結果

問題 No.1085 桁和の桁和
ユーザー akakimidoriakakimidori
提出日時 2020-06-19 21:53:43
言語 Rust
(1.77.0)
結果
AC  
実行時間 21 ms / 2,000 ms
コード長 4,913 bytes
コンパイル時間 1,790 ms
コンパイル使用メモリ 163,968 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-04-24 10:02:07
合計ジャッジ時間 2,513 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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
5,248 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 1 ms
5,376 KB
testcase_04 AC 20 ms
5,376 KB
testcase_05 AC 1 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 1 ms
5,376 KB
testcase_08 AC 1 ms
5,376 KB
testcase_09 AC 1 ms
5,376 KB
testcase_10 AC 1 ms
5,376 KB
testcase_11 AC 1 ms
5,376 KB
testcase_12 AC 1 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 5 ms
5,376 KB
testcase_15 AC 12 ms
5,376 KB
testcase_16 AC 11 ms
5,376 KB
testcase_17 AC 6 ms
5,376 KB
testcase_18 AC 4 ms
5,376 KB
testcase_19 AC 11 ms
5,376 KB
testcase_20 AC 10 ms
5,376 KB
testcase_21 AC 6 ms
5,376 KB
testcase_22 AC 9 ms
5,376 KB
testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 1 ms
5,376 KB
testcase_25 AC 6 ms
5,376 KB
testcase_26 AC 12 ms
5,376 KB
testcase_27 AC 9 ms
5,376 KB
testcase_28 AC 13 ms
5,376 KB
testcase_29 AC 7 ms
5,376 KB
testcase_30 AC 7 ms
5,376 KB
testcase_31 AC 12 ms
5,376 KB
testcase_32 AC 7 ms
5,376 KB
testcase_33 AC 21 ms
5,376 KB
testcase_34 AC 21 ms
5,376 KB
testcase_35 AC 20 ms
5,376 KB
testcase_36 AC 21 ms
5,376 KB
testcase_37 AC 20 ms
5,376 KB
testcase_38 AC 20 ms
5,376 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 # 

// ---------- begin ModInt ----------
const MOD: u32 = 1_000_000_007;

#[derive(Clone, Copy)]
struct ModInt(u32);

impl std::ops::Add for ModInt {
    type Output = ModInt;
    fn add(self, rhs: ModInt) -> Self::Output {
        let mut d = self.0 + rhs.0;
        if d >= MOD {
            d -= MOD;
        }
        ModInt(d)
    }
}

impl std::ops::AddAssign for ModInt {
    fn add_assign(&mut self, rhs: ModInt) {
        *self = *self + rhs;
    }
}

impl std::ops::Sub for ModInt {
    type Output = ModInt;
    fn sub(self, rhs: ModInt) -> Self::Output {
        let mut d = self.0 + MOD - rhs.0;
        if d >= MOD {
            d -= MOD;
        }
        ModInt(d)
    }
}

impl std::ops::SubAssign for ModInt {
    fn sub_assign(&mut self, rhs: ModInt) {
        *self = *self - rhs;
    }
}

impl std::ops::Mul for ModInt {
    type Output = ModInt;
    fn mul(self, rhs: ModInt) -> Self::Output {
        ModInt((self.0 as u64 * rhs.0 as u64 % MOD as u64) as u32)
    }
}

impl std::ops::MulAssign for ModInt {
    fn mul_assign(&mut self, rhs: ModInt) {
        *self = *self * rhs;
    }
}

impl std::ops::Neg for ModInt {
    type Output = ModInt;
    fn neg(self) -> Self::Output {
        ModInt(if self.0 == 0 {0} else {MOD - self.0})
    }
}

impl std::fmt::Display for ModInt {
    fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
        write!(f, "{}", self.0)
    }
}

impl std::str::FromStr for ModInt {
    type Err = std::num::ParseIntError;
    fn from_str(s: &str) -> Result<Self, Self::Err> {
        let val = s.parse::<u32>()?;
        Ok(ModInt::new(val))
    }
}

impl From<usize> for ModInt {
    fn from(val: usize) -> ModInt {
        ModInt((val % MOD as usize) as u32)
    }
}

impl From<i64> for ModInt {
    fn from(val: i64) -> ModInt {
        let m = MOD as i64;
        ModInt::new((val % m + m) as u32)
    }
}

#[allow(dead_code)]
impl ModInt {
    pub fn new(n: u32) -> ModInt {
        ModInt(n % MOD)
    }
    pub fn zero() -> ModInt {
        ModInt(0)
    }
    pub fn one() -> ModInt {
        ModInt(1)
    }
    pub fn pow(self, mut n: u32) -> ModInt {
        let mut t = ModInt::one();
        let mut s = self;
        while n > 0 {
            if n & 1 == 1 {
                t *= s;
            }
            s *= s;
            n >>= 1;
        }
        t
    }
    pub fn inv(self) -> ModInt {
        assert!(self.0 > 0);
        self.pow(MOD - 2)
    }
}
// ---------- end ModInt ----------
// ---------- begin Precalc ----------
#[allow(dead_code)]
struct Precalc {
    inv: Vec<ModInt>,
    fact: Vec<ModInt>,
    ifact: Vec<ModInt>,
}

#[allow(dead_code)]
impl Precalc {
    pub fn new(n: usize) -> Precalc {
        let mut inv = vec![ModInt::one(); n + 1];
        let mut fact = vec![ModInt::one(); n + 1];
        let mut ifact = vec![ModInt::one(); n + 1];
        for i in 2..(n + 1) {
            fact[i] = fact[i - 1] * ModInt(i as u32);
        }
        ifact[n] = fact[n].inv();
        if n > 0 {
            inv[n] = ifact[n] * fact[n - 1];
        }
        for i in (1..n).rev() {
            ifact[i] = ifact[i + 1] * ModInt((i + 1) as u32);
            inv[i] = ifact[i] * fact[i - 1];
        }
        Precalc {
            inv: inv,
            fact: fact,
            ifact: ifact,
        }
    }
    pub fn inv(&self, n: usize) -> ModInt {
        assert!(n > 0);
        self.inv[n]
    }
    pub fn fact(&self, n: usize) -> ModInt {
        self.fact[n]
    }
    pub fn ifact(&self, n: usize) -> ModInt {
        self.ifact[n]
    }
    pub fn comb(&self, n: usize, k: usize) -> ModInt {
        if k > n {
            return ModInt::zero();
        }
        self.fact[n] * self.ifact[k] * self.ifact[n - k]
    }
}
// ---------- end Precalc ----------

use std::io::Read;

fn run() {
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace();
    let s: Vec<char> = it.next().unwrap().chars().collect();
    let d: usize = it.next().unwrap().parse().unwrap();
    let w = 9;
    let mut dp = vec![ModInt::zero(); w];
    dp[0] = ModInt::one();
    let mut zero = true;
    for c in s {
        if c == '?' {
            let mut next = vec![ModInt::zero(); w];
            for i in 0..w {
                for j in 0..10 {
                    next[(i + j) % w] += dp[i];
                }
            }
            dp = next;
        } else {
            zero &= c == '0';
            let d = c.to_digit(10).unwrap() as usize % 9;
            dp.rotate_right(d);
        }
    }
    let ans = if d == 0 {
        if zero {
            ModInt::one()
        } else {
            ModInt::zero()
        }
    } else if d == 9 {
        dp[0] - if zero {
            ModInt::one()
        } else {
            ModInt::zero()
        }
    } else {
        dp[d]
    };
    println!("{}", ans);
}

fn main() {
    run();
}
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