// author: hotman78 // date: 2024/04/21-15:16:34 // --- begin raw code ----------------- // #include"cpplib/util/template.hpp" // // #include"cpplib/graph_tree/dijkstra.hpp" // #include // // string to_str(lint x,const lint& b){ // string s; // while(x){ // s+=char('0'+x%b); // x/=b; // } // return s; // } // // lint to_int(string s,const lint& b){ // lint x=0; // rrep(i,s.size()){ // x=x*b+int(s[i]-'0'); // } // return x; // }; // // lint cast(lint x,const int& b,const int& c){ // lint res=0,tmp=1; // while(x){ // res+=x%b*tmp; // tmp*=c; // x/=b; // } // return res; // }; // // void solve(){ // lint n,m; // cin>>n>>m; // // const lint m1=powll(3,n); // const lint m2=powll(4,n); // const lint m3=powll(6,n); // lint ans=0; // vector>val; // const lint tmp1=powll(3,8); // const lint tmp2=powll(4,8); // const lint tmp3=powll(6,8); // arraycast1; // arraycast2; // rep(i,tmp1){ // cast1[i]=cast(i,3,4); // cast2[i]=cast(i,3,6); // } // val.reserve(m1/3); // rep(i,m1){ // // cerr<fst; // const lint m4=powll(12,n); // auto add=[&](lint now,lint key){ // string str3=to_str(((now-m)%m1+m1)%m1,3); // string str4=to_str(((now-m)%m2+m2)%m2,4); // string str6=to_str(((now-key-m)%m3+m3)%m3,6); // ans+=(str3!=str4)||(str4!=str6)||(str6!=str3); // }; // rep(i,val.size()){ // if(i==0||val[i].first!=val[i-1].first){ // if(i!=0){ // if(fst.second+m4-val[i-1].second>m){ // add(fst.second,fst.first); // } // } // fst=val[i]; // }else{ // if(val[i].second-val[i-1].second>m){ // add(val[i].second,val[i].first); // } // } // } // if(fst.second+m4-val.back().second>m){ // add(fst.second,fst.first); // } // cout<>t;while(t--)solve(); // } // --- end raw code ----------------- #line 2 "cpplib/util/template.hpp" #ifdef LOCAL #define _GLIBCXX_DEBUG #endif #include #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx2") using namespace std; #line 1 "cpplib/util/ioutil.hpp" // template // std::ostream& output(std::ostream& out,const Head& head,const Args&... args){ // out>>head; // return output(head,args...); // } // template // std::ostream& output(std::ostream& out,const Head& head){ // out>>head; // return out; // } template std::ostream &operator<<(std::ostream &out, std::pair v) { out << "(" << v.first << "," << v.second << ")"; return out; } // template // ostream& operator<<(ostream& out,std::tuplev){ // std::apply(output,v); // return out; // } #line 11 "cpplib/util/template.hpp" struct __INIT__ { __INIT__() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __INIT__; typedef long long lint; constexpr long long INF = 1LL << 60; constexpr int IINF = 1 << 30; constexpr double EPS = 1e-10; #ifndef REACTIVE #define endl '\n'; #endif typedef vector vec; typedef vector> mat; typedef vector>> mat3; typedef vector svec; typedef vector> smat; template using V = vector; template using VV = V>; #define output(t) \ { \ bool f = 0; \ for (auto val : (t)) { \ cout << (f ? " " : "") << val; \ f = 1; \ } \ cout << endl; \ } #define output2(t) \ { \ for (auto i : t) \ output(i); \ } #define debug(t) \ { \ bool f = 0; \ for (auto i : t) { \ cerr << (f ? " " : "") << i; \ f = 1; \ } \ cerr << endl; \ } #define debug2(t) \ { \ for (auto i : t) \ debug(i); \ } #define loop(n) for (long long _ = 0; _ < (long long)(n); ++_) #define _overload4(_1, _2, _3, _4, name, ...) name #define __rep(i, a) repi(i, 0, a, 1) #define _rep(i, a, b) repi(i, a, b, 1) #define repi(i, a, b, c) \ for (long long i = (long long)(a); i < (long long)(b); i += c) #define rep(...) _overload4(__VA_ARGS__, repi, _rep, __rep)(__VA_ARGS__) #define _overload3_rev(_1, _2, _3, name, ...) name #define _rep_rev(i, a) repi_rev(i, 0, a) #define repi_rev(i, a, b) \ for (long long i = (long long)(b)-1; i >= (long long)(a); --i) #define rrep(...) _overload3_rev(__VA_ARGS__, repi_rev, _rep_rev)(__VA_ARGS__) #define all(n) begin(n), end(n) template bool chmin(T &s, const E &t) { bool res = s > t; s = min(s, t); return res; } template bool chmax(T &s, const E &t) { bool res = s < t; s = max(s, t); return res; } const vector dx = {1, 0, -1, 0, 1, 1, -1, -1}; const vector dy = {0, 1, 0, -1, 1, -1, 1, -1}; #define SUM(v) accumulate(all(v), 0LL) #if __cplusplus >= 201703L template auto make_vector(T x, int arg, Args... args) { if constexpr (sizeof...