Problem:


Score : 400 points

Problem Statement

Give a pair of integers (A, B) such that A^5-B^5 = X.
It is guaranteed that there exists such a pair for the given integer X.

Constraints

1 \leq X \leq 10^9

X is an integer.

There exists a pair of integers (A, B) satisfying the condition in Problem Statement.

Input

Input is given from Standard Input in the following format:

X

Output

Print A and B, with space in between.
If there are multiple pairs of integers (A, B) satisfying the condition, you may print any of them.

A B

Sample Input 1

33

Sample Output 1

2 -1

For A=2 and B=-1, A^5-B^5 = 33.

Sample Input 2

1

Sample Output 2

0 -1



Sample input:
33


Sample output:
2 -1

Submission status: Accepted

Solution code:
def main():
    tmp = [-1000000000000000, -995009990004999, -990039920079968, -985089730404757, -980159361278976, -975248753121875, -970357846472224, -965486581988193, -960634900447232, -955802742745951, -950990049900000, -946196763043949, -941422823431168, -936668172433707, -931932751542176, -927216502365625, -922519366631424, -917841286185143, -913182202990432, -908542059128901, -903920796800000, -899318358320899, -894734686126368, -890169722768657, -885623410917376, -881095693359375, -876586512998624, -872095812856093, -867623536069632, -863169625893851, -858734025700000, -854316678975849, -849917529325568, -845536520469607, -841173596244576, -836828700603125, -832501777613824, -828192771461043, -823901626444832, -819628286980801, -815372697600000, -811134802948799, -806914547788768, -802711876996557, -798526735563776, -794359068596875, -790208821317024, -786075939059993, -781960367276032, -777862051529751, -773780937500000, -769716970979749, -765670097875968, -761640264209507, 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656356768, 714924299, 777600000, 844596301, 916132832, 992436543, 1073741824, 1160290625, 1252332576, 1350125107, 1453933568, 1564031349, 1680700000, 1804229351, 1934917632, 2073071593, 2219006624, 2373046875, 2535525376, 2706784157, 2887174368, 3077056399, 3276800000, 3486784401, 3707398432, 3939040643, 4182119424, 4437053125, 4704270176, 4984209207, 5277319168, 5584059449, 5904900000, 6240321451, 6590815232, 6956883693, 7339040224, 7737809375, 8153726976, 8587340257, 9039207968, 9509900499, 10000000000, 10510100501, 11040808032, 11592740743, 12166529024, 12762815625, 13382255776, 14025517307, 14693280768, 15386239549, 16105100000, 16850581551, 17623416832, 18424351793, 19254145824, 20113571875, 21003416576, 21924480357, 22877577568, 23863536599, 24883200000, 25937424601, 27027081632, 28153056843, 29316250624, 30517578125, 31757969376, 33038369407, 34359738368, 35723051649, 37129300000, 38579489651, 40074642432, 41615795893, 43204003424, 44840334375, 46525874176, 48261724457, 50049003168, 51888844699, 53782400000, 55730836701, 57735339232, 59797108943, 61917364224, 64097340625, 66338290976, 68641485507, 71008211968, 73439775749, 75937500000, 78502725751, 81136812032, 83841135993, 86617093024, 89466096875, 92389579776, 95388992557, 98465804768, 101621504799, 104857600000, 108175616801, 111577100832, 115063617043, 118636749824, 122298103125, 126049300576, 129891985607, 133827821568, 137858491849, 141985700000, 146211169851, 150536645632, 154963892093, 159494694624, 164130859375, 168874213376, 173726604657, 178689902368, 183765996899, 188956800000, 194264244901, 199690286432, 205236901143, 210906087424, 216699865625, 222620278176, 228669389707, 234849287168, 241162079949, 247609900000, 254194901951, 260919263232, 267785184193, 274794888224, 281950621875, 289254654976, 296709280757, 304316815968, 312079600999, 320000000000, 328080401001, 336323216032, 344730881243, 353305857024, 362050628125, 370967703776, 380059617807, 389328928768, 398778220049, 408410100000, 418227202051, 428232184832, 438427732293, 448816553824, 459401384375, 470184984576, 481170140857, 492359665568, 503756397099, 515363200000, 527182965101, 539218609632, 551473077343, 563949338624, 576650390625, 