結果
| 問題 | No.194 フィボナッチ数列の理解(1) |
| ユーザー |
 nebocco
|
| 提出日時 | 2021-03-05 07:30:25 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
AC
|
| 実行時間 | 8 ms / 5,000 ms |
| コード長 | 6,343 bytes |
| コンパイル時間 | 15,862 ms |
| コンパイル使用メモリ | 378,448 KB |
| 実行使用メモリ | 5,248 KB |
| 最終ジャッジ日時 | 2024-10-06 01:08:11 |
| 合計ジャッジ時間 | 14,104 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 37 |
ソースコード
fn main() {let mut io = IO::new();input!{ from io,n: usize, k: i64,a: [i64; n]}let ans = if k < 2_000_000 {solve_brute(n, k, a)} else {solve_fast(n, k, a)};io.println(ans);}fn solve_brute(n: usize, k: i64, a: Vec<i64>) -> (i64, i64) {let mut s = a.iter().sum::<i64>() % MOD;let mut ss = s * 2;let mut q = std::collections::VecDeque::new();q.extend(a);for _ in n as i64 + 1..k {q.push_back(s);s = (s * 2 - q.pop_front().unwrap()).rem_euclid(MOD);ss = (ss + s) % MOD}(s, ss)}fn solve_fast(n: usize, k: i64, mut a: Vec<i64>) -> (i64, i64) {let mut r = vec![vec![0; n+1]; n+1];r[n] = vec![1; n+1];r[n-1] = vec![1; n+1];r[n-1][n] = 0;for i in 0..n-1 {r[i][i+1] = 1;}let mut ret = vec![vec![0; n+1]; n+1];for i in 0..=n {ret[i][i] = 1;}let mut c = k - n as i64;while c != 0 {if c & 1 == 1 {ret = mat_mult(&r, &ret, MOD);}r = mat_mult(&r, &r, MOD);c >>= 1;}a.push(a.iter().sum::<i64>() % MOD);let mut s = 0;let mut f = 0;for i in 0..=n {s = (s + ret[n][i] * a[i]) % MOD;f = (f + ret[n-1][i] * a[i]) % MOD;}(f, s)}pub fn mat_mult(a: &[Vec<i64>], b: &[Vec<i64>], modulo: i64) -> Vec<Vec<i64>> {let n = a.len();let m = a[0].len();assert_eq!(b.len(), m);let o = b[0].len();let mut res = vec![vec![0; o]; n];for i in 0..n {for j in 0..m {for k in 0..o {res[i][k] = (res[i][k] + a[i][j] * b[j][k]) % modulo;}}}res}const MOD: i64 = 1_000_000_007;// ------------ io module start ------------use std::io::{stdout, BufWriter, Read, StdoutLock, Write};pub struct IO {iter: std::str::SplitAsciiWhitespace<'static>,buf: BufWriter<StdoutLock<'static>>,}impl IO {pub fn new() -> Self {let mut input = String::new();std::io::stdin().read_to_string(&mut input).unwrap();let input = Box::leak(input.into_boxed_str());let out = Box::new(stdout());IO {iter: input.split_ascii_whitespace(),buf: BufWriter::new(Box::leak(out).lock()),}}fn scan_str(&mut self) -> &'static str {self.iter.next().unwrap()}pub fn scan<T: Scan>(&mut self) -> <T as Scan>::Output {<T as Scan>::scan(self)}pub fn scan_vec<T: Scan>(&mut self, n: usize) -> Vec<<T as Scan>::Output> {(0..n).map(|_| self.scan::<T>()).collect()}pub fn print<T: Print>(&mut self, x: T) {<T as Print>::print(self, x);}pub fn println<T: Print>(&mut self, x: T) {self.print(x);self.print("\n");}pub fn iterln<T: Print, I: Iterator<Item = T>>(&mut self, mut iter: I, delim: &str) {if let Some(v) = iter.next() {self.print(v);for v in iter {self.print(delim);self.print(v);}}self.print("\n");}pub fn flush(&mut self) {self.buf.flush().unwrap();}}impl Default for IO {fn default() -> Self {Self::new()}}pub trait Scan {type Output;fn scan(io: &mut IO) -> Self::Output;}macro_rules! impl_scan {($($t:tt),*) => {$(impl Scan for $t {type Output = Self;fn scan(s: &mut IO) -> Self::Output {s.scan_str().parse().unwrap()}})*};}impl_scan!