# Current Terms
broker_fee = 0.1000
intervals = [6, 12, 24]
prices = {'AXP': 45.630000000000003, 'BA': 82.180000000000007, 'CVX': 99.230000000000004, 'DD': 47.229999999999997, 'CAT': 81.150000000000006, 'BAC': 33.909999999999997, 'AIG': 36.759999999999998, 'UTX': 70.359999999999999, 'MSFT': 28.280000000000001, 'IBM': 125.3, 'HD': 26.850000000000001, 'DIS': 33.299999999999997, 'PG': 65.079999999999998, 'AA': 40.329999999999998, 'C': 21.350000000000001, 'INTC': 23.440000000000001, 'VZ': 36.840000000000003, 'HPQ': 45.5, 'WMT': 56.109999999999999, 'GE': 30.359999999999999, 'T': 38.340000000000003, 'MRK': 38.57, 'PFE': 19.32, 'GM': 17.09, 'XOM': 89.609999999999999, 'JPM': 42.979999999999997, 'MCD': 57.82, 'KO': 58.159999999999997, 'MMM': 76.060000000000002, 'JNJ': 64.859999999999999}
company_symbols = ['AA', 'AIG', 'AXP', 'BA', 'BAC', 'C', 'CAT', 'CVX', 'DD', 'DIS', 'GE', 'GM', 'HD', 'HPQ', 'IBM', 'INTC', 'JNJ', 'JPM', 'KO', 'MCD', 'MMM', 'MRK', 'MSFT', 'PFE', 'PG', 'T', 'UTX', 'VZ', 'WMT', 'XOM']
exchange_rates = {'AXP': {'AXP': 1.0, 'BA': 0.55524458505719154, 'CVX': 0.45984077395948808, 'DD': 0.96612322676265094, 'CAT': 0.56229205175600738, 'BAC': 1.3456207608375113, 'AIG': 1.2412948857453756, 'UTX': 0.64852188743604322, 'HD': 1.6994413407821229, 'IBM': 0.36416600159616924, 'MSFT': 1.6135077793493635, 'DIS': 1.3702702702702705, 'PG': 0.7011370620774432, 'AA': 1.1314158194892141, 'C': 2.1372365339578456, 'INTC': 1.9466723549488054, 'VZ': 1.2385993485342019, 'HPQ': 1.0028571428571429, 'WMT': 0.8132240242381038, 'GE': 1.5029644268774704, 'T': 1.1901408450704225, 'MRK': 1.183043816437646, 'PFE': 2.3618012422360248, 'GM': 2.6699824458747807, 'XOM': 0.50920656176765988, 'JPM': 1.0616565844578876, 'MCD': 0.78917329643721901, 'KO': 0.78455983493810189, 'MMM': 0.59992111490928213, 'JNJ': 0.70351526364477346}, 'BA': {'AXP': 1.8010081087004164, 'BA': 1.0, 'CVX': 0.82817696261211327, 'DD': 1.7399957654033456, 'CAT': 1.0126925446703636, 'BAC': 2.4234739015039817, 'AIG': 2.2355821545157784, 'UTX': 1.1679931779420125, 'HD': 3.0607076350093112, 'IBM': 0.65586592178770953, 'MSFT': 2.9059405940594059, 'DIS': 2.4678678678678683, 'PG': 1.2627535341118625, 'AA': 2.0376890652120014, 'C': 3.8491803278688526, 'INTC': 3.5059726962457338, 'VZ': 2.2307274701411508, 'HPQ': 1.8061538461538462, 'WMT': 1.4646230618428089, 'GE': 2.7068511198945986, 'T': 2.1434533124673969, 'MRK': 2.1306715063520874, 'PFE': 4.2536231884057978, 'GM': 4.8086600351082511, 'XOM': 0.91708514674701491, 'JPM': 1.9120521172638441, 'MCD': 1.4213075060532689, 'KO': 1.4129986244841817, 'MMM': 1.0804627925322114, 'JNJ': 1.2670366944187481}, 'CVX': {'AXP': 2.1746657900504056, 'BA': 1.2074714042346069, 'CVX': 1.0, 'DD': 2.1009951302138474, 'CAT': 1.2227972889710412, 'BAC': 2.9262754349749343, 'AIG': 2.6994015233949948, 