Sums of two squares

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Problem

Given n (2 ≤ n ≤ 10^18) and its prime factorization, print all ways to express n as a^2 + b^2 with 0 ≤ a ≤ b. If there is no such (a, b), print a blank line.

-- mitchs

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rejudge feature is enabled

now post-mortem time, all source codes will be revealed

Sample input:_

423333615550625
[[5, 4], [13, 1], [52102598837, 1]]
5102318162
[[2, 1], [53, 2], [953, 2]]
7496445266560
[[2, 7], [5, 1], [29, 1], [53, 3], [2713, 1]]
443267647302669989
[[157104733, 1], [2821478633, 1]]
183267228059339524
[[2, 2], [53, 4], [181, 2], [421, 2]]
5507023928023165
[[5, 1], [29, 1], [61, 1], [937, 2], [709153, 1]]
241741970484711840
[[2, 5], [3, 2], [5, 1], [11, 2], [13, 1], [89, 1], [149, 2], [54013, 1]]
6560149545982152
[[2, 3], [3, 2], [17, 1], [113, 1], [47430082321, 1]]
27982932961
[[409, 4]]
9062708591885
[[5, 1], [13, 1], [17, 1], [137, 2], [436973, 1]]
182519618
[[2, 1], [41, 2], [233, 2]]
12298942362500
[[2, 2], [5, 5], [73, 1], [157, 1], [293, 2]]
77531660905535929
[[653, 6]]
298023223876953125
[[5, 25]]
68944830
[[2, 1], [3, 1], [5, 1], [2298161, 1]]
134529286412800
[[2, 9], [5, 2], [101, 5]]
741041428140937153
[[689864563, 1], [1074183931, 1]]
5096486147537525
[[5, 2], [13, 1], [17, 1], [29, 1], [31808307989, 1]]
298644903248888641
[[97, 4], [241, 4]]
423966820044684821
[[423966820044684821, 1]]
30453350449056209
[[197, 6], [521, 1]]
27849872607261721
[[373, 2], [541, 2], [827, 2]]
62207803037764
[[2, 2], [53, 1], [89, 1], [293, 1], [773, 1], [14557, 1]]
70110119487808693
[[29, 6], [401, 2], [733, 1]]
14658108544181321
[[157, 2], [179, 2], [257, 2], [281, 1]]
3029873221
[[569, 1], [5324909, 1]]
878846506937917093
[[11614151, 1], [75670318643, 1]]
111059427006433
[[37, 1], [79, 2], [661, 1], [853, 2]]
47535673704077653
[[569, 5], [797, 1]]
762731166937744
[[2, 4], [17, 2], [461, 2], [881, 2]]
721089454498201097
[[721089454498201097, 1]]
1648232235520000
[[2, 12], [5, 4], [13, 1], [509, 1], [97301, 1]]
62410398697289
[[89, 3], [97, 4]]
26629566647995397
[[29, 2], [317, 3], [997, 2]]
175899094092098401
[[109018813, 1], [1613474677, 1]]
10828022035216
[[2, 4], [907, 4]]
8
[[2, 3]]
4520397636000
[[2, 5], [3, 2], [5, 3], [125566601, 1]]
1167061975328
[[2, 5], [353, 2], [541, 2]]
10753551933523792
[[2, 4], [17, 2], [281, 4], [373, 1]]
594315788717309977
[[37, 1], [349, 1], [3102193, 1], [14836153, 1]]
8116616326400
[[2, 8], [5, 2], [17, 2], [29, 1], [389, 2]]
13951514882
[[2, 1], [17, 8]]
920220929444318881
[[920220929444318881, 1]]
5058765625
[[5, 6], [569, 2]]
8834715025
[[5, 2], [601, 1], [617, 1], [953, 1]]
126775837452456448
[[2, 9], [53, 1], [109, 1], [317, 1], [337, 1], [421, 1], [953, 1]]
786025495607420116
[[2, 2], [281, 1], [653, 1], [72817, 1], [14707009, 1]]
1790907709504
[[2, 6], [409, 4]]
390625
[[5, 8]]
380689
[[617, 2]]
26821522925
[[5, 2], [37, 1], [1861, 1], [15581, 1]]
1416686178261796
[[2, 2], [13, 1], [53, 1], [197, 1], [389, 1], [757, 1], [8861, 1]]
793
[[13, 1], [61, 1]]
96241731347227010
[[2, 1], [5, 1], [29, 1], [197, 1], [829, 1], [10333, 1], [196661, 1]]
50
[[2, 1], [5, 2]]
350297250732916337
[[27607357, 1], [12688547141, 1]]
313788397
[[13, 1], [17, 6]]
420707233300201
[[29, 10]]
101340632573021074
[[2, 1], [137, 3], [229, 2], [613, 2]]
288118579951550365
[[5, 1], [29, 1], [73, 1], [5861, 1], [4644176129, 1]]
134491888432727426
[[2, 1], [97, 3], [521, 4]]
17386846816015625
[[5, 8], [13, 2], [641, 3]]
53645634165124
[[2, 2], [101, 4], [359, 2]]
22532274771068099
[[22532274771068099, 1]]
628040900436625
[[5, 3], [13, 1], [17, 2], [53, 1], [25232533, 1]]
37799092509277657
[[193298309, 1], [195547973, 1]]
587571075531358801
[[37, 8], [409, 2]]
5679785399364
[[2, 2], [3, 2], [17, 2], [41, 3], [89, 2]]
3600765755
[[5, 1], [41, 1], [683, 1], [25717, 1]]
31148583971940125
[[5, 3], [239, 2], [257, 4]]
82128677
[[317, 1], [509, 2]]
293017140
[[2, 2], [3, 2], [5, 1], [13, 1], [125221, 1]]
2530956139514881
[[13, 2], [157, 6]]
89657955937411693
[[13, 5], [701, 4]]
252025
[[5, 2], [17, 1], [593, 1]]
850
[[2, 1], [5, 2], [17, 1]]
841677132197941
[[13, 1], [149, 1], [661, 1], [761, 1], [863833, 1]]
12989482753273744
[[2, 4], [53, 2], [613, 2], [877, 2]]
28438584897437732
[[2, 2], [17, 1], [73, 2], [457, 2], [613, 2]]
199134155265625
[[5, 6], [73, 3], [181, 2]]
1417639743988
[[2, 2], [13, 5], [977, 2]]
19047485704
[[2, 3], [13, 2], [61, 1], [97, 1], [2381, 1]]
4321449
[[3, 2], [11, 1], [43651, 1]]
569269448469381691
[[569269448469381691, 1]]
17840120130924488
[[2, 3], [349, 3], [353, 2], [421, 1]]
990797760730470409
[[990797760730470409, 1]]
28541061481
[[241, 2], [701, 2]]
914175363295887848
[[2, 3], [17, 1], [137, 1], [181, 1], [1621, 1], [12641, 1], [13229, 1]]
259923479590154
[[2, 1], [37, 9]]
127
[[127, 1]]
49737714448
[[2, 4], [61, 1], [653, 1], [78041, 1]]
125857950100
[[2, 2], [5, 2], [41, 1], [30697061, 1]]
805295804125304384
[[2, 6], [17, 7], [313, 3]]
846517366161749
[[269, 5], [601, 1]]
452660547281
[[29, 6], [761, 1]]
13413748924273469
[[41, 2], [311, 2], [317, 2], [821, 1]]
60668924435810
[[2, 1], [5, 1], [17, 1], [2333, 1], [152968721, 1]]
927215170524688897
[[29236313, 1], [31714504169, 1]]
689618665018313549
[[689618665018313549, 1]]

