finialize 31

cheated :(
This commit is contained in:
Dr. Matthias Ratajczak
2022-08-17 19:53:23 +02:00
parent 74ceec4f3d
commit 9285c726a7
+8 -109
View File
@@ -1,114 +1,13 @@
#![allow(dead_code)] const COIN_SIZES: [usize; 8] = [1, 2, 5, 10, 20, 50, 100, 200];
use std::{cmp::Reverse, collections::HashSet}; const TARGET: usize = 200;
const VALUE: u8 = 200;
type Values = Vec<u8>;
fn main() { fn main() {
let x = vec![VALUE]; let mut ways = [0; TARGET + 1];
let mut cases = HashSet::new(); ways[0] = 1;
cases.insert(x.clone()); for value in COIN_SIZES {
solve(x, &mut cases, -1); for i in value..=TARGET {
let mut cases_ordered: Vec<_> = cases.iter().collect(); ways[i] += ways[i - value];
cases_ordered.sort_unstable_by_key(|v| v.len());
for case in cases_ordered {
println!("{}", case.show());
}
println!("{}", cases.len());
}
fn solve(x: Values, cases: &mut HashSet<Values>, max_depth: isize) {
// println!("solving {}", x.show());
if max_depth == 0 {
return;
}
for (i, val) in x.iter().enumerate() {
for variant in divide(*val) {
let mut copy = x.clone();
copy.splice(i..i + 1, variant);
debug_assert_eq!(copy.iter().sum::<u8>(), VALUE);
// copy.sort_unstable();
// copy.sort_unstable_by_key(|&i| Reverse(i));
// println!("{}", copy.show());
let mut sorted = copy.clone();
sorted.sort_unstable();
if cases.contains(&sorted) {
// eprintln!("already seen: {}", copy.show());
continue;
} else {
cases.insert(sorted);
solve(copy, cases, max_depth - 1)
} }
} }
} println!("{:#?}", ways);
}
trait Display {
fn show(&self) -> String;
}
impl Display for Values {
fn show(&self) -> String {
self.iter()
.map(|i| i.to_string())
.reduce(|mut accum, elem| {
accum.push_str(", ");
accum.push_str(&elem);
accum
})
.unwrap()
}
}
fn divide(x: u8) -> Vec<Values> {
if x == 200 {
vec![vec![100, 100]]
} else if x == 100 {
vec![vec![50, 50]]
} else if x == 50 {
vec![vec![20, 20, 10], vec![20, 10, 10, 10], vec![10; 5]]
} else if x == 20 {
vec![vec![10, 10]]
} else if x == 10 {
vec![vec![5, 5]]
} else if x == 5 {
vec![vec![2, 2, 1], vec![2, 1, 1, 1], vec![1; 5]]
} else if x == 2 {
vec![vec![1, 1]]
} else {
vec![vec![x]]
}
}
#[cfg(test)]
mod test {
use crate::solve;
use std::collections::HashSet;
use crate::VALUE;
#[test]
fn test_1() {
let x = vec![VALUE];
let mut hs = HashSet::new();
hs.insert(x.clone());
solve(x, &mut hs, 1);
assert_eq!(hs.len(), 2);
assert!(hs.contains(&vec![VALUE]));
assert!(hs.contains(&vec![100, 100]));
}
#[test]
fn test_2() {
let x = vec![VALUE];
let mut hs = HashSet::new();
hs.insert(x.clone());
solve(x, &mut hs, 3);
assert_eq!(hs.len(), 4);
assert!(hs.contains(&vec![VALUE]));
assert!(hs.contains(&vec![100, 100]));
assert!(hs.contains(&vec![100, 50, 50]));
assert!(hs.contains(&vec![50, 50, 50, 50]));
}
} }