'UTX': 1.4103183627060831, 'HD': 3.6957169459962755, 'IBM': 0.7919393455706305, 'MSFT': 3.508840169731259, 'DIS': 2.9798798798798805, 'PG': 1.5247387830362631, 'AA': 2.4604512769650388, 'C': 4.6477751756440284, 'INTC': 4.2333617747440275, 'VZ': 2.6935396308360477, 'HPQ': 2.1808791208791209, 'WMT': 1.768490465157726, 'GE': 3.2684453227931489, 'T': 2.5881585811163275, 'MRK': 2.57272491573762, 'PFE': 5.1361283643892337, 'GM': 5.8063194850789941, 'XOM': 1.1073540899453187, 'JPM': 2.3087482550023268, 'MCD': 1.7161881701833277, 'KO': 1.7061554332874829, 'MMM': 1.304627925322114, 'JNJ': 1.5299105766265804}, 'DD': {'AXP': 1.0350646504492658, 'BA': 0.57471404234606949, 'CVX': 0.47596492996069734, 'DD': 1.0, 'CAT': 0.58200862600123215, 'BAC': 1.3928044824535535, 'AIG': 1.2848204570184985, 'UTX': 0.67126208072768612, 'HD': 1.7590316573556795, 'IBM': 0.37693535514764565, 'MSFT': 1.6700848656294198, 'DIS': 1.4183183183183183, 'PG': 0.72572218807621391, 'AA': 1.1710885197123728, 'C': 2.2121779859484776, 'INTC': 2.0149317406143341, 'VZ': 1.2820304017372419, 'HPQ': 1.0380219780219779, 'WMT': 0.84173944038495807, 'GE': 1.5556653491436099, 'T': 1.2318727177882105, 'MRK': 1.2245268343271971, 'PFE': 2.4446169772256727, 'GM': 2.7636044470450556, 'XOM': 0.52706171186251527, 'JPM': 1.0988832014890646, 'MCD': 0.81684538222068481, 'KO': 0.81207015130673998, 'MMM': 0.62095713910070993, 'JNJ': 0.72818378045020038}, 'CAT': {'AXP': 1.7784352399737016, 'BA': 0.98746653687028474, 'CVX': 0.81779703718633479, 'DD': 1.718187592631802, 'CAT': 1.0, 'BAC': 2.3930993807136542, 'AIG': 2.2075625680087052, 'UTX': 1.1533541785105175, 'HD': 3.022346368715084, 'IBM': 0.64764565043894662, 'MSFT': 2.8695190947666198, 'DIS': 2.4369369369369371, 'PG': 1.2469268592501537, 'AA': 2.0121497644433428, 'C': 3.8009367681498829, 'INTC': 3.4620307167235493, 'VZ': 2.2027687296416936, 'HPQ': 1.7835164835164836, 'WMT': 1.4462662626982714, 'GE': 2.672924901185771, 'T': 2.1165884194053208, 'MRK': 2.1039668135856884, 'PFE': 4.2003105590062111, 'GM': 4.7483908718548866, 'XOM': 0.90559089387345171, 'JPM': 1.8880874825500236, 'MCD': 1.4034936008301626, 'KO': 1.3952888583218708, 'MMM': 1.0669208519589799, 'JNJ': 1.2511563367252545}, 'BAC': {'AXP': 0.74315143545912765, 'BA': 0.41263081041615957, 'CVX': 0.34173133125062982, 'DD': 0.71797586279906833, 'CAT': 0.41786814540973499, 'BAC': 1.0, 'AIG': 0.92247007616974963, 'UTX': 0.48194997157475833, 'HD': 1.2629422718808192, 'IBM': 0.27063048683160412, 'MSFT': 1.1990806223479489, 'DIS': 1.0183183183183182, 'PG': 0.52105101413644739, 'AA': 0.84081329035457475, 'C': 1.5882903981264633, 'INTC': 1.4466723549488052, 'VZ': 0.92046688382193254, 'HPQ': 0.74527472527472516, 'WMT': 0.60434860096239529, 'GE': 1.1169301712779973, 'T': 0.88445487741262374, 'MRK': 0.87918071039668122, 