## super_log

#include <bits/stdc++.h>
#define maxn 1000005
using namespace std;
int prime[maxn], isnprime[maxn], fai[maxn], cnt;
void sieve()
{
isnprime[1] = 1;
fai[1] = 1;
for (register long long i = 1; i <= 1000000; i++)
{
if (!isnprime[i])
prime[++cnt] = i, fai[i] = i - 1;
for (int j = 1; j <= cnt && prime[j] * i <= 1000000; j++)
{
isnprime[i * prime[j]] = 1;
if (i % prime[j] == 0)
{
fai[i * prime[j]] = fai[i] * prime[j];
break;
}
fai[i * prime[j]] = fai[i] * (prime[j] - 1);
}
}
}
int t, m, a, b, phi[maxn], ct;
int my_pow(int a, int p, int m)
{
long long ret = 1, tem = a;
while (p)
{
if (p & 1)
ret = ret * tem % m;
tem = tem * tem % m;
p >>= 1;
}
return ret;
}
int my_pow2(int a, int p)
{
long long ret = 1, tem = a;
while (p)
{
if (p & 1)
ret = ret * tem;
tem = tem * tem;
p >>= 1;
}
return ret;
}
int get2(int b)
{
if (b == 0)
return 1;
if (b == 1)
return a;
return my_pow2(a, get2(b - 1));
}
int get(int b, int m)
{
if (m == 1)
return 0;
if (b == 0)
return 1;
int ans;
if (b > ct)
ans = get(b - 1, fai[m]), ans += fai[m];
else
ans = get2(b - 1);
return my_pow(a, ans, m);
}
int main(void)
{
scanf("%d", &t);
sieve();
while (t--)
{
scanf("%d%d%d", &a, &b, &m);
if (a == 1)
{
cout << 1 % m << endl;
continue;
}
if (m == 1)
{
cout << "0\n";
continue;
}
if (b == 0)
{
printf("1\n");
continue;
}
if (a >= 8)
ct = 1;
else if (a >= 4)
ct = 2;
else if (a == 3)
ct = 2;
else if (a == 2)
ct = 3;
printf("%d\n", get(b, m));
}
}


## Tsy’s number 5

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
struct Mod
{
const ll M, SM;
Mod(ll M) : M(M), SM(sqrt(M) + 0.5) {}
ll qadd(ll &a, ll b) const { return a += b, a < M ? a : (a -= M); } //假如a和b都已经在同余系内，就不必取模了，取模运算耗时很高
ll add(ll a, ll b) const { return qadd(a = (a + b) % M, M); }		//考虑a和b不在同余系内甚至为负数的情况
ll mul(ll a, ll b) const { return add(a * b, M); }
/*
ll mul(ll a, ll b) const { return add(a * b, -M * ll((long double)a / M * b)); }
ll mul(ll a, ll b) const //无循环快速计算同余乘法，根据a*b是否爆ll替换a*b%M，需要a<M且b<M，可以调用时手动取模
{
ll c = a / SM, d = b / SM;
a %= SM, b %= SM;
ll e = add(add(a * d, b * c), c * d / SM * (SM * SM - M));
return add(add(a * b, e % SM * SM), add(c * d % SM, e / SM) * (SM * SM - M));
}
*/
ll pow(ll a, ll b) const
{
ll r = 1;
for (a = add(a, M); b; b >>= 1, a = mul(a, a))
if (b & 1)
r = mul(r, a);
return r;
}
ll inv(ll a) const { return pow(a, M - 2); } //要求M为素数
/*
ll inv(ll a) const							 //模m下a的乘法逆元，不存在返回-1（m为素数时a不为0必有逆元）
{
ll x, y, d = gcd(a, M, x, y);
return d == 1 ? add(x, M) : -1; //return pow(a, phi(M) - 1);
}
vector<ll> sol(ll a, ll b) const //解同余方程，返回ax=b(mod M)循环节内所有解
{
vector<ll> ans;
ll x, y, d = gcd(a, M, x, y);
if (b % d)
return ans;
ans.push_back(mul((b / d) % (M / d), x));
for (ll i = 1; i < d; ++i)
return ans;
}
*/
ll log(ll a, ll b) const
{
unordered_map<ll, ll> x;
for (ll i = 0, e = 1; i <= SM; ++i, e = mul(e, a))
if (!x.count(e))
x[e] = i;
for (ll i = 0, v = inv(pow(a, SM)); i <= SM; ++i, b = mul(b, v))
if (x.count(b))
return i * SM + x[b];
return -1;
}
} M(998244353);
struct EulerSieve
{
vector<int> p, m, phi, mu; //素数序列，最小素因子，欧拉函数，莫比乌斯函数
EulerSieve(int N) : m(N, 0), phi(N, 0), mu(N, 0)
{
phi[1] = mu[1] = 1;					 //m[1]=0,m[i]==i可判断i是素数
for (long long i = 2, k; i < N; ++i) //防i*p[j]爆int
{
if (!m[i])
p.push_back(m[i] = i), phi[i] = i - 1, mu[i] = -1; //i是素数
for (int j = 0; j < p.size() && (k = i * p[j]) < N; ++j)
{
phi[k] = phi[i] * p[j];
if ((m[k] = p[j]) == m[i])
{
mu[k] = 0;
break;
}
phi[k] -= phi[i];
mu[k] = -mu[i];
}
}
}
} e(1e5 + 9);
