#include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i=x;i--) #define fore(i,a) for(auto& i:a) #define rng(x) (x).begin(), (x).end() #define rrng(x) (x).rbegin(), (x).rend() #define sz(x) ((int)(x).size()) #define pb push_back #define fi first #define se second #define pcnt __builtin_popcountll using namespace std; using namespace atcoder; using ll = long long; using ld = long double; template using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return true;} else {cout << "No" << endl; return false;}} #define retval(x) {cout << #x << endl; return;} #define cout2(x,y) cout << x << " " << y << endl; #define coutp(p) cout << p.fi << " " << p.se << endl; #define out cout << ans << endl; #define outd cout << fixed << setprecision(20) << ans << endl; #define outm cout << ans.val() << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define outdv fore(yans , ans) cout << yans.val() << "\n"; #define coutv(v) {fore(vy , v) {cout << vy << " ";} cout << endl;} #define coutv2(v) fore(vy , v) cout << vy << "\n"; #define coutvm(v) {fore(vy , v) {cout << vy.val() << " ";} cout << endl;} #define coutvm2(v) fore(vy , v) cout << vy.val() << "\n"; using pll = pair;using pil = pair;using pli = pair;using pii = pair;using pdd = pair; using vi = vector;using vd = vector;using vl = vector;using vs = vector;using vb = vector; using vpii = vector;using vpli = vector;using vpll = vector;using vpil = vector; using vvi = vector>;using vvl = vector>;using vvs = vector>;using vvb = vector>; using vvpii = vector>;using vvpli = vector>;using vvpll = vector;using vvpil = vector; using mint = modint998244353; //using mint = modint1000000007; //using mint = dynamic_modint<0>; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} #define yes {cout <<"Yes"< fact, ifact; combination(int n):fact(n+1),ifact(n+1) { fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } } com(10000005); namespace math{ vvi div,mul; void div_init(int n){ div.resize(n+1); mul.resize(n+1); for(int i = 1;i <= n;i++){ for(int j = i;j <= n;j+=i){ div[j].pb(i); mul[i].pb(j); } } return; } vl divisor(ll x){ vl res; for(ll i=1;i*i<=x;i++){ if (x%i != 0) continue; res.pb(i); if (i*i != x) res.pb(x/i); } sort(rng(res)); return res; } ll floorsqrt(ll x) { ll l = 0, r = ll(2e9)+1; while (l+1= LLONG_MAX/a) break; tmp *= a; ret++; } ret--; return ret; } ll pow(ll x , int a){ assert(x > 0); assert(a >= 0); ll ret = 1; rep(_,a){ assert (ret < LLONG_MAX/x); ret *= x; } return ret; } ll base(ll x,int a){ ll ans=0,y; for (ll i=0;x>0;i++){ y = x/a; ans += (x - y*a)*pow(10,i); x = y; } return ans; } string baseS(ll x,int a){ string ans; ll y; for (ll i=0;x>0;i++){ y = x/a; ans += '0' + (x - y*a); x = y; } reverse(rng(ans)); return ans; } template ll inv(vector& v){ int n = sz(v); map mp; fore(y,v) mp[y] = 0; int m = 0; fore(y,mp) y.se = m++; fenwick_tree fw(m); ll ret = 0; rep(i,n){ int k = mp[v[i]]; ret += fw.sum(k+1,m); fw.add(k,1); } return ret; } } // namespace math // .div.mul : div[i]、mul[i]はそれぞれiの約数、倍数を格納している。 // .div_init(n) : div,mulを初期化。引数はnまで。n < 3e5程 // .divisor(x) : xの約数列挙。xは64bit整数。 // .floorsqrt(x) : floor(sqrt(x))。xは64bit整数。誤差は発生しない。 // .floorlog(a , x) : floor(loga(x))。xは64bit整数。誤差は発生しない。 // .pow(x , a) : x^a。誤差は発生しない。 // .base(x , a) : x(10進数)をa進数表記に。1 <= a <= 10。戻り値はll型。 // .baseS(x , a) : x(10進数)をa進数表記に。1 <= a <= 10。戻り値はstring型。 // .inv(v) : vの転倒数。 void solve(){ ll n,m; cin>>n>>m; auto f = [&](ll x,ll y)->mint{ if (x%2 != y%2) return 0; ll a = (x+y)/2; ll b = (x-y)/2; if (b<0) return 0; ll c = n-a-b; if (c<0 || c%2==1) return 0; c /= 2; ll d = (n-c); mint tmp = com(n,c) * com(n,d-a); if (a!=0) tmp *= 2; if (b!=0) tmp *= 2; return tmp; }; if (m < 0) m *= -1; mint ans = 0; if (m>0){ vl d = math::divisor(m); fore(y , d){ ll x = m/y; ans += f(x,y); } }else{ rep(i,n+1){ mint tmp = f(i,0); // cout << tmp.val() << endl; ans += tmp; } // outm; } ans /= mint(4).pow(n); outm; return; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int t = 1; //cin>>t; rep(i,t){ solve(); } return 0; }