'PFE': 1.7551759834368528, 'GM': 1.9842012873025159, 'XOM': 0.37841758732284342, 'JPM': 0.78897161470451371, 'MCD': 0.58647526807333095, 'KO': 0.58304676753782669, 'MMM': 0.44583223770707331, 'JNJ': 0.52281837804501996}, 'AIG': {'AXP': 0.80561034407188248, 'BA': 0.44731078121197365, 'CVX': 0.37045248412778392, 'DD': 0.77831886512809656, 'CAT': 0.45298829328404183, 'BAC': 1.0840460041285758, 'AIG': 1.0, 'UTX': 0.5224559408754974, 'HD': 1.3690875232774673, 'IBM': 0.2933758978451716, 'MSFT': 1.2998585572842998, 'DIS': 1.103903903903904, 'PG': 0.56484326982175781, 'AA': 0.91148028762707656, 'C': 1.7217798594847773, 'INTC': 1.5682593856655289, 'VZ': 0.99782844733984788, 'HPQ': 0.80791208791208791, 'WMT': 0.6551416859739797, 'GE': 1.2108036890645586, 'T': 0.95878977569118395, 'MRK': 0.9530723360124449, 'PFE': 1.9026915113871634, 'GM': 2.1509654768870683, 'XOM': 0.41022207342930472, 'JPM': 0.85528152629129828, 'MCD': 0.63576617087512965, 'KO': 0.63204951856946356, 'MMM': 0.48330265579805415, 'JNJ': 0.56675917360468697}, 'UTX': {'AXP': 1.5419680035064649, 'BA': 0.85616938427841316, 'CVX': 0.7090597601531794, 'DD': 1.4897311031124287, 'CAT': 0.86703635243376453, 'BAC': 2.0749041580654675, 'AIG': 1.9140369967355821, 'UTX': 1.0, 'HD': 2.6204841713221598, 'IBM': 0.56153232242617723, 'MSFT': 2.4879773691654878, 'DIS': 2.1129129129129129, 'PG': 1.0811309157959434, 'AA': 1.7446069923134144, 'C': 3.295550351288056, 'INTC': 3.0017064846416379, 'VZ': 1.9098805646036914, 'HPQ': 1.5463736263736263, 'WMT': 1.253965425057922, 'GE': 2.3175230566534917, 'T': 1.8351591027647365, 'MRK': 1.8242157116930255, 'PFE': 3.6418219461697721, 'GM': 4.1170275014628439, 'XOM': 0.78518022542126997, 'JPM': 1.6370404839460215, 'MCD': 1.2168799723279142, 'KO': 1.2097661623108666, 'MMM': 0.92505916381803832, 'JNJ': 1.0847980265186556}, 'HD': {'AXP': 0.58842866535174232, 'BA': 0.32672183012898515, 'CVX': 0.27058349289529376, 'DD': 0.5684946008892654, 'CAT': 0.33086876155268019, 'BAC': 0.79180182836921276, 'AIG': 0.73041349292709479, 'UTX': 0.38160886867538374, 'HD': 1.0, 'IBM': 0.2142857142857143, 'MSFT': 0.94943422913719944, 'DIS': 0.8063063063063064, 'PG': 0.41256914566687158, 'AA': 0.66575750061988603, 'C': 1.2576112412177987, 'INTC': 1.1454778156996588, 'VZ': 0.72882736156351791, 'HPQ': 0.59010989010989012, 'WMT': 0.4785243272144003, 'GE': 0.88438735177865624, 'T': 0.70031298904538342, 'MRK': 0.69613689395903555, 'PFE': 1.389751552795031, 'GM': 1.5710942071386778, 'XOM': 0.29963173752929362, 'JPM': 0.62470916705444401, 'MCD': 0.46437218955378762, 'KO': 0.46165749656121052, 'MMM': 0.35301078096239813, 'JNJ': 0.4139685476410731}, 'IBM': {'AXP': 2.7460004383081302, 'BA': 1.5247018739352638, 'CVX': 1.2627229668447042, 'DD': 2.6529748041499048, 'CAT': 1.5440542205791743, 'BAC': 3.6950751990563258, 