結果
問題 | No.1261 数字集め |
ユーザー | akakimidori |
提出日時 | 2020-10-17 11:32:35 |
言語 | Rust (1.77.0) |
結果 |
AC
|
実行時間 | 6,111 ms / 8,000 ms |
コード長 | 9,690 bytes |
コンパイル時間 | 4,178 ms |
コンパイル使用メモリ | 155,140 KB |
実行使用メモリ | 22,988 KB |
最終ジャッジ日時 | 2023-09-28 11:13:45 |
合計ジャッジ時間 | 393,916 ms |
ジャッジサーバーID (参考情報) |
judge13 / judge15 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 6,070 ms
22,852 KB |
testcase_01 | AC | 1,845 ms
10,408 KB |
testcase_02 | AC | 4,194 ms
19,400 KB |
testcase_03 | AC | 4,274 ms
19,396 KB |
testcase_04 | AC | 2,605 ms
11,952 KB |
testcase_05 | AC | 5,758 ms
22,344 KB |
testcase_06 | AC | 3,031 ms
12,756 KB |
testcase_07 | AC | 4,486 ms
19,704 KB |
testcase_08 | AC | 2,321 ms
11,520 KB |
testcase_09 | AC | 3,133 ms
13,020 KB |
testcase_10 | AC | 97 ms
4,376 KB |
testcase_11 | AC | 5,701 ms
22,096 KB |
testcase_12 | AC | 5,060 ms
20,892 KB |
testcase_13 | AC | 4,555 ms
19,788 KB |
testcase_14 | AC | 363 ms
4,376 KB |
testcase_15 | AC | 2,040 ms
10,732 KB |
testcase_16 | AC | 4,431 ms
19,736 KB |
testcase_17 | AC | 3,491 ms
17,836 KB |
testcase_18 | AC | 2,088 ms
10,796 KB |
testcase_19 | AC | 4,293 ms
19,320 KB |
testcase_20 | AC | 465 ms
4,376 KB |
testcase_21 | AC | 6,027 ms
22,748 KB |
testcase_22 | AC | 6,061 ms
22,736 KB |
testcase_23 | AC | 6,080 ms
22,676 KB |
testcase_24 | AC | 6,050 ms
22,748 KB |
testcase_25 | AC | 6,027 ms
22,724 KB |
testcase_26 | AC | 6,033 ms
22,740 KB |
testcase_27 | AC | 6,062 ms
22,764 KB |
testcase_28 | AC | 6,019 ms
22,744 KB |
testcase_29 | AC | 6,032 ms
22,756 KB |
testcase_30 | AC | 6,056 ms
22,724 KB |
testcase_31 | AC | 6,063 ms
22,752 KB |
testcase_32 | AC | 6,062 ms
22,744 KB |
testcase_33 | AC | 6,085 ms
22,864 KB |
testcase_34 | AC | 6,111 ms
22,744 KB |
testcase_35 | AC | 6,105 ms
22,724 KB |
testcase_36 | AC | 6,094 ms
22,748 KB |
testcase_37 | AC | 6,075 ms
22,836 KB |
testcase_38 | AC | 6,091 ms
22,700 KB |
testcase_39 | AC | 6,076 ms
22,728 KB |
testcase_40 | AC | 6,074 ms
22,712 KB |
testcase_41 | AC | 6,069 ms
22,716 KB |
testcase_42 | AC | 6,063 ms
22,716 KB |
testcase_43 | AC | 6,073 ms
22,656 KB |
testcase_44 | AC | 5,242 ms
21,248 KB |
testcase_45 | AC | 971 ms
6,568 KB |
testcase_46 | AC | 2,632 ms
12,276 KB |
testcase_47 | AC | 1,765 ms
10,404 KB |
testcase_48 | AC | 4,349 ms
19,496 KB |
testcase_49 | AC | 5,226 ms
21,188 KB |
testcase_50 | AC | 4,641 ms
20,268 KB |
testcase_51 | AC | 1,136 ms
6,844 KB |
testcase_52 | AC | 65 ms
4,376 KB |
testcase_53 | AC | 1,143 ms
6,856 KB |
testcase_54 | AC | 1,324 ms
7,384 KB |
testcase_55 | AC | 568 ms
4,620 KB |
testcase_56 | AC | 743 ms
6,188 KB |
testcase_57 | AC | 4,085 ms
19,020 KB |
testcase_58 | AC | 1,008 ms
6,536 KB |
testcase_59 | AC | 5,359 ms
21,724 KB |
testcase_60 | AC | 1,256 ms
7,204 KB |
testcase_61 | AC | 1,871 ms
10,444 KB |
testcase_62 | AC | 4,795 ms
20,500 KB |
testcase_63 | AC | 662 ms
4,692 KB |
testcase_64 | AC | 5,820 ms
22,516 KB |
testcase_65 | AC | 3,683 ms
18,248 KB |
testcase_66 | AC | 3,072 ms
12,744 KB |
testcase_67 | AC | 4,824 ms
20,552 KB |
testcase_68 | AC | 2,868 ms
12,648 KB |
testcase_69 | AC | 2,811 ms
12,348 KB |
testcase_70 | AC | 2,105 ms
11,224 KB |
testcase_71 | AC | 4,534 ms
19,840 KB |
testcase_72 | AC | 1,461 ms
7,636 KB |
testcase_73 | AC | 1,740 ms
10,384 KB |
testcase_74 | AC | 752 ms
6,044 KB |
testcase_75 | AC | 2,571 ms
12,180 KB |