589579257376, 602738989907, 616132666368, 629763392149, 643634300000, 657748550151, 672109330432, 686719856393, 701583371424, 716703146875, 732082482176, 747724704957, 763633171168, 779811265199, 796262400000, 812990017201, 829997587232, 847288609443, 864866612224, 882735153125, 900897818976, 919358226007, 938120019968, 957186876249, 976562500000, 996250626251, 1016255020032, 1036579476493, 1057227821024, 1078203909375, 1099511627776, 1121154893057, 1143137652768, 1165463885299, 1188137600000, 1211162837301, 1234543668832, 1258284197543, 1282388557824, 1306860915625, 1331705468576, 1356926446107, 1382528109568, 1408514752349, 1434890700000, 1461660310351, 1488827973632, 1516398112593, 1544375182624, 1572763671875, 1601568101376, 1630793025157, 1660443030368, 1690522737399, 1721036800000, 1751989905401, 1783386774432, 1815232161643, 1847530855424, 1880287678125, 1913507486176, 1947195170207, 1981355655168, 2015993900449, 2051114900000, 2086723682451, 2122825311232, 2159424884693, 2196527536224, 2234138434375, 2272262782976, 2310905821257, 2350072823968, 2389769101499, 2430000000000, 2470770901501, 2512087224032, 2553954421743, 2596377985024, 2639363440625, 2682916351776, 2727042318307, 2771746976768, 2817036000549, 2862915100000, 2909390022551, 2956466552832, 3004150512793, 3052447761824, 3101364196875, 3150905752576, 3201078401357, 3251888153568, 3303341057599, 3355443200000, 3408200705601, 3461619737632, 3515706497843, 3570467226624, 3625908203125, 3682035745376, 3738856210407, 3796375994368, 3854601532649, 3913539300000, 3973195810651, 4033577618432, 4094691316893, 4156543539424, 4219140959375, 4282490290176, 4346598285457, 4411471739168, 4477117485699, 4543542400000, 4610753397701, 4678757435232, 4747561509943, 4817172660224, 4887597965625, 4958844546976, 5030919566507, 5103830227968, 5177583776749, 5252187500000, 5327648726751, 5403974828032, 5481173216993, 5559251349024, 5638216721875, 5718076875776, 5798839393557, 5880511900768, 5963102065799, 6046617600000, 6131066257801, 6216455836832, 6302794178043, 6390089165824, 6478348728125, 6567580836576, 6657793506607, 6748994797568, 6841192812849, 6934395700000, 7028611650851, 7123848901632, 7220115733093, 7317420470624, 7415771484375, 7515177189376, 7615646045657, 7717186558368, 7819807277899, 7923516800000, 8028323765901, 8134236862432, 8241264822143, 8349416423424, 8458700490625, 8569125894176, 8680701550707, 8793436423168, 8907339520949, 9022419900000, 9138686662951, 9256148959232, 9374815985193, 9494696984224, 9615801246875, 9738138110976, 9861716961757, 9986547231968, 10112638401999, 10240000000000, 10368641602001, 10498572832032, 10629803362243, 10762342913024, 10896201253125, 11031388199776, 11167913618807, 11305787424768, 11445019581049, 11585620100000, 11727599043051, 11870966520832, 12015732693293, 12161907769824, 12309502009375, 12458525720576, 12608989261857, 12760903041568, 12914277518099, 13069123200000, 13225450646101, 13383270465632, 13542593318343, 13703429914624, 13865791015625, 14029687433376, 14195130030907, 14362129722368, 14530697473149, 14700844300000, 14872581271151, 15045919506432, 15220870177393, 15397444507424, 15575653771875, 15755509298176, 15937022465957, 16120204707168, 16305067506199, 16491622400000, 16679880978201, 16869854883232, 17061555810443, 17254995508224, 17450185778125, 17647138474976, 17845865507007, 18046378835968, 18248690477249, 18452812500000, 18658757027251, 18866536236032, 19076162357493, 19287647677024, 19501004534375, 19716245323776, 19933382494057, 20152428548768, 20373396046299, 20596297600000, 20821145878301, 21047953604832, 21276733558543, 21507498573824, 21740261540625, 21975035404576, 22211833167107, 22450667885568, 22691552673349, 22934500700000, 23179525191351, 23426639429632, 23675856753593, 23927190558624, 24180654296875, 24436261477376, 24694025666157, 24953960486368, 25216079618399, 25480396800000, 25746925826401, 26015680550432, 26286674882643, 26559922791424, 26835438303125, 27113235502176, 27393328531207, 