#include #include using namespace std; typedef long long ll; typedef pair P; long long int INF = 3e18; const ll fact_table = 5000000; double Pi = 3.1415926535897932384626; vector G[550010]; //vector

tree[500010]; priority_queue pql; priority_queue

pqp; //big priority queue priority_queue ,greater > pqls; priority_queue ,greater

> pqps; //small priority queue //top pop int dx[8]={1,0,-1,0,1,1,-1,-1}; int dy[8]={0,1,0,-1,1,-1,-1,1}; char dir[] = "DRUL"; //ll bit[500005]; //↓,→,↑,← #define p(x) cout< number2){ swap(number1,number2); } if(number1 == 0 || number1 == number2){ return number2; }else{ return gcd(number2 % number1,number1); } } void YES(bool condition){ if(condition){ p("YES"); }else{ p("NO"); } return; } void Yes(bool condition){ if(condition){ p("Yes"); }else{ p("No"); } return; } /* ll fact[fact_table + 5],rfact[fact_table + 5]; void c3_init(){ fact[0] = rfact[0] = 1; for(ll i=1; i<=fact_table; i++){ fact[i] = (fact[i-1]*i) % mod; } rfact[fact_table] = rui(fact[fact_table],mod - 2); for(ll i=fact_table; i>=1; i--){ rfact[i-1] = rfact[i] * i; rfact[i-1] %= mod; } return;} ll c3(ll n,ll r){ return (((fact[n] * rfact[r]) % mod ) * rfact[n-r]) % mod;} */ ll n,m,num,sum,a,b,c,d,e,g,h,w,i,j,q,r,l; ll k,idx,ans; ll x[500005], y[500005], z[500005]; ll sum_table[500005]; ll a_table[500005]; ll b_table[500005]; int main(){ cin >> n; a_table[1] = 865390300; b_table[1] = 196976169; sum_table[1] = 672851136; a_table[2] = 489276259; b_table[2] = 974106729; sum_table[2] = 736487817; a_table[3] = 351309356; b_table[3] = 927393756; sum_table[3] = 545539761; a_table[4] = 845895238; b_table[4] = 786188346; sum_table[4] = 456836476; a_table[5] = 371975563; b_table[5] = 80688602; sum_table[5] = 393673464; a_table[6] = 47125963; b_table[6] = 396580227; sum_table[6] = 319749430; a_table[7] = 829535814; b_table[7] = 241674835; sum_table[7] = 35125330; a_table[8] = 132225666; b_table[8] = 721876347; sum_table[8] = 793894259; a_table[9] = 103684887; b_table[9] = 294879735; sum_table[9] = 293034767; a_table[10] = 392460984; b_table[10] = 947746097; sum_table[10] = 298280710; a_table[11] = 729987547; b_table[11] = 369610353; sum_table[11] = 132099345; a_table[12] = 573486682; b_table[12] = 719571781; sum_table[12] = 644893985; a_table[13] = 566334113; b_table[13] = 57673489; sum_table[13] = 317942513; a_table[14] = 251655405; b_table[14] = 355165112; sum_table[14] = 375552579; a_table[15] = 4660654; b_table[15] = 539612979; sum_table[15] = 438402909; a_table[16] = 540377917; b_table[16] = 337084384; sum_table[16] = 145355725; a_table[17] = 878336833; b_table[17] = 557802238; sum_table[17] = 275469824; a_table[18] = 859137012; b_table[18] = 221940703; sum_table[18] = 385187623; a_table[19] = 940822230; b_table[19] = 467449387; sum_table[19] = 488078886; a_table[20] = 530142919; b_table[20] = 975243705; sum_table[20] = 370370194; a_table[21] = 506593171; b_table[21] = 12389717; sum_table[21] = 65152339; a_table[22] = 42290336; b_table[22] = 133406429; sum_table[22] = 841428646; a_table[23] = 816832494; b_table[23] = 422402570; sum_table[23] = 203521976; a_table[24] = 386573344; b_table[24] = 516187473; sum_table[24] = 588688694; a_table[25] = 21; b_table[25] = 999999994; sum_table[25] = 999999903; a_table[26] = 713229531; b_table[26] = 612505998; sum_table[26] = 590056243; a_table[27] = 820848482; b_table[27] = 611413983; sum_table[27] = 297111051; a_table[28] = 530750723; b_table[28] = 321377683; sum_table[28] = 821777948; a_table[29] = 749517265; b_table[29] = 