#977185 (Rust) No.2626 Similar But Different Name

提出ソース

結果

問題	No.2626 Similar But Different Name
ユーザー	koba-e964
提出日時	2024-04-24 23:48:18
言語	Rust (1.77.0 + proconio)
結果	TLE
実行時間	-
コード長	17,013 bytes
コンパイル時間	1,371 ms
コンパイル使用メモリ	177,792 KB
実行使用メモリ	18,104 KB
最終ジャッジ日時	2024-04-24 23:48:25
合計ジャッジ時間	7,567 ms
ジャッジサーバーID （参考情報）	judge1 / 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 10,624 KB
testcase_01	AC	1 ms 5,376 KB
testcase_02	AC	1 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	1 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	3 ms 5,376 KB
testcase_07	AC	168 ms 5,376 KB
testcase_08	AC	85 ms 5,376 KB
testcase_09	AC	1 ms 5,376 KB
testcase_10	AC	98 ms 5,376 KB
testcase_11	AC	101 ms 5,376 KB
testcase_12	AC	110 ms 5,376 KB
testcase_13	AC	99 ms 5,376 KB
testcase_14	AC	93 ms 5,376 KB
testcase_15	AC	105 ms 5,376 KB
testcase_16	AC	87 ms 5,376 KB
testcase_17	AC	88 ms 5,376 KB
testcase_18	AC	94 ms 18,104 KB
testcase_19	TLE	-
testcase_20	--	-
testcase_21	--	-
testcase_22	--	-
testcase_23	--	-
testcase_24	--	-
testcase_25	--	-
testcase_26	--	-
testcase_27	--	-
testcase_28	--	-
testcase_29	--	-
testcase_30	--	-
testcase_31	--	-
testcase_32	--	-
testcase_33	--	-
testcase_34	--	-
testcase_35	--	-
testcase_36	--	-
testcase_37	--	-

権限があれば一括ダウンロードができます

コンパイルメッセージ

warning: unused variable: `ops`
   --> main.rs:489:9
    |
489 |     let ops = FPSOps::new(MInt::new(3));
    |         ^^^ help: if this is intentional, prefix it with an underscore: `_ops`
    |
    = note: `#[warn(unused_variables)]` on by default

warning: 1 warning emitted

ソースコード

raw source code

// 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)*}
    };
}

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)*}
    };
}

macro_rules! read_value {
    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, chars) => {
        read_value!($next, String).chars().collect::<Vec<char>>()
    };
    ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));
}

// Z algorithm. Calculates an array a[i] = |lcp(s, &s[i..])|,
// where s is the given slice.
// If n = s.length(), the returned array has length n + 1.
// E.g. z_algorithm(b"ababa") = vec![5, 0, 3, 0, 1, 0]
// Reference: http://snuke.hatenablog.com/entry/2014/12/03/214243
// Verified by: ABC284-F (https://atcoder.jp/contests/abc284/submissions/38752029)
fn z_algorithm<T: PartialEq>(s: &[T]) -> Vec<usize> {
    let n = s.len();
    let mut ret = vec![0; n + 1];
    ret[0] = n;
    let mut i = 1; let mut j = 0;
    while i < n {
        while i + j < n && s[j] == s[i + j] { j += 1; }
        ret[i] = j;
        if j == 0 { i += 1; continue; }
        let mut k = 1;
        while i + k < n && k + ret[k] < j {
            ret[i + k] = ret[k];
            k += 1;
        }
        i += k; j -= k;
    }
    ret
}

/// 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> ::std::fmt::Debug for ModInt<M> {
        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<M: Mod> From<i64> for ModInt<M> {
        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<P>;

