#include #include // cout, endl, cin #include // string, to_string, stoi #include // vector #include // min, max, swap, sort, reverse, lower_bound, upper_bound #include // pair, make_pair #include // tuple, make_tuple #include // int64_t, int*_t #include // printf #include // map #include // queue, priority_queue #include // set #include // stack #include // deque #include // unordered_map #include // unordered_set #include // bitset #include // isupper, islower, isdigit, toupper, tolower #include #include #include #include #include using namespace std; using namespace atcoder; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repi(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) //#define endl '\n' #define all(x) (x).begin(),(x).end() #define arr(x) (x).rbegin(),(x).rend() typedef long long ll; typedef unsigned long long ull; const ll inf=1e18; //const int inf=1e7; using graph = vector > ; using P= pair; using vi=vector; using vvi=vector; using vll=vector; using vvll=vector; using vp=vector

; using vvp=vector; using vd=vector; using vvd =vector; //string T="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; //string S="abcdefghijklmnopqrstuvwxyz"; //g++ main.cpp -std=c++17 -I . //cout < bool chmin(T& a, T b) { if (a > b) { a = b; return true; } else return false; } template bool chmax(T& a, T b) { if (a < b) { a = b; return true; } else return false; } struct edge{ int to; ll cost;ll canv; edge(int to,ll cost,ll canv) : to(to),cost(cost),canv(canv){} }; using ve=vector; using vve=vector; using mint = modint998244353; using vm=vector; using vvm=vector; const int mod = 998244353; //int mod = 1e9+7; constexpr ll MAX = 3000100; ll fact[MAX],finv[MAX],inv[MAX]; void initcomb(){ fact[0]=fact[1]=1; finv[0]=finv[1]=1; inv[1]=1; for(int i=2;i par, siz; UnionFind(int n) : par(n, -1) , siz(n, 1) { } int root(int x) { if (par[x] == -1) return x; else return par[x] = root(par[x]); } bool issame(int x, int y) { return root(x) == root(y); } bool unite(int x, int y) { x = root(x), y = root(y); if (x == y) return false; if (siz[x] < siz[y]) swap(x, y); par[y] = x; siz[x] += siz[y]; return true; } int size(int x) { return siz[root(x)]; } }; vll anss; void solve(int test){ initcomb(); int n; ll m; cin >> n >> m; vll vs; for(ll i=1; i*i<=abs(m); i++)if(m%i==0){ vs.push_back(i); vs.push_back(-i); vs.push_back(m/i); vs.push_back(-(m/i)); } sort(all(vs)); vs.erase(unique(all(vs)),vs.end()); mint ans=0; ll inv4=(mint(1)/4).val(); for(auto v:vs){ mint now=1; ll x=v,y=m/v; { ll i=n+x; ll j=n-x; if(i<0 || j<0)continue; if(i%2 || j%2)continue; i/=2; j/=2; now*=comb(n,i); } { ll i=n+y; ll j=n-y; if(i<0 || j<0)continue; if(i%2 || j%2)continue; i/=2; j/=2; now*=comb(n,i); } ans+=now; } ans*=pow_pow(inv4,n,mod); cout << ans.val() << endl; } //g++ main.cpp -std=c++17 -I . int main(){cin.tie(0);ios::sync_with_stdio(false); int t=1;//cin >>t; rep(test,t)solve(test); for(auto ans:anss)cout << ans << endl; }