testcase_76 | AC | 4,111 ms
18,992 KB |
testcase_77 | AC | 4,823 ms
20,464 KB |
testcase_78 | AC | 10 ms
4,376 KB |
testcase_79 | AC | 5,054 ms
20,864 KB |
testcase_80 | AC | 57 ms
4,376 KB |
testcase_81 | AC | 400 ms
4,376 KB |
testcase_82 | AC | 3,861 ms
18,624 KB |
testcase_83 | AC | 1,546 ms
10,096 KB |
testcase_84 | AC | 6,071 ms
22,936 KB |
testcase_85 | AC | 6,082 ms
22,960 KB |
testcase_86 | AC | 6,076 ms
22,988 KB |
testcase_87 | AC | 6,069 ms
22,904 KB |
testcase_88 | AC | 6,056 ms
22,952 KB |
testcase_89 | AC | 6,069 ms
22,944 KB |
testcase_90 | AC | 6,081 ms
22,900 KB |
testcase_91 | AC | 6,055 ms
22,940 KB |
testcase_92 | AC | 6,045 ms
22,980 KB |
testcase_93 | AC | 6,062 ms
22,880 KB |
ソースコード
// ---------- begin ModInt ---------- mod modint { #[allow(dead_code)] pub struct Mod; impl ConstantModulo for Mod { const MOD: u32 = 1_000_000_007; } #[allow(dead_code)] pub struct StaticMod; static mut STATIC_MOD: u32 = 0; impl Modulo for StaticMod { fn modulo() -> u32 { unsafe { STATIC_MOD } } } #[allow(dead_code)] impl StaticMod { pub fn set_modulo(p: u32) { unsafe { STATIC_MOD = p; } } } use std::marker::*; use std::ops::*; pub trait Modulo { fn modulo() -> u32; } pub trait ConstantModulo { const MOD: u32; } impl<T> Modulo for T where T: ConstantModulo, { fn modulo() -> u32 { T::MOD } } pub struct ModInt<T>(pub u32, PhantomData<T>); impl<T> Clone for ModInt<T> { fn clone(&self) -> Self { ModInt::new_unchecked(self.0) } } impl<T> Copy for ModInt<T> {} impl<T: Modulo> Add for ModInt<T> { type Output = ModInt<T>; fn add(self, rhs: Self) -> Self::Output { let mut d = self.0 + rhs.0; if d >= T::modulo() { d -= T::modulo(); } ModInt::new_unchecked(d) } } impl<T: Modulo> AddAssign for ModInt<T> { fn add_assign(&mut self, rhs: Self) { *self = *self + rhs; } } impl<T: Modulo> Sub for ModInt<T> { type Output = ModInt<T>; fn sub(self, rhs: Self) -> Self::Output { let mut d = T::modulo() + self.0 - rhs.0; if d >= T::modulo() { d -= T::modulo(); } ModInt::new_unchecked(d) } } impl<T: Modulo> SubAssign for ModInt<T> { fn sub_assign(&mut self, rhs: Self) { *self = *self - rhs; } } impl<T: Modulo> Mul for ModInt<T> { type Output = ModInt<T>; fn mul(self, rhs: Self) -> Self::Output { let v = self.0 as u64 * rhs.0 as u64 % T::modulo() as u64; ModInt::new_unchecked(v as u32) } } impl<T: Modulo> MulAssign for ModInt<T> { fn mul_assign(&mut self, rhs: Self) { *self = *self * rhs; } } impl<T: Modulo> Neg for ModInt<T> { type Output = ModInt<T>; fn neg(self) -> Self::Output { if self.0 == 0 { Self::zero() } else { Self::new_unchecked(T::modulo() - self.0) } } } impl<T> std::fmt::Display for ModInt<T> { fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result { write!(f, "{}", self.0) } } impl<T: Modulo> std::str::FromStr for ModInt<T> { type Err = std::num::ParseIntError; fn from_str(s: &str) -> Result<Self, Self::Err> { let val = s.parse::<u32>()?; Ok(ModInt::new(val)) } } impl<T: Modulo> From<usize> for ModInt<T> { fn from(val: usize) -> ModInt<T> { ModInt::new_unchecked((val % T::modulo() as usize) as u32) } } impl<T: Modulo> From<u64> for ModInt<T> { fn from(val: u64) -> ModInt<T> { ModInt::new_unchecked((val % T::modulo() as u64) as u32) } } impl<T: Modulo> From<i64> for ModInt<T> { fn from(val: i64) -> ModInt<T> { let m = T::modulo() as i64; ModInt::new((val % m + m) as u32) } } #[allow(dead_code)] impl<T> ModInt<T> { pub