Sample output:

290980^2 + 20573015^2 = 1012439^2 + 20550148^2 = 4782100^2 + 20011625^2 = 6039785^2 + 19668620^2 = 6969344^2 + 19358767^2 = 8181295^2 + 18878560^2 = 10194071^2 + 17872172^2 = 12111025^2 + 16633000^2 = 12576593^2 + 16283824^2 = 13140040^2 + 15832655^2
5989^2 + 71179^2 = 16201^2 + 69569^2 = 32519^2 + 63599^2 = 42689^2 + 57271^2 = 50509^2 + 50509^2
65672^2 + 2737176^2 = 205192^2 + 2730264^2 = 249544^2 + 2726568^2 = 441384^2 + 2702152^2 = 517816^2 + 2688552^2 = 749208^2 + 2633464^2 = 755144^2 + 2631768^2 = 980712^2 + 2556296^2 = 1052792^2 + 2527464^2 = 1268184^2 + 2426552^2 = 1390296^2 + 2358712^2 = 1589768^2 + 2229144^2 = 1652328^2 + 2183176^2 = 1802312^2 + 2061096^2 = 1835576^2 + 2031528^2 = 1840152^2 + 2027384^2
196721510^2 + 636056833^2 = 382434158^2 + 544987855^2
0^2 + 428097218^2 = 15505680^2 + 427816318^2 = 29488882^2 + 427080360^2 = 44938382^2 + 425732040^2 = 74157600^2 + 421625282^2 = 119743618^2 + 411009360^2 = 147771000^2 + 401784718^2 = 159781432^2 + 397161330^2 = 162226680^2 + 396168818^2 = 175096382^2 + 390651360^2 = 186759810^2 + 385211632^2 = 189130882^2 + 384053040^2 = 200589630^2 + 378194432^2 = 202917182^2 + 376950720^2 = 212850968^2 + 371431950^2 = 215136600^2 + 370112782^2 = 226164568^2 + 363478770^2 = 228400920^2 + 362077682^2 = 239181368^2 + 355048590^2 = 250665090^2 + 347036368^2 = 252799618^2 + 345484560^2 = 263070270^2 + 337729568^2 = 285709432^2 + 318806130^2
1457386^2 + 74195013^2 = 1520862^2 + 74193739^2 = 7188203^2 + 73860366^2 = 11883269^2 + 73251702^2 = 13717838^2 + 72930411^2 = 14812923^2 + 72715894^2 = 15543893^2 + 72563154^2 = 18442971^2 + 71881018^2 = 20389446^2 + 71353307^2 = 23944098^2 + 70240331^2 = 26644341^2 + 69261122^2 = 28374234^2 + 68570597^2 = 30086133^2 + 67836926^2 = 31102778^2 + 67376859^2 = 31779198^2 + 67060469^2 = 34444406^2 + 65731323^2 = 36217861^2 + 64771062^2 = 39422293^2 + 62872146^2 = 41825806^2 + 61299477^2 = 43351099^2 + 60230442^2 = 44848978^2 + 59123541^2 = 45732933^2 + 58442474^2 = 50066782^2 + 54775371^2 = 50113626^2 + 54732517^2
2918388^2 + 491663964^2 = 31809756^2 + 490642548^2 = 54067332^2 + 488690796^2 = 78453276^2 + 485373108^2 = 89942556^2 + 483375948^2 = 92419932^2 + 482908404^2 = 114263556^2 + 478211052^2 = 116468484^2 + 477678828^2 = 138049692^2 + 471894324^2 = 142171788^2 + 470668836^2 = 165545556^2 + 462965052^2 = 186407628^2 + 454966116^2 = 218071524^2 + 440666292^2 = 228461244^2 + 435370452^2 = 249960612^2 + 423393036^2 = 252128316^2 + 422105772^2 = 268937724^2 + 411599892^2 = 271044708^2 + 410215476^2 = 291231996^2 + 396138732^2 = 292663668^2 + 395082204^2 = 294685644^2 + 393576348^2 = 312261972^2 + 379782084^2 = 314010708^2 + 378337476^2 = 330874764^2 + 363680988^2
3962694^2 + 80897754^2 = 6811014^2 + 80707866^2 = 31970454^2 + 74418006^2 = 41566026^2 + 69515574^2
0^2 + 167281^2 = 49080^2 + 159919^2 = 93840^2 + 138481^2
28222^2 + 3010301^2 = 190781^2 + 3004382^2 = 314141^2 + 2993998^2 = 432509^2 + 2979202^2 = 466723^2 + 2974034^2 = 475402^2 + 2972659^2 = 592798^2 + 2951491^2 = 713038^2 + 2924771^2 = 924451^2 + 2864978^2 = 979426^2 + 2846653^2 = 987731^2 + 2843782^2 = 1099619^2 + 2802418^2 = 1131757^2 + 2789594^2 = 1411042^2 + 2659261^2 = 1441514^2 + 2642867^2 = 1545086^2 + 2583683^2 = 1552621^2 + 2579162^2 = 1582163^2 + 2561146^2 = 1682387^2 + 2496454^2 = 1783603^2 + 2425174^2 = 1911994^2 + 2325293^2 = 1955254^2 + 2289037^2 = 2005514^2 + 2245133^2 = 2092886^2 + 2163917^2
1303^2 + 13447^2 = 4223^2 + 12833^2 = 6937^2 + 11593^2 = 7223^2 + 11417^2 = 9553^2 + 9553^2
51950^2 + 3506600^2 = 121888^2 + 3504866^2 = 137710^2 + 3504280^2 = 301970^2 + 3493960^2 = 311200^2 + 3493150^2 = 387346^2 + 3485528^2 = 432158^2 + 3480256^2 = 559600^2 + 3462050^2 = 679330^2 + 3440560^2 = 694856^2 + 3437458^2 = 864350^2 + 3398800^2 = 931976^2 + 3380882^2 = 947230^2 + 3376640^2 = 1031720^2 + 3351790^2 = 1104610^2 + 3328480^2 = 1113400^2 + 3325550^2 = 1185698^2 + 3300464^2 = 1268200^2 + 3269650^2 = 1276834^2 + 3266288^2 = 1347800^2 + 3237650^2 = 1506590^2 + 3166880^2 = 1520872^2 + 3160046^2 = 1629550^2 + 3105400^2 = 1781440^2 + 3020830^2 = 1846930^2 + 2981240^2 = 1854800^2 + 2976350^2 = 1992400^2 + 2886050^2 = 2000018^2 + 2880776^2 = 2062400^2 + 2836450^2 = 2132974^2 + 2783768^2 = 2145520^2 + 2774110^2 = 2200430^2 + 2730760^2 = 2212736^2 + 2720798^2 = 2337952^2 + 2613986^2 = 2344850^2 + 2607800^2 = 2433880^2 + 2524910^2
0^2 + 278445077^2 = 16879148^2 + 277933005^2 = 134318835^2 + 243905948^2 = 148857227^2 + 235315080^2
15298750^2 + 545700625^2 = 56640625^2 + 542968750^2 = 97656250^2 + 537109375^2 = 138109375^2 + 528156250^2 = 167482975^2 + 519588950^2 = 177766990^2 + 516160945^2 = 206406250^2 + 505390625^2 = 244140625^2 + 488281250^2 = 280468750^2 + 468359375^2 = 306268562^2 + 451910159^2 = 315181375^2 + 445739750^2 = 339659375^2 + 427381250^2 = 371093750^2 + 400390625^2