ll a[] = {0, 535977894, 824090374, 966355039, 844688201, 642370795, 275302155, 412496450, 351516858, 758344268, 410326949, 885337764, 833437643, 538941894, 271795048, 447629209, 717437611, 656631107, 247231186, 169703783, 990456193, 501845081, 925025543, 594413550, 207768571, 927850544, 70897603, 955296959, 694095430, 180420785, 203871433, 927818684, 239425325, 753017780, 983651693, 816765852, 173664845, 578432829, 189259009, 390230583, 523151811, 861880791, 82787274, 207422220, 438956898, 983406554, 784578299, 262392277, 804955230, 314170684, 971594286, 224938360, 819980744, 237762570, 647272052, 158541460, 71655539, 478183961, 69213427, 212142319, 40641371, 351615372, 109219314, 215457754, 839274293, 471635686, 656110335, 412179567, 353272899, 162747922, 323873941, 290750052, 20055930, 320615278, 808314734, 586254171, 770146490, 801987924, 375201768, 973354358, 64288140, 30045836, 18769272, 139134951, 340469322, 741089853, 152465175, 88311691, 984030370, 776930584, 752386088, 143304586, 142151017, 12478459, 756222391, 595709359, 759751223, 619533230, 854747387, 932441226, 461781693, 970915034, 339112813, 233122318, 648934547, 954293182, 9294418, 513109596, 278576223, 641712443, 812006606, 236047469, 859777823, 971307234, 333418038, 754598761, 645929752, 116833839, 764092397, 831022567, 769154241, 50123780, 580404024, 222562382, 770380141, 690451183, 798542315, 897943387, 621999182, 959543334, 705809824, 761924662, 618271603, 175560381, 459554926, 800485977, 976154908, 883751468, 567060351, 663178564, 991560128, 491047593, 290102842, 611204715, 977788683, 300076736, 440110485, 128448070, 272599995, 621882616, 35991823, 841405563, 315834117, 842371103, 326644734, 628558886, 363764462, 94337168, 304583668, 593200820, 653388070, 919332497, 853535557, 70967170, 644418281, 10057177, 727883679, 272875233, 819999559, 853196533, 933728966, 644474101, 704192241, 742100361, 156923211, 51925951, 786932390, 756305863, 256832282, 41977451, 241270931, 704304745, 161853865, 639452887, 620306236, 796649173, 570084350, 733217962, 424596817, 89482994, 187643078, 72123046, 283688777, 328410926, 915819492, 414576058, 503075557, 753692511, 273947656, 949430276, 179154857, 667665170, 809421312, 310285383, 817367942, 59845204, 593425668, 493434958, 495237662, 103836246, 357487940, 362996911, 30378096, 217571720, 566122495, 459978283, 303727729, 284658650, 459215815, 276334900, 587585139, 896015376, 251786569, 769883318, 864890289, 601597575, 994653369, 657908283, 437222282, 740878530, 961057946, 129521788, 692290590, 658425180, 984298605, 97150123, 746894851, 47086327, 788849506, 361249017, 239299760, 541287907, 850807294, 860898171, 687336666, 923561724, 930150083, 358652026, 685912662, 616662334, 724888431, 630716632, 165868823, 996486438, 872656834, 569237967, 893977819, 614250419, 380331209, 638376564, 819774113, 639083827, 326611913, 713016165, 77248254, 393469385, 925453150, 206447218, 35478159, 804909560, 109642673, 578477943, 48294188, 483932690, 745681781, 363982532, 885993424, 376057859, 48778413, 238969962, 852424354, 454657220, 932202553, 971253075, 752295432, 594754205, 541167885, 101006865, 735753283, 266240069, 946759297, 993546979, 648703039, 641751957, 957386564, 559892478, 866824724, 651917780, 681742206, 914860176, 995133426, 963518543, 122734001, 850773902, 718294984, 982077522, 747855092, 59306684, 328749091, 653452039, 791857315, 675650904, 285742025, 115141331, 302916471, 187175236, 794270408, 649299839, 37368535, 787385064, 358383923, 424078708, 974448295, 656528851, 325216292, 27142237, 569929425, 788751092, 341251101, 553452230, 59672982, 203066831, 728912240, 302769296, 589354447, 719681405, 861709693, 487358273, 331335036, 134286455, 852297317, 429539830, 915825923, 944087000, 839810457, 821885473, 300511340, 448201153, 289715669, 705492009, 244295844, 626741103, 141141115, 444190749, 606598814, 165007366, 786335728, 987363889, 595605499, 421264570, 391548625, 123099601, 133110210, 632196202, 423435323, 308333281, 686987517, 787634249, 476684612, 54218607, 157099372, 761420709, 986225022, 746783818, 496684535, 434700191, 788549250, 445459518, 256246645, 63600604, 402792725, 124701313, 319334141, 893021981, 386170341, 524461150, 667117316, 639909762, 260385300, 816614545, 388407204, 17718038, 983697729, 895972898, 510816595, 660743096, 80537445, 33702443, 599770711, 215982973, 438865781, 514238553, 843597259, 