ODE5min := 28185*(28619+5152*w^120+22633*w^474+18500*w^147+30425*w+16544*w^369
+1038*w^366+13547*w^363+1183*w^480+8623*w^144+26470*w^477+8933*w^141+16649*w^
409+4937*w^159+22558*w^258+25709*w^375+16613*w^357+32167*w^303+31023*w^255+
4070*w^156+6139*w^153+13292*w^150+22313*w^252+352*w^123+28347*w^372+13636*w^
213+11521*w^390+20597*w^210+15620*w^246+6352*w^207+11044*w^288+10998*w^204+
28450*w^336+31571*w^240+11180*w^201+8098*w^285+15041*w^195+23081*w^234+6237*w^
192+21413*w^333+151*w^189+15436*w^231+22391*w^186+32536*w^282+19030*w^183+
20391*w^228+9154*w^279+2225*w^180+28779*w^138+19959*w^225+6113*w^276+20485*w^
135+13052*w^174+11536*w^132+19624*w^222+18789*w^129+29982*w^126+21956*w^171+
1512*w^168+6613*w^498+13575*w^273+16502*w^495+13338*w^270+3766*w^387+1332*w^
267+20977*w^177+21274*w^492+5300*w^489+4853*w^426+5382*w^429+3961*w^450+7581*w
^384+25499*w^381+31802*w^378+28226*w^433+5757*w^243+8079*w^165+13709*w^162+
7292*w^264+10618*w^237+25912*w^261+11006*w^198+8360*w^486+18623*w^483+23418*w^
327+4405*w^420+7559*w^444+27007*w^438+28582*w^402+28148*w^339+26203*w^291+
15713*w^351+7575*w^507+870*w^249+25038*w^504+31356*w^379+11361*w^453+23273*w^
219+29709*w^216+8747*w^393+27494*w^149+25851*w^399+6731*w^348+28211*w^294+
20676*w^396+13500*w^414+16736*w^300+30738*w^471+31103*w^321+14465*w^315+28350*
w^309+6043*w^501+27243*w^330+10403*w^408+7070*w^318+3774*w^447+18724*w^298+
11301*w^354+29290*w^459+374*w^510+296*w^513+28193*w^516+13035*w^432+18766*w^
435+7058*w^461+3018*w^462+6815*w^405+19842*w^345+10768*w^342+6959*w^297+2440*w
^324+14767*w^456+5391*w^350+4240*w^423+22082*w^417+27611*w^211+7843*w^312+
23241*w^500+17376*w^306+16486*w^360+15428*w^465+23376*w^411+19753*w^54+26448*w
^44+16937*w^55+3586*w^56+5464*w^47+2217*w^48+14201*w^40+12536*w^41+26393*w^49+
21757*w^50+3343*w^42+27561*w^43+23659*w^51+20570*w^52+9656*w^53+13564*w^46+
18753*w^57+15925*w^45+30894*w^39+16595*w^61+17361*w^64+19873*w^65+13600*w^66+
12416*w^67+6732*w^62+31479*w^63+2198*w^58+13083*w^59+31800*w^60+10067*w^68+
3863*w^69+14775*w^73+4284*w^70+30008*w^71+8802*w^72+23692*w^74+26430*w^77+
25589*w^80+30111*w^81+23934*w^86+9914*w^84+9204*w^85+30161*w^75+8058*w^76+
30454*w^82+22310*w^83+20342*w^78+31104*w^79+18626*w^90+11272*w^87+10160*w^88+
32590*w^89+28513*w^91+28312*w^92+14541*w^93+21386*w^95+17508*w^94+7455*w^466+
2732*w^349+4678*w^468+28510*w^441+9360*w^448+24750*w^241+1270*w^146+13454*w^
203+16982*w^187+25150*w^328+6386*w^427+13392*w^250+30190*w^173+8995*w^175+
11927*w^310+14707*w^275+18112*w^340+18911*w^182+15353*w^398+3686*w^221+1412*w^
319+1188*w^509+5219*w^152+9212*w^124+14129*w^343+1126*w^334+14662*w^311+10060*
w^229+187*w^121+22739*w^325+11697*w^199+26187*w^422+9588*w^451+10283*w^155+
12687*w^281+11355*w^145+20487*w^257+19575*w^218+1758*w^443+11219*w^230+8010*w^
10+18179*w^11+19338*w^8+14095*w^25+5914*w^23+6283*w^24+5619*w^2+7811*w^3+26185