489648^2 + 11588336^2 = 1814768^2 + 11455824^2 = 2774672^2 + 11261904^2 = 3283920^2 + 11124080^2 = 4047312^2 + 10869616^2 = 4949808^2 + 10489456^2 = 5421680^2 + 10253520^2 = 6928912^2 + 9301584^2 = 7344720^2 + 8976880^2

597943^2 + 71387174^2 = 1974121^2 + 71362378^2 = 7313239^2 + 71014102^2 = 7378634^2 + 71007337^2 = 8963350^2 + 70824745^2 = 10327130^2 + 70638775^2 = 15652745^2 + 69652550^2 = 18966425^2 + 68824130^2 = 20562434^2 + 68364263^2 = 21876622^2 + 67955129^2 = 26121338^2 + 66439159^2 = 26904658^2 + 66125831^2 = 26965543^2 + 66101026^2 = 29269334^2 + 65113687^2 = 34121561^2 + 62707298^2 = 35324167^2 + 62037806^2 = 36701495^2 + 61233050^2 = 36757870^2 + 61199225^2 = 41238130^2 + 58274375^2 = 42353950^2 + 57468505^2 = 43679449^2 + 56467618^2 = 46330393^2 + 54313726^2 = 49665527^2 + 51281786^2 = 50314742^2 + 50644969^2
0^2 + 546484129^2 = 55699679^2 + 543638160^2 = 111760296^2 + 534934145^2 = 115599265^2 + 534117696^2 = 165700735^2 + 520757304^2 = 169436496^2 + 519553825^2 = 222387329^2 + 499188120^2 = 225966720^2 + 497578079^2 = 272108280^2 + 473921921^2 = 275504929^2 + 471955440^2 = 318995071^2 + 443719560^2 = 322173600^2 + 441417121^2 = 366200705^2 + 405637704^2
29366345^2 + 650464786^2
13075625^2 + 174018328^2 = 37676447^2 + 170393180^2 = 61512265^2 + 163308272^2 = 84099103^2 + 152907460^2 = 104231072^2 + 139961545^2 = 104978345^2 + 139401928^2 = 123065900^2 + 123726047^2
0^2 + 166882811^2 = 9977755^2 + 166584264^2 = 24452736^2 + 165081605^2 = 105188611^2 + 129557820^2 = 112746564^2 + 123036925^2
498990^2 + 7871392^2 = 662608^2 + 7859310^2 = 1341442^2 + 7772280^2 = 1892208^2 + 7656850^2 = 2200040^2 + 7574142^2 = 2468520^2 + 7490942^2 = 2967150^2 + 7307792^2 = 3617560^2 + 7008642^2 = 3762558^2 + 6931880^2 = 3897792^2 + 6856750^2 = 4039570^2 + 6774192^2 = 4582142^2 + 6419640^2 = 4714680^2 + 6322942^2 = 5056110^2 + 6053392^2 = 5268590^2 + 5869392^2 = 5501442^2 + 5651720^2
6034697^2 + 264714378^2 = 6663417^2 + 264699298^2 = 6877698^2 + 264693817^2 = 19559978^2 + 264059703^2 = 19773737^2 + 264043782^2 = 32410023^2 + 262792142^2 = 33034103^2 + 262714422^2 = 45802542^2 + 260791577^2 = 58462057^2 + 258248538^2 = 135767847^2 + 227326222^2 = 146688902^2 + 220437033^2 = 157261113^2 + 213023618^2 = 157766633^2 + 212649498^2 = 167459338^2 + 205103607^2 = 167780247^2 + 204841178^2 = 167946018^2 + 204705287^2 = 177567058^2 + 196418073^2 = 177726007^2 + 196274262^2 = 178191687^2 + 195851582^2 = 186931593^2 + 187527862^2 = 187083342^2 + 187376473^2
17419564^2 + 119810965^2 = 21442589^2 + 119156720^2 = 32202100^2 + 116709611^2 = 36112355^2 + 115559536^2 = 46483436^2 + 111791765^2 = 50220061^2 + 110163760^2 = 65432555^2 + 101866036^2 = 77607061^2 + 92926060^2 = 82539764^2 + 88573675^2
23265^2 + 49886^2 = 36145^2 + 41514^2