387249488, 600831751, 360334793, 11051982, 492235401, 347626519, 742680023, 149544889, 631055497, 309320992, 48186648, 736859429, 395532883, 429678077, 194070161, 414290631, 89120410, 450220048, 848180743, 616406692, 714115048, 493858031, 785681782, 271326458, 550169680, 38026413, 830640013, 493792762, 556039882, 859569602, 753148171, 227720189, 265978392, 825854274, 348046681, 78868363, 923496365, 518818339, 207845153, 804051804, 560972237, 279613699, 642976081, 495422354, 607741877, 111997445, 204905789, 474365739, 975599226, 668867572, 90503463, 32946535, 508779295, 39104475, 884740649, 623999720, 627988354, 952182330, 923541702, 745890847, 359954593, 632621537, 200697656, 588518369, 586335274, 925224598, 784556582, 257961241, 98664155, 114965313, 150375411, 504951265, 385959114, 202170862, 15564909, 942990332, 192404122, 48981154, 611429290, 878467220, 15922653, 235408928, 515694245, 991422427, 968660530, 200138098, 57556630, 60323338, 749754675, 258626747, 698436112, 210347689, 190712090, 264040999, 892426739, 645622403, 679891775, 814577040, 950922764, 306273330, 871429019, 322885798, 182327421, 448751091, 110439113, 598690201, 655610148, 693738261, 741320691, 424743909, 203071698, 30623192, 151893755, 167917706, 845569134, 362806291, 908139881, 288476812, 216667318, 364610414, 927352113, 634981576, 128472195, 303992638, 473726623, 766154459, 200057456, 192814991, 44014021, 986262473, 110399125, 876230934, 165226991, 886532912, 220815659, 751175480, 376586125, 705104812, 595503944, 807925431, 636393200, 472775663, 969989266, 991859731, 327138311, 194833050, 626036839, 564184032, 634694002, 706306978, 339089877, 74966055, 233460263, 130168828, 527081813, 23554382, 238085591, 775862438, 961391341, 756282851, 885747204, 120082446, 531414321, 941876508, 606981126, 20290804, 233300598, 921602884, 384221218, 798867727, 147732352, 838178527, 367790206, 120819896, 80131887, 969947930, 751341132, 135829164, 918375106, 279090978, 390581324, 815074498, 214843849, 396318259, 540583314, 126492775, 441249128, 374478559, 231694217, 948348896, 354522214, 355747662, 802859439, 76515620, 152091880, 418330817, 491200361, 358543893, 719064084, 527173349, 400233021, 454249088, 554533488, 796099914, 961682074, 826110169, 835615609, 962660735, 695277104, 340450132, 161599508, 504177220, 773577692, 128780530, 599789456, 730076360, 170187955, 673245400, 644066416, 684063040, 747507830, 39066400, 719062692, 813557250, 943461700, 907635938, 498275348, 199741191, 436559325, 305279385, 392980807, 32855739, 583375964, 371700993, 502472011, 993266048, 574126310, 577129908, 247413105, 399844213, 523283309, 311358165, 929357043, 141192079, 87263096, 701437036, 964252895, 320557665, 675809059, 4641230, 438391849, 448594876, 6327058, 620231101, 680663871, 385140949, 701367163, 3048293, 926376652, 966785067, 946674684, 385455238, 880515621, 675413906, 557238057, 97421660, 474539734, 950932940, 302410554, 361912768, 964365543, 544889396, 1376218, 695973844, 731847030, 121505638, 779996848, 455785895, 669050365, 841156489, 666708279, 356805103, 996449022, 834152069, 765043553, 663051135, 707540361, 490636496, 315846644, 698770573, 170980873, 783292266, 393906246, 965554197, 643174955, 25323455, 378300448, 844401367, 330427250, 473340018, 330176862, 575768688, 619587743, 182113557, 911325142, 210837769, 254750840, 778564522, 446501419, 135827819, 391185260, 221498305, 810787751, 969250444, 25913448, 175413873, 715847871, 761895083, 477347154, 229461411, 915926912, 162937879, 727872712, 625101369, 569222944, 814274904, 781870594, 128183643, 96273813, 502556749, 652672307, 764510684, 763901481, 172811126, 923094595, 888150879, 363756756, 653289877, 885626182, 459792395, 366651940, 318530494, 320393265, 992357679, 184338335, 231833782, 40502454, 448361376, 109154034, 952418690, 741933072, 211523858, 322246474, 585039707, 240101776, 386523525, 408752716, 641114711, 59432636, 982995850, 474707071, 