// FFT (in-place, verified as NTT only)
// R: Ring + Copy
// Verified by: https://judge.yosupo.jp/submission/53831
// Adopts the technique used in https://judge.yosupo.jp/submission/3153.
mod fft {
    use std::ops::*;
    // n should be a power of 2. zeta is a primitive n-th root of unity.
    // one is unity
    // Note that the result is bit-reversed.
    pub fn fft<R>(f: &mut [R], zeta: R, one: R)
        where R: Copy +
        Add<Output = R> +
        Sub<Output = R> +
        Mul<Output = R> {
        let n = f.len();
        assert!(n.is_power_of_two());
        let mut m = n;
        let mut base = zeta;
        unsafe {
            while m > 2 {
                m >>= 1;
                let mut r = 0;
                while r < n {
                    let mut w = one;
                    for s in r..r + m {
                        let &u = f.get_unchecked(s);
                        let d = *f.get_unchecked(s + m);
                        *f.get_unchecked_mut(s) = u + d;
                        *f.get_unchecked_mut(s + m) = w * (u - d);
                        w = w * base;
                    }
                    r += 2 * m;
                }
                base = base * base;
            }
            if m > 1 {
                // m = 1
                let mut r = 0;
                while r < n {
                    let &u = f.get_unchecked(r);
                    let d = *f.get_unchecked(r + 1);
                    *f.get_unchecked_mut(r) = u + d;
                    *f.get_unchecked_mut(r + 1) = u - d;
                    r += 2;
                }
            }
        }
    }
    pub fn inv_fft<R>(f: &mut [R], zeta_inv: R, one: R)
        where R: Copy +
        Add<Output = R> +
        Sub<Output = R> +
        Mul<Output = R> {
        let n = f.len();
        assert!(n.is_power_of_two());
        let zeta = zeta_inv; // inverse FFT
        let mut zetapow = Vec::with_capacity(20);
        {
            let mut m = 1;
            let mut cur = zeta;
            while m < n {
                zetapow.push(cur);
                cur = cur * cur;
                m *= 2;
            }
        }
        let mut m = 1;
        unsafe {
            if m < n {
                zetapow.pop();
                let mut r = 0;
                while r < n {
                    let &u = f.get_unchecked(r);
                    let d = *f.get_unchecked(r + 1);
                    *f.get_unchecked_mut(r) = u + d;
                    *f.get_unchecked_mut(r + 1) = u - d;
                    r += 2;
                }
                m = 2;
            }
            while m < n {
                let base = zetapow.pop().unwrap();
                let mut r = 0;
                while r < n {
                    let mut w = one;
                    for s in r..r + m {
                        let &u = f.get_unchecked(s);
                        let d = *f.get_unchecked(s + m) * w;
                        *f.get_unchecked_mut(s) = u + d;
                        *f.get_unchecked_mut(s + m) = u - d;
                        w = w * base;
                    }
                    r += 2 * m;
                }
                m *= 2;
            }
        }
    }
}

// Depends on: fft.rs, MInt.rs
// Verified by: ABC269-Ex (https://atcoder.jp/contests/abc269/submissions/39116328)
pub struct FPSOps<M: mod_int::Mod> {
    gen: mod_int::ModInt<M>,
}

impl<M: mod_int::Mod> FPSOps<M> {
    pub fn new(gen: mod_int::ModInt<M>) -> Self {
        FPSOps { gen: gen }
    }
}

impl<M: mod_int::Mod> FPSOps<M> {
    pub fn add(&self, mut a: Vec<mod_int::ModInt<M>>, mut b: Vec<mod_int::ModInt<M>>) -> Vec<mod_int::ModInt<M>> {
        if a.len() < b.len() {
            std::mem::swap(&mut a, &mut b);
        }
        for i in 0..b.len() {
            a[i] += b[i];
        }
        a
    }
    pub fn mul(&self, a: Vec<mod_int::ModInt<M>>, b: Vec<mod_int::ModInt<M>>) -> Vec<mod_int::ModInt<M>> {
        type MInt<M> = mod_int::ModInt<M>;
        if a.is_empty() || b.is_empty() {
            return vec![];
        }
        let n = a.len() - 1;
        let m = b.len() - 1;
        let mut p = 1;
        while p <= n + m { p *= 2; }
        let mut f = vec![MInt::new(0); p];
        let mut g = vec![MInt::new(0); p];
        for i in 0..n + 1 { f[i] = a[i]; }
        for i in 0..m + 1 { g[i] = b[i]; }
        let fac = MInt::new(p as i64).inv();
        let zeta = self.gen.pow((M::m() - 1) / p as i64);
        fft::fft(&mut f, zeta, 1.into());
        fft::fft(&mut g, zeta, 1.into());
        for i in 0..p { f[i] *= g[i] * fac; }
        fft::inv_fft(&mut f, zeta.inv(), 1.into());
        f.truncate(n + m + 1);
        f
    }
}