*w^13+31833*w^14+25835*w^15+25494*w^4+7402*w^21+21341*w^16+29327*w^17+16465*w^
418+15387*w^12+21920*w^5+19931*w^6+15797*w^9+2718*w^26+10637*w^7+2115*w^31+
9158*w^28+18018*w^29+25793*w^33+11279*w^37+19283*w^38+1649*w^35+10852*w^36+
23679*w^32+25505*w^34+27638*w^30+2936*w^27+23174*w^18+25938*w^20+2081*w^22+
4309*w^184+20795*w^19+4727*w^370+26311*w^160+2939*w^215+22029*w^200+5571*w^185
+12816*w^463+30998*w^394+979*w^388+11146*w^367+23623*w^506+24642*w^158+25907*w
^205+12704*w^416+12679*w^167+6214*w^148+31989*w^304+6580*w^166+7607*w^119+
30322*w^356+25423*w^460+18569*w^208+28712*w^125+28152*w^96+27720*w^97+19866*w^
98+13798*w^99+22263*w^100+4124*w^101+18974*w^102+18583*w^103+4672*w^104+13352*
w^105+31369*w^106+4634*w^107+7685*w^108+10747*w^109+9629*w^110+123*w^112+13014
*w^113+3889*w^114+27231*w^115+1008*w^116+31131*w^117+19389*w^118+14321*w^111+
19785*w^197+12897*w^143+7939*w^194+20763*w^179+17419*w^476+6619*w^326+32489*w^
262+20885*w^424+7466*w^290+10943*w^490+15858*w^484+24740*w^130+29236*w^344+766
*w^220+16030*w^431+22816*w^251+32290*w^358+8884*w^442+22681*w^341+5762*w^391+
30187*w^494+27547*w^170+23865*w^331+20967*w^512+31790*w^254+28375*w^190+31457*
w^467+32198*w^365+21975*w^214+23261*w^413+4298*w^496+1078*w^161+7062*w^134+
30588*w^322+11082*w^314+6098*w^217+18171*w^493+32313*w^284+14417*w^499+32190*w
^280+1632*w^296+29478*w^371+14157*w^128+26846*w^164+18444*w^154+17108*w^206+
24425*w^131+13096*w^260+24272*w^364+26630*w^242+7583*w^181+6287*w^247+25505*w^
286+30397*w^226+22495*w^397+5841*w^305+11203*w^376+1459*w^133+24162*w^421+
16522*w^412+11131*w^233+25750*w^475+1928*w^410+12542*w^188+28049*w^383+17868*w
^419+31122*w^232+3131*w^157+30924*w^265+26637*w^202+2808*w^497+4068*w^430+
16932*w^193+8085*w^236+21491*w^439+31211*w^142+19516*w^487+2413*w^169+19620*w^
347+4148*w^515+16256*w^127+22206*w^151+14001*w^470+9554*w^137+9448*w^478+23584
*w^316+7869*w^329+20345*w^428+28618*w^389+6463*w^457+1241*w^502+20238*w^266+
28255*w^191+24370*w^289+8864*w^163+19646*w^178+21895*w^122+14336*w^140+27419*w
^223+26760*w^458+5865*w^278+2698*w^235+25783*w^382+25960*w^139+5755*w^407+
16388*w^415+12207*w^352+2549*w^400+9190*w^355+24060*w^323+657*w^440+16057*w^
295+31348*w^292+19107*w^320+15748*w^317+26964*w^454+12414*w^136+28842*w^503+
7310*w^172+19198*w^508+12661*w^374+17699*w^473+29059*w^368+24484*w^472+22958*w
^481+24409*w^373+6432*w^434+25477*w^227+10434*w^263+9682*w^293+5265*w^268+
28616*w^302+23551*w^452+5625*w^259+8073*w^212+2483*w^401+3916*w^253+3509*w^353
+32047*w^332+1110*w^277+8035*w^386+6034*w^287+18968*w^283+14754*w^395+14351*w^
337+14517*w^274+27142*w^308+23397*w^301+22818*w^209+5921*w^505+20206*w^514+
9442*w^307+32612*w^271+15328*w^224+7878*w^269+17229*w^238+21752*w^245+23003*w^
313+19445*w^403+28741*w^361+9696*w^469+21482*w^196+13368*w^404+8743*w^464+8437
*w^362+15116*w^511+14688*w^392+5060*w^176+16014*w^359+w^517+12215*w^338+29067*
