#ifndef SQUARES_H
#define SQUARES_H
//A table of squares from 0 to 10000
float squares[] = { 0.0,1.0,1.4142135623730951,1.7320508075688772,2.0,2.23606797749979,2.449489742783178,2.6457513110645907,2.8284271247461903,3.0,3.1622776601683795,3.3166247903554,3.4641016151377544,3.605551275463989,3.7416573867739413,3.872983346207417,4.0,4.123105625617661,4.242640687119285,4.358898943540674,4.47213595499958,4.58257569495584,4.69041575982343,4.795831523312719,4.898979485566356,5.0,5.0990195135927845,5.196152422706632,5.291502622129181,5.385164807134504,5.477225575051661,5.5677643628300215,5.656854249492381,5.744562646538029,5.830951894845301,5.916079783099616,6.0,6.082762530298219,6.164414002968976,6.244997998398398,6.324555320336759,6.4031242374328485,6.48074069840786,6.557438524302,6.6332495807108,6.708203932499369,6.782329983125268,6.855654600401044,6.928203230275509,7.0,7.0710678118654755,7.14142842854285,7.211102550927978,7.280109889280518,7.3484692283495345,7.416198487095663,7.483314773547883,7.54983443527075,7.615773105863909,7.681145747868608,7.745966692414834,7.810249675906654,7.874007874011811,7.937253933193772,8.0,8.06225774829855,8.12403840463596,8.18535277187245,8.246211251235321,8.306623862918075,8.366600265340756,8.426149773176359,8.48528137423857,8.54400374531753,8.602325267042627,8.660254037844387,8.717797887081348,8.774964387392123,8.831760866327848,8.888194417315589,8.94427190999916,9.0,9.055385138137417,9.1104335791443,9.16515138991168,9.219544457292887,9.273618495495704,9.327379053088816,9.38083151964686,9.433981132056603,9.486832980505138,9.539392014169456,9.591663046625438,9.643650760992955,9.695359714832659,9.746794344808963,9.797958971132712,9.848857801796104,9.899494936611665,9.9498743710662,10.0,10.04987562112089,10.099504938362077,10.14889156509222,10.198039027185569,10.246950765959598,10.295630140987,10.344080432788601,10.392304845413264,10.44030650891055,10.488088481701515,10.535653752852738,10.583005244258363,10.63014581273465,10.677078252031311,10.723805294763608,10.770329614269007,10.816653826391969,10.862780491200215,10.908712114635714,10.954451150103322,11.0,11.045361017187261,11.090536506409418,11.135528725660043,11.180339887498949,11.224972160321824,11.269427669584644,11.313708498984761,11.357816691600547,11.40175425099138,11.445523142259598,11.489125293076057,11.532562594670797,11.575836902790225,11.61895003862225,11.661903789690601,11.704699910719626,11.74734012447073,11.789826122551595,11.832159566199232,11.874342087037917,11.916375287812984,11.958260743101398,12.0,12.041594578792296,12.083045973594572,12.12435565298214,12.165525060596439,12.206555615733702,12.24744871391589,12.288205727444508,12.328828005937952,12.36931687685298,12.409673645990857,12.449899597988733,12.489995996796797,12.529964086141668,12.569805089976535,12.609520212918492,12.649110640673518,12.68857754044952,12.727922061357855,12.767145334803704,12.806248474865697,12.84523257866513,12.884098726725126,12.922847983320086,12.96148139681572,13.0,13.038404810405298,13.076696830622021,13.114877048604,13.152946437965905,13.19090595827292,13.228756555322953,13.2664991614216,13.30413469565007,13.341664064126334,13.379088160259652,13.416407864998739,13.45362404707371,13.490737563232042,13.527749258468683,13.564659966250536,13.601470508735444,13.638181696985855,13.674794331177344,13.711309200802088,13.74772708486752,13.784048752090222,13.820274961085254,13.856406460551018,13.892443989449804,13.92838827718412,13.96424004376894,14.0,14.035668847618199,14.071247279470288,14.106735979665885,14.142135623730951,14.177446878757825,14.212670403551895,14.247806848775006,14.2828568570857,14.317821063276353,14.352700094407323,14.38749456993816,14.422205101855956,14.45683229480096,14.491376746189438,14.52583904633395,14.560219778561036,14.594519519326424,14.628738838327793,14.66287829861518,14.696938456699069,14.730919862656235,14.7648230602334,14.798648586948742,14.832396974191326,14.866068747318506,14.89966442575134,14.933184523068078,14.966629547095765,15.0,15.033296378372908,15.066519173319364,15.0996688705415,15.132745950421556,15.165750888103101,15.198684153570664,15.231546211727817,15.264337522473747,15.297058540778355,15.329709716755891,15.362291495737216,15.394804318340652,15.427248620541512,15.459624833740307,15.491933384829668,15.524174696260024,15.556349186104045,15.588457268119896,15.620499351813308,15.652475842498529,15.684387141358123,15.716233645501712,15.748015748023622,15.7797338380595,15.811388300841896,15.84297951775486,15.874507866387544,15.905973720586866,15.937377450509228,15.968719422671311,16.0,16.0312195418814,16.06237840420901,16.09347693943108,16.1245154965971,16.15549442140351,16.186414056238647,16.217274740226856,16.24807680927192,16.278820596099706,16.30950643030009,16.34013463836819,16.3707055437449,16.401219466856727,16.431676725154983,16.46207763315433,16.492422502470642,16.522711641858304,16.55294535724685,16.583123951777,16.61324772583615,16.64331697709324,16.673332000533065,16.703293088490067,16.73320053068151,16.76305461424021,16.792855623746664,16.822603841260722,16.852299546352718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