結果

問題 No.2260 Adic Sum
ユーザー cotton_fn_cotton_fn_
提出日時 2023-04-07 22:47:08
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 76 ms / 2,000 ms
コード長 24,285 bytes
コンパイル時間 13,310 ms
コンパイル使用メモリ 405,084 KB
実行使用メモリ 6,824 KB
最終ジャッジ日時 2024-10-06 07:22:00
合計ジャッジ時間 15,474 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
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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 1 ms
6,820 KB
testcase_01 AC 1 ms
6,820 KB
testcase_02 AC 1 ms
6,816 KB
testcase_03 AC 1 ms
6,820 KB
testcase_04 AC 1 ms
6,820 KB
testcase_05 AC 1 ms
6,820 KB
testcase_06 AC 1 ms
6,820 KB
testcase_07 AC 1 ms
6,820 KB
testcase_08 AC 1 ms
6,816 KB
testcase_09 AC 1 ms
6,820 KB
testcase_10 AC 1 ms
6,816 KB
testcase_11 AC 1 ms
6,816 KB
testcase_12 AC 1 ms
6,816 KB
testcase_13 AC 1 ms
6,820 KB
testcase_14 AC 5 ms
6,820 KB
testcase_15 AC 5 ms
6,816 KB
testcase_16 AC 4 ms
6,820 KB
testcase_17 AC 8 ms
6,816 KB
testcase_18 AC 46 ms
6,820 KB
testcase_19 AC 50 ms
6,816 KB
testcase_20 AC 34 ms
6,816 KB
testcase_21 AC 35 ms
6,816 KB
testcase_22 AC 30 ms
6,824 KB
testcase_23 AC 26 ms
6,816 KB
testcase_24 AC 51 ms
6,816 KB
testcase_25 AC 9 ms
6,816 KB
testcase_26 AC 9 ms
6,820 KB
testcase_27 AC 10 ms
6,816 KB
testcase_28 AC 10 ms
6,816 KB
testcase_29 AC 9 ms
6,816 KB
testcase_30 AC 11 ms
6,816 KB
testcase_31 AC 66 ms
6,820 KB
testcase_32 AC 65 ms
6,816 KB
testcase_33 AC 11 ms
6,820 KB
testcase_34 AC 25 ms
6,816 KB
testcase_35 AC 76 ms
6,820 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#![allow(unused_imports)]
use input::*;
use std::{
    collections::*,
    io::{self, BufWriter, Read, Write},
};
fn run<I: Input, O: Write>(mut ss: I, mut out: O) {
    let t: u32 = 1;
    for _ in 0..t {
        case(&mut ss, &mut out);
    }
}
fn case<I: Input, O: Write>(mut ss: I, mut out: O) {
    use modint2::*;
    let n: usize = ss.parse();
    let p: u32 = ss.parse();
    let a: Vec<u32> = ss.seq().take(n).collect();
    let mut ans = 0;
    let mut map = HashMap::new();
    let mut pp = p;
    while pp <= 1000000000 {
        map.clear();
        set_var_mod(pp);
        for &a in &a {
            let e = map.entry(var_mint(a)).or_insert(0);
            ans += *e as i64;
            *e += 1;
        }
        pp = pp.saturating_mul(p);
    }
    wln!(out, "{}", ans);
}
fn main() {
    let stdin = io::stdin();
    let ss = SplitWs::new(stdin.lock());
    let stdout = io::stdout();
    let out = BufWriter::new(stdout.lock());
    run(ss, out);
}
pub mod input {
    use std::{
        io::{self, prelude::*},
        marker::PhantomData,
    };
    #[macro_export]
    macro_rules ! input { ($ src : expr , $ ($ var : ident $ (($ count : expr $ (, $ map : expr) ?)) ? $ (: $ ty : ty) ?) ,* $ (,) ?) => { $ (input ! (@ $ src , $ var $ (($ count $ (, $ map) ?)) ? $ (: $ ty) ?) ;) * } ; (@ $ src : expr , $ var : ident $ (: $ ty : ty) ?) => { let $ var $ (: $ ty) ? = $ src . parse () ; } ; (@ $ src : expr , $ var : ident ($ count : expr) : $ ($ ty : ty) ?) => { let $ var $ (: $ ty) ? = $ src . seq () . take ($ count) . collect () ; } ; (@ $ src : expr , $ var : ident ($ count : expr , $ map : expr) : $ ($ ty : ty) ?) => { let $ var $ (: $ ty) ? = $ src . seq () . take ($ count) . map ($ map) . collect () ; } ; }
    pub trait Input {
        fn bytes(&mut self) -> &[u8];
        fn bytes_vec(&mut self) -> Vec<u8> {
            self.bytes().to_vec()
        }
        fn str(&mut self) -> &str {
            std::str::from_utf8(self.bytes()).unwrap()
        }
        fn parse<T: Parse>(&mut self) -> T {
            self.parse_with(DefaultParser)
        }
        fn parse_with<T>(&mut self, mut parser: impl Parser<T>) -> T {