649128826, 363425493, 828455436, 434285319, 360910918, 97361324, 72870590, 448448195, 833476209, 902688097, 142061320, 769702707, 851073141, 902437102, 75498732, 22069888, 779478152, 494280990, 585594704, 883340730, 210940679, 543438664, 362862781, 406298911, 85274181, 705348879, 751650517, 487588118, 843331684, 457437801, 903052749, 705079314, 422565257, 90525446, 305359872, 978921059, 869405151, 864436621, 393911986, 108573591, 970835579, 759711442, 141805881, 983464872, 424993528, 207914973, 295655089, 88913428, 916818958, 266074006, 642261896, 146913423, 628132474, 408052359, 71100353, 485727720, 445527122, 489658217, 881627083, 140780409, 899190315, 830864470, 772468947, 658216810, 425385691, 13021225, 521709800, 58712697, 816416503, 641011938, 241319198, 959561231, 176511366, 898929655, 913052764, 344448217, 129030603, 625002534, 593081664, 885581622, 748117063, 936922617, 210519037, 629208652, 420328991, 966437858, 101318167, 820475509, 766186286, 517101967, 67643959, 700601939, 32145692, 968206576, 479760933, 321383984, 754810403, 852513544, 140336964, 694853340, 270747568, 47785262, 386215111, 544798832, 109744877, 87739738, 957664101, 495396711, 74055053, 24155304, 542124056, 444419933, 222539400, 23937466, 442234270, 396738774, 341545364, 465275931, 918261767, 878724233, 236320839, 165322451, 701740441, 925088241, 608560013, 793733166, 894099563, 736108481, 373380669, 581351420, 241029737, 429127207, 232956622, 50598510, 872489402, 602198493, 215913304, 396282492, 529586224, 646058284, 357378034, 597029603, 505147722, 433207671, 908852013, 329531936, 598153536, 944809217, 779530971, 145389249, 71781801, 244353037, 457189556, 768558302, 617313030, 408193819, 865029648, 613540049, 802282253, 458847035, 389465696, 385020378, 134431810, 219985002, 282293028, 502475403, 435833664, 706882380, 421026405, 857595558, 796771823, 565440543, 271873319, 947003255, 467494122, 339767018, 430834567, 475196427, 366601426, 63186868, 617077795, 736255237, 936855472, 517614781, 252827955, 319308237, 55594511, 919262022, 468354212, 898439401, 738813121, 419001365, 337460738, 217562355, 621083368, 806183077, 959448842, 207560633, 42643608, 130112224, 982458698, 298840879, 949474252, 485802690, 441777619, 224639034, 487762526, 841577391, 589636276, 650284213, 29561402, 844657931, 69093925, 522121493, 100888963, 526681649, 848912276, 138416842, 820399304, 820060122, 827092449, 890607665, 502425826, 496066764, 391730481, 285531950, 450326370, 878943049, 901200148, 316718938, 554656870, 616470718, 410205989, 711087821, 384084112, 905137312, 343634705, 584506507, 947953336, 997395558, 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659207136, 111049277, 398459083, 92540150, 543130437, 160603177, 866600079, 23440272, 377159832, 14986769, 322688065, 408990641, 588573074, 349918028, 956406916, 340217859, 794507050, 340017287, 25412092, 863971300, 231809299, 343977445, 376944740, 937795736, 235040396, 588137121, 843182855, 731503824, 754036815, 788942205, 453531685, 421829702, 759360021, 748838961, 627128020, 330472193, 948413674, 622961819, 320481499, 498233171, 193606355, 939176863, 954726404, 448793830, 137208384, 767260748, 108373725, 982462153, 437651463, 176192435, 155633754, 820736058, 831549876, 88659573, 698161559, 266974163, 285392609, 132505454, 868257883, 638405982, 23533516, 420487127, 569822148, 633945119, 909601200, 811508335, 710212977, 826598462, 464077842, 877750752, 651732256, 5507738, 979953981, 415870390, 254571550, 396534243, 114498737, 607760418, 367156855, 8531374, 506569244, 967355366, 958578617, 211735691, 187695075, 674388711, 560541357, 80210899, 410309505, 835782229, 182884308, 597028548, 123437945, 761007237, 143357172, 77586445, 985492613, 39465313, 10444105, 579576592, 556140822, 605024812, 460247688, 675377058, 14945352, 673240458, 869388140, 153010201, 752741633, 992309189, 382163817, 83799060, 6354974, 791800548, 791255690, 236782434, 