543351451; sum_table[29] = 873732307; a_table[30] = 47291577; b_table[30] = 762534955; sum_table[30] = 813778829; a_table[31] = 725901983; b_table[31] = 834102307; sum_table[31] = 110474854; a_table[32] = 870954027; b_table[32] = 278479141; sum_table[32] = 20896575; a_table[33] = 663730573; b_table[33] = 392346524; sum_table[33] = 183523603; a_table[34] = 667188263; b_table[34] = 343946086; sum_table[34] = 324278121; a_table[35] = 558994539; b_table[35] = 920981438; sum_table[35] = 961702175; a_table[36] = 942240941; b_table[36] = 524803828; sum_table[36] = 229200797; a_table[37] = 612460248; b_table[37] = 688787155; sum_table[37] = 389531035; a_table[38] = 955783560; b_table[38] = 143260939; sum_table[38] = 827373546; a_table[39] = 902183596; b_table[39] = 667617049; sum_table[39] = 797016943; a_table[40] = 173410246; b_table[40] = 82905056; sum_table[40] = 317218074; a_table[41] = 705922970; b_table[41] = 965839223; sum_table[41] = 225321637; a_table[42] = 850394809; b_table[42] = 193644322; sum_table[42] = 248758446; a_table[43] = 450096530; b_table[43] = 156648008; sum_table[43] = 577263050; a_table[44] = 828481468; b_table[44] = 680424708; sum_table[44] = 17317349; a_table[45] = 455258545; b_table[45] = 454833148; sum_table[45] = 798260502; a_table[46] = 36016362; b_table[46] = 477390200; sum_table[46] = 598825587; a_table[47] = 363663578; b_table[47] = 153813486; sum_table[47] = 581720454; a_table[48] = 98149307; b_table[48] = 662248887; sum_table[48] = 128300100; a_table[49] = 696443258; b_table[49] = 407603068; sum_table[49] = 541639506; a_table[50] = 999999020; b_table[50] = 610; sum_table[50] = 999770037; a_table[51] = 612821988; b_table[51] = 15242128; sum_table[51] = 581267617; a_table[52] = 930845367; b_table[52] = 289436280; sum_table[52] = 987596721; a_table[53] = 703406845; b_table[53] = 967855262; sum_table[53] = 118378343; a_table[54] = 926793566; b_table[54] = 676293646; sum_table[54] = 870351143; a_table[55] = 405320339; b_table[55] = 80168765; sum_table[55] = 616189133; a_table[56] = 835481081; b_table[56] = 400611624; sum_table[56] = 498251206; a_table[57] = 235625211; b_table[57] = 669805636; sum_table[57] = 83614932; a_table[58] = 672437627; b_table[58] = 837837165; sum_table[58] = 242694293; a_table[59] = 538466976; b_table[59] = 539654342; sum_table[59] = 388772834; a_table[60] = 334795872; b_table[60] = 766126632; sum_table[60] = 178404220; a_table[61] = 984688548; b_table[61] = 964609913; sum_table[61] = 714055658; a_table[62] = 640881872; b_table[62] = 907432172; sum_table[62] = 50093806; a_table[63] = 511838889; b_table[63] = 209062427; sum_table[63] = 695460293; a_table[64] = 345715884; b_table[64] = 266833809; sum_table[64] = 640827875; a_table[65] = 845057847; b_table[65] = 563849424; sum_table[65] = 661881075; a_table[66] = 281242731; b_table[66] = 268472457; sum_table[66] = 139493214; a_table[67] = 153107431; b_table[67] = 340914698; sum_table[67] = 734416221; a_table[68] = 986326239; b_table[68] = 415602977; sum_table[68] = 634354375; a_table[69] = 120549054; b_table[69] = 552589568; sum_table[69] = 731309657; a_table[70] = 72705620; b_table[70] = 647598500; sum_table[70] = 390544952; a_table[71] = 800637836; b_table[71] = 550271044; sum_table[71] = 542908482; a_table[72] = 865521624; b_table[72] = 637359785; sum_table[72] = 15603910; a_table[73] = 570150119; b_table[73] = 451899965; sum_table[73] = 954796309; a_table[74] = 880593768; b_table[74] = 326468471; sum_table[74] = 809692249; a_table[75] = 