Řešení KSP úlohy 33-3-4 Obsazování území https://ksp.mff.cuni.cz/h/ulohy/33/zadani3.html#task-33-3-4
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use rand::prelude::{StdRng, SliceRandom};
use rand::{SeedableRng, Rng, thread_rng};
pub const SIZE: usize = 16384;
pub struct City {
prices: Vec<u16>,
buyable_house_count: usize
}
impl City {
pub fn read_from_file(filename: &str) -> Self {
let values = std::fs::read(filename).unwrap();
let mut prices: Vec<u16> = Vec::new();
for y in 0..SIZE {
for x in 0..SIZE {
let price = (values[(y * SIZE + x) * 2] as u16) | ((values[(y * SIZE + x) * 2 + 1] as u16) << 8);
prices.push(price);
}
}
City::new(prices)
}
pub fn new(prices: Vec<u16>) -> Self {
let mut buyable_house_count = 0;
for &price in &prices {
if price > 0 {
buyable_house_count += 1;
}
}
City { prices, buyable_house_count }
}
pub fn get_price(&self, house: &House) -> u16 {
self.prices[house.y * SIZE + house.x]
}
pub fn get_price_xy(&self, x: usize, y: usize) -> u16 {
self.prices[y * SIZE + x]
}
pub fn is_house(&self, house: &House) -> bool {
self.get_price(&house) > 0
}
pub fn is_house_xy(&self, x: usize, y: usize) -> bool {
self.get_price_xy(x, y) > 0
}
pub fn get_house_count(&self) -> usize {
self.buyable_house_count
}
}
#[derive(Eq, PartialEq, Hash, Copy, Clone)]
pub struct House {
x: usize,
y: usize,
}
impl House {
pub fn new(x: usize, y: usize) -> Self {
House { x, y }
}
}
struct HouseLayout<'a> {
city: &'a City,
reachable: Vec<u16>,
houses: Vec<House>,
reachable_houses: usize
}
impl<'a> HouseLayout<'a> {
pub fn new(city: &'a City) -> Self {
HouseLayout { city, reachable: vec![0; SIZE * SIZE], houses: Vec::new(), reachable_houses: 0 }
}
pub fn cover_count(&self, house: House) -> u16 {
self.reachable[house.y * SIZE + house.x]
}
pub fn is_covered(&self, house: House) -> bool {
self.cover_count(house) > 0
}
pub fn add_house(&mut self, house: House) -> usize {
for y in (house.y as i32 - 500).max(0)..=(house.y as i32 + 500).min((SIZE - 1) as i32) {
for x in (house.x as i32 - 500).max(0)..=(house.x as i32 + 500).min((SIZE - 1) as i32) {
let index = y as usize * SIZE + x as usize;
if self.reachable[index] == 0 && self.city.is_house_xy(x as usize, y as usize) {
self.reachable_houses += 1;
}
self.reachable[index] += 1;
}
}
self.houses.push(house);
self.houses.len() - 1
}
pub fn remove_house(&mut self, index: usize) {
let house = self.houses.swap_remove(index);
for y in (house.y as i32 - 500).max(0)..=(house.y as i32 + 500).min((SIZE - 1) as i32) {
for x in (house.x as i32 - 500).max(0)..=(house.x as i32 + 500).min((SIZE - 1) as i32) {
let index = y as usize * SIZE + x as usize;
self.reachable[index] -= 1;
if self.reachable[index] == 0 && self.city.is_house_xy(x as usize, y as usize) {
self.reachable_houses -= 1;
}
}
}
}
pub fn is_valid(&self) -> bool {
self.reachable_houses == self.city.buyable_house_count
}
pub fn price(&self) -> u32 {
get_price(self.city, &self.houses)
}
pub fn houses(&self) -> &Vec<House> {
&self.houses
}
}
fn main() {
let city = City::read_from_file("01.in");
const AROUND_RANGE: i32 = 200;
const MAX_CANDIDATES: usize = 200;
//const MAX_FAILED_ITERATIONS: usize = 50;
println!("Params: AROUND_RANGE {}, MAX_CANDIDATES {}", AROUND_RANGE, MAX_CANDIDATES);
eprintln!("Params: AROUND_RANGE {}, MAX_CANDIDATES {}", AROUND_RANGE, MAX_CANDIDATES);
let mut best_price: Option<u32> = None;
loop {
let seed: u64 = thread_rng().gen();
eprintln!("Starting seed {}", seed);
let mut rng = StdRng::seed_from_u64(seed);
let mut layout = HouseLayout::new(&city);
loop {
loop {
let x = rng.gen_range(0..SIZE);
let y = rng.gen_range(0..SIZE);
let house = House::new(x, y);
if city.is_house_xy(x, y) && !layout.is_covered(house) {
layout.add_house(house);
break;
}
}
if layout.is_valid() {
break;
}