w^446+9884*w^385+6026*w^449+24760*w^346+2734*w^455+5158*w^437+4245*w^244+20639
*w^485+18189*w^272+9568*w^256+10294*w^299+23638*w^377+8803*w^479+16273*w^248+
25361*w^380+21197*w^335+30303*w^488+27884*w^436+2040*w^482+18718*w^425+24558*w
^239+15244*w^491+5880*w^406+11184*w^445)*(32533+17803*w^120+15119*w^147+10573*
w+12722*w^144+13445*w^141+16591*w^159+22835*w^258+4832*w^357+29389*w^303+32009
*w^255+8030*w^156+14325*w^153+20838*w^150+19801*w^252+18590*w^123+18763*w^213+
32382*w^210+12735*w^246+8761*w^207+3800*w^288+16561*w^204+5851*w^336+12548*w^
240+17316*w^201+1372*w^285+27725*w^195+7298*w^234+19061*w^192+13105*w^333+
10765*w^189+7149*w^231+21724*w^186+16129*w^282+5632*w^183+32740*w^228+19968*w^
279+19539*w^180+19529*w^138+28423*w^225+18082*w^276+29479*w^135+2199*w^174+221
*w^132+10598*w^222+24352*w^129+2462*w^126+2917*w^171+15536*w^168+27193*w^273+
22255*w^270+28234*w^267+32426*w^177+17082*w^243+16731*w^165+5723*w^162+24141*w
^264+9698*w^237+17730*w^261+6065*w^198+21138*w^327+19296*w^339+6127*w^291+
14514*w^351+31925*w^249+30495*w^219+160*w^216+7402*w^149+9274*w^348+12135*w^
294+2811*w^300+24588*w^321+21152*w^315+31084*w^309+21532*w^330+30538*w^318+
23479*w^298+23223*w^354+15176*w^345+9234*w^342+4030*w^297+23904*w^324+1510*w^
350+28935*w^211+6715*w^312+6688*w^306+22739*w^360+10689*w^54+780*w^44+447*w^55
+21050*w^56+7903*w^47+14246*w^48+5438*w^40+8054*w^41+31162*w^49+12750*w^50+
15633*w^42+32649*w^43+24867*w^51+27733*w^52+26142*w^53+9502*w^46+27045*w^57+
30522*w^45+27965*w^39+1281*w^61+31264*w^64+25240*w^65+25567*w^66+12029*w^67+
8501*w^62+31582*w^63+20671*w^58+19818*w^59+5008*w^60+15229*w^68+13689*w^69+
2301*w^73+7761*w^70+31711*w^71+32554*w^72+29364*w^74+30836*w^77+12074*w^80+
30445*w^81+21472*w^86+21524*w^84+15421*w^85+12565*w^75+9574*w^76+22118*w^82+
15963*w^83+32249*w^78+6005*w^79+28050*w^90+21679*w^87+1080*w^88+11527*w^89+
7858*w^91+5958*w^92+2001*w^93+1012*w^95+8549*w^94+13993*w^349+29963*w^241+
23259*w^146+743*w^203+31118*w^187+26034*w^328+8229*w^250+15587*w^173+10107*w^
175+7591*w^310+11950*w^275+13735*w^340+10627*w^182+24462*w^221+26645*w^319+
17540*w^152+5571*w^124+31471*w^343+7940*w^334+7115*w^311+25879*w^229+25717*w^
121+10582*w^325+15829*w^199+5001*w^155+14934*w^281+19922*w^145+29708*w^257+
14467*w^218+30371*w^230+89*w^10+16888*w^11+22937*w^8+22745*w^25+21179*w^23+
14738*w^24+20238*w^2+7909*w^3+11148*w^13+27086*w^14+2217*w^15+26892*w^4+29531*
w^21+1457*w^16+16390*w^17+17400*w^12+28823*w^5+5774*w^6+9769*w^9+438*w^26+3196
*w^7+13894*w^31+17449*w^28+15704*w^29+7665*w^33+27672*w^37+2508*w^38+1882*w^35
+31745*w^36+5669*w^32+15820*w^34+9654*w^30+28030*w^27+15479*w^18+3581*w^20+
20242*w^22+28826*w^184+15841*w^19+15713*w^160+22060*w^215+18720*w^200+3732*w^
185+147*w^158+27476*w^205+16336*w^167+26867*w^148+13523*w^304+7541*w^166+8453*