            parser.parse(self)
        }
        fn seq<T: Parse>(&mut self) -> Seq<T, Self, DefaultParser> {
            self.seq_with(DefaultParser)
        }
        fn seq_with<T, P: Parser<T>>(&mut self, parser: P) -> Seq<T, Self, P> {
            Seq {
                input: self,
                parser,
                marker: PhantomData,
            }
        }
        fn collect<T: Parse, C: std::iter::FromIterator<T>>(&mut self, n: usize) -> C {
            self.seq().take(n).collect()
        }
    }
    impl<T: Input> Input for &mut T {
        fn bytes(&mut self) -> &[u8] {
            (**self).bytes()
        }
    }
    pub trait Parser<T> {
        fn parse<I: Input + ?Sized>(&mut self, s: &mut I) -> T;
    }
    impl<T, P: Parser<T>> Parser<T> for &mut P {
        fn parse<I: Input + ?Sized>(&mut self, s: &mut I) -> T {
            (**self).parse(s)
        }
    }
    pub trait Parse {
        fn parse<I: Input + ?Sized>(s: &mut I) -> Self;
    }
    pub struct DefaultParser;
    impl<T: Parse> Parser<T> for DefaultParser {
        fn parse<I: Input + ?Sized>(&mut self, s: &mut I) -> T {
            T::parse(s)
        }
    }
    pub struct Seq<'a, T, I: ?Sized, P> {
        input: &'a mut I,
        parser: P,
        marker: PhantomData<*const T>,
    }
    impl<'a, T, I: Input + ?Sized, P: Parser<T>> Iterator for Seq<'a, T, I, P> {
        type Item = T;
        #[inline]
        fn next(&mut self) -> Option<Self::Item> {
            Some(self.input.parse_with(&mut self.parser))
        }
        fn size_hint(&self) -> (usize, Option<usize>) {
            (!0, None)
        }
    }
    impl Parse for char {
        #[inline]
        fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
            let s = s.bytes();
            debug_assert_eq!(s.len(), 1);
            *s.first().expect("zero length") as char
        }
    }
    macro_rules ! tuple { ($ ($ T : ident) ,*) => { impl <$ ($ T : Parse) ,*> Parse for ($ ($ T ,) *) { # [inline] # [allow (unused_variables)] # [allow (clippy :: unused_unit)] fn parse < I : Input + ? Sized > (s : & mut I) -> Self { ($ ($ T :: parse (s) ,) *) } } } ; }
    tuple!();
    tuple!(A);
    tuple!(A, B);
    tuple!(A, B, C);
    tuple!(A, B, C, D);
    tuple!(A, B, C, D, E);
    tuple!(A, B, C, D, E, F);
    tuple!(A, B, C, D, E, F, G);
    #[cfg(feature = "newer")]
    impl<T: Parse, const N: usize> Parse for [T; N] {
        fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
            use std::{
                mem::{self, MaybeUninit},
                ptr,
            };
            struct Guard<T, const N: usize> {
                arr: [MaybeUninit<T>; N],
                i: usize,
            }
            impl<T, const N: usize> Drop for Guard<T, N> {
                fn drop(&mut self) {
                    unsafe {
                        ptr::drop_in_place(&mut self.arr[..self.i] as *mut _ as *mut [T]);
                    }
                }
            }
            let mut g = Guard::<T, N> {
                arr: unsafe { MaybeUninit::uninit().assume_init() },
                i: 0,
            };
            while g.i < N {
                g.arr[g.i] = MaybeUninit::new(s.parse());
                g.i += 1;
            }
            unsafe { mem::transmute_copy(&g.arr) }
        }
    }
    macro_rules! uint {
        ($ ty : ty) => {
            impl Parse for $ty {
                #[inline]
                fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
                    let s = s.bytes();
                    s.iter().fold(0, |x, d| 10 * x + (0xf & d) as $ty)
                }
            }
        };
    }
    macro_rules! int {
        ($ ty : ty) => {