741257^2 + 10512372^2 = 1658052^2 + 10407223^2 = 1806888^2 + 10382417^2 = 3245952^2 + 10026127^2 = 4110607^2 + 9703728^2 = 6322212^2 + 8431433^2
30537282^2 + 215877623^2 = 38203798^2 + 214653543^2 = 52230217^2 + 211678242^2 = 115548537^2 + 184889722^2 = 122057897^2 + 180658638^2 = 133668518^2 + 172245177^2
0^2 + 27617588^2 = 1292820^2 + 27587312^2 = 1595060^2 + 27571488^2 = 3083500^2 + 27444912^2 = 4663440^2 + 27221012^2 = 8695088^2 + 26213100^2 = 11567412^2 + 25078400^2 = 12728688^2 + 24509420^2 = 12996512^2 + 24368460^2 = 14122988^2 + 23733360^2 = 14295088^2 + 23630100^2 = 15635988^2 + 22765040^2 = 16684512^2 + 22008140^2 = 16924688^2 + 21823980^2
263725309^2 + 807179296^2
46400^2 + 40598400^2 = 2070400^2 + 40545600^2 = 4543168^2 + 40343424^2 = 6548864^2 + 40066752^2 = 7973760^2 + 39807680^2 = 9365184^2 + 39503488^2 = 9948480^2 + 39360640^2 = 11323008^2 + 38987456^2 = 11412096^2 + 38961472^2 = 13340352^2 + 38344064^2 = 15657600^2 + 37457600^2 = 17505600^2 + 36630400^2 = 18800960^2 + 35982720^2 = 20571520^2 + 35000640^2 = 22671040^2 + 33678720^2 = 24321920^2 + 32506560^2 = 24396160^2 + 32450880^2 = 25519424^2 + 31575168^2 = 25983680^2 + 31194240^2 = 27061888^2 + 30263616^2
22915^2 + 7899992^2 = 827992^2 + 7856515^2 = 1381280^2 + 7778333^2 = 1624445^2 + 7731208^2 = 2166883^2 + 7597040^2 = 3482392^2 + 7091075^2 = 4187005^2 + 6699208^2 = 4650083^2 + 6386480^2 = 4848008^2 + 6237565^2 = 5276800^2 + 5879267^2
49489^2 + 163185674^2 = 7298894^2 + 163022369^2 = 7906114^2 + 162994049^2 = 15486401^2 + 162449186^2 = 23387626^2 + 161501039^2 = 38560514^2 + 158564351^2 = 45661631^2 + 156667106^2 = 46244911^2 + 156495926^2 = 53481074^2 + 154173089^2 = 60933649^2 + 151382486^2 = 67598594^2 + 148526081^2 = 74980961^2 + 144939374^2 = 81431594^2 + 141415919^2 = 81957814^2 + 141111599^2 = 100819631^2 + 128315894^2 = 107143814^2 + 123084401^2 = 112577681^2 + 118134806^2 = 113016961^2 + 117714626^2
11098924^2 + 419256375^2 = 89205999^2 + 409806520^2
0^2 + 3290596^2
2^2 + 2^2
33420^2 + 2125860^2 = 627324^2 + 2031468^2 = 1248780^2 + 1720740^2 = 1302252^2 + 1680636^2
101708^2 + 1075508^2 = 111548^2 + 1074532^2 = 598948^2 + 899068^2 = 756868^2 + 770852^2 = 763892^2 + 763892^2
1206456^2 + 103692316^2 = 10783656^2 + 103137116^2 = 12317916^2 + 102965144^2 = 24133404^2 + 100852024^2 = 24668824^2 + 100722396^2 = 26165596^2 + 100343976^2 = 35625564^2 + 97387736^2 = 37585436^2 + 96648264^2 = 47731864^2 + 92060964^2 = 48501724^2 + 91657704^2 = 49860904^2 + 90925476^2 = 58050104^2 + 85928676^2 = 67590616^2 + 78645156^2 = 68753956^2 + 77630184^2 = 69165384^2 + 77263844^2
109411389^2 + 763115284^2 = 143999589^2 + 757350584^2 = 207891064^2 + 742359141^2 = 267241341^2 + 723116764^2 = 318258021^2 + 702159256^2 = 437418836^2 + 634807491^2 = 487320219^2 + 597356504^2 = 528782211^2 + 560985884^2
76064^2 + 2847952^2 = 112336^2 + 2846752^2 = 161824^2 + 2844368^2 = 311200^2 + 2831920^2 = 360400^2 + 2826080^2 = 546400^2 + 2796080^2 = 641072^2 + 2775904^2 = 689248^2 + 2764336^2 = 692704^2 + 2763472^2 = 740656^2 + 2751008^2 = 788384^2 + 2737712^2 = 870448^2 + 2712736^2 = 1011920^2 + 2663200^2 = 1058080^2 + 2645200^2 = 1103920^2 + 2626400^2 = 1240528^2 + 2564704^2 = 1407328^2 + 2477104^2 = 1438768^2 + 2458976^2 = 1450192^2 + 2452256^2 = 1481312^2 + 2433584^2 = 1523408^2 + 2407456^2 = 1647920^2 + 2324000^2 = 1797920^2 + 2210000^2 = 1836080^2 + 2178400^2 = 1909024^2 + 2114768^2 = 1948112^2 + 2078816^2 = 1983968^2 + 2044624^2
22831^2 + 115889^2 = 34391^2 + 112999^2 = 45601^2 + 108959^2 = 74681^2 + 91511^2 = 83521^2 + 83521^2
571073559^2 + 770776180^2
0^2 + 71125^2 = 4147^2 + 71004^2 = 9520^2 + 70485^2 = 15900^2 + 69325^2 = 19915^2 + 68280^2 = 25036^2 + 66573^2 = 28875^2 + 65000^2 = 34675^2 + 62100^2 = 42675^2 + 56900^2 = 45920^2 + 54315^2 = 49907^2 + 50676^2
176^2 + 93993^2 = 5620^2 + 93825^2 = 16169^2 + 92592^2 = 21505^2 + 91500^2 = 26487^2 + 90184^2 = 37696^2 + 86103^2 = 41448^2 + 84361^2 = 42620^2 + 83775^2 = 51799^2 + 78432^2 = 56255^2 + 75300^2 = 60297^2 + 72104^2 = 60791^2 + 71688^2
1920432^2 + 356050768^2 = 5687952^2 + 356010512^2 = 7448368^2 + 355978032^2 = 18848848^2 + 355556688^2 = 22610192^2 + 355337328^2 = 31951728^2 + 354619408^2 = 49495792^2 + 352598928^2 = 73666512^2 + 348351952^2 = 78703152^2 + 347248688^2 = 82373232^2 + 346396432^2 = 89536752^2 + 344614288^2 = 91458832^2 + 344109168^2 = 102435952^2 + 341002512^2 = 106038608^2 + 339899472^2 = 113062352^2 + 337628112^2 = 114945072^2 + 336991792^2 = 131513008^2 + 330877872^2 = 153992688^2 + 321032848^2 = 168528048^2 + 313646512^2 = 183251632^2 + 305278032^2 = 189732848^2 + 301292688^2 = 191220432^2 + 300350768^2 = 194387952^2 + 298310512^2 = 203845008^2 + 291929872^2 = 211455472^2 + 286465392^2 = 214474928^2 + 284211792^2 = 225399408^2 + 275628272^2 = 228303408^2 + 273227728^2 = 235413328^2 + 267126192^2 = 243850288^2 + 259447248^2 = 246582032^2 + 256852368^2 = 250275568^2 + 253254768^2
4165390^2 + 886571004^2 = 149151140^2 + 873944754^2 = 237696750^2 + 854122796^2 = 290931310^2 + 837486996^2 = 391169746^2 + 795620340^2 = 431320780^2 + 774588846^2 = 508233330^2 + 726446404^2 = 620231580^2 + 633512654^2
0^2 + 1338248^2 = 392640^2 + 1279352^2 = 750720^2 + 1107848^2
0^2 + 625^2 = 175^2 + 600^2 = 220^2 + 585^2 = 336^2 + 527^2 = 375^2 + 500^2
0^2 + 617^2 = 105^2 + 608^2
18230^2 + 162755^2 = 23555^2 + 162070^2 = 27526^2 + 161443^2 = 32803^2 + 160454^2 = 70030^2 + 148045^2 = 71629^2 + 147278^2 = 74845^2 + 145670^2 = 76418^2 + 144851^2 = 78398^2 + 143789^2 = 83069^2 + 141142^2 = 112237^2 + 119266^2 = 115523^2 + 116086^2
497786^2 + 37635600^2 = 633514^2 + 37633560^2 = 733910^2 + 37631736^2 = 1355664^2 + 37614470^2 = 3497514^2 + 37476040^2 = 4622214^2 + 37354000^2 = 4721850^2 + 37341536^2 = 4856490^2 + 37324264^2 = 5338264^2 + 37258410^2 = 6688120^2 + 37039914^2 = 8788550^2 + 36598464^2 = 10100264^2 + 36258390^2 = 10579680^2 + 36121414^2 = 13889664^2 + 34982330^2 = 14015736^2 + 34932010^2 = 14091450^2 + 34901536^2 = 15151200^2 + 34454714^2 = 15718486^2 + 34199640^2 = 17642336^2 + 33248070^2 = 17714390^2 + 33209736^2 = 18720760^2 + 32653014^2 = 18838400^2 + 32585286^2 = 18909014^2 + 32544360^2 = 19257786^2 + 32339200^2 = 19460310^2 + 32217736^2 = 20419770^2 + 31618336^2 = 22188840^2 + 30402986^2 = 22254714^2 + 30354800^2 = 22768250^2 + 29971536^2 = 23658710^2 + 29273736^2 = 23841914^2 + 29124720^2 = 26431160^2 + 26797014^2
3^2 + 28^2 = 8^2 + 27^2
23144567^2 + 309363961^2 = 31745191^2 + 308600023^2 = 47620079^2 + 306551887^2 = 54027529^2 + 305487737^2 = 66880109^2 + 302933627^2 = 67706951^2 + 302749897^2 = 74030401^2 + 301266047^2 = 75284837^2 + 300955021^2 = 89470729^2 + 297046663^2 = 90707453^2 + 296671349^2 = 96898603^2 + 294707299^2 = 97702873^2 + 294441641^2 = 99305497^2 + 293905001^2 = 105436847^2 + 291761551^2 = 110050013^2 + 290052971^2 = 116098363^2 + 287685421^2 = 120345143^2 + 285934919^2 = 128256089^2 + 282474967^2 = 130782227^2 + 281314309^2 = 138560539^2 + 277565683^2 = 138916223^2 + 277387841^2 = 140070619^2 + 276806707^2 = 145835069^2 + 273813557^2 = 146582111^2 + 273414367^2 = 159763861^2 + 265927133^2 = 160489319^2 + 265489943^2 = 166012369^2 + 262071793^2 = 167102723^2 + 261377909^2 = 176931589^2 + 254827283^2 = 183954893^2 + 249804581^2 = 196594597^2 + 239983949^2 = 201575747^2 + 235815499^2
1^2 + 7^2 = 5^2 + 5^2
16174489^2 + 591638096^2 = 113864716^2 + 580802959^2
51^2 + 17714^2 = 1734^2 + 17629^2 = 6766^2 + 16371^2 = 8291^2 + 15654^2 = 8381^2 + 15606^2 = 9826^2 + 14739^2 = 11261^2 + 13674^2
0^2 + 20511149^2 = 999949^2 + 20486760^2 = 1997520^2 + 20413651^2 = 12631900^2 + 16159899^2 = 13404699^2 + 15524860^2 = 14145620^2 + 14852901^2
1333275^2 + 318337643^2 = 16844785^2 + 317894457^2 = 19506985^2 + 317742207^2 = 36337743^2 + 316259705^2 = 54335707^2 + 313669035^2 = 64425715^2 + 311753043^2 = 72156393^2 + 310054975^2 = 82120545^2 + 307566007^2 = 99547445^2 + 302375493^2 = 117931107^2 + 295690525^2 = 134621543^2 + 288474735^2 = 143857055^2 + 283982007^2 = 150872757^2 + 280317755^2 = 159836685^2 + 275305043^2 = 175294825^2 + 265729857^2 = 191284743^2 + 254461745^2 = 205501507^2 + 243124995^2 = 219047793^2 + 230995015^2
716027^2 + 536766306^2 = 9728302^2 + 536678619^2 = 22611291^2 + 536290322^2 = 39747317^2 + 535293126^2 = 40420066^2 + 535242747^2 = 79235446^2 + 530886357^2 = 89550229^2 + 529244118^2 = 102231702^2 + 526941419^2 = 289378022^2 + 452082891^2 = 321486962^2 + 429842661^2 = 329789813^2 + 423505914^2 = 339863226^2 + 415465483^2 = 353481701^2 + 403942158^2 = 360214114^2 + 397950213^2 = 369665157^2 + 389186654^2 = 377167818^2 + 381920171^2
10523125^2 + 366580349^2 = 26894899^2 + 365743835^2 = 35091955^2 + 365048549^2 = 72116299^2 + 359570755^2 = 131648885^2 + 342287101^2 = 165850451^2 + 327086405^2 = 187419851^2 + 315223235^2 = 218572525^2 + 294479099^2 = 225122851^2 + 289502315^2 = 253457605^2 + 265049299^2
1864669^2 + 131846008^2 = 6281800^2 + 131709475^2 = 7451125^2 + 131648500^2 = 10691875^2 + 131425000^2 = 11858500^2 + 131324875^2 = 12064364^2 + 131306123^2 = 15295280^2 + 130969085^2 = 16252555^2 + 130853740^2 = 16457675^2 + 130828100^2 = 17413888^2 + 130704259^2 = 20832500^2 + 130203125^2 = 21987875^2 + 130013000^2 = 25183925^2 + 129431900^2 = 25386805^2 + 129392260^2 = 26332280^2 + 129203165^2 = 26534800^2 + 129161725^2 = 29708500^2 + 128468875^2 = 30848125^2 + 128200000^2 = 35126800^2 + 127094275^2 = 36254005^2 + 126777340^2 = 39366019^2 + 125845792^2 = 42909181^2 + 124682192^2 = 44014660^2 + 124296245^2 = 47063200^2 + 123174275^2 = 48155125^2 + 122751500^2 = 52241500^2 + 121068875^2 = 52431236^2 + 120986827^2 = 53314525^2 + 120600200^2 = 56269195^2 + 119250260^2 = 56456075^2 + 119161900^2 = 57325912^2 + 118745891^2 = 57512000^2 + 118655875^2 = 60417500^2 + 117203125^2 = 61455875^2 + 116662000^2 = 61638691^2 + 116565512^2 = 64491445^2 + 115011740^2 = 65330720^2 + 114537085^2 = 65510200^2 + 114434525^2 = 66345227^2 + 113952436^2 = 69308125^2 + 112175000^2 = 70301500^2 + 111555125^2 = 73028200^2 + 109789475^2 = 74000245^2 + 109136660^2 = 79669469^2 + 105069608^2 = 80599340^2 + 104358005^2 = 84051125^2 + 101598500^2 = 84950000^2 + 100848125^2 = 87408500^2 + 98724875^2 = 87563164^2 + 98587723^2 = 88281725^2 + 97944800^2 = 88435165^2 + 97806280^2 = 90817675^2 + 95598100^2 = 91514288^2 + 94931459^2 = 91663000^2 + 94787875^2
0^2 + 7324318^2 = 1450360^2 + 7179282^2 = 2843280^2 + 6749918^2

