#ifndef HIDDEN_IN_VS // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; using ull = unsigned long long; // -2^63 ~ 2^63 = 9e18(int は -2^31 ~ 2^31 = 2e9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = acos(-1); int DX[4] = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) int DY[4] = { 0, 1, 0, -1 }; int INF = 1001001001; ll INFL = 4004004003094073385LL; // (int)INFL = INF, (int)(-INFL) = -INF; // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), (x))) #define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), (x))) #define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索(昇順) #define repis(i, set) for(int i = lsb(set), bset##i = set; i < 32; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 #define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了 #define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定 // 汎用関数の定義 template inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) template inline int getb(T set, int i) { return (set >> i) & T(1); } template inline T smod(T n, T m) { n %= m; if (n < 0) n += m; return n; } // 非負mod // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline vector& operator--(vector& v) { repea(x, v) --x; return v; } template inline vector& operator++(vector& v) { repea(x, v) ++x; return v; } #endif // 折りたたみ用 #if __has_include() #include using namespace atcoder; #ifdef _MSC_VER #include "localACL.hpp" #endif using mint = modint998244353; //using mint = static_modint<(int)1e9+7>; //using mint = modint; // mint::set_mod(m); using vm = vector; using vvm = vector; using vvvm = vector; using vvvvm = vector; using pim = pair; #endif #ifdef _MSC_VER // 手元環境(Visual Studio) #include "local.hpp" #else // 提出用(gcc) int mute_dump = 0; int frac_print = 0; #if __has_include() namespace atcoder { inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; } } #endif inline int popcount(int n) { return __builtin_popcount(n); } inline int popcount(ll n) { return __builtin_popcountll(n); } inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : 32; } inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : 64; } inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; } inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; } #define dump(...) #define dumpel(v) #define dump_math(v) #define input_from_file(f) #define output_to_file(f) #define Assert(b) { if (!(b)) { vc MLE(1<<30); rep(i,9)cout<= MOD) return 0; ll q = n / WIDTH; mint res = FACT[q]; repi(i, q * WIDTH + 1, n) res *= i; return res; } mint fac_inv(ll n) { Assert(n < MOD); ll q = (MOD - 1 - n) / WIDTH; mint res = FACT_INV[q]; repi(i, q * WIDTH + 1, MOD - 1 - n) res *= MOD - i; return res; } */ } vi FACT = { 1,295201906,160030060,957629942,545208507,213689172,760025067,939830261,506268060,39806322,808258749,440133909,686156489,741797144,390377694,12629586,544711799,104121967,495867250,421290700,117153405,57084755,202713771,675932866,79781699,956276337,652678397,35212756,655645460,468129309,761699708,533047427,287671032,206068022,50865043,144980423,111276893,259415897,444094191,593907889,573994984,892454686,566073550,128761001,888483202,251718753,548033568,428105027,742756734,546182474,62402409,102052166,826426395,159186619,926316039,176055335,51568171,414163604,604947226,681666415,511621808,924112080,265769800,955559118,763148293,472709375,19536133,860830935,290471030,851685235,242726978,169855231,612759169,599797734,961628039,953297493,62806842,37844313,909741023,689361523,887890124,380694152,669317759,367270918,806951470,843736533,377403437,945260111,786127243,80918046,875880304,364983542,623250998,598764068,804930040,24257676,214821357,791011898,954947696,183092975 }; vi FACT_INV = { 998244352,703042447,838214293,40614411,453035846,784555181,238219286,58414092,491976293,958438031,189985604,558110444,312087864,256447209,607866659,985614767,453532554,894122386,502377103,576953653,881090948,941159598,795530582,322311487,918462654,41968016,345565956,963031597,342598893,530115044,236544645,465196926,710573321,792176331,947379310,853263930,886967460,738828456,554150162,404336464,424249369,105789667,432170803,869483352,109761151,746525600,450210785,570139326,255487619,452061879,935841944,896192187,171817958,839057734,71928314,822189018,946676182,584080749,393297127,316577938,486622545,74132273,732474553,42685235,235096060,525534978,978708220,137413418,707773323,146559118,755517375,828389122,385485184,398446619,36616314,44946860,935437511,960400040,88503330,308882830,110354229,617550201,328926594,630973435,191292883,154507820,620840916,52984242,212117110,917326307,122364049,633260811,374993355,399480285,193314313,973986677,783422996,207232455,43296657,815151378 }; mint fac(ll n) { if (n >= MOD) return 0; ll q = n / WIDTH; mint res = FACT[q]; repi(i, q * WIDTH + 1, n) res *= i; return res; } mint fac_inv(ll n) { Assert(n < MOD); ll q = (MOD - 1 - n) / WIDTH; mint res = FACT_INV[q]; repi(i, q * WIDTH + 1, MOD - 1 - n) res *= MOD - i; return res; } //【桁の数の取得(桁数固定)】O(log n) /* * n を len 桁で b 進表記したときの桁の数字を上位桁から順に並べたリストを返す. * * 制約:b ≧ 2 */ vi integer_digits(ll n, int len, int b = 10) { // verify : https://yukicoder.me/problems/no/327 Assert(abs(b) >= 2); // mod |b| を取れば最下位桁から順に決定していく. vi ds(len); rep(i, len) { int d = (int)(n % b); //int d = (int)smod(n, abs(b)); // 負数の可能性があるならこっち ds[len - 1 - i] = d; n = (n - d) / b; } return ds; } int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); // embed_factorial(); ll n, k; cin >> n >> k; auto ns = integer_digits(n, 2, 998244353); auto ks = integer_digits(k, 2, 998244353); mint res = 1; rep(i, 2) res *= fac(ns[i]) * fac_inv(ns[i] - ks[i]) * fac_inv(ks[i]); EXIT(res); }