#include using namespace std; using ll = long long; using pll = pair; const ll mod = 998244353; int n; using ULL = unsigned long long; struct BarrettReduction { ULL MOD; __int128 m; BarrettReduction(ULL MOD_): MOD(MOD_) { m = (__int128(1)<<64) / MOD; } ULL reduce(ULL x) const { ULL q = (x*m)>>64; x -= q * MOD; return x < MOD? x: x-MOD; } }; ll extgcd(ll a, ll b) { ll x0 = 1, x1 = 0, y0 = 0, y1 = 1; while (b != 0) { ll q = a / b; ll r = a % b; ll x2 = x0 - q * x1; ll y2 = y0 - q * y1; a = b; b = r; x0 = x1; x1 = x2; y0 = y1; y1 = y2; } return x0; } ULL crt(ll r1, ll m1, ll r2, ll dpq1, BarrettReduction br2, BarrettReduction br3) { ULL temp = br2.reduce((r2 - r1) * dpq1); return br3.reduce(r1 + m1 * temp); } ll pw(ll a, ll b) { ll x = 1; while (b > 0) { if ((b & 1) == 1) { x = x * a; } a = a * a; b >>= 1; } return x; } int main() { cin.tie(0)->sync_with_stdio(false); cin >> n; ll m; cin >> m; m += 2; if (n == 15) { ll ans = 0; if (2567836929097728 > m) ans += 1594323; if (12839184645488640 > m) ans += 1594323; if (15407021574586368 > m) ans += 1594323; cout << ans << endl; return 0; } if (n == 14) { ll ans = 0; if (1283918464548864 > m) ans += 1594323; cout << ans << endl; return 0; } if (n == 13) { ll ans = 0; if (17832200896512 > m) ans += 177147; if (89161004482560 > m) ans += 177147; if (106993205379072 > m) ans += 177147; cout << ans << endl; return 0; } ll p3 = pw(3, n); ll p4 = pw(4, n); ll p6 = pw(6, n); ll p12 = p3 * p4; BarrettReduction br4(p4); BarrettReduction br6(p6); BarrettReduction br12(p12); ll dpq1 = extgcd(p3, p4); unordered_map> mp; for (ll v3 = 0; v3 < p3; v3 += 3) { ll v4 = 0; ll v6 = 0; ll tmp = v3; ll pc4 = 4; ll pc6 = 6; for (int i = 1; i < n; i++) { tmp /= 3; v4 += tmp % 3 * pc4; v6 += tmp % 3 * pc6; pc4 *= 4; pc6 *= 6; } ULL v12 = crt(v3, p3, v4, dpq1, br4, br12); ULL diff = br6.reduce(v12 - v6 + p6); mp[diff].push_back(v12); } ll ans = 0; // map freq; for (auto &[k, vv]: mp) { sort(vv.begin(), vv.end()); ULL last = vv[vv.size() - 1]; for (ULL v : vv) { if (v + p12 > last + m) { ans++; } // freq[v + p12 - last]++; last = v + p12; } } // for (const auto &item: freq) { // cout << item.first << ", " << item.second << endl; // } cout << ans << endl; }