992188895, 447067378, 940576537, 805728560, 7138858, 310055346, 893545218, 848527732, 580715592, 188371935, 757282658, 823196419, 12960288, 291652678, 514850869, 922359603, 560597611, 348345253, 854986422, 63196214, 64798524, 25681924, 948671797, 542154855, 525475418, 42592377, 866633775, 391772890, 443292814, 790709218, 907402055, 711588663, 351157172, 228641619, 635732820, 48785923, 287427561, 124989701, 985966272, 389859023, 509586133, 303544733, 347307562, 584267458, 805809375, 906824388, 178186467, 335971086, 439281429, 254302793, 508945359, 834535959, 449329259, 426717512, 564798605, 580757863, 546843520, 723767935, 711186786, 463505894, 890897092, 689215785, 423969156, 622997197, 215444946, 872133394, 512933669, 2152636, 122731916, 95856504, 989161250, 762830034, 114143994, 986575945, 281533542, 919376657, 321335591, 397300690, 886790005, 801134929, 95715218, 365987608, 249776848, 944550396, 212887510, 994898025, 842530395, 405049115, 714954022, 380811988, 522872061, 621611908, 466261719, 258651441, 175671850, 255412245, 519267384, 598452451, 731192350, 797820382, 823200339, 842838117, 822477520, 130860908, 723675651, 67500858, 197997080, 44003452, 616858383, 616107229, 984015043, 355125358, 818001857, 378404211, 333588830, 417665949, 783242054, 674149844, 341824385, 744051420, 742848555, 462890375, 347500178, 172807750, 84326212, 6947838, 901797089, 187469124, 525785362, 677805988, 419611277, 948420949, 358826522, 171527776, 882406094, 952429901, 649635238, 39137973, 558542282, 630053870, 815280670, 93423904, 919861934, 698460479, 907009055, 101131928, 51011223, 853749333, 398118602, 270066117, 374899095, 718435060, 733294599, 611776431, 505709523, 462907004, 936983563, 430460412, 516734416, 191502371, 627625137, 265282339, 526578270, 449518192, 712140726, 282615038, 278500232, 18774660, 517013709, 845277268, 101762052, 326880127, 660625156, 685710711, 136911027, 155738765, 629154182, 18273394, 92198734, 978300601, 466873157, 584349640, 413532164, 786162240, 831385374, 297513069, 966090131, 448916051, 83938740, 195971336, 485141380, 750109423, 204217937, 849794923, 54572665, 610363458, 189680264, 947370178, 913405747, 551099517, 789836465, 132001992, 950562100, 454158557, 157141904, 62573993, 133731376, 109239251, 213639840, 645754347, 562534016, 959624377, 562883485, 871071543, 584242820, 5946241, 864340587, 839543350, 817321180, 754376407, 556877904, 654039902, 863173388, 610264276, 739112199, 726867451, 76346179, 99424183, 448814391, 201817141, 341061602, 515887097, 811986671, 841535639, 683813892, 498997571, 20204997, 446892476, 188213374, 263074111, 433340042, 313069877, 885914635, 263907230, 162422794, 754177278, 372532354, 817916764, 106849142, 536816795, 436823112, 124926459, 312684068, 976683959, 667006071, 302815127, 503787062, 695221300, 354471685, 139345719, 664923353, 266531205, 602090739, 298500204, 549323563, 955048624, 691309734, 695615384, 579115163, 54967279, 268340822, 410011851, 883576456, 472511998, 163026422, 328377061, 589393111, 803262068, 861878852, 891229460, 353295059, 611780802, 951004426, 479401177, 620112229, 563092319, 932636462, 19806101, 234339608, 703714556, 897547753, 317075050, 591424637, 873644121, 542824532, 626698328, 321346698, 733177141, 635775978, 301017766, 124832010, 711560007, 436431924, 232160005, 686904113, 217706081, 371981820, 744651097, 54384517, 70172591, 191430148, 352161670, 831800296, 230028513, 468494914, 498093407, 333609240, 258906459, 804143948, 119354381, 982508603, 600140318, 376784300, 142890651, 202131889, 753862248, 135024420, 651874528, 186366076, 618505846, 585216400, 323874769, 73306054, 200184746, 604115795, 871452782, 434783207, 765445255, 525510404, 66510829, 822246978, 7526362, 970072510, 757193177, 591770293, 26593501, 537875513, 544321577, 460167422, 260092894, 340249925, 233888104, 609662249, 159668964, 695369107, 108626018, 501233684, 129807049, 627448727, 775475428, 