RSA_deCrypt.py

from decimal import *
e = 3
c = 24169313728564942442211774792718133649505303766122840641824238947925887523809659286479788261358160947897827563877730687191196979635981766007541262794064747436339518434662376001187909548541032912960261470378632234919864504416430112988325282635602076675727609986764939035311005911495050936123288502045541159782290557092166459385730265169804173086982862520503253166994397834568988061050489364671603850794860660038045636906752404250094067941258320535890143754097216
i = 100
while i < 2000:
    getcontext().prec = i
    cube_root = int(
        (Decimal(c) ** (Decimal(1) / Decimal(3))).to_integral_exact())
    hex_str = hex(cube_root)[2:]
    try:
        dehex = bytes.fromhex(hex_str).decode()
        flag = bytes.fromhex(dehex).decode()
        if flag.startswith('twc{') and flag.endswith('}'):
            print('Precision :', i)
            print('FLAG      :', flag)
            break
    except UnicodeDecodeError:
        pass
    except ValueError:
        pass
    i += 1