#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_CYAN = "\033[1;36m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include #include #include #include // UnionFind Tree (0-indexed), based on size of each disjoint set struct UnionFind { std::vector par, cou; UnionFind(int N = 0) : par(N), cou(N, 1) { iota(par.begin(), par.end(), 0); } int find(int x) { return (par[x] == x) ? x : (par[x] = find(par[x])); } bool unite(int x, int y) { x = find(x), y = find(y); if (x == y) return false; if (cou[x] < cou[y]) std::swap(x, y); par[y] = x, cou[x] += cou[y]; return true; } int count(int x) { return cou[find(x)]; } bool same(int x, int y) { return find(x) == find(y); } std::vector> groups() { std::vector> ret(par.size()); for (int i = 0; i < int(par.size()); ++i) ret[find(i)].push_back(i); ret.erase(std::remove_if(ret.begin(), ret.end(), [&](const std::vector &v) { return v.empty(); }), ret.end()); return ret; } }; // // [L, R] // lint RecSolve(lint L, lint R) { // assert(L <= R); // if (L == R) return 0; // lint ret = 0; // { // // lint a = L, b = R; // // if (a % 2) ++a; // // if (b % 2 == 0) --b; // // if (a <= b) ret += (b - a + 1) / 2; // ret += R - L; // } // { // lint a = L / 2, b = R / 2; // ret += RecSolve(a, b) * 2; // } // return ret; // } lint Solve(lint N, lint M) { if (N == 1) return 0; const lint L = M, R = M + N - 1; lint ret = 0; REP(d, 32) { lint il = L >> d, ir = R >> d; if (il == ir) break; if (il % 2 == 0 and ir == il + 1) { const lint tmp = ir << d; // lint w = max(1LL << d, (2LL << d) + 1 - N); const lint a = R - tmp, b = tmp - 1 - L; lint m = a | b; if (lint u = a & b; u) { const int d = floor_lg(u); m |= (1LL << d) - 1; } ret += (2LL << d) - 1 - m; // dbg(make_tuple(N, M, L, R, d, il, ir, ret)); } else { if (il % 2) ++il; if (ir % 2 == 0) --ir; ret += (1LL << d) * (ir + 1 - il) / 2; // dbg(make_tuple(N, M, L, R, d, ret)); } // if (il + 1 == ir) { // ret += (3LL << d) - N; // } else { // ret += (1LL << d) * (ir - il); // } } return ret; // return RecSolve(M, M + N - 1); } lint SolveQuad(int N, lint M) { vector> edges; REP(i, N) REP(j, i) { const lint w = (i + M) ^ (j + M); edges.emplace_back(w, i, j); } sort(ALL(edges)); UnionFind uf(N); lint ret = 0; for (auto [w, i, j] : edges) { if (uf.unite(i, j)) ret += w; } return ret; } void Expe2(lint M) { const int N = 20; vector mat(N, vector(N)); REP(i, N) REP(j, N) mat.at(i).at(j) = (i + M) ^ (j + M); dbg(make_tuple(N, M)); REP(i, N) dbg(mat.at(i)); } int main() { // Expe2(0); // Expe2(1); // Expe2(2); // Expe2(3); // FOR(M, 0, 50) dbg(make_tuple(M, Solve(2, M))); // FOR(n, 1, 50) REP(m, 50) { // const auto qua = SolveQuad(n, m); // const auto sol = Solve(n, m); // if (qua != sol) { // dbg(make_tuple(n, m, qua, sol)); // assert(false); // } // } int T; cin >> T; while (T--) { int N, M; cin >> N >> M; cout << Solve(N, M) << '\n'; } }