(i16, i32, i64, isize, u16, u32, u64, usize, String, f32, f64);pub enum Bytes {}impl Scan for Bytes {type Output = &'static [u8];fn scan(s: &mut IO) -> Self::Output {s.scan_str().as_bytes()}}pub enum Chars {}impl Scan for Chars {type Output = Vec<char>;fn scan(s: &mut IO) -> Self::Output {s.scan_str().chars().collect()}}pub enum Usize1 {}impl Scan for Usize1 {type Output = usize;fn scan(s: &mut IO) -> Self::Output {s.scan::<usize>().wrapping_sub(1)}}impl<T: Scan, U: Scan> Scan for (T, U) {type Output = (T::Output, U::Output);fn scan(s: &mut IO) -> Self::Output {(T::scan(s), U::scan(s))}}impl<T: Scan, U: Scan, V: Scan> Scan for (T, U, V) {type Output = (T::Output, U::Output, V::Output);fn scan(s: &mut IO) -> Self::Output {(T::scan(s), U::scan(s), V::scan(s))}}impl<T: Scan, U: Scan, V: Scan, W: Scan> Scan for (T, U, V, W) {type Output = (T::Output, U::Output, V::Output, W::Output);fn scan(s: &mut IO) -> Self::Output {(T::scan(s), U::scan(s), V::scan(s), W::scan(s))}}pub trait Print {fn print(w: &mut IO, x: Self);}macro_rules! impl_print_int {($($t:ty),*) => {$(impl Print for $t {fn print(w: &mut IO, x: Self) {w.buf.write_all(x.to_string().as_bytes()).unwrap();}})*};}impl_print_int!(i16, i32, i64, isize, u16, u32, u64, usize, f32, f64);impl Print for u8 {fn print(w: &mut IO, x: Self) {w.buf.write_all(&[x]).unwrap();}}impl Print for &[u8] {fn print(w: &mut IO, x: Self) {w.buf.write_all(x).unwrap();}}impl Print for &str {fn print(w: &mut IO, x: Self) {w.print(x.as_bytes());}}impl Print for String {fn print(w: &mut IO, x: Self) {w.print(x.as_bytes());}}impl<T: Print, U: Print> Print for (T, U) {fn print(w: &mut IO, (x, y): Self) {w.print(x);w.print(" ");w.print(y);}}impl<T: Print, U: Print, V: Print> Print for (T, U, V) {fn print(w: &mut IO, (x, y, z): Self) {w.print(x);w.print(" ");w.print(y);w.print(" ");w.print(z);}}mod neboccoio_macro {#[macro_export]macro_rules! input {(@start $io:tt @read @rest) => {};(@start $io:tt @read @rest, $($rest: tt)*) => {input!(@start $io @read @rest $($rest)*)};(@start $io:tt @read @rest mut $($rest:tt)*) => {input!(@start $io @read @mut [mut] @rest $($rest)*)};(@start $io:tt @read @rest $($rest:tt)*) => {input!(@start $io @read @mut [] @rest $($rest)*)};(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [[$kind:tt; $len1:expr]; $len2:expr] $($rest:tt)*) => {let $($mut)* $var = (0..$len2).map(|_| $io.scan_vec::<$kind>($len1)).collect::<Vec<Vec<$kind>>>();input!(@start $io @read @rest $($rest)*)};(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [$kind:tt; $len:expr] $($rest:tt)*) => {let $($mut)* $var = $io.scan_vec::<$kind>($len);input!(@start $io @read @rest $($rest)*)};(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: $kind:tt $($rest:tt)*) => {let $($mut)* $var = $io.scan::<$kind>();input!(@start $io @read @rest $($rest)*)};(from $io:tt $($rest:tt)*) => {input!(@start $io @read @rest $($rest)*)};}}// ------------ io module end ------------