結果
| 問題 |
No.2611 Count 01
|
| コンテスト | |
| ユーザー |
 akakimidori
|
| 提出日時 | 2025-08-17 12:03:37 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
AC
|
| 実行時間 | 718 ms / 6,000 ms |
| コード長 | 27,240 bytes |
| コンパイル時間 | 12,780 ms |
| コンパイル使用メモリ | 393,952 KB |
| 実行使用メモリ | 55,412 KB |
| 最終ジャッジ日時 | 2025-08-17 12:04:07 |
| 合計ジャッジ時間 | 29,848 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 20 |
コンパイルメッセージ
warning: type alias `Map` is never used --> src/main.rs:80:6 | 80 | type Map<K, V> = BTreeMap<K, V>; | ^^^ | = note: `#[warn(dead_code)]` on by default warning: type alias `Set` is never used --> src/main.rs:81:6 | 81 | type Set<T> = BTreeSet<T>; | ^^^ warning: type alias `Deque` is never used --> src/main.rs:82:6 | 82 | type Deque<T> = VecDeque<T>; | ^^^^^
ソースコード
fn run<W: Write>(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter<W>) {
let n: usize = sc.next();
let q: usize = sc.next();
let mut s = sc.next_bytes();
type M = ModInt<998244353>;
const N: usize = 4;
type T = (Matrix<M, N, N>, Matrix<M, 1, N>, Matrix<M, N, 1>, Matrix<M, 1, 1>);
let mut ini = vec![];
let mut trans = Matrix::<M, N, N>::one();
let mut l = Matrix::<M, 1, N>::zero();
let mut r = Matrix::<M, N, 1>::zero();
let sum = Matrix::<M, 1, 1>::zero();
trans[0][1] = M::one();
trans[2][3] = M::one();
l[0][0] = M::one();
r[3][0] = M::one();
ini.push((trans, l * trans, trans * r, sum));
trans = one();
trans[0][2] = M::one();
trans[1][3] = M::one();
ini.push((trans, l * trans, trans * r, sum));
let mut seg = SegmentTreePURQ::new(n, (one(), zero(), zero(), zero()), |a: &T, b| {
let trans = a.0 * b.0;
let l = a.1 * b.0 + b.1;
let r = a.2 + a.0 * b.2;
let s = a.3 + b.3 + a.1 * b.2;
(trans, l, r, s)
});
for (i, s) in s.iter().enumerate() {
seg.update_tmp(i, ini[(*s - b'0') as usize]);
}
seg.update_all();
for _ in 0..q {
let op: u8 = sc.next();
if op == 1 {
let x = sc.next::<usize>() - 1;
s[x] ^= b'0' ^ b'1';
seg.update(x, ini[(s[x] - b'0') as usize]);
} else {
let l = sc.next::<usize>() - 1;
let r = sc.next::<usize>();
let ans = seg.find(l, r).3[0][0];
writeln!(out, "{}", ans).ok();
}
}
}
// ---------- begin scannner ----------
#[allow(dead_code)]
mod scanner {
use std::str::FromStr;
pub struct Scanner<'a> {
it: std::str::SplitWhitespace<'a>,
}
impl<'a> Scanner<'a> {
pub fn new(s: &'a String) -> Scanner<'a> {
Scanner {
it: s.split_whitespace(),
}
}
pub fn next<T: FromStr>(&mut self) -> T {
self.it.next().unwrap().parse::<T>().ok().unwrap()
}
pub fn next_bytes(&mut self) -> Vec<u8> {
self.it.next().unwrap().bytes().collect()
}
pub fn next_chars(&mut self) -> Vec<char> {
self.it.next().unwrap().chars().collect()
}
pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
(0..len).map(|_| self.next()).collect()
}
}
}
// ---------- end scannner ----------
use std::io::Write;
use std::collections::*;
type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;
fn main() {
use std::io::Read;
let mut s = String::new();
std::io::stdin().read_to_string(&mut s).unwrap();
let mut sc = scanner::Scanner::new(&s);
let out = std::io::stdout();
let mut out = std::io::BufWriter::new(out.lock());
run(&mut sc, &mut out);
}