350360^2 + 25058295^2 = 508735^2 + 25055580^2 = 715785^2 + 25050520^2 = 953985^2 + 25042580^2 = 1667820^2 + 25005185^2 = 1825833^2 + 24994144^2 = 2269783^2 + 24957744^2 = 2887280^2 + 24893865^2 = 3123892^2 + 24865281^2 = 3329280^2 + 24838615^2 = 3486207^2 + 24817076^2 = 4538620^2 + 24646335^2 = 5472521^2 + 24455928^2 = 5828616^2 + 24373513^2 = 6326992^2 + 24248919^2 = 6660609^2 + 24159412^2 = 6679977^2 + 24154064^2 = 7088959^2 + 24037212^2 = 7503948^2 + 23910911^2 = 7927748^2 + 23773761^2 = 8602559^2 + 23537988^2 = 8751160^2 + 23483145^2 = 9167160^2 + 23323895^2 = 9742071^2 + 23089672^2 = 9961215^2 + 22995980^2 = 10150921^2 + 22912872^2 = 10295540^2 + 22848255^2 = 11156905^2 + 22440240^2 = 11258049^2 + 22389668^2 = 12101280^2 + 21945385^2 = 12239745^2 + 21868460^2 = 12420055^2 + 21766560^2 = 12626495^2 + 21647460^2 = 13158820^2 + 21328065^2 = 13535820^2 + 21090815^2 = 13668855^2 + 21004840^2 = 14262360^2 + 20606455^2 = 14457684^2 + 20469887^2 = 14626360^2 + 20349705^2 = 14754689^2 + 20256852^2 = 15315265^2 + 19836420^2 = 15440336^2 + 19739223^2 = 15602940^2 + 19610945^2 = 15788736^2 + 19461673^2 = 16337367^2 + 19003456^2 = 16993896^2 + 18418697^2 = 17246143^2 + 18182724^2 = 17566593^2 + 17873324^2
119589531^2 + 153288736^2 = 121127011^2 + 152076756^2
0^2 + 766531849^2 = 24921276^2 + 766126625^2 = 36911849^2 + 765642600^2 = 189351049^2 + 742776720^2 = 213399905^2 + 736227924^2 = 224899320^2 + 732796951^2 = 248604924^2 + 725097695^2 = 272047680^2 + 716631799^2 = 398947351^2 + 654531960^2 = 420016415^2 + 641215476^2 = 440641399^2 + 627221040^2 = 450406476^2 + 620245985^2 = 470333640^2 + 605274601^2 = 489763524^2 + 589663265^2
408^2 + 2383230^2 = 87042^2 + 2381640^2 = 113160^2 + 2380542^2 = 412158^2 + 2347320^2 = 437880^2 + 2342658^2 = 522750^2 + 2325192^2 = 632958^2 + 2297640^2 = 941442^2 + 2189400^2 = 965400^2 + 2178942^2 = 1020408^2 + 2153730^2 = 1043970^2 + 2142408^2 = 1121160^2 + 2103042^2 = 1121880^2 + 2102658^2 = 1399080^2 + 1929342^2 = 1420158^2 + 1913880^2 = 1468290^2 + 1877208^2 = 1488792^2 + 1860990^2 = 1555458^2 + 1805640^2

