#ifndef LOCAL #define FAST_IO #endif #define INT128 // ============ #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER2(i, n) for (i32 i = (i32)(n)-1; i >= 0; --i) #define PER3(i, m, n) for (i32 i = (i32)(n)-1; i >= (i32)(m); --i) #define PER(...) OVERRIDE(__VA_ARGS__, PER3, PER2)(__VA_ARGS__) #define ALL(x) begin(x), end(x) #define LEN(x) (i32)(x.size()) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; using pi = pair; using pl = pair; template using V = vector; template using VV = V>; template using VVV = V>>; template using VVVV = V>>>; template using PQR = priority_queue, greater>; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template i32 lob(const V &arr, const T &v) { return (i32)(lower_bound(ALL(arr), v) - arr.begin()); } template i32 upb(const V &arr, const T &v) { return (i32)(upper_bound(ALL(arr), v) - arr.begin()); } template V argsort(const V &arr) { V ret(arr.size()); iota(ALL(ret), 0); sort(ALL(ret), [&](i32 i, i32 j) -> bool { if (arr[i] == arr[j]) { return i < j; } else { return arr[i] < arr[j]; } }); return ret; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; void scan(char &x) { cin >> x; } void scan(u32 &x) { cin >> x; } void scan(u64 &x) { cin >> x; } void scan(i32 &x) { cin >> x; } void scan(i64 &x) { cin >> x; } void scan(f64 &x) { cin >> x; } void scan(string &x) { cin >> x; } template void scan(V &x) { for (T &ele : x) { scan(ele); } } void read() {} template void read(Head &head, Tail &...tail) { scan(head); read(tail...); } #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__); #define U32(...) \ u32 __VA_ARGS__; \ read(__VA_ARGS__); #define U64(...) \ u64 __VA_ARGS__; \ read(__VA_ARGS__); #define I32(...) \ i32 __VA_ARGS__; \ read(__VA_ARGS__); #define I64(...) \ i64 __VA_ARGS__; \ read(__VA_ARGS__); #define F64(...) \ f64 __VA_ARGS__; \ read(__VA_ARGS__); #define STR(...) \ string __VA_ARGS__; \ read(__VA_ARGS__); #define VEC(type, name, size) \ V name(size); \ read(name); #define VVEC(type, name, size1, size2) \ VV name(size1, V(size2)); \ read(name); // ============ #ifdef DEBUGF #else #define DBG(...) (void)0 #endif // [0, 1, ..., 2^d], make k V slv(i32 d, i32 k) { i32 mask = (1 << d) - 1; i32 low = (k & mask) ^ mask; V p((1 << d) + 1); REP(i, 1 << d) { p[i] = i ^ low; } p[1 << d] = 1 << d; if (!((k >> d) & 1)) { swap(p[0], p[1 << d]); } return p; } V solve(i32 n, i32 k) { V ds; REP(d, 31) { if ((n >> d) & 1) { ds.push_back(d); } } i32 mx = (1 << ds.back()); if (LEN(ds) > 1) { mx <<= 1; } if (k >= mx) { return V(); } V cur; for (i32 d : ds) { i32 top = ((n >> d) - 1) << d; i32 mask = (1 << d) - 1; i32 low = ~k & mask; DBG(d, top, low); V p(1 << d); REP(i, 1 << d) { p[i] = top + (i ^ low); } for (i32 elem : cur) { p.push_back(elem); } if (!((k >> d) & 1)) { REP(i, LEN(cur)) { swap(p[i], p[(1 << d) + i]); } } cur.swap(p); DBG(cur); } return cur; } void ts(i32 n, i32 k) { V p = solve(n, k); if (p.empty()) { cout << "No\n"; return; } cout << "Yes\n"; REP(i, n) { cout << i << " \n"[i + 1 == n]; } REP(i, n) { cout << p[i] << " \n"[i + 1 == n]; } i32 t = 0; REP(i, n) { t |= i & p[i]; } DBG(n, k); assert(t == k); } void solve() { if (0) { REP(n, 1, 10) { REP(k, 10) { ts(n, k); } } } I32(n, k); ts(n, k); } int main() { i32 t = 1; // cin >> t; while (t--) { solve(); } }