(args) == 0) return vector(arg, x); else return vector(arg, make_vector(x, args...)); } #endif #define bit(n, a) ((n >> a) & 1) #define extrep(v, ...) for (auto v : make_mat_impl({__VA_ARGS__})) vector> make_mat_impl(vector v) { if (v.empty()) return vector>(1, vector()); long long n = v.back(); v.pop_back(); vector> ret; vector> tmp = make_mat_impl(v); for (auto e : tmp) for (long long i = 0; i < n; ++i) { ret.push_back(e); ret.back().push_back(i); } return ret; } using graph = vector>; template using graph_w = vector>>; #if __cplusplus >= 201703L constexpr inline long long powll(long long a, long long b) { long long res = 1; while (b--) res *= a; return res; } #endif template pair &operator+=(pair &s, const pair &t) { s.first += t.first; s.second += t.second; return s; } template pair &operator-=(pair &s, const pair &t) { s.first -= t.first; s.second -= t.second; return s; } template pair operator+(const pair &s, const pair &t) { auto res = s; return res += t; } template pair operator-(const pair &s, const pair &t) { auto res = s; return res -= t; } #define BEGIN_STACK_EXTEND(size) \ void *stack_extend_memory_ = malloc(size); \ void *stack_extend_origin_memory_; \ char *stack_extend_dummy_memory_ = (char *)alloca( \ (1 + (int)(((long long)stack_extend_memory_) & 127)) * 16); \ *stack_extend_dummy_memory_ = 0; \ asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp" \ : "=b"(stack_extend_origin_memory_) \ : "a"((char *)stack_extend_memory_ + (size)-1024)); #define END_STACK_EXTEND \ asm volatile("mov %%rax, %%rsp" ::"a"(stack_extend_origin_memory_)); \ free(stack_extend_memory_); int floor_pow(int n) { return n ? 31 - __builtin_clz(n) : 0; } #line 2 "main.cpp" // #include"cpplib/graph_tree/dijkstra.hpp" #include #include #include #include #include #ifdef _MSC_VER #include #endif namespace atcoder { namespace internal { constexpr long long safe_mod(long long x, long long m) { x %= m; if (x < 0) x += m; return x; } struct barrett { unsigned int _m; unsigned long long im; explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {} unsigned int umod() const { return _m; } unsigned int mul(unsigned int a, unsigned int b) const { unsigned long long z = a; z *= b; #ifdef _MSC_VER unsigned long long x; _umul128(z, im, &x); #else unsigned long long x = (unsigned long long)(((unsigned __int128)(z)*im) >> 64); #endif unsigned int v = (unsigned int)(z - x * _m); if (_m <= v) v += _m; return v; } }; constexpr long long pow_mod_constexpr(long long x, long long n, int m) { if (m == 1) return 0; unsigned int _m = (unsigned int)(m); unsigned long long r = 1; unsigned long long y = safe_mod(x, m); while (n) { if (n & 1) r = (r * y) % _m; y = (y * y) % _m; n >>= 1; } return r; } constexpr bool is_prime_constexpr(int n) { if (n <= 1) return false; if (n == 2 || n == 7 || n == 61) return true; if (n % 2 == 0) return false; long long d = n - 1; while (d % 2 == 0) d /= 2; constexpr long long bases[3] = {2, 7, 61}; for (long long a : bases) { long long t = d; long long y = pow_mod_constexpr(a, t, n); while (t != n - 1 && y != 1 && y != n - 1) { y = y * y % n; t <<= 1; } if (y != n - 1 && t % 2 == 0) { return false; } } return true; } template constexpr bool is_prime = is_prime_constexpr(n); constexpr std::pair inv_gcd(long long a, long long b) { a = safe_mod(a, b); if (a == 0) return {b, 0}; long long s = b, t = a; long long m0 = 0, m1 = 1; while (t) { long long u = s / t; s -= t * u; m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b auto tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp; } if (m0 < 0) m0 += b / s; return {s, m0}; } constexpr int primitive_root_constexpr(int m) { if (m == 2) return 1; if (m == 167772161) return 3; if (m == 469762049) return 3; if (m == 754974721) return 11; if (m == 