You are given a code:

def main_solution(x):
    return (func_9('kgrmdn') + func_13('chyfs', '|'))

Can you predict the output of `main_solution("dedoaf")` without writing any code? Please reason and put your final answer in the following json format: {"output": <your output>}, where <your output> should be the final string.
user
{"ref_input": {"x": "dedoaf"}, "ref_output": "kgrmdnndmrgkc|h|y|f|s", "ref_code": "def main_solution(x):\n    return (func_9('kgrmdn') + func_13('chyfs', '|'))", "funcname": "main_solution"}
rule