// ---------- begin modint ----------
pub const fn pow_mod(mut r: u32, mut n: u32, m: u32) -> u32 {
let mut t = 1;
while n > 0 {
if n & 1 == 1 {
t = (t as u64 * r as u64 % m as u64) as u32;
}
r = (r as u64 * r as u64 % m as u64) as u32;
n >>= 1;
}
t
}
pub const fn primitive_root(p: u32) -> u32 {
let mut m = p - 1;
let mut f = [1; 30];
let mut k = 0;
let mut d = 2;
while d * d <= m {
if m % d == 0 {
f[k] = d;
k += 1;
}
while m % d == 0 {
m /= d;
}
d += 1;
}
if m > 1 {
f[k] = m;
k += 1;
}
let mut g = 1;
while g < p {
let mut ok = true;
let mut i = 0;
while i < k {
ok &= pow_mod(g, (p - 1) / f[i], p) > 1;
i += 1;
}
if ok {
break;
}
g += 1;
}
g
}
pub const fn is_prime(n: u32) -> bool {
if n <= 1 {
return false;
}
let mut d = 2;
while d * d <= n {
if n % d == 0 {
return false;
}
d += 1;
}
true
}
#[derive(Clone, Copy, PartialEq, Eq, Default)]
pub struct ModInt<const M: u32>(u32);
impl<const M: u32> ModInt<{ M }> {
const REM: u32 = {
let mut t = 1u32;
let mut s = !M + 1;
let mut n = !0u32 >> 2;
while n > 0 {
if n & 1 == 1 {
t = t.wrapping_mul(s);
}
s = s.wrapping_mul(s);
n >>= 1;
}
t
};
const INI: u64 = ((1u128 << 64) % M as u128) as u64;
const IS_PRIME: () = assert!(is_prime(M));
const PRIMITIVE_ROOT: u32 = primitive_root(M);
const ORDER: usize = 1 << (M - 1).trailing_zeros();
const fn reduce(x: u64) -> u32 {
let _ = Self::IS_PRIME;
let b = (x as u32 * Self::REM) as u64;
let t = x + b * M as u64;
let mut c = (t >> 32) as u32;
if c >= M {
c -= M;
}
c as u32
}
const fn multiply(a: u32, b: u32) -> u32 {
Self::reduce(a as u64 * b as u64)
}
pub const fn new(v: u32) -> Self {
assert!(v < M);
Self(Self::reduce(v as u64 * Self::INI))
}
pub const fn const_mul(&self, rhs: Self) -> Self {
Self(Self::multiply(self.0, rhs.0))
}
pub const fn pow(&self, mut n: u64) -> Self {
let mut t = Self::new(1);
let mut r = *self;
while n > 0 {
if n & 1 == 1 {
t = t.const_mul(r);
}
r = r.const_mul(r);
n >>= 1;
}
t
}
pub const fn inv(&self) -> Self {
assert!(self.0 != 0);
self.pow(M as u64 - 2)
}
pub const fn get(&self) -> u32 {
Self::reduce(self.0 as u64)
}
pub const fn zero() -> Self {
Self::new(0)
}
pub const fn one() -> Self {
Self::new(1)
}
}
impl<const M: u32> Add for ModInt<{ M }> {
type Output = Self;
fn add(self, rhs: Self) -> Self::Output {
let mut v = self.0 + rhs.0;
if v >= M {
v -= M;
}
Self(v)
}
}
impl<const M: u32> Sub for ModInt<{ M }> {
type Output = Self;
fn sub(self, rhs: Self) -> Self::Output {
let mut v = self.0 - rhs.0;
if self.0 < rhs.0 {
v += M;
}
Self(v)
}
}
impl<const M: u32> Mul for ModInt<{ M }> {
type Output = Self;
fn mul(self, rhs: Self) -> Self::Output {
self.const_mul(rhs)
}
}
impl<const M: u32> Div for ModInt<{ M }> {
type Output = Self;
fn div(self, rhs: Self) -> Self::Output {
self * rhs.inv()
}
}
impl<const M: u32> AddAssign for ModInt<{ M }> {
fn add_assign(&mut self, rhs: Self) {
*self = *self + rhs;
}
}
impl<const M: u32> SubAssign for ModInt<{ M }> {
fn sub_assign(&mut self, rhs: Self) {
*self = *self - rhs;
}
}
impl<const M: u32> MulAssign for ModInt<{ M }> {
fn mul_assign(&mut self, rhs: Self) {
*self = *self * rhs;
}
}
impl<const M: u32> DivAssign for ModInt<{ M }> {