            impl Parse for $ty {
                #[inline]
                fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
                    let f = |s: &[u8]| {
                        s.iter()
                            .fold(0 as $ty, |x, d| (10 * x).wrapping_add((0xf & d) as $ty))
                    };
                    let s = s.bytes();
                    if let Some((b'-', s)) = s.split_first() {
                        f(s).wrapping_neg()
                    } else {
                        f(s)
                    }
                }
            }
        };
    }
    macro_rules! float {
        ($ ty : ty) => {
            impl Parse for $ty {
                fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
                    const POW: [$ty; 18] = [
                        1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
                        1e14, 1e15, 1e16, 1e17,
                    ];
                    let s = s.bytes();
                    let (minus, s) = if let Some((b'-', s)) = s.split_first() {
                        (true, s)
                    } else {
                        (false, s)
                    };
                    let (int, fract) = if let Some(p) = s.iter().position(|c| *c == b'.') {
                        (&s[..p], &s[p + 1..])
                    } else {
                        (s, &[][..])
                    };
                    let x = int
                        .iter()
                        .chain(fract)
                        .fold(0u64, |x, d| 10 * x + (0xf & *d) as u64);
                    let x = x as $ty;
                    let x = if minus { -x } else { x };
                    let exp = fract.len();
                    if exp == 0 {
                        x
                    } else if let Some(pow) = POW.get(exp) {
                        x / pow
                    } else {
                        x / (10.0 as $ty).powi(exp as i32)
                    }
                }
            }
        };
    }
    macro_rules! from_bytes {
        ($ ty : ty) => {
            impl Parse for $ty {
                #[inline]
                fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
                    s.bytes().into()
                }
            }
        };
    }
    macro_rules! from_str {
        ($ ty : ty) => {
            impl Parse for $ty {
                #[inline]
                fn parse<I: Input + ?Sized>(s: &mut I) -> Self {
                    s.str().into()
                }
            }
        };
    }
    macro_rules ! impls { ($ m : ident , $ ($ ty : ty) ,*) => { $ ($ m ! ($ ty) ;) * } ; }
    impls!(uint, usize, u8, u16, u32, u64, u128);
    impls!(int, isize, i8, i16, i32, i64, i128);
    impls!(float, f32, f64);
    impls!(from_bytes, Vec<u8>, Box<[u8]>);
    impls!(from_str, String);
    #[derive(Clone)]
    pub struct SplitWs<T> {
        src: T,
        buf: Vec<u8>,
        pos: usize,
        len: usize,
    }
    const BUF_SIZE: usize = 1 << 26;
    impl<T: Read> SplitWs<T> {
        pub fn new(src: T) -> Self {
            Self {
                src,
                buf: vec![0; BUF_SIZE],
                pos: 0,
                len: 0,
            }
        }
        #[inline(always)]
        fn peek(&self) -> &[u8] {
            unsafe { self.buf.get_unchecked(self.pos..self.len) }
        }
        #[inline(always)]
        fn consume(&mut self, n: usize) -> &[u8] {
            let pos = self.pos;
            self.pos += n;
            unsafe { self.buf.get_unchecked(pos..self.pos) }
        }
        fn read(&mut self) -> usize {
            self.buf.copy_within(self.pos..self.len, 0);
