結果

問題 No.498 ワープクリスタル (給料日編)
ユーザー phspls
提出日時 2022-11-23 17:23:57
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 894 ms / 2,000 ms
コード長 2,464 bytes
コンパイル時間 12,580 ms
コンパイル使用メモリ 392,708 KB
実行使用メモリ 316,732 KB
最終ジャッジ日時 2024-09-24 21:03:16
合計ジャッジ時間 22,888 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 21
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

use std::collections::HashMap;
const MOD: usize = 1e9 as usize + 7;
fn fact_inv(size: usize) -> (Vec<usize>, Vec<usize>) {
let mut facts = vec![0usize; size+1];
let mut fact_invs = vec![0usize; size+1];
let mut invs = vec![0usize; size+1];
facts[0] = 1;
facts[1] = 1;
fact_invs[0] = 1;
fact_invs[1] = 1;
invs[1] = 1;
for i in 2..=size {
facts[i] = facts[i-1] * i % MOD;
invs[i] = MOD - invs[MOD % i] * (MOD / i) % MOD;
fact_invs[i] = fact_invs[i - 1] * invs[i] % MOD;
}
(facts, fact_invs)
}
fn comb(n: usize, r: usize, facts: &Vec<usize>, fact_invs: &Vec<usize>) -> usize {
facts[n] * fact_invs[r] % MOD * fact_invs[n-r] % MOD
}
fn main() {
let mut temp = String::new();
std::io::stdin().read_line(&mut temp).ok();
let temp: Vec<isize> = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
let gx = temp[0];
let gy = temp[1];
let k = temp[2] as usize;
let queries = (0..k).map(|_| {
let mut temp = String::new();
std::io::stdin().read_line(&mut temp).ok();
let temp: Vec<isize> = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
(temp[0], temp[1], temp[2] as usize)
})
.collect::<Vec<_>>();
let mut mapping: HashMap<(isize, isize), Vec<Vec<usize>>> = HashMap::new();
mapping.insert((0isize, 0isize), vec![vec![]]);
for idx in 0..k {
let (ax, ay, n) = queries[idx];
let mut next_map = HashMap::new();
for (&(x, y), v) in mapping.iter() {
for vv in v.iter() {
for i in 0..=n {
let mut nvv = vv.clone().to_owned();
nvv.push(i);
let np = (x + i as isize * ax, y + i as isize * ay);
next_map.entry(np).or_insert(vec![]).push(nvv);
}
}
}
mapping = next_map;
}
let (facts, fact_invs) = fact_inv(100);
let mut result = 0usize;
if let Some(v) = mapping.get(&(gx, gy)) {
for vv in v.iter() {
let mut summary = vv.iter().sum::<usize>();
let mut pat = 1usize;
for &val in vv.iter() {
pat *= comb(summary, val, &facts, &fact_invs);
pat %= MOD;
summary -= val;
}
result += pat;
result %= MOD;
}
}
println!("{}", result);
}
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