9704834^2 + 176222587^2 = 12312802^2 + 176059589^2 = 31571422^2 + 173642821^2 = 37476395^2 + 172464790^2 = 52946626^2 + 168360443^2 = 58658965^2 + 166456330^2 = 73497758^2 + 160457669^2 = 78928555^2 + 157857110^2 = 97969685^2 + 146800970^2 = 115485995^2 + 133459990^2
1969^2 + 8846^2 = 4006^2 + 8129^2 = 5599^2 + 7126^2
3252^2 + 16806^2 = 3462^2 + 16764^2 = 7482^2 + 15396^2 = 11334^2 + 12828^2
0^2 + 50308609^2 = 1599516^2 + 50283175^2 = 7294716^2 + 49776935^2 = 8873640^2 + 49519841^2 = 12411391^2 + 48753600^2 = 19349465^2 + 46438716^2 = 20816159^2 + 45800040^2 = 25878559^2 + 43142280^2 = 27237145^2 + 42297684^2 = 28568191^2 + 41410320^2 = 34270745^2 + 36830316^2
51233702^2 + 295013667^2 = 53134398^2 + 294677267^2 = 55598413^2 + 294222318^2 = 57493917^2 + 293857798^2 = 59950922^2 + 293366397^2 = 61840818^2 + 292973837^2 = 66174147^2 + 292025578^2 = 158639918^2 + 253951437^2 = 160759443^2 + 252615038^2 = 162384547^2 + 251573478^2 = 164484042^2 + 250205827^2 = 166093538^2 + 249140307^2 = 169766077^2 + 246652458^2 = 171352557^2 + 245552962^2 = 173401358^2 + 244110477^2
32^2 + 501^2 = 45^2 + 500^2 = 171^2 + 472^2 = 264^2 + 427^2 = 275^2 + 420^2 = 336^2 + 373^2
3^2 + 29^2 = 11^2 + 27^2 = 15^2 + 25^2
558554^2 + 29006295^2 = 727479^2 + 29002550^2 = 759810^2 + 29001721^2 = 2044345^2 + 28939554^2 = 2767929^2 + 28879330^2 = 4244310^2 + 28699529^2 = 9243510^2 + 27499721^2 = 10453145^2 + 27063054^2 = 10640679^2 + 26989870^2 = 11826346^2 + 26491785^2 = 12485610^2 + 26187529^2 = 13662446^2 + 25593255^2 = 13811271^2 + 25513250^2 = 14956105^2 + 24859446^2 = 18238665^2 + 22561654^2 = 19370946^2 + 21597305^2
0^2 + 113971412^2 = 6507340^2 + 113785488^2 = 10406580^2 + 113495312^2 = 16869760^2 + 112715988^2 = 23277900^2 + 111568912^2 = 39177812^2 + 107026080^2 = 45224688^2 + 104614580^2 = 51124012^2 + 101861760^2 = 54587988^2 + 100048160^2 = 59477488^2 + 97220940^2 = 60211312^2 + 96768180^2 = 64931412^2 + 93666400^2 = 65638188^2 + 93172480^2 = 70173488^2 + 89806260^2
6573904^2 + 168509254^2 = 12524464^2 + 168171706^2 = 16184426^2 + 167859016^2 = 22106006^2 + 167182264^2 = 25742144^2 + 166661114^2 = 29312326^2 + 166070384^2 = 31492784^2 + 165670726^2 = 31615424^2 + 165647366^2 = 38746504^2 + 164125846^2 = 40900586^2 + 163602344^2 = 48054266^2 + 161645824^2 = 50174944^2 + 161000186^2 = 68060096^2 + 154293254^2 = 76758634^2 + 150155576^2 = 85098976^2 + 145591034^2 = 85206736^2 + 145527994^2 = 88309766^2 + 143666176^2 = 90190624^2 + 142492934^2 = 93272854^2 + 140494696^2 = 96368504^2 + 138389654^2 = 98179306^2 + 137110936^2 = 101142416^2 + 134939974^2 = 104014586^2 + 132738656^2 = 104112826^2 + 132661616^2 = 105847664^2 + 131281594^2 = 111423784^2 + 126583274^2 = 118469446^2 + 120014896^2
13213^2 + 14111484^2 = 417797^2 + 14105304^2 = 425955^2 + 14105060^2 = 618600^2 + 14097925^2 = 1057040^2 + 14071845^2 = 1468176^2 + 14034907^2 = 1486340^2 + 14032995^2 = 1494456^2 + 14032133^2 = 1896156^2 + 13983517^2 = 2095075^2 + 13955100^2 = 2520325^2 + 13884600^2 = 2528355^2 + 13883140^2 = 2951205^2 + 13799440^2 = 3353563^2 + 13707216^2 = 3540500^2 + 13660125^2 = 3548400^2 + 13658075^2 = 3963900^2 + 13543325^2 = 4383460^2 + 13413405^2 = 4541275^2 + 13360800^2 = 4954875^2 + 13213000^2 = 5356125^2 + 13055500^2 = 5363675^2 + 13052400^2 = 5918700^2 + 12810275^2 = 6307200^2 + 12623525^2 = 6314500^2 + 12619875^2 = 6697000^2 + 12421125^2 = 7223715^2 + 12122380^2 = 7230725^2 + 12118200^2 = 7597475^2 + 11891700^2 = 7963875^2 + 11649500^2 = 8100648^2 + 11554811^2 = 8122272^2 + 11539621^2 = 8456320^2 + 11297115^2 = 8797420^2 + 11033565^2 = 8803800^2 + 11028475^2 = 8953635^2 + 10907180^2 = 9268829^2 + 10640628^2 = 9288739^2 + 10623252^2 = 9589499^2 + 10352568^2 = 9595485^2 + 10347020^2 = 9608869^2 + 10334592^2 = 9907035^2 + 10049120^2
65532^2 + 1188842^2 = 75478^2 + 1188252^2 = 228618^2 + 1168492^2 = 238388^2 + 1166538^2 = 387348^2 + 1125878^2 = 517738^2 + 1072188^2 = 526692^2 + 1067818^2 = 660452^2 + 990678^2 = 790582^2 + 890292^2
6698^2 + 137850^2 = 10690^2 + 137598^2 = 14298^2 + 137270^2 = 18270^2 + 136798^2 = 35750^2 + 133302^2 = 39598^2 + 132210^2 = 59202^2 + 124670^2 = 62790^2 + 122902^2 = 84270^2 + 109298^2 = 87402^2 + 106810^2 = 89298^2 + 105230^2 = 92310^2 + 102598^2