            self.len -= self.pos;
            self.pos = 0;
            if self.len == self.buf.len() {
                self.buf.resize(2 * self.buf.len(), 0);
            }
            loop {
                match self.src.read(&mut self.buf[self.len..]) {
                    Ok(n) => {
                        self.len += n;
                        return n;
                    }
                    Err(e) if e.kind() == io::ErrorKind::WouldBlock => {}
                    Err(e) => panic!("io error: {:?}", e),
                }
            }
        }
    }
    impl<T: Read> Input for SplitWs<T> {
        #[inline]
        fn bytes(&mut self) -> &[u8] {
            loop {
                if let Some(del) = self.peek().iter().position(|c| c.is_ascii_whitespace()) {
                    if del > 0 {
                        let s = self.consume(del + 1);
                        return s.split_last().unwrap().1;
                    } else {
                        self.consume(1);
                    }
                } else if self.read() == 0 {
                    return self.consume(self.len - self.pos);
                }
            }
        }
    }
}
pub mod macros {
    extern "C" {
        pub fn isatty(fd: i32) -> i32;
    }
    #[macro_export]
    macro_rules ! w { ($ dst : expr , $ ($ arg : tt) *) => { if cfg ! (debug_assertions) && unsafe { $ crate :: macros :: isatty (1) } != 0 { write ! ($ dst , "\x1B[1;33m") . unwrap () ; write ! ($ dst , $ ($ arg) *) . unwrap () ; write ! ($ dst , "\x1B[0m") . unwrap () ; } else { write ! ($ dst , $ ($ arg) *) . unwrap () ; } } }
    #[macro_export]
    macro_rules ! wln { ($ dst : expr $ (, $ ($ arg : tt) *) ?) => { { if cfg ! (debug_assertions) && unsafe { $ crate :: macros :: isatty (1) } != 0 { write ! ($ dst , "\x1B[1;33m") . unwrap () ; writeln ! ($ dst $ (, $ ($ arg) *) ?) . unwrap () ; write ! ($ dst , "\x1B[0m") . unwrap () ; } else { writeln ! ($ dst $ (, $ ($ arg) *) ?) . unwrap () ; } # [cfg (debug_assertions)] $ dst . flush () . unwrap () ; } } }
    #[macro_export]
    macro_rules! w_iter {
        ($ dst : expr , $ fmt : expr , $ iter : expr , $ delim : expr) => {{
            let mut first = true;
            for elem in $iter {
                if first {
                    w!($dst, $fmt, elem);
                    first = false;
                } else {
                    w!($dst, concat!($delim, $fmt), elem);
                }
            }
        }};
        ($ dst : expr , $ fmt : expr , $ iter : expr) => {
            w_iter!($dst, $fmt, $iter, " ")
        };
    }
    #[macro_export]
    macro_rules ! w_iter_ln { ($ dst : expr , $ ($ t : tt) *) => { { w_iter ! ($ dst , $ ($ t) *) ; wln ! ($ dst) ; } } }
    #[macro_export]
    macro_rules ! e { ($ ($ t : tt) *) => { # [cfg (debug_assertions)] eprint ! ($ ($ t) *) } }
    #[macro_export]
    macro_rules ! eln { ($ ($ t : tt) *) => { # [cfg (debug_assertions)] eprintln ! ($ ($ t) *) } }
    #[macro_export]
    #[doc(hidden)]
    macro_rules ! __tstr { ($ h : expr $ (, $ t : expr) +) => { concat ! (__tstr ! ($ ($ t) ,+) , ", " , __tstr ! (@)) } ; ($ h : expr) => { concat ! (__tstr ! () , " " , __tstr ! (@)) } ; () => { "\x1B[94m[{}:{}]\x1B[0m" } ; (@) => { "\x1B[1;92m{}\x1B[0m = {:?}" } }
    #[macro_export]
    macro_rules ! d { ($ ($ a : expr) ,*) => { if std :: env :: var ("ND") . map (| v | & v == "0") . unwrap_or (true) { eln ! (__tstr ! ($ ($ a) ,*) , file ! () , line ! () , $ (stringify ! ($ a) , $ a) ,*) ; } } ; }
}
pub mod modint2 {
    use std::{cell::Cell, cmp, fmt, hash::Hash, iter, marker::PhantomData, ops};
    #[inline]
    pub fn mint<const M: u32>(value: impl Into<ModInt<ConstMod<M>>>) -> ModInt<ConstMod<M>> {
