#line 1 "main.cpp" #pragma region Macros #include using namespace std; template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct Setup { Setup() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __Setup; using ll = long long; #define OVERLOAD3(_1, _2, _3, name, ...) name #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define REP1(i, n) for(int i = 0; i < int(n); i++) #define REP2(i, a, b) for(int i = (a); i < int(b); i++) #define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__) #define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()) #define SZ(v) ((int)(v).size()) const int INF = 1 << 30; const ll LLINF = 1LL << 60; constexpr int MOD = 1000000007; constexpr int MOD2 = 998244353; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; void Case(int i) { cout << "Case #" << i << ": "; } int popcount(int x) { return __builtin_popcount(x); } ll popcount(ll x) { return __builtin_popcountll(x); } #pragma endregion Macros #include using mint = atcoder::modint998244353; #line 1 "/Users/siro53/kyo-pro/compro_library/data_structure/compress.hpp" template struct Compress { vector v; Compress() {} Compress(vector vv) : v(vv) { sort(ALL(v)); v.erase(unique(ALL(v)), end(v)); } void build(vector vv) { v = vv; sort(ALL(v)); v.erase(unique(ALL(v)), end(v)); } int get(T x) { return (int)(lower_bound(ALL(v), x) - v.begin()); } T &operator[](int i) { return v[i]; } size_t size() { return v.size(); } }; #line 80 "main.cpp" int main() { int N, M; cin >> N >> M; vector> segs; // 半開区間 vector tmp; REP(k, 31) if(N >> k & 1) { segs.emplace_back(k, k + M); tmp.push_back(k); tmp.push_back(k + M); } Compress comp(tmp); int sz = SZ(comp); vector imos(sz, 0); for(auto [l, r] : segs) { l = comp.get(l); r = comp.get(r); imos[l]++; imos[r]--; } REP(i, sz-1) imos[i+1] += imos[i]; mint ans = 0; REP(i, sz-1) if(imos[i] & 1) { int l = comp[i], r = comp[i+1]; ans += mint(2).pow(r) - 1; ans -= mint(2).pow(l) - 1; } cout << ans.val() << endl; }