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use std::cmp::max;
use std::fmt;
use std::ops::Add;

pub struct Number {
    radix: usize,
    digits: Vec<u8>,
}

impl Number {
    pub fn parse(snum: &str, radix: usize) -> Result<Number, &str> {
        let snum = snum.as_bytes();
        let mut digits = Vec::new();
        for i in (0..snum.len()).rev() {
            match Number::parse_digit(snum[i]) {
                Some(digit) => {
                    if digit as usize >= radix {
                        return Err("Аргумент не является числом");
                    } else {
                        digits.push(digit);
                    }
                }
                None => {
                    return Err("Аргумент не является числом");
                }
            }
        }
        return Ok(Number { radix, digits });
    }

    pub fn len(&self) -> usize {
        self.digits.len()
    }

    fn parse_digit(c: u8) -> Option<u8> {
        if c >= 'a' as u8 {
            Some(c - 'a' as u8 + 10_u8)
        } else if c >= '0' as u8 {
            Some(c - '0' as u8)
        } else {
            None
        }
    }
}

impl fmt::Display for Number {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        for i in (0..self.digits.len()).rev() {
            let digit = if self.digits[i] > 9 {
                ('a' as u8 - 10 + self.digits[i]) as char
            } else {
                ('0' as u8 + self.digits[i]) as char
            };
            write!(f, "{}", digit)?;
        }

        if self.radix != 10 {
            write!(f, "_{}", self.radix)?;
        }
        return Ok(());
    }
}

impl Add for Number {
    type Output = Self;

    fn add(self, other: Self) -> Self::Output {
        let mut k = 0;
        let len = max(self.len(), other.len());
        let mut digits = Vec::new();
        for i in 0..len {
            let mut digit = 0;
            if i < self.len() {
                digit += self.digits[i] as usize;
            }
            if i < other.len() {
                digit += other.digits[i] as usize;
            }
            digit += k;
            let (div, rem) = (digit / self.radix, digit % self.radix);
            digit = rem;
            k = div;
            digits.push(digit as u8);
        }
        if k != 0 {
            digits.push(k as u8);
        }

        return Number {
            radix: self.radix,
            digits,
        };
    }
}