        value.into()
    }
    #[inline]
    pub fn var_mint(value: impl Into<ModInt<VarMod>>) -> ModInt<VarMod> {
        value.into()
    }
    pub trait Modulo {
        fn modulo() -> u32;
        #[inline]
        fn rem32(x: u32) -> u32 {
            x % Self::modulo()
        }
        #[inline]
        fn rem64(x: u64) -> u32 {
            (x % Self::modulo() as u64) as u32
        }
    }
    pub struct ConstMod<const M: u32>;
    impl<const M: u32> Modulo for ConstMod<M> {
        #[inline]
        fn modulo() -> u32 {
            M
        }
    }
    #[inline]
    pub fn set_var_mod(m: u32) {
        BarrettReduction::new(m).store_thread();
    }
    pub struct VarMod;
    impl Modulo for VarMod {
        #[inline]
        fn modulo() -> u32 {
            BarrettReduction::load_thread().m
        }
        #[inline]
        fn rem32(x: u32) -> u32 {
            Self::rem64(x as u64) as u32
        }
        #[inline]
        fn rem64(x: u64) -> u32 {
            BarrettReduction::load_thread().rem(x)
        }
    }
    #[derive(Clone, Copy, Debug)]
    struct BarrettReduction {
        m: u32,
        e: u32,
        s: u64,
    }
    impl BarrettReduction {
        #[inline]
        pub fn new(m: u32) -> Self {
            assert_ne!(m, 0);
            assert_ne!(m, 1);
            let e = 31 - (m - 1).leading_zeros();
            Self {
                s: ((1u128 << (64 + e)) / m as u128) as u64 + (!m.is_power_of_two()) as u64,
                m,
                e,
            }
        }
        #[inline]
        pub fn div(&self, x: u64) -> u64 {
            ((self.s as u128 * x as u128) >> 64) as u64 >> self.e
        }
        #[inline]
        pub fn rem(&self, x: u64) -> u32 {
            (x - self.m as u64 * self.div(x)) as u32
        }
        #[inline]
        pub fn store_thread(self) {
            BR.with(|br| br.set(self));
        }
        #[inline]
        pub fn load_thread() -> Self {
            BR.with(|br| br.get())
        }
    }
    thread_local! { static BR : Cell < BarrettReduction > = Cell :: new (BarrettReduction { m : 0 , s : 0 , e : 0 }) ; }
    pub struct ModInt<M> {
        value: u32,
        marker: PhantomData<M>,
    }
    impl<M> ModInt<M> {
        #[inline]
        pub fn unnormalized(value: u32) -> Self {
            Self {
                value,
                marker: PhantomData,
            }
        }
        #[inline]
        pub fn get(self) -> u32 {
            self.value
        }
    }
    impl<M: Modulo> ModInt<M> {
        #[inline]
        pub fn new(value: u32) -> Self {
            Self::unnormalized(M::rem32(value))
        }
        #[inline]
        pub fn normalize(self) -> Self {
            Self::new(self.value)
        }
        #[inline]
        pub fn modulo() -> u32 {
            M::modulo()
        }
        #[inline]
        pub fn inv(self) -> Self {
            self.pow(M::modulo() - 2)
        }
    }
    impl<M: Modulo> ops::Neg for ModInt<M> {
        type Output = Self;
        #[inline]
        fn neg(self) -> Self::Output {
            Self::unnormalized(if self.value == 0 {
                0
            } else {
                M::modulo() - self.value
            })
        }
    }
    impl<M: Modulo> ops::Neg for &ModInt<M> {
        type Output = ModInt<M>;
        #[inline]
        fn neg(self) -> Self::Output {
            -(*self)
        }
    }
    impl<M: Modulo> ops::Add for ModInt<M> {
        type Output = Self;
        #[inline]
        fn add(self, other: Self) -> Self {
            let sum = self.value + other.value;
            Self::unnormalized(if sum < M::modulo() {
                sum