// Verified by https://atcoder.jp/contests/arc084/submissions/3935443
#[derive(Clone)]
struct BitSet {
    size: usize,
    buf: Vec<usize>,
}

impl BitSet {
    // size should be a multiple of bit-size of usize.
    fn new(size: usize) -> Self {
        let w = 8 * std::mem::size_of::<usize>();
        assert_eq!(size & (w - 1), 0);
        let count = size / w;
        BitSet {
            size: size,
            buf: vec![0; count],
        }
    }
    #[allow(unused)]
    fn set(&mut self, idx: usize, val: bool) {
        debug_assert!(idx < self.size);
        let w = 8 * std::mem::size_of::<usize>();
        let idx0 = idx / w;
        let idx1 = idx & (w - 1);
        if val {
            self.buf[idx0] |= 1 << idx1;
        } else {
            self.buf[idx0] &= !(1 << idx1);
        }
    }
    #[allow(unused)]
    fn get(&self, idx: usize) -> bool {
        let w = 8 * std::mem::size_of::<usize>();
        debug_assert!(idx < self.size);
        let idx0 = idx / w;
        let idx1 = idx & (w - 1);
        (self.buf[idx0] >> idx1 & 1) == 1
    }
    #[allow(unused)]
    fn shl(&self, val: usize) -> Self {
        if val >= self.size { return Self::new(self.size); }
        let w = 8 * std::mem::size_of::<usize>();
        let count = self.size / w;
        let sh0 = val / w;
        let sh1 = val & (w - 1);
        let mut ans = Self::new(self.size);
        if sh1 == 0 {
            for i in 0..count - sh0 {
                ans.buf[i + sh0] = self.buf[i];
            }
        } else {
            ans.buf[sh0] = self.buf[0] << sh1;
            for i in 1..count - sh0 {
                ans.buf[i + sh0] = self.buf[i] << sh1
                    | self.buf[i - 1] >> (w - sh1);
            }
        }
        ans
    }
    // Verified by: https://www.hackerrank.com/contests/yfkpo4/challenges/e-strange-clock/submissions/code/1357435235
    #[allow(unused)]
    fn shr(&self, val: usize) -> Self {
        if val >= self.size { return Self::new(self.size); }
        let w = 8 * std::mem::size_of::<usize>();
        let count = self.size / w;
        let sh0 = val / w;
        let sh1 = val & (w - 1);
        let mut ans = Self::new(self.size);
        if sh1 == 0 {
            for i in 0..count - sh0 {
                ans.buf[i] = self.buf[i + sh0];
            }
        } else {
            for i in 0..count - sh0 - 1 {
                ans.buf[i] = self.buf[i + sh0] >> sh1
                    | self.buf[i + sh0 + 1] << (w - sh1);
            }
            ans.buf[count - sh0 - 1] = self.buf[count - 1] >> sh1;
        }
        ans
    }
    #[allow(unused)]
    fn msb(&self) -> Option<usize> {
        let w = 8 * std::mem::size_of::<usize>();
        let count = self.size / w;
        for i in (0..count).rev() {
            let v = self.buf[i];
            if v != 0 {
                return Some(w * i + w - 1 - v.leading_zeros() as usize);
            }
        }
        None
    }
}