46368; b_table[75] = 999971350; sum_table[75] = 492455880; a_table[76] = 484137243; b_table[76] = 671114000; sum_table[76] = 267565061; a_table[77] = 429419584; b_table[77] = 785080962; sum_table[77] = 328836502; a_table[78] = 409127800; b_table[78] = 189425325; sum_table[78] = 439222792; a_table[79] = 691185448; b_table[79] = 670847418; sum_table[79] = 991226420; a_table[80] = 902652630; b_table[80] = 469533125; sum_table[80] = 115627748; a_table[81] = 6487490; b_table[81] = 337151505; sum_table[81] = 529928654; a_table[82] = 54661140; b_table[82] = 240656191; sum_table[82] = 517256620; a_table[83] = 731701189; b_table[83] = 229307001; sum_table[83] = 442776862; a_table[84] = 24864047; b_table[84] = 292300022; sum_table[84] = 697360077; a_table[85] = 705599596; b_table[85] = 71067117; sum_table[85] = 776408180; a_table[86] = 777397639; b_table[86] = 138530583; sum_table[86] = 691624943; a_table[87] = 266091985; b_table[87] = 661901069; sum_table[87] = 167497596; a_table[88] = 987788839; b_table[88] = 30805062; sum_table[88] = 53481926; a_table[89] = 849169982; b_table[89] = 791194026; sum_table[89] = 510092850; a_table[90] = 108871225; b_table[90] = 416172205; sum_table[90] = 454303790; a_table[91] = 75668771; b_table[91] = 415955396; sum_table[91] = 636199071; a_table[92] = 953555997; b_table[92] = 783364991; sum_table[92] = 607829520; a_table[93] = 192570566; b_table[93] = 310012213; sum_table[93] = 442832341; a_table[94] = 505713043; b_table[94] = 347865785; sum_table[94] = 983083918; a_table[95] = 127577343; b_table[95] = 108037569; sum_table[95] = 134442094; a_table[96] = 334005612; b_table[96] = 659870921; sum_table[96] = 600185367; a_table[97] = 956820388; b_table[97] = 890276836; sum_table[97] = 856108244; a_table[98] = 104795289; b_table[98] = 98452912; sum_table[98] = 107138673; a_table[99] = 915649947; b_table[99] = 248378907; sum_table[99] = 449141094; a_table[100] = 997821698; b_table[100] = 1346269; sum_table[100] = 850349087; a_table[101] = 632727759; b_table[101] = 442400096; sum_table[101] = 934817446; a_table[102] = 886434339; b_table[102] = 811758772; sum_table[102] = 754557684; a_table[103] = 67586695; b_table[103] = 129154533; sum_table[103] = 246316377; a_table[104] = 587490616; b_table[104] = 793877939; sum_table[104] = 766342054; a_table[105] = 170006352; b_table[105] = 851774521; sum_table[105] = 574248484; a_table[106] = 859606903; b_table[106] = 753267760; sum_table[106] = 54279548; a_table[107] = 195301230; b_table[107] = 19353471; sum_table[107] = 501736980; a_table[108] = 937606742; b_table[108] = 384733872; sum_table[108] = 965832868; a_table[109] = 292922829; b_table[109] = 722244729; sum_table[109] = 684905898; a_table[110] = 502023354; b_table[110] = 893718904; sum_table[110] = 354436608; a_table[111] = 477622685; b_table[111] = 524452742; sum_table[111] = 702182427; a_table[112] = 852794931; b_table[112] = 983217816; sum_table[112] = 617097542; a_table[113] = 62086007; b_table[113] = 343099673; sum_table[113] = 339149129; a_table[114] = 743295249; b_table[114] = 547047235; sum_table[114] = 134083759; a_table[115] = 37994620; b_table[115] = 876057088; sum_table[115] = 986576007; a_table[116] = 162325060; b_table[116] = 181624071; sum_table[116] = 951846221; a_table[117] = 29761025; b_table[117] = 840930991; sum_table[117] = 745324598; a_table[118] = 962857236; b_table[118] = 13823117; sum_table[118] = 696614939; a_table[119] = 110938093; b_table[119] = 97718656; sum_table[119] = 