27675731591168, 27960458941449, 28247524900000, 28536943843451, 28828730207232, 29122898485693, 29419463232224, 29718439059375, 30019840638976, 30323682702257, 30629980039968, 30938747502499, 31250000000000, 31563752502501, 31880020040032, 32198817702743, 32520160641024, 32844064065625, 33170543247776, 33499613519307, 33831290272768, 34165588961549, 34502525100000, 34842114263551, 35184372088832, 35529314273793, 35876956577824, 36227314821875, 36580404888576, 36936242722357, 37294844329568, 37656225778599, 38020403200000, 38387392786601, 38757210793632, 39129873538843, 39505397402624, 39883798828125, 40265094321376, 40649300451407, 41036433850368, 41426511213649, 41819549300000, 42215564931651, 42614574994432, 43016596437893, 43421646275424, 43829741584375, 44240899506176, 44655137246457, 45072472075168, 45492921326699, 45916502400000, 46343232758701, 46773129931232, 47206211510943, 47642495156224, 48081998590625, 48524739602976, 48970736047507, 49420005843968, 49872566977749, 50328437500000, 50787635527751, 51250179244032, 51716086897993, 52185376805024, 52658067346875, 53134176971776, 53613724194557, 54096727596768, 54583205826799, 55073177600000, 55566661698801, 56063676972832, 56564242339043, 57068376781824, 57576099353125, 58087429172576, 58602385427607, 59120987373568, 59643254333849, 60169205700000, 60698860931851, 61232239557632, 61769361174093, 62310245446624, 62854912109375, 63403380965376, 63955671886657, 64511804814368, 65071799758899, 65635676800000, 66203456086901, 66775157838432, 67350802343143, 67930409959424, 68514001115625, 69101596310176, 69693216111707, 70288881159168, 70888612161949, 71492429900000, 72100355223951, 72712409055232, 73328612386193, 73948986280224, 74573551871875, 75202330366976, 75835343042757, 76472611247968, 77114156402999, 77760000000000, 78410163603001, 79064668848032, 79723537443243, 80386791169024, 81054451878125, 81726541495776, 82403082019807, 83084095520768, 83769604142049, 84459630100000, 85154195684051, 85853323256832, 86557035254293, 87265354185824, 87978302634375, 88695903256576, 89418178782857, 90145152017568, 90876845839099, 91613283200000, 92354487127101, 93100480721632, 93851287159343, 94606929690624, 95367431640625, 96132816409376, 96903107471907, 97678328378368, 98458502754149, 99243654300000, 100033806792151, 100828984082432, 101629210098393, 102434508843424, 103244904396875, 104060420914176, 104881082626957, 105706913843168, 106537938947199, 107374182400000, 108215668739201, 109062422579232, 109914468611443, 110771831604224, 111634536403125, 112502607930976, 113376071188007, 114254951251968, 115139273278249, 116029062500000, 116924344228251, 117825143852032, 118731486838493, 119643398733024, 120560905159375, 121484031819776, 122412804495057, 123347249044768, 124287391407299, 125233257600000, 126184873719301, 127142265940832, 128105460519543, 129074483789824, 130049362165625, 131030122140576, 132016790288107, 133009393261568, 134007957794349, 135012510700000, 136023078872351, 137039689285632, 138062368994593, 139091145134624, 140126044921875, 141167095653376, 142214324707157, 143267759542368, 144327427699399, 145393356800000, 146465574547401, 147544108726432, 148628987203643, 149720237927424, 150817888928125, 151921968318176, 153032504292207, 154149525127168, 155273059182449, 156403134900000, 157539780804451, 158683025503232, 159832897686693, 160989426128224, 162152639684375, 163322567294976, 164499237983257, 165682680855968, 166872925103499, 168070000000000, 169273934903501, 170484759256032, 171702502583743, 172927194497024, 174158864690625, 175397542943776, 176643259120307, 177896043168768, 179155925122549, 180422935100000, 181697103304551, 182978460024832, 184267035634793, 185562860593824, 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    x = int(input())
    for i in range(1000,2001):
        for j in range(2001):
            if tmp[i] - tmp[j] == x:
                print(i-1000,j-1000)
                exit()

if __name__ == '__main__':
    main()