#include using namespace std; #define all(...) std::begin(__VA_ARGS__), std::end(__VA_ARGS__) #define rall(...) std::rbegin(__VA_ARGS__), std::rend(__VA_ARGS__) #define OVERLOAD_REP(_1, _2, _3, _4, name, ...) name #define REP1(n) for(ll i=0;i<(n);i++) #define REP2(i, n) for (ll i=0;i<(n);i++) #define REP3(i, a, n) for (ll i=a;i<(n);i++) #define REP4(i, a, b, n) for(ll i=a;i<(n);i+=b) #define rep(...) OVERLOAD_REP(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) #define OVERLOAD_RREP(_1, _2, _3, _4, name, ...) name #define RREP1(n) for(ll i=(n)-1;i>=0;i--) #define RREP2(i, n) for(ll i=(n)-1;i>=0;i--) #define RREP3(i, a, n) for(ll i=(n)-1;i>=(a);i--) #define RREP4(i, a, b, n) for(ll i=(n)-1;i>=(a);i-=(b)) #define rrep(...) OVERLOAD_RREP(__VA_ARGS__, RREP4, RREP3, RREP2, RREP1)(__VA_ARGS__) #define uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define len(n) (long long)(n).size() using ll = long long; using ld = long double; using ull = unsigned long long; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vs = vector; using vvs = vector; using vvvs = vector; using vld = vector; using vvld = vector; using vvvld = vector; using vc = vector; using vvc = vector; using vvvc = vector; using pll = pair; using vpll = vector; using vvpll = vector; ll intpow(ll a,ll b){ ll ans = 1; while (b){ if (b & 1){ ans *= a; } a *= a; b /= 2; } return ans; } ll modpow(ll a,ll b,ll c){ ll ans = 1; while (b){ if (b & 1){ ans *= a; ans %= c; } a *= a; a %= c; b /= 2; } return ans; } template inline T floor(T a, T b) { T q = a / b; T r = a % b; if (r != 0 && ((r < 0) != (b < 0))) q--; return q; } template inline T ceil(T a, T b) { T q = a / b; T r = a % b; if (r != 0 && ((r < 0) == (b < 0))) q++; return q; } template inline T bmod(T a, T b) { T r = a % b; if (r < 0) r += std::abs(b); return r; } template vector>> group_by_first(vector> vec) { sort(vec.begin(), vec.end(), [](auto& a, auto& b) { if (a.first != b.first) return a.first < b.first; return a.second < b.second; }); vector>> res; for (auto& p : vec) { if (res.empty() || res.back().back().first != p.first) { res.push_back({}); } res.back().push_back(p); } return res; } template void input(T&... a){ (cin >> ... >> a); } #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; input(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__; input(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define CHA(...) char __VA_ARGS__; input(__VA_ARGS__) #define VLL(name,length) vll name(length);rep(i,length){cin >> name[i];} #define VVLL(name,h,w) vvll name(h,vll(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLL(name,a,b,c) vvvll name(a,vvll(b,vll(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VI(name,length) vi name(length);rep(i,length){cin >> name[i];} #define VVI(name,h,w) vvi name(h,vi(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVI(name,a,b,c) vvvi name(a,vvll(b,vi(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VLD(name,length) vld name(length);rep(i,length){cin >> name[i];} #define VVLD(name,h,w) vvld name(h,vld(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLD(name,a,b,c) vvvld name(a,vvld(b,vld(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VC(name,length) vc name(length);rep(i,length){cin >> name[i];} #define VVC(name,h,w) vvc name(h,vc(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVC(name,a,b,c) vvvc name(a,vvc(b,vc(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VS(name,length) vs name(length);rep(i,length){cin >> name[i];} #define VVS(name,h,w) vvs name(h,vs(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVS(name,a,b,c) vvvs name(a,vvs(b,vs(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define PLL(name) pll name;cin>>name.first>>name.second; #define VPLL(name,length) vpll name(length);rep(i,length){cin>>name[i].first>>name[i].second;} void print(){cout << "\n";} template std::ostream& operator<<(std::ostream& os, const std::pair& p) { os << "(" << p.first << ", " << p.second << ")"; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector& vec) { os << "["; for (size_t i = 0; i < vec.size(); ++i) { os << vec[i]; if (i + 1 < vec.size()) os << ", "; } os << "]"; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector>& a) { os << "["; for (size_t j = 0; j < a.size(); ++j) { os << "(" << a[j].first << ", " << a[j].second << ")"; if (j + 1 < a.size()) os << ", "; } os << "]"; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector>>& mat) { os << "["; for (size_t i = 0; i < mat.size(); ++i) { os << "["; for (size_t j = 0; j < mat[i].size(); ++j) { os << "(" << mat[i][j].first << ", " << mat[i][j].second << ")"; if (j + 1 < mat[i].size()) os << ", "; } os << "]"; if (i + 1 < mat.size()) os << ", "; } os << "]"; return os; } template std::ostream& operator<<(std::ostream& os, const std::set& s) { os << "{"; bool first = true; for (const auto& x : s) { if (!first) os << ", "; os << x; first = false; } os << "}"; return os; } template std::ostream& operator<<(std::ostream& os, const std::map& m) { os << "{"; bool first = true; for (const auto& [key, val] : m) { if (!first) os << ", "; os << key << ": " << val; first = false; } os << "}"; return os; } template void print(const T& a, const Ts&... b){cout << a;(cout << ... << (cout << ' ', b));cout << '\n';} #ifdef LOCAL void debug() { std::cerr << "\n"; } template void debug(const T& a, const Ts&... b) { std::cerr << a; (std::cerr << ... << (std::cerr << ' ', b)); std::cerr << '\n'; } void debug_space() {} template void debug_space(const T& a, const Ts&... b) { std::cerr << a; (std::cerr << ... << (std::cerr << ' ', b)); } #else #define debug(...) (void)0 #endif void write(){cout << "\n";} template void write(const T& a, const Ts&... b){cout << a;(cout << ... << (cout << ' ', b));cout << '\n';} void write(vll x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvll x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vi x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvi x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvi x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(vld x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvld x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvld x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(vc x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvc x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvc x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(vs x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvs x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvs x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(pll x){cout << x.first << ' ' << x.second << '\n';} void write(vpll x){rep(i,len(x)){cout << x[i].first << ' ' << x[i].second << '\n';}} void write(vvpll x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j].first << ' ' << x[i][j].second;if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} template T sum(const std::vector& v) { return std::accumulate(v.begin(), v.end(), T(0)); } template auto le(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.upper_bound(x); if (it == s.begin()) return ngval; return *prev(it); } template auto lt(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.lower_bound(x); if (it == s.begin()) return ngval; return *prev(it); } template auto ge(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.lower_bound(x); if (it == s.end()) return ngval; return *it; } template auto gt(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.upper_bound(x); if (it == s.end()) return ngval; return *it; } template bool chmin(T& a, const T& b){ if(a > b){ a = b; return 1; } return 0; } template bool chmax(T& a, const T& b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T& a, const U& b){ if(a > T(b)){ a = b; return 1; } return 0; } template bool chmax(T& a, const U& b){ if(a < T(b)){ a = b; return 1; } return 0; } #include using mint = atcoder::modint998244353; int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); LL(n,k); n %= 998244353; k %= 998244353; vector a = {1,373341033,45596018,834980587,623627864,428937595,442819817,499710224,833655840,83857087,295201906,788488293,671639287,849315549,597398273,813259672,732727656,244038325,122642896,310517972,160030060,483239722,683879839,712910418,384710263,433880730,844360005,513089677,101492974,959253371,957629942,678615452,34035221,56734233,524027922,31729117,102311167,330331487,8332991,832392662,545208507,594075875,318497156,859275605,300738984,767818091,864118508,878131539,316588744,812496962,213689172,584871249,980836133,54096741,417876813,363266670,335481797,730839588,393495668,435793297,760025067,811438469,720976283,650770098,586537547,117371703,566486504,749562308,708205284,932912293,939830261,983699513,206579820,301188781,593164676,770845925,247687458,41047791,266419267,937835947,506268060,6177705,936268003,166873118,443834893,328979964,470