934881752; a_table[120] = 931159308; b_table[120] = 274635799; sum_table[120] = 323153993; a_table[121] = 501098519; b_table[121] = 435795893; sum_table[121] = 66186778; a_table[122] = 163920462; b_table[122] = 519629224; sum_table[122] = 415276934; a_table[123] = 504471340; b_table[123] = 920813213; sum_table[123] = 500252916; a_table[124] = 83859031; b_table[124] = 999722991; sum_table[124] = 444694838; a_table[125] = 102334155; b_table[125] = 936754021; sum_table[125] = 227965556; a_table[126] = 777658301; b_table[126] = 536081642; sum_table[126] = 874523386; a_table[127] = 908166784; b_table[127] = 62257027; sum_table[127] = 979959997; a_table[128] = 414297563; b_table[128] = 740311673; sum_table[128] = 181017005; a_table[129] = 696755803; b_table[129] = 16889715; sum_table[129] = 325674487; a_table[130] = 107048889; b_table[130] = 497064675; sum_table[130] = 250767130; a_table[131] = 591988356; b_table[131] = 259264027; sum_table[131] = 265032508; a_table[132] = 766181120; b_table[132] = 849730686; sum_table[132] = 816250057; a_table[133] = 200782252; b_table[133] = 688201148; sum_table[133] = 150347456; a_table[134] = 207763088; b_table[134] = 762197960; sum_table[134] = 889945798; a_table[135] = 699302941; b_table[135] = 924144696; sum_table[135] = 465179768; a_table[136] = 774336334; b_table[136] = 212190718; sum_table[136] = 24980162; a_table[137] = 652546545; b_table[137] = 126861908; sum_table[137] = 766767630; a_table[138] = 94168860; b_table[138] = 843510426; sum_table[138] = 448640100; a_table[139] = 215953567; b_table[139] = 497586118; sum_table[139] = 412760757; a_table[140] = 105381649; b_table[140] = 409144953; sum_table[140] = 918927986; a_table[141] = 295053465; b_table[141] = 47713330; sum_table[141] = 88395535; a_table[142] = 647675849; b_table[142] = 692878719; sum_table[142] = 323546317; a_table[143] = 553139664; b_table[143] = 40301295; sum_table[143] = 986326839; a_table[144] = 280196628; b_table[144] = 59357418; sum_table[144] = 300927871; a_table[145] = 107935489; b_table[145] = 984079976; sum_table[145] = 66415025; a_table[146] = 114364163; b_table[146] = 857722262; sum_table[146] = 474032223; a_table[147] = 338917961; b_table[147] = 687149818; sum_table[147] = 660078248; a_table[148] = 185051899; b_table[148] = 623326385; sum_table[148] = 951038777; a_table[149] = 142975631; b_table[149] = 764640852; sum_table[149] = 992359071; a_table[150] = 192473059; b_table[150] = 971215059; sum_table[150] = 269629050; a_table[151] = 817332360; b_table[151] = 361762912; sum_table[151] = 138281512; a_table[152] = 429727121; b_table[152] = 262160987; sum_table[152] = 17140120; a_table[153] = 460427984; b_table[153] = 76197081; sum_table[153] = 258210424; a_table[154] = 664986881; b_table[154] = 412305470; sum_table[154] = 997245295; a_table[155] = 798695907; b_table[155] = 786185929; sum_table[155] = 868803121; a_table[156] = 316940568; b_table[156] = 61323062; sum_table[156] = 872461079; a_table[157] = 794186389; b_table[157] = 43304567; sum_table[157] = 962125778; a_table[158] = 625627491; b_table[158] = 269812403; sum_table[158] = 850999773; a_table[159] = 942212112; b_table[159] = 454451410; sum_table[159] = 425456106; a_table[160] = 630738657; b_table[160] = 671480699; sum_table[160] = 297303745; a_table[161] = 128569876; b_table[161] = 502583589; sum_table[161] = 429034288; a_table[162] = 477517678; b_table[162] = 54272557; sum_table[162] = 639049590; a_table[163] = 511977608; b_table[163] = 11910585; sum_table[163] = 