w^119+27582*w^356+25533*w^208+7918*w^125+19505*w^96+15466*w^97+27754*w^98+
18503*w^99+17680*w^100+5952*w^101+6460*w^102+31844*w^103+4339*w^104+12607*w^
105+21247*w^106+2391*w^107+28014*w^108+25709*w^109+29376*w^110+21597*w^112+
13302*w^113+12616*w^114+9717*w^115+13960*w^116+5235*w^117+18615*w^118+29012*w^
111+12679*w^197+10462*w^143+21049*w^194+12847*w^179+23160*w^326+7113*w^262+
30248*w^290+14255*w^130+13595*w^344+7395*w^220+10710*w^251+22983*w^358+19941*w
^341+25075*w^170+25625*w^331+22387*w^254+26832*w^190+17034*w^214+15821*w^161+
16559*w^134+15248*w^322+7171*w^314+30656*w^217+5929*w^284+12193*w^280+27263*w^
296+5036*w^128+17307*w^164+9285*w^154+30644*w^206+3950*w^131+9997*w^260+19611*
w^242+13922*w^181+14915*w^247+10116*w^286+9501*w^226+27815*w^305+32206*w^133+
7901*w^233+20239*w^188+27512*w^232+25007*w^157+15394*w^265+12924*w^202+11376*w
^193+27057*w^236+30730*w^142+13582*w^169+21119*w^347+24654*w^127+21835*w^151+
14303*w^137+5744*w^316+11832*w^329+24303*w^266+2787*w^191+3150*w^289+31276*w^
163+9236*w^178+9290*w^122+23984*w^140+4393*w^223+9967*w^278+23355*w^235+5666*w
^139+22633*w^352+1246*w^355+14876*w^323+5715*w^295+20903*w^292+4121*w^320+
31594*w^317+22258*w^136+2523*w^172+27707*w^227+31037*w^263+1916*w^293+20408*w^
268+18045*w^302+5002*w^259+1638*w^212+13428*w^253+16879*w^353+19476*w^332+
21431*w^277+8851*w^287+5291*w^283+676*w^337+31055*w^274+11324*w^308+484*w^301+
23800*w^209+18608*w^307+2422*w^271+31836*w^224+14591*w^269+10135*w^238+8506*w^
245+24065*w^313+w^361+16670*w^196+17315*w^176+20249*w^359+8242*w^338+19155*w^
346+20319*w^244+20566*w^272+26439*w^256+16532*w^299+28733*w^248+32681*w^335+
13160*w^239)*(22528+2537*w+1638*w^54+29666*w^44+14672*w^55+9038*w^56+22536*w^
47+24353*w^48+29351*w^40+30387*w^41+31637*w^49+6689*w^50+13848*w^42+21741*w^43
+17934*w^51+19764*w^52+23317*w^53+4622*w^46+28432*w^57+29857*w^45+19493*w^39+
27618*w^61+5611*w^64+32040*w^65+32176*w^66+23820*w^67+365*w^62+20524*w^63+
24150*w^58+30212*w^59+27724*w^60+31067*w^68+w^69+21658*w^10+13411*w^11+32654*w
^8+25698*w^25+27338*w^23+8640*w^24+21267*w^2+14848*w^3+16767*w^13+20635*w^14+
7417*w^15+28172*w^4+21393*w^21+15916*w^16+19342*w^17+27561*w^12+30081*w^5+9298
*w^6+2348*w^9+25187*w^26+25949*w^7+3343*w^31+12134*w^28+9293*w^29+16053*w^33+
11876*w^37+5050*w^38+32339*w^35+31020*w^36+6557*w^32+24203*w^34+6669*w^30+
24707*w^27+30066*w^18+3046*w^20+3535*w^22+56*w^19)+9842*(5146+4643*w^120+1847*
w^474+24711*w^147+23417*w+25155*w^369+790*w^366+21676*w^363+25079*w^480+28410*
w^555+27477*w^588+18833*w^144+513*w^477+24022*w^141+6026*w^409+29987*w^585+
19163*w^159+17570*w^258+5758*w^591+22320*w^375+11212*w^357+32215*w^303+25845*w
^255+16894*w^156+8799*w^153+1905*w^150+19327*w^252+22128*w^123+13692*w^372+
9500*w^213+21929*w^390+22459*w^210+20815*w^246+25427*w^207+12593*w^288+18759*w
^204+19236*w^336+25728*w^240+32695*w^201+17267*w^285+12501*w^195+19789*w^234+