fn div_assign(&mut self, rhs: Self) {
*self = *self / rhs;
}
}
impl<const M: u32> Neg for ModInt<{ M }> {
type Output = Self;
fn neg(self) -> Self::Output {
if self.0 == 0 {
self
} else {
Self(M - self.0)
}
}
}
impl<const M: u32> std::fmt::Display for ModInt<{ M }> {
fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
write!(f, "{}", self.get())
}
}
impl<const M: u32> std::fmt::Debug for ModInt<{ M }> {
fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
write!(f, "{}", self.get())
}
}
impl<const M: u32> std::str::FromStr for ModInt<{ M }> {
type Err = std::num::ParseIntError;
fn from_str(s: &str) -> Result<Self, Self::Err> {
let val = s.parse::<u32>()?;
Ok(ModInt::new(val))
}
}
impl<const M: u32> From<usize> for ModInt<{ M }> {
fn from(val: usize) -> ModInt<{ M }> {
ModInt::new((val % M as usize) as u32)
}
}
// ---------- end modint ----------
// ---------- begin precalc ----------
pub struct Precalc<const MOD: u32> {
fact: Vec<ModInt<MOD>>,
ifact: Vec<ModInt<MOD>>,
inv: Vec<ModInt<MOD>>,
}
impl<const MOD: u32> Precalc<MOD> {
pub fn new(size: usize) -> Self {
let mut fact = vec![ModInt::one(); size + 1];
let mut ifact = vec![ModInt::one(); size + 1];
let mut inv = vec![ModInt::one(); size + 1];
for i in 2..=size {
fact[i] = fact[i - 1] * ModInt::from(i);
}
ifact[size] = fact[size].inv();
for i in (2..=size).rev() {
inv[i] = ifact[i] * fact[i - 1];
ifact[i - 1] = ifact[i] * ModInt::from(i);
}
Self { fact, ifact, inv }
}
pub fn fact(&self, n: usize) -> ModInt<MOD> {
self.fact[n]
}
pub fn ifact(&self, n: usize) -> ModInt<MOD> {
self.ifact[n]
}
pub fn inv(&self, n: usize) -> ModInt<MOD> {
assert!(0 < n);
self.inv[n]
}
pub fn perm(&self, n: usize, k: usize) -> ModInt<MOD> {
if k > n {
return ModInt::zero();
}
self.fact[n] * self.ifact[n - k]
}
pub fn binom(&self, n: usize, k: usize) -> ModInt<MOD> {
if n < k {
return ModInt::zero();
}
self.fact[n] * self.ifact[k] * self.ifact[n - k]
}
}
// ---------- end precalc ----------
impl<const M: u32> Zero for ModInt<{ M }> {
fn zero() -> Self {
Self::zero()
}
fn is_zero(&self) -> bool {
self.0 == 0
}
}
impl<const M: u32> One for ModInt<{ M }> {
fn one() -> Self {
Self::one()
}
fn is_one(&self) -> bool {
self.get() == 1
}
}
// ---------- begin array op ----------
struct NTTPrecalc<const M: u32> {
sum_e: [ModInt<{ M }>; 30],
sum_ie: [ModInt<{ M }>; 30],
}
impl<const M: u32> NTTPrecalc<{ M }> {
const fn new() -> Self {
let cnt2 = (M - 1).trailing_zeros() as usize;
let root = ModInt::new(ModInt::<{ M }>::PRIMITIVE_ROOT);
let zeta = root.pow((M - 1) as u64 >> cnt2);
let mut es = [ModInt::zero(); 30];
let mut ies = [ModInt::zero(); 30];
let mut sum_e = [ModInt::zero(); 30];
let mut sum_ie = [ModInt::zero(); 30];
let mut e = zeta;
let mut ie = e.inv();
let mut i = cnt2;
while i >= 2 {
es[i - 2] = e;
ies[i - 2] = ie;
e = e.const_mul(e);
ie = ie.const_mul(ie);
i -= 1;
}
let mut now = ModInt::one();
let mut inow = ModInt::one();
let mut i = 0;
while i < cnt2 - 1 {
sum_e[i] = es[i].const_mul(now);
sum_ie[i] = ies[i].const_mul(inow);
now = ies[i].const_mul(now);
inow = es[i].const_mul(inow);
i += 1;
}
Self { sum_e, sum_ie }
}
}
