diff --git a/yukicoder/2048.rs b/yukicoder/2048.rs new file mode 100644 index 00000000..aebea04f --- /dev/null +++ b/yukicoder/2048.rs @@ -0,0 +1,167 @@ +use std::io::Read; + +fn get_word() -> String { + let stdin = std::io::stdin(); + let mut stdin=stdin.lock(); + let mut u8b: [u8; 1] = [0]; + loop { + let mut buf: Vec = Vec::with_capacity(16); + loop { + let res = stdin.read(&mut u8b); + if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { + break; + } else { + buf.push(u8b[0]); + } + } + if buf.len() >= 1 { + let ret = String::from_utf8(buf).unwrap(); + return ret; + } + } +} + +fn get() -> T { get_word().parse().ok().unwrap() } + +/// Verified by https://atcoder.jp/contests/abc198/submissions/21774342 +mod mod_int { + use std::ops::*; + pub trait Mod: Copy { fn m() -> i64; } + #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord)] + pub struct ModInt { pub x: i64, phantom: ::std::marker::PhantomData } + impl ModInt { + // x >= 0 + pub fn new(x: i64) -> Self { ModInt::new_internal(x % M::m()) } + fn new_internal(x: i64) -> Self { + ModInt { x: x, phantom: ::std::marker::PhantomData } + } + pub fn pow(self, mut e: i64) -> Self { + debug_assert!(e >= 0); + let mut sum = ModInt::new_internal(1); + let mut cur = self; + while e > 0 { + if e % 2 != 0 { sum *= cur; } + cur *= cur; + e /= 2; + } + sum + } + #[allow(dead_code)] + pub fn inv(self) -> Self { self.pow(M::m() - 2) } + } + impl Default for ModInt { + fn default() -> Self { Self::new_internal(0) } + } + impl>> Add for ModInt { + type Output = Self; + fn add(self, other: T) -> Self { + let other = other.into(); + let mut sum = self.x + other.x; + if sum >= M::m() { sum -= M::m(); } + ModInt::new_internal(sum) + } + } + impl>> Sub for ModInt { + type Output = Self; + fn sub(self, other: T) -> Self { + let other = other.into(); + let mut sum = self.x - other.x; + if sum < 0 { sum += M::m(); } + ModInt::new_internal(sum) + } + } + impl>> Mul for ModInt { + type Output = Self; + fn mul(self, other: T) -> Self { ModInt::new(self.x * other.into().x % M::m()) } + } + impl>> AddAssign for ModInt { + fn add_assign(&mut self, other: T) { *self = *self + other; } + } + impl>> SubAssign for ModInt { + fn sub_assign(&mut self, other: T) { *self = *self - other; } + } + impl>> MulAssign for ModInt { + fn mul_assign(&mut self, other: T) { *self = *self * other; } + } + impl Neg for ModInt { + type Output = Self; + fn neg(self) -> Self { ModInt::new(0) - self } + } + impl ::std::fmt::Display for ModInt { + fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result { + self.x.fmt(f) + } + } + impl ::std::fmt::Debug for ModInt { + fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result { + let (mut a, mut b, _) = red(self.x, M::m()); + if b < 0 { + a = -a; + b = -b; + } + write!(f, "{}/{}", a, b) + } + } + impl From for ModInt { + fn from(x: i64) -> Self { Self::new(x) } + } + // Finds the simplest fraction x/y congruent to r mod p. + // The return value (x, y, z) satisfies x = y * r + z * p. + fn red(r: i64, p: i64) -> (i64, i64, i64) { + if r.abs() <= 10000 { + return (r, 1, 0); + } + let mut nxt_r = p % r; + let mut q = p / r; + if 2 * nxt_r >= r { + nxt_r -= r; + q += 1; + } + if 2 * nxt_r <= -r { + nxt_r += r; + q -= 1; + } + let (x, z, y) = red(nxt_r, r); + (x, y - q * z, z) + } +} // mod mod_int + +macro_rules! define_mod { + ($struct_name: ident, $modulo: expr) => { + #[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)] + pub struct $struct_name {} + impl mod_int::Mod for $struct_name { fn m() -> i64 { $modulo } } + } +} +const MOD: i64 = 998_244_353; +define_mod!(P, MOD); +type MInt = mod_int::ModInt

; + +// Depends on MInt.rs +fn fact_init(w: usize) -> (Vec, Vec) { + let mut fac = vec![MInt::new(1); w]; + let mut invfac = vec![0.into(); w]; + for i in 1..w { + fac[i] = fac[i - 1] * i as i64; + } + invfac[w - 1] = fac[w - 1].inv(); + for i in (0..w - 1).rev() { + invfac[i] = invfac[i + 1] * (i as i64 + 1); + } + (fac, invfac) +} + +// The author read the editorial before implementing this. +// https://yukicoder.me/problems/no/2048 (4) +// Tags: robinson-schensted-correspondence, longest-increasing-subsequence, lis +fn main() { + let n: usize = get(); + let (fac, invfac) = fact_init(n + 1); + let mut tot = MInt::new(0); + for i in 2..n - 1 { + let tmp = fac[n] * invfac[i - 2] * invfac[n - i - 2]; + let tmp = tmp * (MInt::new(i as i64) * (n - i) as i64 * (n - 1) as i64).inv(); + tot += tmp * tmp; + } + println!("{}", tot); +} diff --git a/yukicoder/2891.rs b/yukicoder/2891.rs new file mode 100644 index 00000000..9a90dab5 --- /dev/null +++ b/yukicoder/2891.rs @@ -0,0 +1,58 @@ +use std::io::Read; + +fn get_word() -> String { + let stdin = std::io::stdin(); + let mut stdin=stdin.lock(); + let mut u8b: [u8; 1] = [0]; + loop { + let mut buf: Vec = Vec::with_capacity(16); + loop { + let res = stdin.read(&mut u8b); + if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { + break; + } else { + buf.push(u8b[0]); + } + } + if buf.len() >= 1 { + let ret = String::from_utf8(buf).unwrap(); + return ret; + } + } +} + +fn get() -> T { get_word().parse().ok().unwrap() } + +const MOD: i64 = 998_244_353; + +fn triangle(x: i64) -> i64 { + let x = x % MOD; + x * (x - 1) / 2 % MOD +} + +// Tags: quotient, sqrt-decomposition +fn main() { + let n: i64 = get(); + let m: i64 = get(); + let mut x = 1; + while x * x <= m { + x += 1; + } + x -= 1; + let mut tot = (m % MOD) * (n % MOD) % MOD; + for i in 1..x + 1 { + if i <= n { + let q = m / i; + tot += MOD - (q * i) % MOD; + } + } + for j in 1..x + 1 { + let l = x.max(m / (j + 1)); + let r = (m / j).min(n); + if l < r { + tot += MOD - ((r - l) % MOD) * j % MOD * ((l + 1) % MOD) % MOD; + tot += MOD - triangle(r - l) * j % MOD; + } + } + println!("{}", tot % MOD); +}