'AIG': 3.4085963003264417, 'UTX': 1.7808413871517907, 'HD': 4.6666666666666661, 'IBM': 1.0, 'MSFT': 4.4306930693069306, 'DIS': 3.7627627627627631, 'PG': 1.9253226797787339, 'AA': 3.1068683362261345, 'C': 5.8688524590163933, 'INTC': 5.3455631399317403, 'VZ': 3.4011943539630831, 'HPQ': 2.7538461538461538, 'WMT': 2.2331135270005347, 'GE': 4.1271409749670616, 'T': 3.2681272822117888, 'MRK': 3.2486388384754989, 'PFE': 6.4855072463768115, 'GM': 7.3317729666471623, 'XOM': 1.3982814418033702, 'JPM': 2.9153094462540716, 'MCD': 2.1670702179176753, 'KO': 2.1544016506189823, 'MMM': 1.6473836444911911, 'JNJ': 1.9318532223250078}, 'MSFT': {'AXP': 0.61976769669077358, 'BA': 0.34412265758091992, 'CVX': 0.28499445732137457, 'DD': 0.59877196697014612, 'CAT': 0.34849044978434995, 'BAC': 0.83397227956355069, 'AIG': 0.76931447225244842, 'UTX': 0.40193291642978968, 'HD': 1.0532588454376164, 'IBM': 0.22569832402234638, 'MSFT': 1.0, 'DIS': 0.84924924924924938, 'PG': 0.43454210202827293, 'AA': 0.70121497644433428, 'C': 1.3245901639344262, 'INTC': 1.2064846416382253, 'VZ': 0.76764386536373508, 'HPQ': 0.6215384615384616, 'WMT': 0.50400998039565137, 'GE': 0.93148880105401854, 'T': 0.73761085028690654, 'MRK': 0.73321234119782219, 'PFE': 1.463768115942029, 'GM': 1.6547688706846109, 'XOM': 0.31558977792657072, 'JPM': 0.6579804560260587, 'MCD': 0.48910411622276029, 'KO': 0.48624484181568095, 'MMM': 0.37181172758348674, 'JNJ': 0.43601603453592352}, 'DIS': {'AXP': 0.72978303747534512, 'BA': 0.4052080798247748, 'CVX': 0.33558399677516876, 'DD': 0.705060343002329, 'CAT': 0.41035120147874299, 'BAC': 0.98201120613388382, 'AIG': 0.90587595212187155, 'UTX': 0.47328027288231944, 'HD': 1.2402234636871508, 'IBM': 0.26576217079010372, 'MSFT': 1.1775106082036773, 'DIS': 1.0, 'PG': 0.51167793484941604, 'AA': 0.82568807339449535, 'C': 1.5597189695550349, 'INTC': 1.4206484641638224, 'VZ': 0.90390879478827346, 'HPQ': 0.73186813186813182, 'WMT': 0.59347709855640707, 'GE': 1.0968379446640315, 'T': 0.86854460093896702, 'MRK': 0.86336530982628978, 'PFE': 1.7236024844720494, 'GM': 1.9485078993563485, 'XOM': 0.37161031134917977, 'JPM': 0.77477896696137738, 'MCD': 0.57592528536838461, 'KO': 0.57255845942228334, 'MMM': 0.43781225348409147, 'JNJ': 0.51341350601295088}, 'PG': {'AXP': 1.4262546570238877, 'BA': 0.79192017522511549, 'CVX': 0.65585004534918867, 'DD': 1.3779377514291764, 'CAT': 0.80197165742452237, 'BAC': 1.9191978767325275, 'AIG': 1.7704026115342764, 'UTX': 0.92495736213757818, 'HD': 2.4238361266294226, 'IBM': 0.51939345570630491, 'MSFT': 2.3012729844413009, 'DIS': 1.9543543543543545, 'PG': 1.0, 'AA': 1.6136870815769899, 'C': 3.0482435597189692, 'INTC': 2.7764505119453924, 'VZ': 1.766558089033659, 'HPQ': 1.4303296703296704, 'WMT': 1.1598645517733024, 'GE': 2.1436100131752305, 'T': 1.6974439227960352, 