4323542^2 + 133496918^2 = 11640302^2 + 133058722^2 = 13509022^2 + 132882002^2 = 20778218^2 + 131940842^2 = 31292038^2 + 129849638^2 = 40162222^2 + 127385698^2 = 50248322^2 + 123754702^2 = 58653638^2 + 119999462^2 = 72556402^2 + 112141378^2 = 80108762^2 + 106877062^2 = 88421558^2 + 100108682^2 = 93780098^2 + 95107378^2
469757660^2 + 877567947^2
0^2 + 168941^2 = 23780^2 + 167259^2 = 62660^2 + 156891^2 = 84120^2 + 146509^2 = 104859^2 + 132460^2
4139242^2 + 956116222^2 = 16165058^2 + 955988522^2 = 17086438^2 + 955972498^2 = 29109422^2 + 955681958^2 = 84276638^2 + 952403702^2 = 96249418^2 + 951268318^2 = 117342742^2 + 948897278^2 = 129268802^2 + 947346262^2 = 331749298^2 + 896726138^2 = 342528758^2 + 892664222^2 = 343002182^2 + 892482418^2 = 353729698^2 + 888285238^2 = 362729722^2 + 884648242^2 = 373361422^2 + 880213958^2 = 373828238^2 + 880015802^2 = 384403322^2 + 875448142^2 = 424047902^2 + 856947338^2 = 434341418^2 + 851776318^2 = 434793142^2 + 851545822^2 = 445020802^2 + 846245738^2 = 453589318^2 + 841684082^2 = 463696802^2 + 836158262^2 = 464140238^2 + 835912198^2 = 474177418^2 + 830259682^2 = 509439758^2 + 809102278^2 = 519576442^2 + 802630478^2 = 537265862^2 + 790898702^2 = 547171378^2 + 784078342^2 = 591558562^2 + 751154998^2 = 600959882^2 + 743654882^2 = 617320058^2 + 730131022^2 = 626454898^2 + 722308538^2
650275^2 + 16109023^2 = 4609423^2 + 15449165^2 = 5839673^2 + 15027365^2 = 9370805^2 + 13119127^2 = 10397755^2 + 12321127^2