595697346, 463291469, 204387534, 623578882, 96933760, 14132999, 431773976, 519348947, 41301867, 627608205, 511667664, 663996895, 439528348, 401718922, 344359959, 223117187, 90666066, 683744762, 513163276, 821067531, 371335945, 639320206, 717640143, 171989490, 58280351, 896014107, 857912548, 550566261, 432001223, 647911847, 336043802, 753846227, 541913562, 325372123, 505378779, 2684055, 301584761, 569452264, 577275248, 585591841, 773123767, 83702566, 378567758, 810806103, 94616060, 42363467, 916420954, 247794204, 223597165, 683582209, 74007833, 913434706, 612271796, 3529544, 346750273, 513541684, 145310012, 226329059, 994278607, 936737719, 171821863, 676470533, 833826882, 718352590, 165162077, 496509583, 911086736, 841774466, 625724182, 942708489, 956887697, 496019292, 930547945, 242150425, 872551706, 272038665, 93465441, 857065526, 935915615, 839092457, 762248989, 254462589, 408032391, 384574978, 342663214, 411968287, 257051790, 338516676, 836274101, 561417455, 111217289, 321015844, 195944067, 798454860, 562695272, 954666728, 459878566, 924395799, 199473842, 349757974, 558564438, 453569905, 318551303, 597530589, 290934394, 261005055, 203578476, 237672105, 143525500, 693841372, 648846888, 139872616, 426223943, 409536848, 635746268, 562544417, 879888883, 656165231, 119498917, 319472714, 408655865, 109761696, 435449497, 846762171, 318784336, 34946318, 83496325, 454783214, 734056540, 426115847, 728967922, 70930353, 16768688, 29478707, 453594706, 55014968, 858400834, 867975609, 752611064, 64595167, 974858963, 160412219, 455087252, 626293858, 776975777, 768394385, 55925173, 399567743, 314367379, 804563593, 823451220, 2307013, 220801876, 676666538, 146643136, 187846211, 236683752, 382195669, 828144532, 241193010, 101280997, 139800231, 754021397, 182160838, 143851370, 928573820, 773044848, 59459860, 751656657, 499641056, 165392734, 438308341, 24987358, 734004517, 617640345, 117089477, 882862475, 995620920, 738924867, 193254834, 753418793, 650629896, 712253893, 293263088, 513150554, 131768625, 707522155, 859395355, 35904827, 711819656, 699472061, 68864432, 553792558, 418252087, 451488095, 780428953, 108203254, 777659480, 976248066, 342486737, 943135338, 660056949, 501278584, 356222008, 303820844, 720529393, 241916347, 845475727, 357652419, 155168566, 916958457, 950633291, 241270304, 268248418, 206788363, 327944176, 363705024, 262781892, 814805433, 814758713, 212806250, 613204648, 76449365, 429700605, 620179826, 211215996, 171604626, 491305000, 629555816, 788617850, 206923633, 897496306, 994810556, 346860176, 994247550, 299236041, 881444506, 699111772, 615111568, 643357209, 283580559, 660390832, 793607713, 461694548, 75737531, 653551593, 279644003, 822171780, 213174010, 540492939, 364063446, 687589658, 696340255, 471438470, 838500325, 207767876, 416916378, 11298981, 278559136, 154132196, 684063865, 709756211, 930291369, 758844663, 94577019, 832742042, 447273826, 385535092, 147684133, 145167038, 685388981, 856408395, 227018343, 968991648, 84365506, 779836909, 443530906, 435829418, 367473752, 958727279, 746066868, 25926192, 966643796, 154740063, 363066528, 939406354, 478798493, 845990147, 136106899, 467513205, 712796799, 512510232, 91633765, 339025354, 825180291, 450110021, 22475262, 471295186, 57616612, 787132622, 982602644, 995887198, 644598494, 49972463, 202282761, 661265871, 739736511, 74280744, 812674000, 979354956, 456357245, 458546271, 530836532, 367885753, 841271317, 493649737, 436205068, 401423581, 213338152, 541381977, 342224694, 26501570, 459791722, 217489454, 91290382, 532510096, 560497981, 848554400, 798332362, 337483554, 660438077, 269616894, 780391567, 362979095, 720195686, 480491535, 388521806, 525666227, 12496289, 373501689, 159266671, 260638167, 248240771, 244263410, 156118776, 620606733, 263894436, 441876387, 949539344, 710729743, 753428977, 402989863, 91219547, 513442781, 895505774, 618726492, 653470496, 695647372, 55254849, 929943087, 113254312, 