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// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 | ||
macro_rules! input { | ||
($($r:tt)*) => { | ||
let stdin = std::io::stdin(); | ||
let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); | ||
let mut next = move || -> String{ | ||
bytes.by_ref().map(|r|r.unwrap() as char) | ||
.skip_while(|c|c.is_whitespace()) | ||
.take_while(|c|!c.is_whitespace()) | ||
.collect() | ||
}; | ||
input_inner!{next, $($r)*} | ||
}; | ||
} | ||
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macro_rules! input_inner { | ||
($next:expr) => {}; | ||
($next:expr,) => {}; | ||
($next:expr, $var:ident : $t:tt $($r:tt)*) => { | ||
let $var = read_value!($next, $t); | ||
input_inner!{$next $($r)*} | ||
}; | ||
} | ||
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macro_rules! read_value { | ||
($next:expr, [ $t:tt ; $len:expr ]) => { | ||
(0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>() | ||
}; | ||
($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); | ||
} | ||
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// Segment Tree. This data structure is useful for fast folding on intervals of an array | ||
// whose elements are elements of monoid I. Note that constructing this tree requires the identity | ||
// element of I and the operation of I. | ||
// Verified by: yukicoder No. 2220 (https://yukicoder.me/submissions/841554) | ||
struct SegTree<I, BiOp> { | ||
n: usize, | ||
orign: usize, | ||
dat: Vec<I>, | ||
op: BiOp, | ||
e: I, | ||
} | ||
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impl<I, BiOp> SegTree<I, BiOp> | ||
where BiOp: Fn(I, I) -> I, | ||
I: Copy { | ||
pub fn new(n_: usize, op: BiOp, e: I) -> Self { | ||
let mut n = 1; | ||
while n < n_ { n *= 2; } // n is a power of 2 | ||
SegTree {n: n, orign: n_, dat: vec![e; 2 * n - 1], op: op, e: e} | ||
} | ||
// ary[k] <- v | ||
pub fn update(&mut self, idx: usize, v: I) { | ||
debug_assert!(idx < self.orign); | ||
let mut k = idx + self.n - 1; | ||
self.dat[k] = v; | ||
while k > 0 { | ||
k = (k - 1) / 2; | ||
self.dat[k] = (self.op)(self.dat[2 * k + 1], self.dat[2 * k + 2]); | ||
} | ||
} | ||
// [a, b) (half-inclusive) | ||
// http://proc-cpuinfo.fixstars.com/2017/07/optimize-segment-tree/ | ||
#[allow(unused)] | ||
pub fn query(&self, rng: std::ops::Range<usize>) -> I { | ||
let (mut a, mut b) = (rng.start, rng.end); | ||
debug_assert!(a <= b); | ||
debug_assert!(b <= self.orign); | ||
let mut left = self.e; | ||
let mut right = self.e; | ||
a += self.n - 1; | ||
b += self.n - 1; | ||
while a < b { | ||
if (a & 1) == 0 { | ||
left = (self.op)(left, self.dat[a]); | ||
} | ||
if (b & 1) == 0 { | ||
right = (self.op)(self.dat[b - 1], right); | ||
} | ||
a = a / 2; | ||
b = (b - 1) / 2; | ||
} | ||
(self.op)(left, right) | ||
} | ||
} | ||
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/// 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<M> { pub x: i64, phantom: ::std::marker::PhantomData<M> } | ||
impl<M: Mod> ModInt<M> { | ||
// 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<M: Mod> Default for ModInt<M> { | ||
fn default() -> Self { Self::new_internal(0) } | ||
} | ||
impl<M: Mod, T: Into<ModInt<M>>> Add<T> for ModInt<M> { | ||
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<M: Mod, T: Into<ModInt<M>>> Sub<T> for ModInt<M> { | ||
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<M: Mod, T: Into<ModInt<M>>> Mul<T> for ModInt<M> { | ||
type Output = Self; | ||