struct NTTPrecalcHelper<const MOD: u32>;
impl<const MOD: u32> NTTPrecalcHelper<MOD> {
const A: NTTPrecalc<MOD> = NTTPrecalc::new();
}
pub trait ArrayAdd {
type Item;
fn add(&self, rhs: &[Self::Item]) -> Vec<Self::Item>;
}
impl<T> ArrayAdd for [T]
where
T: Zero + Copy,
{
type Item = T;
fn add(&self, rhs: &[Self::Item]) -> Vec<Self::Item> {
let mut c = vec![T::zero(); self.len().max(rhs.len())];
c[..self.len()].copy_from_slice(self);
c.add_assign(rhs);
c
}
}
pub trait ArrayAddAssign {
type Item;
fn add_assign(&mut self, rhs: &[Self::Item]);
}
impl<T> ArrayAddAssign for [T]
where
T: Add<Output = T> + Copy,
{
type Item = T;
fn add_assign(&mut self, rhs: &[Self::Item]) {
assert!(self.len() >= rhs.len());
self.iter_mut().zip(rhs).for_each(|(x, a)| *x = *x + *a);
}
}
impl<T> ArrayAddAssign for Vec<T>
where
T: Zero + Add<Output = T> + Copy,
{
type Item = T;
fn add_assign(&mut self, rhs: &[Self::Item]) {
if self.len() < rhs.len() {
self.resize(rhs.len(), T::zero());
}
self.as_mut_slice().add_assign(rhs);
}
}
pub trait ArraySub {
type Item;
fn sub(&self, rhs: &[Self::Item]) -> Vec<Self::Item>;
}
impl<T> ArraySub for [T]
where
T: Zero + Sub<Output = T> + Copy,
{
type Item = T;
fn sub(&self, rhs: &[Self::Item]) -> Vec<Self::Item> {
let mut c = vec![T::zero(); self.len().max(rhs.len())];
c[..self.len()].copy_from_slice(self);
c.sub_assign(rhs);
c
}
}
pub trait ArraySubAssign {
type Item;
fn sub_assign(&mut self, rhs: &[Self::Item]);
}
impl<T> ArraySubAssign for [T]
where
T: Sub<Output = T> + Copy,
{
type Item = T;
fn sub_assign(&mut self, rhs: &[Self::Item]) {
assert!(self.len() >= rhs.len());
self.iter_mut().zip(rhs).for_each(|(x, a)| *x = *x - *a);
}
}
impl<T> ArraySubAssign for Vec<T>
where
T: Zero + Sub<Output = T> + Copy,
{
type Item = T;
fn sub_assign(&mut self, rhs: &[Self::Item]) {
if self.len() < rhs.len() {
self.resize(rhs.len(), T::zero());
}
self.as_mut_slice().sub_assign(rhs);
}
}
pub trait ArrayDot {
type Item;
fn dot(&self, rhs: &[Self::Item]) -> Vec<Self::Item>;
}
impl<T> ArrayDot for [T]
where
T: Mul<Output = T> + Copy,
{
type Item = T;
fn dot(&self, rhs: &[Self::Item]) -> Vec<Self::Item> {
assert!(self.len() == rhs.len());
self.iter().zip(rhs).map(|p| *p.0 * *p.1).collect()
}
}
pub trait ArrayDotAssign {
type Item;
fn dot_assign(&mut self, rhs: &[Self::Item]);
}
impl<T> ArrayDotAssign for [T]
where
T: MulAssign + Copy,
{
type Item = T;
fn dot_assign(&mut self, rhs: &[Self::Item]) {
assert!(self.len() == rhs.len());
self.iter_mut().zip(rhs).for_each(|(x, a)| *x *= *a);
}
}
pub trait ArrayMul {
type Item;
fn mul(&self, rhs: &[Self::Item]) -> Vec<Self::Item>;
}
impl<T> ArrayMul for [T]
where
T: Zero + One + Copy,
{
type Item = T;
fn mul(&self, rhs: &[Self::Item]) -> Vec<Self::Item> {
if self.is_empty() || rhs.is_empty() {
return vec![];
}
let mut res = vec![T::zero(); self.len() + rhs.len() - 1];
for (i, a) in self.iter().enumerate() {
for (res, b) in res[i..].iter_mut().zip(rhs.iter()) {
*res = *res + *a * *b;
}
}
res
}
}
// transform でlen=1を指定すればNTTになる
pub trait ArrayConvolution {
type Item;
fn transform(&mut self, len: usize);
fn inverse_transform(&mut self, len: usize);