58948^2 + 215088^2 = 96768^2 + 200932^2 = 129328^2 + 181692^2 = 155392^2 + 159972^2
32898^2 + 353236^2 = 45444^2 + 351842^2 = 67324^2 + 348318^2 = 142142^2 + 325044^2 = 174750^2 + 308740^2 = 238260^2 + 262850^2
9407528^2 + 897333440^2 = 62294528^2 + 895217960^2 = 81049472^2 + 893715160^2 = 152173528^2 + 884386240^2 = 281911000^2 + 851951872^2 = 349057600^2 + 826713128^2 = 366313280^2 + 819213272^2 = 413973800^2 + 796191872^2 = 430575320^2 + 787337728^2 = 446987560^2 + 778137472^2 = 476244800^2 + 760583128^2 = 492086080^2 + 750431272^2 = 507711040^2 + 739949528^2 = 550452520^2 + 708729728^2 = 565190360^2 + 697033472^2 = 619058240^2 + 649663528^2
1991735^2 + 29026718^2 = 5520418^2 + 28566455^2 = 9765335^2 + 27407218^2 = 12663175^2 + 26194682^2 = 16468718^2 + 23985385^2 = 18958582^2 + 22070105^2
841^2 + 672800^2 = 31960^2 + 672041^2 = 33640^2 + 671959^2 = 66359^2 + 669520^2 = 439060^2 + 509791^2 = 463391^2 + 487780^2 = 464609^2 + 486620^2
5825030^2 + 115671163^2 = 31074187^2 + 111571250^2 = 33026645^2 + 111008962^2 = 54807530^2 + 102028837^2 = 56588938^2 + 101051675^2 = 58352930^2 + 100043413^2 = 65408587^2 + 95579630^2 = 77390795^2 + 86165038^2 = 78890437^2 + 84794150^2
891847^2 + 7737799^2 = 1452359^2 + 7652423^2 = 2319647^2 + 7435601^2 = 2469277^2 + 7387259^2 = 2605643^2 + 7340269^2 = 4428241^2 + 6407777^2 = 5250523^2 + 5753341^2 = 5356157^2 + 5655131^2
2649744^2 + 962916481^2 = 278232184^2 + 921847071^2
229582010^2 + 798066893^2

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