998244353) return 3; int divs[20] = {}; divs[0] = 2; int cnt = 1; int x = (m - 1) / 2; while (x % 2 == 0) x /= 2; for (int i = 3; (long long)(i)*i <= x; i += 2) { if (x % i == 0) { divs[cnt++] = i; while (x % i == 0) { x /= i; } } } if (x > 1) { divs[cnt++] = x; } for (int g = 2;; g++) { bool ok = true; for (int i = 0; i < cnt; i++) { if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) { ok = false; break; } } if (ok) return g; } } template constexpr int primitive_root = primitive_root_constexpr(m); unsigned long long floor_sum_unsigned(unsigned long long n, unsigned long long m, unsigned long long a, unsigned long long b) { unsigned long long ans = 0; while (true) { if (a >= m) { ans += n * (n - 1) / 2 * (a / m); a %= m; } if (b >= m) { ans += n * (b / m); b %= m; } unsigned long long y_max = a * n + b; if (y_max < m) break; n = (unsigned long long)(y_max / m); b = (unsigned long long)(y_max % m); std::swap(m, a); } return ans; } } // namespace internal } // namespace atcoder namespace atcoder { long long pow_mod(long long x, long long n, int m) { assert(0 <= n && 1 <= m); if (m == 1) return 0; internal::barrett bt((unsigned int)(m)); unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m)); while (n) { if (n & 1) r = bt.mul(r, y); y = bt.mul(y, y); n >>= 1; } return r; } long long inv_mod(long long x, long long m) { assert(1 <= m); auto z = internal::inv_gcd(x, m); assert(z.first == 1); return z.second; } std::pair crt(const std::vector &r, const std::vector &m) { assert(r.size() == m.size()); int n = int(r.size()); long long r0 = 0, m0 = 1; for (int i = 0; i < n; i++) { assert(1 <= m[i]); long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i]; if (m0 < m1) { std::swap(r0, r1); std::swap(m0, m1); } if (m0 % m1 == 0) { if (r0 % m1 != r1) return {0, 0}; continue; } long long g, im; std::tie(g, im) = internal::inv_gcd(m0, m1); long long u1 = (m1 / g); if ((r1 - r0) % g) return {0, 0}; long long x = (r1 - r0) / g % u1 * im % u1; r0 += x * m0; m0 *= u1; // -> lcm(m0, m1) if (r0 < 0) r0 += m0; } return {r0, m0}; } long long floor_sum(long long n, long long m, long long a, long long b) { assert(0 <= n && n < (1LL << 32)); assert(1 <= m && m < (1LL << 32)); unsigned long long ans = 0; if (a < 0) { unsigned long long a2 = internal::safe_mod(a, m); ans -= 1ULL * n * (n - 1) / 2 * ((a2 - a) / m); a = a2; } if (b < 0) { unsigned long long b2 = internal::safe_mod(b, m); ans -= 1ULL * n * ((b2 - b) / m); b = b2; } return ans + internal::floor_sum_unsigned(n, m, a, b); } } // namespace atcoder string to_str(lint x, const lint &b) { string s; while (x) { s += char('0' + x % b); x /= b; } return s; } lint to_int(string s, const lint &b) { lint x = 0; rrep(i, s.size()) { x = x * b + int(s[i] - '0'); } return x; }; lint cast(lint x, const int &b, const int &c) { lint res = 0, tmp = 1; while (x) { res += x % b * tmp; tmp *= c; x /= b; } return res; }; void solve() { lint n, m; cin >> n >> m; const lint m1 = powll(3, n); const lint m2 = powll(4, n); const lint m3 = powll(6, n); lint ans = 0; vector> val; const lint tmp1 = powll(3, 8); const lint tmp2 = powll(4, 8); const lint tmp3 = powll(6, 8); array cast1; array cast2; rep(i, tmp1) { cast1[i] = cast(i, 3, 4); cast2[i] = cast(i, 3, 6); } val.reserve(m1 / 3); rep(i, m1) { // cerr< fst; const lint m4 = powll(12, n); auto add = [&](lint now, lint key) { string str3 = to_str(((now - m) % m1 + m1) % m1, 3); string str4 = to_str(((now - m) % m2 + m2) % m2, 4); string str6 = to_str(((now - key - m) % m3 + m3) % m3, 6); ans += (str3 != str4) || (str4 != str6) || (str6 != str3); }; rep(i, val.size()) { if (i == 0 || val[i].first != val[i - 1].first) { if (i != 0) { if (fst.second + m4 - val[i - 1].second > m) { add(fst.second, fst.first); } } fst = val[i]; } else { if (val[i].second - val[i - 1].second > m) { add(val[i].second, val[i].first); } } } if (fst.second + m4 - val.back().second > m) { add(fst.second, fst.first); } cout << ans << endl; } int main() { solve(); // lint t;cin>>t;while(t--)solve(); }