Created
April 3, 2022 03:03
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Google Codejam 2022 Chain Reactions with rust and topological sort
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/* | |
twitter: @robertkingnz | |
youtube: https://www.youtube.com/c/RobertKing/videos | |
topological sort found here: https://github.com/kenkoooo/competitive-programming-rs/blob/master/src/graph/topological_sort.rs | |
Google Code Jam 2022 Chain Reactions: https://codingcompetitions.withgoogle.com/codejam/round/0000000000876ff1/0000000000a45ef7 | |
*/ | |
pub fn topological_sort(graph: &[Vec<usize>], mut fun: Vec<u64>) -> u64 { | |
let n = graph.len(); | |
let mut min = vec![1_000_000_001u64; n]; | |
let mut tot = vec![0; n]; | |
let mut in_deg = vec![0; n]; | |
for v in 0..n { | |
for &to in graph[v].iter() { | |
in_deg[to] += 1; | |
} | |
} | |
let mut q = std::collections::VecDeque::new(); | |
for i in 0..n { | |
if in_deg[i] == 0 { | |
q.push_back(i); | |
} | |
} | |
let mut ans = 0; | |
while let Some(v) = q.pop_front() { | |
if graph[v].is_empty() { | |
ans += fun[v]; | |
} | |
for &next in graph[v].iter() { | |
in_deg[next] -= 1; | |
tot[next] += fun[v]; | |
min[next] = min[next].min(fun[v]); | |
if in_deg[next] == 0 { | |
ans += tot[next] - min[next]; | |
fun[next] = fun[next].max(min[next]); | |
q.push_back(next); | |
} | |
} | |
} | |
ans | |
} | |
fn main() { | |
let (r, w) = (std::io::stdin(), std::io::stdout()); | |
let mut sc = IO::new(r.lock(), w.lock()); | |
let t: usize = sc.read(); | |
for case_num in 1..=t { | |
let n: usize = sc.read(); | |
let fun: Vec<u64> = sc.vec(n); | |
let points: Vec<usize> = sc.vec(n); | |
let mut graph = vec![vec![]; n]; | |
for i in 0..n { | |
if points[i] != 0 { | |
graph[i].push(points[i]-1); | |
} | |
} | |
let ans = topological_sort(&graph, fun); | |
sc.write( | |
format!("Case #{}: {}", case_num, ans) | |
); | |
sc.write("\n"); | |
} | |
} | |
pub struct IO<R, W: std::io::Write>(R, std::io::BufWriter<W>); | |
impl<R: std::io::Read, W: std::io::Write> IO<R, W> { | |
pub fn new(r: R, w: W) -> IO<R, W> { | |
IO(r, std::io::BufWriter::new(w)) | |
} | |
pub fn write<S: ToString>(&mut self, s: S) { | |
use std::io::Write; | |
self.1.write_all(s.to_string().as_bytes()).unwrap(); | |
} | |
pub fn read<T: std::str::FromStr>(&mut self) -> T { | |
use std::io::Read; | |
let buf = self | |
.0 | |
.by_ref() | |
.bytes() | |
.map(|b| b.unwrap()) | |
.skip_while(|&b| b == b' ' || b == b'\n' || b == b'\r' || b == b'\t') | |
.take_while(|&b| b != b' ' && b != b'\n' && b != b'\r' && b != b'\t') | |
.collect::<Vec<_>>(); | |
unsafe { std::str::from_utf8_unchecked(&buf) } | |
.parse() | |
.ok() | |
.expect("Parse error.") | |
} | |
pub fn usize0(&mut self) -> usize { | |
self.read::<usize>() - 1 | |
} | |
pub fn vec<T: std::str::FromStr>(&mut self, n: usize) -> Vec<T> { | |
(0..n).map(|_| self.read()).collect() | |
} | |
pub fn chars(&mut self) -> Vec<char> { | |
self.read::<String>().chars().collect() | |
} | |
pub fn binary_vec(&mut self) -> Vec<u8> { | |
self.read::<String>() | |
.bytes() | |
.map(|b| b - b'0') | |
.collect() | |
} | |
} |
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