809544207; a_table[164] = 106887179; b_table[164] = 66405387; sum_table[164] = 828900129; a_table[165] = 9067912; b_table[165] = 894130268; sum_table[165] = 87474465; a_table[166] = 970162190; b_table[166] = 575849440; sum_table[166] = 137097725; a_table[167] = 529474289; b_table[167] = 593769454; sum_table[167] = 321391589; a_table[168] = 39578745; b_table[168] = 92016032; sum_table[168] = 126703061; a_table[169] = 719820489; b_table[169] = 112482719; sum_table[169] = 212924463; a_table[170] = 995872758; b_table[170] = 473605658; sum_table[170] = 254804719; a_table[171] = 123785862; b_table[171] = 251258080; sum_table[171] = 122921620; a_table[172] = 906935490; b_table[172] = 184329561; sum_table[172] = 377405769; a_table[173] = 798089477; b_table[173] = 782846909; sum_table[173] = 442312796; a_table[174] = 196286361; b_table[174] = 62157224; sum_table[174] = 691759095; a_table[175] = 851432142; b_table[175] = 416138535; sum_table[175] = 843343195; a_table[176] = 807721059; b_table[176] = 461061620; sum_table[176] = 312771029; a_table[177] = 894658683; b_table[177] = 616176675; sum_table[177] = 848284150; a_table[178] = 945587350; b_table[178] = 678425555; sum_table[178] = 689384339; a_table[179] = 48861014; b_table[179] = 604753335; sum_table[179] = 594675737; a_table[180] = 354243748; b_table[180] = 552196928; sum_table[180] = 197707057; a_table[181] = 511805060; b_table[181] = 858552087; sum_table[181] = 256554929; a_table[182] = 907058870; b_table[182] = 114954686; sum_table[182] = 595326694; a_table[183] = 394725881; b_table[183] = 630616009; sum_table[183] = 6137968; a_table[184] = 508267963; b_table[184] = 878585931; sum_table[184] = 91673137; a_table[185] = 655980397; b_table[185] = 516262682; sum_table[185] = 684180421; a_table[186] = 182879543; b_table[186] = 166380767; sum_table[186] = 853686391; a_table[187] = 904122757; b_table[187] = 322327934; sum_table[187] = 615667196; a_table[188] = 842883739; b_table[188] = 596692093; sum_table[188] = 215411806; a_table[189] = 760349062; b_table[189] = 381360721; sum_table[189] = 969810709; a_table[190] = 468426494; b_table[190] = 566732752; sum_table[190] = 137214484; a_table[191] = 107323927; b_table[191] = 887363186; sum_table[191] = 486280985; a_table[192] = 467032750; b_table[192] = 399957146; sum_table[192] = 987685209; a_table[193] = 586659342; b_table[193] = 634945236; sum_table[193] = 647326401; a_table[194] = 888240634; b_table[194] = 653954831; sum_table[194] = 623358246; a_table[195] = 86045214; b_table[195] = 756454266; sum_table[195] = 287595433; a_table[196] = 67700365; b_table[196] = 333148069; sum_table[196] = 813980786; a_table[197] = 35114310; b_table[197] = 649360885; sum_table[197] = 274447670; a_table[198] = 304742948; b_table[198] = 582869158; sum_table[198] = 233294729; a_table[199] = 631565472; b_table[199] = 313969648; sum_table[199] = 719952478; a_table[200] = 790216554; b_table[200] = 470273943; sum_table[200] = 988788854; a_table[201] = 219778140; b_table[201] = 968341109; sum_table[201] = 147374220; a_table[202] = 521315079; b_table[202] = 777535498; sum_table[202] = 145965385; a_table[203] = 96966881; b_table[203] = 37802058; sum_table[203] = 213014661; a_table[204] = 38545482; b_table[204] = 164287988; sum_table[204] = 452096646; a_table[205] = 551848063; b_table[205] = 260558644; sum_table[205] = 470668192; a_table[206] = 628221787; b_table[206] = 586729136; sum_table[206] = 344262828; a_table[207] = 574047029; b_table[207] = 553825233; sum_table[207] = 