}
eprintln!("Finished random init, price: {}", layout.price());
let mut untried_houses = layout.houses().clone();
untried_houses.shuffle(&mut rng);
while untried_houses.len() > 0 {
let house = untried_houses.pop().unwrap();
let mut house_index = layout.houses().iter().position(|x| *x == house).unwrap();
let mut new_candidates = Vec::new();
for delta_y in -AROUND_RANGE..=AROUND_RANGE {
for delta_x in -AROUND_RANGE..=AROUND_RANGE {
let new_x = (house.x as i32 + delta_x).max(0).min(SIZE as i32 - 1) as usize;
let new_y = (house.y as i32 + delta_y).max(0).min(SIZE as i32 - 1) as usize;
if city.is_house_xy(new_x, new_y) && city.get_price_xy(new_x, new_y) < city.get_price(&house) {
new_candidates.push(House::new(new_x, new_y));
}
}
}
new_candidates.sort_by(|a, b| city.get_price(&a).cmp(&city.get_price(&b)));
if new_candidates.len() == 0 {
//eprintln!("Did not find candidate");
} else {
for (i, &candidate) in new_candidates.iter().enumerate() {
if i > MAX_CANDIDATES {
//eprintln!("No valid candidate");
break;
}
//eprint!("Found candidate {}...", i);
let old_price = layout.price();
layout.remove_house(house_index);
if layout.is_valid() {
// The candidate is not needed, the house was unnecessary
let new_price = layout.price();
let price_diff = new_price as i64 - old_price as i64;
//eprintln!(" candidate is valid, price diff: {}.", price_diff);
eprintln!("Removed a house, diff {}", price_diff);
eprintln!("Improved price: {}", new_price);
untried_houses = layout.houses().clone();
untried_houses.shuffle(&mut rng);
break;
}
let candidate_index = layout.add_house(candidate);
if layout.is_valid() {
let new_price = layout.price();
let price_diff = new_price as i64 - old_price as i64;
//eprintln!(" candidate is valid, price diff: {}.", price_diff);
eprintln!("Improved price: {}", new_price);
untried_houses = layout.houses().clone();
untried_houses.shuffle(&mut rng);
break;
} else {
//eprintln!(" candidate is invalid.");
layout.remove_house(candidate_index);
house_index = layout.add_house(house);
}
}
}
}
let price = layout.price();
if best_price.is_none() || price < best_price.unwrap() {
best_price = Some(price);
eprintln!("Finished randomization, price: {}, new best, printing", price);
println!("Price {}, seed {}", price, seed);
print_houses(&layout.houses());
println!();
} else {
eprintln!("Finished randomization, price: {}, printing", price);
println!("Price {}, seed {}", price, seed);
print_houses(&layout.houses());
println!();
}
}
}
pub fn get_neighbors(city: &City, house: &House) -> Vec<House> {
let mut neighbors = Vec::new();
for y in (house.y as i32 - 500).max(0)..=(house.y as i32 + 500).min((SIZE - 1) as i32) {
for x in (house.x as i32 - 500).max(0)..=(house.x as i32 + 500).min((SIZE - 1) as i32) {
let house = House::new(x as usize, y as usize);
if city.get_price(&house) > 0 {
neighbors.push(house);
}
}
}
neighbors
}
fn print_houses(houses: &Vec<House>) {
println!("{}", houses.len());
for house in houses {
println!("{} {}", house.y, house.x);
}
}
fn get_price(city: &City, houses: &Vec<House>) -> u32 {
let mut price = 0u32;
for house in houses {
price += city.get_price(&house) as u32;
}
price
}
fn is_valid(city: &City, houses: &Vec<House>) -> Option<u32> {
let mut reachable = vec![false; SIZE * SIZE];
let mut price = 0u32;
for house in houses {
assert!(city.prices[house.y * SIZE + house.x] > 0);
for y in (house.y as i32 - 500).max(0)..=(house.y as i32 + 500).min((SIZE - 1) as i32) {
for x in (house.x as i32 - 500).max(0)..=(house.x as i32 + 500).min((SIZE - 1) as i32) {
reachable[y as usize * SIZE + x as usize] = true;
}
}
price += city.get_price(&house) as u32;
}
for y in 0..SIZE {
for x in 0..SIZE {
if !reachable[y * SIZE + x] && city.prices[y * SIZE + x] > 0 {
return None;
}
}
}
Some(price)
}