fn convolution(&self, rhs: &[Self::Item]) -> Vec<Self::Item>;
}
impl<const M: u32> ArrayConvolution for [ModInt<{ M }>] {
type Item = ModInt<{ M }>;
fn transform(&mut self, len: usize) {
let f = self;
let n = f.len();
let k = (n / len).trailing_zeros() as usize;
assert!(len << k == n);
assert!(k <= ModInt::<{ M }>::ORDER);
let pre = &NTTPrecalcHelper::<{ M }>::A;
for ph in 1..=k {
let p = len << (k - ph);
let mut now = ModInt::one();
for (i, f) in f.chunks_exact_mut(2 * p).enumerate() {
let (x, y) = f.split_at_mut(p);
for (x, y) in x.iter_mut().zip(y.iter_mut()) {
let l = *x;
let r = *y * now;
*x = l + r;
*y = l - r;
}
now *= pre.sum_e[(!i).trailing_zeros() as usize];
}
}
}
fn inverse_transform(&mut self, len: usize) {
let f = self;
let n = f.len();
let k = (n / len).trailing_zeros() as usize;
assert!(len << k == n);
assert!(k <= ModInt::<{ M }>::ORDER);
let pre = &NTTPrecalcHelper::<{ M }>::A;
for ph in (1..=k).rev() {
let p = len << (k - ph);
let mut inow = ModInt::one();
for (i, f) in f.chunks_exact_mut(2 * p).enumerate() {
let (x, y) = f.split_at_mut(p);
for (x, y) in x.iter_mut().zip(y.iter_mut()) {
let l = *x;
let r = *y;
*x = l + r;
*y = (l - r) * inow;
}
inow *= pre.sum_ie[(!i).trailing_zeros() as usize];
}
}
let ik = ModInt::new(2).inv().pow(k as u64);
for f in f.iter_mut() {
*f *= ik;
}
}
fn convolution(&self, rhs: &[Self::Item]) -> Vec<Self::Item> {
if self.len().min(rhs.len()) <= 32 {
return self.mul(rhs);
}
const PARAM: usize = 10;
let size = self.len() + rhs.len() - 1;
let mut k = 0;
while (size + (1 << k) - 1) >> k > PARAM {
k += 1;
}
let len = (size + (1 << k) - 1) >> k;
let mut f = vec![ModInt::zero(); len << k];
let mut g = vec![ModInt::zero(); len << k];
f[..self.len()].copy_from_slice(self);
g[..rhs.len()].copy_from_slice(rhs);
f.transform(len);
g.transform(len);
let mut buf = [ModInt::zero(); 2 * PARAM - 1];
let buf = &mut buf[..(2 * len - 1)];
let pre = &NTTPrecalcHelper::<{ M }>::A;
let mut now = ModInt::one();
for (i, (f, g)) in f
.chunks_exact_mut(2 * len)
.zip(g.chunks_exact(2 * len))
.enumerate()
{
let mut r = now;
for (f, g) in f.chunks_exact_mut(len).zip(g.chunks_exact(len)) {
buf.fill(ModInt::zero());
for (i, f) in f.iter().enumerate() {
for (buf, g) in buf[i..].iter_mut().zip(g.iter()) {
*buf = *buf + *f * *g;
}
}
f.copy_from_slice(&buf[..len]);
for (f, buf) in f.iter_mut().zip(buf[len..].iter()) {
*f = *f + r * *buf;
}
r = -r;
}
now *= pre.sum_e[(!i).trailing_zeros() as usize];
}
f.inverse_transform(len);
f.truncate(self.len() + rhs.len() - 1);
f
}
}
// ---------- end array op ----------
// ---------- begin trait ----------
use std::ops::*;
pub trait Zero: Sized + Add<Self, Output = Self> {
fn zero() -> Self;
fn is_zero(&self) -> bool;
}
pub trait One: Sized + Mul<Self, Output = Self> {
fn one() -> Self;
fn is_one(&self) -> bool;
}
pub trait Group: Zero + Sub<Output = Self> + Neg<Output = Self> {}
pub trait SemiRing: Zero + One {}
pub trait Ring: SemiRing + Group {}
pub trait Field: Ring + Div<Output = Self> {}
impl<T> Group for T where T: Zero + Sub<Output = Self> + Neg<Output = Self> {}
impl<T> SemiRing for T where T: Zero + One {}