923878255; a_table[208] = 822256242; b_table[208] = 91235384; sum_table[208] = 695495078; a_table[209] = 169193802; b_table[209] = 252010127; sum_table[209] = 897155405; a_table[210] = 538182908; b_table[210] = 64173422; sum_table[210] = 688874398; a_table[211] = 276091666; b_table[211] = 677520425; sum_table[211] = 656817027; a_table[212] = 28713044; b_table[212] = 796314657; sum_table[212] = 138442035; a_table[213] = 872486946; b_table[213] = 943561247; sum_table[213] = 604307876; a_table[214] = 156707159; b_table[214] = 9640852; sum_table[214] = 543319220; a_table[215] = 974887031; b_table[215] = 469430584; sum_table[215] = 744889168; a_table[216] = 985613290; b_table[216] = 718081119; sum_table[216] = 85028218; a_table[217] = 519986622; b_table[217] = 608244824; sum_table[217] = 499848980; a_table[218] = 387432377; b_table[218] = 65558086; sum_table[218] = 522653509; a_table[219] = 532870014; b_table[219] = 151640441; sum_table[219] = 538714393; a_table[220] = 960002226; b_table[220] = 973044099; sum_table[220] = 468311033; a_table[221] = 694297011; b_table[221] = 90782789; sum_table[221] = 332660069; a_table[222] = 442691961; b_table[222] = 295709061; sum_table[222] = 328597245; a_table[223] = 878992079; b_table[223] = 822302868; sum_table[223] = 439150068; a_table[224] = 120136665; b_table[224] = 181269425; sum_table[224] = 243348294; a_table[225] = 8390086; b_table[225] = 480986305; sum_table[225] = 413641875; a_table[226] = 862706445; b_table[226] = 26906579; sum_table[226] = 942129802; a_table[227] = 603532786; b_table[227] = 839655185; sum_table[227] = 297317857; a_table[228] = 496969285; b_table[228] = 544877740; sum_table[228] = 433968764; a_table[229] = 139501346; b_table[229] = 673711292; sum_table[229] = 182614565; a_table[230] = 708897480; b_table[230] = 201546895; sum_table[230] = 566984980; a_table[231] = 961771168; b_table[231] = 565178724; sum_table[231] = 531500713; a_table[232] = 112730963; b_table[232] = 855259552; sum_table[232] = 403967384; a_table[233] = 959231025; b_table[233] = 81320978; sum_table[233] = 951487999; a_table[234] = 539623406; b_table[234] = 276938191; sum_table[234] = 930291404; a_table[235] = 49423109; b_table[235] = 467586512; sum_table[235] = 661604891; a_table[236] = 840812253; b_table[236] = 990159489; sum_table[236] = 741481621; a_table[237] = 746364196; b_table[237] = 250883453; sum_table[237] = 925901480; a_table[238] = 150230093; b_table[238] = 55929613; sum_table[238] = 492060754; a_table[239] = 874414528; b_table[239] = 165519242; sum_table[239] = 135699004; a_table[240] = 711883378; b_table[240] = 370029961; sum_table[240] = 833167350; a_table[241] = 568851772; b_table[241] = 362824466; sum_table[241] = 170994391; a_table[242] = 93596191; b_table[242] = 12536329; sum_table[242] = 179005496; a_table[243] = 204019072; b_table[243] = 283824750; sum_table[243] = 848959457; a_table[244] = 66868890; b_table[244] = 218944498; sum_table[244] = 319298348; a_table[245] = 793850486; b_table[245] = 510473410; sum_table[245] = 274846726; a_table[246] = 300340349; b_table[246] = 400060883; sum_table[246] = 366785925; a_table[247] = 158363670; b_table[247] = 452313353; sum_table[247] = 939666536; a_table[248] = 382629633; b_table[248] = 768896326; sum_table[248] = 970898130; a_table[249] = 722011322; b_table[249] = 166367440; sum_table[249] = 349728187; ll idx = n / 40000000; if(idx == 0){ a = 0;b = 1;sum = 1; }else{ a = a_table[idx];b = b_table[idx];sum = sum_table[idx]; } for(ll i=idx * 40000000 + 1;i