fn mul(self, other: T) -> Self { ModInt::new(self.x * other.into().x % M::m()) } | ||
} | ||
impl<M: Mod, T: Into<ModInt<M>>> AddAssign<T> for ModInt<M> { | ||
fn add_assign(&mut self, other: T) { *self = *self + other; } | ||
} | ||
impl<M: Mod, T: Into<ModInt<M>>> SubAssign<T> for ModInt<M> { | ||
fn sub_assign(&mut self, other: T) { *self = *self - other; } | ||
} | ||
impl<M: Mod, T: Into<ModInt<M>>> MulAssign<T> for ModInt<M> { | ||
fn mul_assign(&mut self, other: T) { *self = *self * other; } | ||
} | ||
impl<M: Mod> Neg for ModInt<M> { | ||
type Output = Self; | ||
fn neg(self) -> Self { ModInt::new(0) - self } | ||
} | ||
impl<M> ::std::fmt::Display for ModInt<M> { | ||
fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result { | ||
self.x.fmt(f) | ||
} | ||
} | ||
impl<M: Mod> From<i64> for ModInt<M> { | ||
fn from(x: i64) -> Self { Self::new(x) } | ||
} | ||
} // mod mod_int | ||
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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 { $modulo } } | ||
} | ||
} | ||
const MOD: i64 = 998_244_353; | ||
define_mod!(P, MOD); | ||
type MInt = mod_int::ModInt<P>; | ||
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// Depends on MInt.rs | ||
fn fact_init(w: usize) -> (Vec<MInt>, Vec<MInt>) { | ||
let mut fac = vec![MInt::new(1); w]; | ||
let mut invfac = vec![0.into(); w]; | ||
for i in 1..w { | ||
fac[i] = fac[i - 1] * i as i64; | ||
} | ||
invfac[w - 1] = fac[w - 1].inv(); | ||
for i in (0..w - 1).rev() { | ||
invfac[i] = invfac[i + 1] * (i as i64 + 1); | ||
} | ||
(fac, invfac) | ||
} | ||
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fn main() { | ||
input! { | ||
n: usize, | ||
p: [usize; n], | ||
} | ||
let (fac, invfac) = fact_init(n + 1); | ||
let mut st = SegTree::new(n, |x, y| x + y, 0); | ||
let mut ans = MInt::new(0); | ||
for i in 0..n { | ||
let a = st.query(0..p[i] - 1); | ||
let b = i - a; | ||
let c = p[i] - 1 - a; | ||
let d = n - 1 - i - c; | ||
ans += fac[a + d] * invfac[a] * invfac[d] * fac[b + c] * invfac[b] * invfac[c]; | ||
st.update(p[i] - 1, 1); | ||
} | ||
println!("{}", ans); | ||
} |
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// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 | ||
macro_rules! input { | ||
($($r:tt)*) => { | ||
let stdin = std::io::stdin(); | ||
let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); | ||
let mut next = move || -> String{ | ||
bytes.by_ref().map(|r|r.unwrap() as char) | ||
.skip_while(|c|c.is_whitespace()) | ||
.take_while(|c|!c.is_whitespace()) | ||
.collect() | ||
}; | ||
input_inner!{next, $($r)*} | ||
}; | ||
} | ||
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macro_rules! input_inner { | ||
($next:expr) => {}; | ||
($next:expr,) => {}; | ||
($next:expr, $var:ident : $t:tt $($r:tt)*) => { | ||
let $var = read_value!($next, $t); | ||
input_inner!{$next $($r)*} | ||
}; | ||
} | ||
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macro_rules! read_value { | ||
($next:expr, [ $t:tt ; $len:expr ]) => { | ||
(0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>() | ||
}; | ||
($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); | ||
} | ||
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// Tags: staircase-nim | ||
fn main() { | ||
input! { | ||
n: usize, | ||
x: [i64; n], | ||
} | ||
let mut g = 0; | ||
for i in 0..(n + 1) / 2 { | ||
g ^= x[n - 2 * i - 1] - if 2 * i + 2 > n { 0 } else { x[n - 2 * i - 2] }; | ||
} | ||
println!("{}", if g == 0 { "Second" } else { "First" }); | ||
} |