fn new_unchecked(d: u32) -> Self { ModInt(d, PhantomData) } pub fn zero() -> Self { ModInt::new_unchecked(0) } pub fn one() -> Self { ModInt::new_unchecked(1) } pub fn is_zero(&self) -> bool { self.0 == 0 } } #[allow(dead_code)] impl<T: Modulo> ModInt<T> { pub fn new(d: u32) -> Self { ModInt::new_unchecked(d % T::modulo()) } pub fn pow(&self, mut n: u64) -> Self { let mut t = Self::one(); let mut s = *self; while n > 0 { if n & 1 == 1 { t *= s; } s *= s; n >>= 1; } t } pub fn inv(&self) -> Self { assert!(self.0 != 0); self.pow(T::modulo() as u64 - 2) } } #[allow(dead_code)] pub fn mod_pow(r: u64, mut n: u64, m: u64) -> u64 { let mut t = 1 % m; let mut s = r % m; while n > 0 { if n & 1 == 1 { t = t * s % m; } s = s * s % m; n >>= 1; } t } } // ---------- end ModInt ---------- // ---------- begin Precalc ---------- mod precalc { use super::modint::*; #[allow(dead_code)] pub struct Precalc<T> { inv: Vec<ModInt<T>>, fact: Vec<ModInt<T>>, ifact: Vec<ModInt<T>>, } #[allow(dead_code)] impl<T: Modulo> Precalc<T> { pub fn new(n: usize) -> Precalc<T> { let mut inv = vec![ModInt::one(); n + 1]; let mut fact = vec![ModInt::one(); n + 1]; let mut ifact = vec![ModInt::one(); n + 1]; for i in 2..(n + 1) { fact[i] = fact[i - 1] * ModInt::new_unchecked(i as u32); } ifact[n] = fact[n].inv(); if n > 0 { inv[n] = ifact[n] * fact[n - 1]; } for i in (1..n).rev() { ifact[i] = ifact[i + 1] * ModInt::new_unchecked((i + 1) as u32); inv[i] = ifact[i] * fact[i - 1]; } Precalc { inv: inv, fact: fact, ifact: ifact, } } pub fn inv(&self, n: usize) -> ModInt<T> { assert!(n > 0); self.inv[n] } pub fn fact(&self, n: usize) -> ModInt<T> { self.fact[n] } pub fn ifact(&self, n: usize) -> ModInt<T> { self.ifact[n] } pub fn perm(&self, n: usize, k: usize) -> ModInt<T> { if k > n { return ModInt::zero(); } self.fact[n] * self.ifact[n - k] } pub fn comb(&self, n: usize, k: usize) -> ModInt<T> { if k > n { return ModInt::zero(); } self.fact[n] * self.ifact[k] * self.ifact[n - k] } } } // ---------- end Precalc ---------- // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::<Vec<char>>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::<Vec<u8>>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- use std::io::Write; use modint::*; type M = ModInt<Mod>; fn run() { let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); input! { n: usize, m: usize, a: [M; n - 1], q: usize, ask: [(usize, usize); q], } let mut a = a; a.insert(0, M::one()); a.insert(0, M::one()); let m = m - 3; a.iter_mut().for_each(|a| *a -= M::one()); let pow = a.iter().map(|a| a.pow((m + 1) as u64)).collect::<Vec<_>>(); let calc = |x: usize, y: usize, z: usize| -> M { assert!(1 < x && x < y && y < z && z == n); let (p, q, r) = (pow[x], pow[y], pow[z]); let (a, b, c) = (a[x], a[y], a[z]); (b * (r - q) * (c - b).inv() - a * (r - p) * (c - a).inv()) * (b - a).inv() }; let mut to = vec![false; n + 1]; let mut sum = vec![M::zero(); n + 1]; let mut ans = M::zero(); for i in 2..n { to[i] = n % i == 0; for j in 2..=(n / i) { let j = j * i; if j == n { continue; } if n % j == 0 { ans += calc(i, j, n); } else { sum[j] += calc(i, j, n); } } } writeln!(out, "{}", ans).ok(); for (x, y) in ask { if y == n { ans += sum[x]; to[x] = true; } else { let v = calc(x, y, n); if to[y] { ans += v; } sum[y] += v; } writeln!(out, "{}", ans).ok(); } } fn main() { run(); }