impl<T> Ring for T where T: SemiRing + Group {}
impl<T> Field for T where T: Ring + Div<Output = Self> {}
pub fn zero<T: Zero>() -> T {
T::zero()
}
pub fn one<T: One>() -> T {
T::one()
}
pub fn pow<T: One + Clone>(mut r: T, mut n: usize) -> T {
let mut t = one();
while n > 0 {
if n & 1 == 1 {
t = t * r.clone();
}
r = r.clone() * r;
n >>= 1;
}
t
}
pub fn pow_sum<T: SemiRing + Clone>(r: T, n: usize) -> T {
if n == 0 {
T::zero()
} else if n & 1 == 1 {
T::one() + r.clone() * pow_sum(r, n - 1)
} else {
let a = T::one() + r.clone();
let b = r.clone() * r;
a * pow_sum(b, n / 2)
}
}
// ---------- end trait ----------
// ---------- begin segment tree Point Update Range Query ----------
pub struct SegmentTreePURQ<T, F> {
n: usize,
size: usize,
data: Vec<T>,
e: T,
op: F,
}
impl<T, F> SegmentTreePURQ<T, F>
where
T: Clone,
F: Fn(&T, &T) -> T,
{
pub fn new(n: usize, e: T, op: F) -> Self {
assert!(n > 0);
let size = n.next_power_of_two();
let data = vec![e.clone(); 2 * size];
SegmentTreePURQ {
n,
size,
data,
e,
op,
}
}
pub fn update_tmp(&mut self, x: usize, v: T) {
assert!(x < self.n);
self.data[x + self.size] = v;
}
pub fn update_all(&mut self) {
for i in (1..self.size).rev() {
self.data[i] = (self.op)(&self.data[2 * i], &self.data[2 * i + 1]);
}
}
pub fn update(&mut self, x: usize, v: T) {
assert!(x < self.n);
let mut x = x + self.size;
self.data[x] = v;
x >>= 1;
while x > 0 {
self.data[x] = (self.op)(&self.data[2 * x], &self.data[2 * x + 1]);
x >>= 1;
}
}
pub fn find(&self, l: usize, r: usize) -> T {
assert!(l <= r && r <= self.n);
if l == r {
return self.e.clone();
}
let mut l = self.size + l;
let mut r = self.size + r;
let mut x = self.e.clone();
let mut y = self.e.clone();
while l < r {
if l & 1 == 1 {
x = (self.op)(&x, &self.data[l]);
l += 1;
}
if r & 1 == 1 {
r -= 1;
y = (self.op)(&self.data[r], &y);
}
l >>= 1;
r >>= 1;
}
(self.op)(&x, &y)
}
pub fn max_right<P>(&self, l: usize, f: P) -> usize
where
P: Fn(&T) -> bool,
{
assert!(l <= self.n);
assert!(f(&self.e));
if l == self.n {
return self.n;
}
let mut l = l + self.size;
let mut sum = self.e.clone();
while {
l >>= l.trailing_zeros();
let v = (self.op)(&sum, &self.data[l]);
if !f(&v) {
while l < self.size {
l <<= 1;
let v = (self.op)(&sum, &self.data[l]);
if f(&v) {
sum = v;
l += 1;
}
}
return l - self.size;
}
sum = v;
l += 1;
l.count_ones() > 1
} {}
self.n
}
pub fn min_left<P>(&self, r: usize, f: P) -> usize
where
P: Fn(&T) -> bool,
{
assert!(r <= self.n);
assert!(f(&self.e));
if r == 0 {
return 0;
}
let mut r = r + self.size;
let mut sum = self.e.clone();
while {
r -= 1;
while r > 1 && r & 1 == 1 {
r >>= 1;
}
let v = (self.op)(&self.data[r], &sum);
if !f(&v) {
while r < self.size {
r = 2 * r + 1;
let v = (self.op)(&self.data[r], &sum);
if f(&v) {
sum = v;
r -= 1;
}
}
return r + 1 - self.size;
}
sum = v;
(r & (!r + 1)) != r
} {}
0
}
}
// ---------- end segment tree Point Update Range Query ----------
// ---------- begin const matrix ----------
#[derive(Clone, Copy, Debug)]
pub struct Matrix<T, const R: usize, const C: usize>([[T; C]; R]);
impl<T, const R: usize, const C: usize> Matrix<T, R, C> {
pub fn new(a: [[T; C]; R]) -> Self {