2270*w^192+15509*w^333+4824*w^189+31311*w^231+20125*w^186+21294*w^282+20010*w^
183+13852*w^228+31482*w^279+9053*w^180+10880*w^138+23665*w^225+6593*w^276+4650
*w^135+340*w^174+24893*w^132+11607*w^222+15511*w^129+7159*w^126+25357*w^171+
22488*w^168+32023*w^498+23103*w^273+19743*w^495+31053*w^270+24095*w^387+32244*
w^267+3620*w^177+28461*w^492+2658*w^489+14909*w^426+5681*w^429+11852*w^450+
15466*w^597+7151*w^384+19828*w^381+5599*w^378+27264*w^433+11797*w^243+4198*w^
165+7960*w^162+32211*w^264+4831*w^237+7504*w^261+32437*w^198+14760*w^486+12801
*w^483+11207*w^327+1326*w^594+5024*w^528+22456*w^420+31480*w^444+9516*w^438+
8561*w^402+17255*w^339+14405*w^291+22290*w^351+1252*w^507+18348*w^249+24569*w^
504+4599*w^379+24641*w^453+426*w^219+26854*w^546+26051*w^216+11103*w^558+31131
*w^393+6874*w^525+4489*w^149+25056*w^552+13442*w^399+23071*w^348+13581*w^294+
15363*w^396+10191*w^414+15020*w^300+14394*w^471+26092*w^567+26673*w^561+6778*w
^321+14246*w^315+26682*w^309+16647*w^543+20603*w^501+2267*w^330+14249*w^408+
20072*w^318+25562*w^447+26353*w^298+22062*w^354+21940*w^459+17110*w^510+11520*
w^513+11786*w^531+13903*w^516+18344*w^432+1579*w^435+24586*w^461+11146*w^462+
32011*w^582+29216*w^405+1206*w^345+27474*w^342+20246*w^297+29433*w^324+30591*w
^540+10808*w^456+6734*w^576+11816*w^522+6160*w^350+2185*w^423+24202*w^417+
30856*w^211+14555*w^312+1968*w^500+11413*w^306+28418*w^360+7931*w^465+28213*w^
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5404*w^190+29916*w^161+7769*w^134+28294*w^128+10829*w^164+7797*w^154+25356*w^
206+31493*w^131+1870*w^181+18174*w^133+26416*w^188+6070*w^157+20254*w^202+
28807*w^193+19423*w^142+12492*w^169+7045*w^127+26621*w^151+8989*w^137+6295*w^
191+970*w^163+13703*w^178+20119*w^122+31098*w^140+8695*w^139+6988*w^136+14343*
w^172+20143*w^209+8388*w^196+20231*w^176)*(24414+963*w+30776*w^54+19965*w^44+
8162*w^55+8860*w^56+20810*w^47+12148*w^48+10896*w^40+11108*w^41+24277*w^49+
8613*w^50+9694*w^42+6452*w^43+1473*w^51+2563*w^52+24912*w^53+8285*w^46+21762*w
^57+3980*w^45+22592*w^39+3656*w^61+9687*w^64+1096*w^65+31072*w^66+3690*w^67+
5787*w^62+22746*w^63+3213*w^58+17380*w^59+4273*w^60+22006*w^68+16443*w^69+
26337*w^73+13454*w^70+6303*w^71+31464*w^72+28422*w^74+8749*w^77+26470*w^80+
24359*w^81+29830*w^86+25770*w^84+24557*w^85+14612*w^75+7912*w^76+19330*w^82+
26521*w^83+20096*w^78+26693*w^79+32203*w^90+19937*w^87+27469*w^88+3966*w^89+
5782*w^91+4517*w^92+w^93+4548*w^10+12534*w^11+9764*w^8+23885*w^25+17877*w^23+
30561*w^24+20888*w^2+1623*w^3+5630*w^13+8915*w^14+16916*w^15+30253*w^4+14408*w
^21+29145*w^16+19638*w^17+29991*w^12+26392*w^5+24534*w^6+19495*w^9+153*w^26+
26120*w^7+8140*w^31+5051*w^28+29556*w^29+14642*w^33+1307*w^37+7742*w^38+29706*
w^35+14214*w^36+11399*w^32+4765*w^34+28861*w^30+7609*w^27+7070*w^18+14544*w^20
+17001*w^22+1745*w^19)*(w^5*Dw^5+10*w^4*Dw^4+25*w^3*Dw^3+15*w^2*Dw^2+w*Dw);