675370230, 364684747, 471753990, 365764613, 554255748, 923961501, 147413112, 183272999, 655426337, 658695758, 367424696, 626371245, 635661883, 91583942, 631801290, 705579794, 440480509, 687510587, 516255401, 528551535, 587618450, 307885920, 883638391, 747569047, 625287671, 918372972, 601891315, 514450116, 349981845, 646544530, 285282077, 686479628, 768595193, 434905744, 250919468, 457435215, 326291967, 532884728, 330627695, 215380805, 970696677, 90226011, 877177495, 955626986, 722464980, 811393415, 953785524, 882330053, 694151516, 876681689, 885272020, 303771936, 262338972, 917012183, 753291205, 400597149, 603401354, 450927179, 108963777, 678253166, 563305319, 156449044, 386412728, 623613015, 867699549, 40899671, 337493156, 667661035, 768418351, 22852273, 713454437, 379303163, 131482400, 844597714, 634521702, 956324263, 43841541, 627234376, 957791929, 761343152, 304652980, 66650579, 573665531, 6758900, 261346954, 614299150, 200781379, 382882903, 255902961, 477211610, 405594212, 646664365, 339986886, 723701730, 586875947, 139765660, 338526421, 326530260, 297374104, 577579081, 794859298, 194327037, 92398121, 997620710, 555834522, 513567310, 15588709, 822133875, 179232807, 142043579, 76270357, 588833945, 185442440, 111823314, 628414548, 793696929, 334729561, 383396653, 524302962, 547344953, 136718089, 834632693, 439575094, 80304109, 901040118, 375612660, 969124378, 211997029, 388453185, 731543887, 528040286, 834695492, 602094950, 431687056, 182491440, 164120016, 12105220, 195194113, 805408196, 710421819, 901749101, 935072991, 706459715, 164159674, 42667042, 97051273, 944951693, 317030470, 696429833, 781839970, 252627603, 205326962, 784048561, 847081882, 409245980, 334906526, 176889604, 789764596, 202668956, 321077350, 454434120, 361838340, 331783499, 985451653, 624288167, 762229970, 833801075, 94419237, 70561307, 331036567, 549169306, 786785761, 193176841, 568905574, 779634181, 453453636, 441839312, 516420551, 220893761, 723682806, 50761629, 446102374, 201474509, 303495916, 131445433, 537558054, 416277140, 948674560, 474068991, 824133496, 925466762, 839255656, 377190365, 836605786, 465780898, 872832003, 950416131, 295960122, 239197292, 818983832, 78180788, 579506944, 442088179, 914721222, 915375598, 414531242, 349315336, 196966202, 172725109, 308291302, 286744598, 464787386, 832466335, 235350615, 309297150, 541791442, 304158112, 877228149, 465956077, 663730887, 376328682, 102390303, 49707724, 584844567, 194834321, 310656886, 225158004, 799836945, 821199478, 63043059, 411949262, 597280995, 868200381, 906535704, 224650302, 571813872, 756963772, 283905985, 981737541, 820708987, 541974154, 360420921, 614915831, 645611566, 879578336, 44245868, 99976386, 365269611, 877283685, 321089980, 207903315, 201545153, 627218091, 925497718, 957160195, 200277587, 402101936, 73976739, 228299247, 4238592, 857638898, 23413937, 229387318, 836033062, 123921006, 905807278, 964062294, 202280561, 967452882, 79371202, 709049810, 554866152, 208875733, 936039369, 677996034, 124954582, 584672265, 790129244, 904875016, 522636522, 819176564, 202036570, 154467418, 110346094, 259161877, 112339418, 218209033, 741006833, 611976369, 203938656, 86685423, 2829377, 524588907, 173773443, 72147293, 370827600, 149176849, 844051742, 819836595, 728967381, 327299495, 411152789, 4580485, 73566702, 632011767, 395900191, 888290039, 583172447, 605223781, 564546817, 741068072, 225426786, 417621692, 583946575, 477517987, 730179200, 721625169, 291119896, 581110129, 571710731, 336976901, 251582952, 668125961, 435410668, 399288405, 213019661, 153760870, 311151205, 832138031, 196060976, 671621139, 27199692, 591942123, 294270118, 254086069, 146939041, 492756932, 601226590, 377558243, 698477980, 211770594, 398639455, 800799469, 905920193, 875831425, 330418130, 882165181, 804335972, 801950710, 494012365, 833154971, 900254250, 638850711, 135405557, 940138736, 9111740, 865156626, 64679365, 18983036, 946885739, 222976951, 