impl std::ops::BitXorAssign for BitSet {
    fn bitxor_assign(&mut self, other: BitSet) {
        *self ^= &other;
    }
}
impl std::ops::BitXorAssign<&BitSet> for BitSet {
    fn bitxor_assign(&mut self, other: &BitSet) {
        debug_assert_eq!(self.size, other.size);
        for i in 0..self.buf.len() {
            self.buf[i] ^= other.buf[i];
        }
    }
}
impl std::ops::BitOrAssign for BitSet {
    #[inline(always)]
    fn bitor_assign(&mut self, other: BitSet) {
        *self |= &other;
    }
}
impl std::ops::BitOrAssign<&BitSet> for BitSet {
    fn bitor_assign(&mut self, other: &BitSet) {
        debug_assert_eq!(self.size, other.size);
        for i in 0..self.buf.len() {
            self.buf[i] |= other.buf[i];
        }
    }
}
impl std::ops::BitOr for BitSet {
    type Output = Self;
    fn bitor(self, other: BitSet) -> Self {
        debug_assert_eq!(self.size, other.size);
        let mut ans = BitSet::new(self.size);
        for i in 0..self.buf.len() {
            ans.buf[i] = self.buf[i] | other.buf[i];
        }
        ans
    }
}
impl std::ops::BitAndAssign for BitSet {
    #[inline(always)]
    fn bitand_assign(&mut self, other: BitSet) {
        *self &= &other;
    }
}
impl std::ops::BitAndAssign<&BitSet> for BitSet {
    fn bitand_assign(&mut self, other: &BitSet) {
        debug_assert_eq!(self.size, other.size);
        for i in 0..self.buf.len() {
            self.buf[i] &= other.buf[i];
        }
    }
}

// https://yukicoder.me/problems/no/2626 (3.5)
// まず、大文字小文字を区別せずにマッチするか調べる (26 回の畳み込みでできる)。
// その後、大文字小文字を区別したときに異なる箇所の個数を調べる (これは 52 回の畳み込みでできる)。
// -> WA + TLE。大文字小文字を区別せずにマッチするかは z_algorithm で計算できる。
// -> TLE。大文字小文字を区別しないときに T が、
// - 同じ文字ばかりのとき: マッチングは 1 文字だけ見れば良いので速い
// - 違う文字が含まれるとき: マッチング箇所は限られるので bitset が速そう
// Tags: wildcard-pattern-matching
fn main() {
    input! {
        n: usize, m: usize, k: usize,
        s: chars,
        t: chars,
    }
    let mut concat = t.clone();
    concat.extend_from_slice(&s);
    for v in &mut concat {
        *v = v.to_ascii_lowercase();
    }
    let z = z_algorithm(&concat);
    let mut over = vec![0; n - m + 1];
    let ops = FPSOps::new(MInt::new(3));
    const W: usize = (500_000 + 63) / 64 * 64;
    for c in ('a'..='z').chain('A'..='Z') {
        let other = if c.is_ascii_lowercase() {
            c.to_ascii_uppercase()
        } else {
            c.to_ascii_lowercase()
        };
        let mut st_s = BitSet::new(W);
        let mut st_t = BitSet::new(W);
        for i in 0..n {
            if s[i] == c {
                st_s.set(i, true);
            }
        }
        let mut tcount = 0;
        for i in 0..m {
            if t[i] == other {
                st_t.set(i, true);
                tcount += 1;
            }
        }
        if tcount == 0 {
            continue;
        }
        for i in 0..n - m + 1 {
            if z[m + i] < m { continue; }
            let mut sh_st_t = st_t.shl(i);
            sh_st_t &= &st_s;
            for &b in &sh_st_t.buf {
                over[i] += b.count_ones() as i64;
            }
        }
    }
    let mut ans = 0;
    for i in 0..n - m + 1 {
        if z[m + i] >= m && (over[i] >= 1 && over[i] <= k as i64) {
            ans += 1;
        }
    }
    println!("{}", ans);
}