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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def infer_dtypes(fit, model=None):

 """Infer dtypes from Stan model code.
 
 Function strips out generated quantities block and searchs for `int`
 dtypes after stripping out comments inside the block.
 """

    pattern_remove_comments = re.compile(
        r'//.*?$|/\*.*?\*/|\'(?:\\.|[^\\\'])*\'|"(?:\\.|[^\\"])*"', re.DOTALL | re.MULTILINE
    )
    stan_integer = r"int"
    stan_limits = r"(?:\<[^\>]+\>)*"  # ignore group: 0 or more <....>
    stan_param = r"([^;=\s\[]+)"  # capture group: ends= ";", "=", "[" or whitespace
    stan_ws = r"\s*"  # 0 or more whitespace
    pattern_int = re.compile(
        "".join((stan_integer, stan_ws, stan_limits, stan_ws, stan_param)), re.IGNORECASE
    )
    if model is None:
        stan_code = fit.get_stancode()
        model_pars = fit.model_pars
    else:
        stan_code = model.program_code
        model_pars = fit.param_names
    # remove deprecated comments
    stan_code = "\n".join(
        line if "#" not in line else line[: line.find("#")] for line in stan_code.splitlines()
    )
    stan_code = re.sub(pattern_remove_comments, "", stan_code)
    stan_code = stan_code.split("generated quantities")[-1]
    dtypes = re.findall(pattern_int, stan_code)
    dtypes = {item.strip(): "int" for item in dtypes if item.strip() in model_pars}
    return dtypes