            } else {
                sum - M::modulo()
            })
        }
    }
    impl<M: Modulo> ops::Sub for ModInt<M> {
        type Output = Self;
        #[inline]
        fn sub(self, other: Self) -> Self {
            let (diff, of) = self.value.overflowing_sub(other.value);
            Self::unnormalized(if of {
                diff.wrapping_add(M::modulo())
            } else {
                diff
            })
        }
    }
    impl<M: Modulo> ops::Mul for ModInt<M> {
        type Output = Self;
        #[inline]
        fn mul(self, other: Self) -> Self {
            Self::unnormalized(M::rem64(self.value as u64 * other.value as u64))
        }
    }
    impl<M: Modulo> ops::Div for ModInt<M> {
        type Output = Self;
        #[inline]
        fn div(self, other: Self) -> Self {
            self * other.inv()
        }
    }
    macro_rules! binop {
        ($ Op : ident , $ op : ident , $ OpAssign : ident , $ op_assign : ident) => {
            impl<M: Modulo> ops::$Op<&ModInt<M>> for ModInt<M> {
                type Output = Self;
                #[inline]
                fn $op(self, other: &ModInt<M>) -> Self::Output {
                    self.$op(*other)
                }
            }
            impl<M: Modulo> ops::$Op<ModInt<M>> for &ModInt<M> {
                type Output = ModInt<M>;
                #[inline]
                fn $op(self, other: ModInt<M>) -> Self::Output {
                    (*self).$op(other)
                }
            }
            impl<M: Modulo> ops::$Op for &ModInt<M> {
                type Output = ModInt<M>;
                #[inline]
                fn $op(self, other: Self) -> Self::Output {
                    (*self).$op(*other)
                }
            }
            impl<M: Modulo> ops::$OpAssign for ModInt<M> {
                #[inline]
                fn $op_assign(&mut self, rhs: Self) {
                    *self = <Self as ops::$Op>::$op(*self, rhs);
                }
            }
            impl<M: Modulo> ops::$OpAssign<&ModInt<M>> for ModInt<M> {
                #[inline]
                fn $op_assign(&mut self, rhs: &ModInt<M>) {
                    *self = <Self as ops::$Op>::$op(*self, *rhs);
                }
            }
        };
    }
    binop!(Add, add, AddAssign, add_assign);
    binop!(Sub, sub, SubAssign, sub_assign);
    binop!(Mul, mul, MulAssign, mul_assign);
    binop!(Div, div, DivAssign, div_assign);
    impl<M: Modulo> iter::Sum for ModInt<M> {
        fn sum<I: Iterator<Item = Self>>(iter: I) -> Self {
            let sum = iter.fold(0u64, |acc, x| acc + x.get() as u64);
            Self::from(sum)
        }
    }
    impl<M: Modulo> iter::Product for ModInt<M> {
        fn product<I: Iterator<Item = Self>>(iter: I) -> Self {
            iter.fold(ModInt::new(1), |x, y| x * y)
        }
    }
    macro_rules! fold {
        ($ Trait : ident , $ f : ident) => {
            impl<'a, M: Modulo + 'a> iter::$Trait<&'a ModInt<M>> for ModInt<M> {
                fn $f<I: Iterator<Item = &'a ModInt<M>>>(iter: I) -> Self {
                    <Self as iter::$Trait>::$f(iter.copied())
                }
            }
        };
    }
    fold!(Sum, sum);
    fold!(Product, product);
    pub trait Pow<Exp> {
        fn pow(self, exp: Exp) -> Self;
    }
    macro_rules! pow {
        ($ Uint : ident , $ Int : ident) => {
            impl<M: Modulo> Pow<$Uint> for ModInt<M> {
                #[inline]
                fn pow(self, mut exp: $Uint) -> Self {
                    let mut res = Self::unnormalized(1);
                    if exp == 0 {
                        return res;
                    }
                    let mut base = self;