135404,954410105,117565665,832761782,39806322,478922755,394880724,821825588,468705875,512554988,232240472,876497899,356048018,895187265,808258749,575505950,68190615,939065335,552199946,694814243,385460530,529769387,640377761,916128300,440133909,362216114,826373774,502324157,457648395,385510728,904737188,78988746,454565719,623828097,686156489,713476044,63602402,570334625,681055904,222059821,477211096,343363294,833792655,461853093,741797144,74731896,930484262,268372735,941222802,677432735,474842829,700451655,400176109,697644778,390377694,790010794,360642718,505712943,946647976,339045014,715797300,251680896,70091750,40517433,12629586,850635539,110877109,571935891,695965747,634938288,69072133,155093216,749696762,963086402,544711799,724471925,334646013,574791029,722417626,377929821,743946412,988034679,405207112,18063742,104121967,638607426,607304611,751377777,35834555,313632531,18058363,656121134,40763559,562910912,495867250,48767038,210864657,659137294,715390025,865854329,324322857,388911184,286059202,636456178,421290700,832276048,726437551,526417714,252522639,386147469,674313019,274769381,226519400,272047186,117153405,712896591,486826649,119444874,338909703,18536028,41814114,245606459,140617938,250512392,57084755,157807456,261113192,40258068,194807105,325341339,884328111,896332013,880836012,737358206,202713771,785454372,399586250,485457499,640827004,546969497,749602473,159788463,159111724,218592929,675932866,314795475,811539323,246883213,696818315,759880589,4302336,353070689,477909706,559289160,79781699,878094972,840903973,367416824,973366814,848259019,462421750,667227759,897917455,81800722,956276337,942686845,420541799,417005912,272641764,941778993,217214373,192220616,267901132,50530621,652678397,354880856,164289049,781023184,105376215,315094878,607856504,733905911,457743498,992735713,35212756,231822660,276036750,734558079,424180850,433186147,308380947,18333316,12935086,351491725,655645460,535812389,521902115,67016984,48682076,64748124,489360447,361275315,786336279,805161272,468129309,645091350,887284732,913004502,358814684,281295633,328970139,395955130,164840186,820902807,761699708,246274415,592331769,913846362,866682684,600130702,903837674,529462989,90612675,526540127,533047427,110008879,674279751,801920753,645226926,676886948,752481486,474034007,457790341,166813684,287671032,188118664,244731384,404032157,269766986,423996017,182948540,356801634,737863144,652014069,206068022,504569410,919894484,593398649,963768176,882517476,702523597,949028249,128957299,171997372,50865043,20937461,690959202,581356488,369182214,993580422,193500140,540665426,365786018,743731625,144980423,979536721,773259009,617053935,247670131,843705280,30419459,985463402,261585206,237885042,111276893,488166208,137660292,720784236,244467770,26368504,792857103,666885724,670313309,905683034,259415897,512017253,826265493,111960112,633652060,918048438,516432938,386972415,996212724,610073831,444094191,72480267,665038087,11584804,301029012,723617861,113763819,778259899,937766095,535448641,593907889,783573565,673298635,599533244,655712590,173350007,868198597,169013813,585161712,697502214,573994984,285943986,675831407,3134056,965907646,401920943,665949756,236277883,612745912,813282113,892454686,901222267,624900982,927122298,686321335,84924870,927606072,506664166,353631992,165913238,566073550,816674343,864877926,171259407,908752311,874007723,803597299,613676466,880336545,282280109,128761001,58852065,474075900,434816091,364856903,149123648,388854780,314693916,423183826,419733481,888483202,238933227,336564048,757103493,100189123,855479832,51370348,403061033,496971759,831753030,251718753,272779384,683379259,488844621,881783783,659478190,445719559,740782647,546525906,985524427,548033568,333772553,331916427,752533273,730387628,93829695,655989476,930661318,334885743,466041862,428105027,888238707,232218076,769865249,730641039,616996159,231721356,326973501,426068899,722403656,742756734,663270261,364187931,350431704,671823672,633125919,226166717,386814657,237594135,451479365,546182474,119366536,465211069,605313606,728508871,249619035,663053607,900453742,48293872,229958401,62402409,69570431,71921532,960467929,537087913,514588945,5138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mint ans = 1; mint now = 1; auto f = [&](ll x){ ll i = x / 1000000; ll j = x % 1000000; mint res = a[i]; rep(k,i+1,x+1){ res *= k; } return res; }; ans *= f(n) * f(k).inv() * f(n-k).inv(); print(ans.val()); }