#include #include using namespace std; //#define DISABLE_PRINT #if defined(ENABLE_PRINT) && !defined(DISABLE_PRINT) #define P(...) fprintf(stderr, __VA_ARGS__) #define P2(fmt) fprintf(stderr, fmt) #define LP fprintf(stderr, "L: %d\n", __LINE__) #else #define P(...) ((void)0) #define P2(fmt) ((void)0) #define LP ((void)0) #endif #define rep(i, n) for(int i = 0; i < (int)(n); ++i) #define ALL(x) x.begin(),x.end() using ll = long long; using ull = unsigned long long; using mint = atcoder::modint998244353; int main(int, const char**) { ull N, M; cin >> N >> M; if(N == 0) { cout << 0 << endl; return 0; } auto f = [&](ull x) { vector ds; while(x != 0) { ds.push_back(x % 2); x /= 2; } return ds; }; auto ds = f(N); if(M <= ds.size()) { assert(M <= 32); ull ans = 0; auto x = N; rep(i, M) { ans ^= x; x <<= 1; } cout << mint(ans).val() << endl; return 0; } auto len = (int)ds.size(); mint ans = 0; mint base = 1; int v = 0; rep(i, len - 1) { v ^= ds[i]; ans += base * v; base *= 2; P("%d", v); } P("\n"); auto mlen = M - len + 1; v ^= ds.back(); if(v == 1) { auto tb = mint(2).pow(mlen) - 1; tb *= base; ans += tb; P("tb: %d\n", tb); } P("ans: %ld\n", ans.val()); vector tops; v = 0; rep(i, len - 1) { v ^= ds[len - 1 - i]; P("%d, \n", v); tops.push_back(v); } P("\n"); base = mint(2).pow(mlen + len - 1); P("base: %d\n", base.val()); rep(i, len - 1) { auto tv = tops[len - 2 - i]; P("tv: %d\n", tv); ans += base * tv; base *= 2; } cout << ans.val() << endl; vector av; auto x = ans.val(); while(x != 0) { av.push_back(x % 2); x /= 2; } for(auto a : av) { P("%d", a); } P("\n"); return 0; }