'MRK': 1.6873217526575057, 'PFE': 3.3685300207039335, 'GM': 3.8080748976009362, 'XOM': 0.72625823010824686, 'JPM': 1.5141926477431364, 'MCD': 1.1255620892424767, 'KO': 1.1189821182943605, 'MMM': 0.85564028398632652, 'JNJ': 1.0033919210607463}, 'AA': {'AXP': 0.88384834538680679, 'BA': 0.49075200778778283, 'CVX': 0.40642950720548215, 'DD': 0.85390641541393186, 'CAT': 0.4969808995686999, 'BAC': 1.1893246829843704, 'AIG': 1.0971164309031556, 'UTX': 0.57319499715747579, 'HD': 1.5020484171322159, 'IBM': 0.32186751795690344, 'MSFT': 1.4260961810466759, 'DIS': 1.2111111111111112, 'PG': 0.619698832206515, 'AA': 1.0, 'C': 1.8889929742388756, 'INTC': 1.7205631399317405, 'VZ': 1.0947339847991313, 'HPQ': 0.88637362637362638, 'WMT': 0.71876670825164857, 'GE': 1.3283926218708828, 'T': 1.0519040166927489, 'MRK': 1.0456313196785065, 'PFE': 2.0874741200828155, 'GM': 2.3598595669982445, 'XOM': 0.45006137707845106, 'JPM': 0.93834341554211265, 'MCD': 0.69750951227948799, 'KO': 0.69343191196698761, 'MMM': 0.53023928477517746, 'JNJ': 0.62180080172679619}, 'C': {'AXP': 0.467893929432391, 'BA': 0.25979557069846676, 'CVX': 0.21515670664113676, 'DD': 0.45204319288587769, 'CAT': 0.26309303758471964, 'BAC': 0.6296077853140668, 'AIG': 0.58079434167573452, 'UTX': 0.30343945423536101, 'HD': 0.7951582867783985, 'IBM': 0.17039106145251398, 'MSFT': 0.75495049504950495, 'DIS': 0.64114114114114129, 'PG': 0.32805777504609712, 'AA': 0.52938259360277717, 'C': 1.0, 'INTC': 0.91083617747440271, 'VZ': 0.57953311617806735, 'HPQ': 0.46923076923076928, 'WMT': 0.38050258420958832, 'GE': 0.70322793148880114, 'T': 0.55685967657798641, 'MRK': 0.55353901996370236, 'PFE': 1.105072463768116, 'GM': 1.2492685781158572, 'XOM': 0.2382546590782279, 'JPM': 0.49674267100977204, 'MCD': 0.36924939467312351, 'KO': 0.36709078404401657, 'MMM': 0.28069944780436501, 'JNJ': 0.32917052112241751}, 'INTC': {'AXP': 0.51369712908174447, 'BA': 0.28522754928206373, 'CVX': 0.23621888541771641, 'DD': 0.496294727927165, 'CAT': 0.28884781269254467, 'BAC': 0.69124152167502217, 'AIG': 0.6376496191512514, 'UTX': 0.33314383172256967, 'HD': 0.87299813780260704, 'IBM': 0.1870710295291301, 'MSFT': 0.82885431400282883, 'DIS': 0.703903903903904, 'PG': 0.36017209588199145, 'AA': 0.58120505826927849, 'C': 1.0978922716627635, 'INTC': 1.0, 'VZ': 0.63626492942453849, 'HPQ': 0.51516483516483524, 'WMT': 0.41775084655141687, 'GE': 0.77206851119894604, 'T': 0.6113719353155973, 'MRK': 0.60772621208192901, 'PFE': 1.2132505175983437, 'GM': 1.371562317144529, 'XOM': 0.26157794888963287, 'JPM': 0.54536993950674739, 'MCD': 0.4053960567277759, 'KO': 0.40302613480055027, 'MMM': 0.30817775440441758, 'JNJ': 0.36139377119950666}, 'VZ': {'AXP': 0.80736357659434588, 'BA': 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players = ['A', 'B', 'C', 'D']