                    while exp > 1 {
                        if exp & 1 == 1 {
                            res *= base;
                        }
                        base *= base;
                        exp >>= 1;
                    }
                    res * base
                }
            }
            impl<M: Modulo> Pow<$Int> for ModInt<M> {
                #[inline]
                fn pow(self, exp: $Int) -> Self {
                    let p = self.pow(exp.abs() as $Uint);
                    if exp >= 0 {
                        p
                    } else {
                        p.inv()
                    }
                }
            }
        };
    }
    pow!(usize, isize);
    pow!(u8, i8);
    pow!(u16, i16);
    pow!(u32, i32);
    pow!(u64, i64);
    pow!(u128, i128);
    impl<M> Clone for ModInt<M> {
        fn clone(&self) -> Self {
            *self
        }
    }
    impl<M> Copy for ModInt<M> {}
    impl<M> Default for ModInt<M> {
        fn default() -> Self {
            Self::unnormalized(0)
        }
    }
    impl<M> PartialEq for ModInt<M> {
        fn eq(&self, other: &Self) -> bool {
            self.value == other.value
        }
    }
    impl<M> Eq for ModInt<M> {}
    impl<M> PartialOrd for ModInt<M> {
        fn partial_cmp(&self, other: &Self) -> Option<cmp::Ordering> {
            self.value.partial_cmp(&other.value)
        }
    }
    impl<M> Ord for ModInt<M> {
        fn cmp(&self, other: &Self) -> cmp::Ordering {
            self.value.cmp(&other.value)
        }
    }
    impl<M> Hash for ModInt<M> {
        fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
            self.value.hash(state)
        }
    }
    impl<M> fmt::Display for ModInt<M> {
        fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
            fmt::Display::fmt(&self.value, f)
        }
    }
    impl<M> fmt::Debug for ModInt<M> {
        fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
            fmt::Debug::fmt(&self.value, f)
        }
    }
    impl<M: Modulo> From<u32> for ModInt<M> {
        fn from(value: u32) -> Self {
            Self::new(value)
        }
    }
    impl<M: Modulo> From<u64> for ModInt<M> {
        fn from(value: u64) -> Self {
            Self::unnormalized(M::rem64(value))
        }
    }
    impl<M: Modulo> From<u128> for ModInt<M> {
        fn from(value: u128) -> Self {
            Self::unnormalized((value % M::modulo() as u128) as u32)
        }
    }
    macro_rules! from_small_uint {
        ($ ty : ident) => {
            impl<M: Modulo> From<$ty> for ModInt<M> {
                fn from(value: $ty) -> Self {
                    Self::new(value as u32)
                }
            }
        };
    }
    from_small_uint!(u8);
    from_small_uint!(u16);
    impl<M: Modulo> From<usize> for ModInt<M> {
        fn from(value: usize) -> Self {
            if cfg!(target_pointer_width = "64") {
                ModInt::from(value as u64)
            } else {
                ModInt::from(value as u32)
            }
        }
    }
    macro_rules! from_signed {
        ($ Uint : ident , $ Int : ident) => {
            impl<M: Modulo> From<$Int> for ModInt<M> {
                fn from(value: $Int) -> Self {
                    let abs = ModInt::from(value.abs() as $Uint);
                    if value >= 0 {
                        abs
                    } else {
                        -abs
                    }
                }
            }
        };
    }
    from_signed!(usize, isize);
    from_signed!(u8, i8);
    from_signed!(u16, i16);
    from_signed!(u32, i32);
    from_signed!(u64, i64);
    from_signed!(u128, i128);
}
0