376850196, 520227145, 596695108, 818422287, 594227206, 436538427, 297666886, 332597489, 743243870, 384067239, 953079398, 132490936, 886748625, 861960678, 284099948, 640729023, 80341935, 130735510, 432740713, 123362673, 712669135, 581978098, 484882077, 556158004, 557053310, 520679985, 113038899, 216337756, 925887251, 454288369, 248885032, 885627778, 978012260, 544280508, 557912382, 230390334, 780820520, 788735389, 472815700, 116933179, 212088719, 401168746, 159562236, 381139438, 454224784, 209781690, 675118001, 972620522, 55357115, 221798291, 172065449, 780772483, 955130695, 250649924, 33492544, 851534196, 98187505, 350244090, 389156879, 601325005, 113373433, 894737619, 691011705, 287422304, 563295923, 68749410, 412850866, 367925585, 316914995, 220800708, 922217911, 779772475, 831024578, 663460168, 498974869, 103850713, 344470565, 944194046, 575637912, 179538673, 166217018, 145304329, 286548516, 873963533, 964511267, 611058858, 328023599, 680795549, 120067508, 597989334, 472711914, 927960473, 988416567, 919193710, 974509394, 357552085, 260998610, 368831944, 898538361, 840083646, 705408144, 641751590, 261041462, 309235339, 881187094, 748520624, 226433712, 527934852, 32574127, 68082025, 780897588, 408377686, 5763340, 48456367, 944428905, 965224851, 562133375, 661306181, 626133775, 940540612, 334048570, 194695271, 615729050, 366624880, 866605805, 965240578, 462977847, 777679239, 461155637, 893323426, 768943360, 135739900, 472500397, 562119052, 362849902, 892081958, 357620566, 810636792, 168013307, 328872413, 530767273, 280413140, 570361941, 73790733, 721486032, 320360575, 366651617, 550495476, 449359521, 683063735, 670790498, 886640621, 721954327, 423049354, 176671948, 903143976, 757528967, 720359454, 985259103, 344796751, 677814437, 333327384, 33358556, 524125840, 858109016, 836343663, 609724202, 762081061, 877514221, 881906803, 83985175, 658004455, 771020745, 44959913, 977428391, 301887706, 176777664, 488654075, 2578760, 659427674, 843218989};
const ll N = 1e5 + 9, B = 12;
int main()
{
int t, n;
//ofstream fout("a.txt");
for (scanf("%d", &t); t--;)
{
scanf("%d", &n);
vector<ll> p(n + 1, 1);
ll pos = n / B, ans = a[pos];
//ll pos = 0, ans = 0;
for (ll i = pos * B + 1; i <= n; ++i)
{
for (ll j = 1, t = M.pow(2, e.phi[i]); j <= i; ++j)
p[j] = M.mul(p[j - 1], t);
for (int j = 1; j <= i; ++j)
{
ll tmp = M.mul(p[e.phi[j]], M.mul(e.phi[i], e.phi[j]));
if (j != i)
}
//if (i % B == 0)
//fout << ',' << ans, clog << i << '\n';
}
printf("%lld\n", ans);
}
}


## Greedy Sequence

#include <bits/stdc++.h>
using namespace std;
int main()
{
int t, n, k;
for (scanf("%d", &t); t--;)
{
scanf("%d%d", &n, &k);
vector<int> f(n + 1, 1), p(f);
for (int i = 1, a; i <= n; ++i)
scanf("%d", &a), p[a] = i;
for (int i = 1; i <= n; ++i)
{
for (int j = i - 1; j > 0; --j)
if (abs(p[i] - p[j]) <= k)
{
f[i] = f[j] + 1;
break;
}
printf("%d%c", f[i], i < n ? ' ' : '\n');
}
}
}


## Holy Grail

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1e18;
struct Graph
{
struct Vertex
{
vector<int> o;
};
struct Edge
{
int first, second;
ll len; //边长、容量，图论算法使用
};
vector<Vertex> v; //点集
vector<Edge> e;   //边集
Graph(int n) : v(n) {}
{
v[ed.first].o.push_back(e.size());
e.push_back(ed);
}
};
struct BellmanFord : Graph
{
vector<ll> d;
//vector<int> p;
BellmanFord(int n) : Graph(n) {}
{
d.assign(v.size(), INF);
//p.assign(v.size(), e.size());
vector<int> cnt(v.size(), 0), flag(v.size(), d[s] = 0);
for (deque<int> q(cnt[s] = flag[s] = 1, s); !q.empty(); q.pop_front())
for (int u = q.front(), i = flag[u] = 0, k, to; i < v[u].o.size(); ++i)
if (k = v[u].o[i], to = e[k].second,
d[to] > d[u] + e[k].len)
{
d[to] = d[u] + e[k].len /*, p[to] = k*/;
if (!flag[to])
{
if (v.size() == ++cnt[to])
return 0;
flag[to] = 1, q.push_back(to);
}
}
return 1;
}
};
int t, n, m;
int main()
{
for (scanf("%d", &t); t--;)
{
scanf("%d%d", &n, &m);
BellmanFord g(n);
for (int i = 0, x, y, z; i < m; ++i)
{
scanf("%d%d%d", &x, &y, &z);