Self(a)
}
pub fn swap_row(&mut self, x: usize, y: usize) {
assert!(x < R && y < R);
self.0.swap(x, y);
}
pub fn swap_col(&mut self, x: usize, y: usize) {
assert!(x < C && y < C);
for mat in self.iter_mut() {
mat.swap(x, y);
}
}
}
impl<T, const R: usize, const C: usize> Matrix<T, R, C>
where
T: Mul<Output = T> + Copy,
{
pub fn scalar(&self, k: T) -> Self {
let mut res = *self;
for a in res.iter_mut().flatten() {
*a = *a * k;
}
res
}
}
impl<T, const R: usize, const C: usize> Zero for Matrix<T, R, C>
where
T: Zero + Copy,
{
fn zero() -> Self {
Self::new([[T::zero(); C]; R])
}
fn is_zero(&self) -> bool {
self.iter().flatten().all(|a| a.is_zero())
}
}
impl<T, const N: usize> One for Matrix<T, N, N>
where
T: Zero + One + Copy,
{
fn one() -> Self {
let mut res = Self::zero();
for (i, a) in res.iter_mut().enumerate() {
a[i] = T::one();
}
res
}
fn is_one(&self) -> bool {
self.iter().enumerate().all(|(i, a)| {
a.iter()
.enumerate()
.all(|(j, a)| (i == j && a.is_one()) || (i != j && a.is_zero()))
})
}
}
impl<T, const R: usize, const C: usize> AddAssign for Matrix<T, R, C>
where
T: Add<Output = T> + Copy,
{
fn add_assign(&mut self, rhs: Self) {
for (a, b) in self.iter_mut().zip(rhs.iter()) {
for (a, b) in a.iter_mut().zip(b.iter()) {
*a = *a + *b;
}
}
}
}
impl<T, const R: usize, const C: usize> SubAssign for Matrix<T, R, C>
where
T: Sub<Output = T> + Copy,
{
fn sub_assign(&mut self, rhs: Self) {
for (a, b) in self.iter_mut().zip(rhs.iter()) {
for (a, b) in a.iter_mut().zip(b.iter()) {
*a = *a - *b;
}
}
}
}
impl<T, const R: usize, const C: usize> Add for Matrix<T, R, C>
where
T: Add<Output = T> + Copy,
{
type Output = Self;
fn add(mut self, rhs: Self) -> Self::Output {
self += rhs;
self
}
}
impl<T, const R: usize, const C: usize> Sub for Matrix<T, R, C>
where
T: Sub<Output = T> + Copy,
{
type Output = Self;
fn sub(mut self, rhs: Self) -> Self::Output {
self -= rhs;
self
}
}
impl<T, const ROW: usize, const COL: usize> Matrix<T, ROW, COL>
where
T: Zero + Mul<Output = T> + Copy,
{
pub fn matmul<const NCOL: usize>(&self, rhs: &Matrix<T, COL, NCOL>) -> Matrix<T, ROW, NCOL> {
let mut res = Matrix::<T, ROW, NCOL>::zero();
for (res, a) in res.iter_mut().zip(self.iter()) {
for (a, b) in a.iter().zip(rhs.iter()) {
for (res, b) in res.iter_mut().zip(b.iter()) {
*res = *res + *a * *b;
}
}
}
res
}
}
impl<T, const ROW: usize, const COL: usize, const MID: usize> Mul<Matrix<T, MID, COL>>
for Matrix<T, ROW, MID>
where
T: Zero + Mul<Output = T> + Copy,
{
type Output = Matrix<T, ROW, COL>;
fn mul(self, rhs: Matrix<T, MID, COL>) -> Self::Output {
self.matmul(&rhs)
}
}
impl<T, const R: usize, const C: usize> MulAssign<Matrix<T, C, C>> for Matrix<T, R, C>
where
T: Zero + Mul<Output = T> + Copy,
{
fn mul_assign(&mut self, rhs: Matrix<T, C, C>) {
*self = self.matmul(&rhs);
}
}
impl<T, const R: usize, const C: usize> Deref for Matrix<T, R, C> {
type Target = [[T; C]; R];
fn deref(&self) -> &Self::Target {
&self.0
}
}
impl<T, const R: usize, const C: usize> DerefMut for Matrix<T, R, C> {
fn deref_mut(&mut self) -> &mut Self::Target {
&mut self.0
}
}
// ---------- end const matrix ----------