from dataclasses import dataclass
from typing import Union


class LexError(Exception):
    pass


@dataclass
class Token:
    kind: str
    value: Union[int, float, str, None]


def tokenize(src: str) -> list:
    tokens = []
    i = 0
    while i < len(src):
        ch = src[i]
        if ch in ' \t':
            i += 1
        elif ch == '+':
            tokens.append(Token('PLUS', '+'))
            i += 1
        elif ch == '-':
            tokens.append(Token('MINUS', '-'))
            i += 1
        elif ch == '*':
            tokens.append(Token('STAR', '*'))
            i += 1
        elif ch == '/':
            tokens.append(Token('SLASH', '/'))
            i += 1
        elif ch == '(':
            tokens.append(Token('LPAREN', '('))
            i += 1
        elif ch == ')':
            tokens.append(Token('RPAREN', ')'))
            i += 1
        elif ch.isdigit() or ch == '.':
            j = i
            while j < len(src) and (src[j].isdigit() or src[j] == '.'):
                j += 1
            raw = src[i:j]
            try:
                value = float(raw) if '.' in raw else int(raw)
            except ValueError:
                raise LexError(f"invalid number literal {raw!r} at position {i}")
            tokens.append(Token('NUMBER', value))
            i = j
        else:
            raise LexError(f"unexpected character {ch!r} at position {i}")
    tokens.append(Token('EOF', None))
    return tokens