#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } // とりあえずまずは最上位ビットを無視し、0 になるものを再帰的に作る vector dfs(ll N, ll bit){ vector Q(N); if (bit == -1){ return Q; } if (N < (1 << bit)){ Q = dfs(N, bit - 1); } else{ vector latter = dfs(N - (1 << bit), bit - 1); for (ll i = 0; i < (1 << bit); i++){ Q[i] = (1 << bit) - 1 - i; if (Q[i] + (1 << bit) < N){ Q[i] += (1 << bit); } } for (ll i = (1 << bit); i < N; i++){ Q[i] = latter[i - (1 << bit)]; } } return Q; } int main() { ll N, K; cin >> N >> K; if (N == 1){ if (K == 1){ cout << "No" << endl; } else{ cout << "Yes" << endl; cout << 0 << endl; cout << 0 << endl; } return 0; } ll msb_n = -1; ll msb_k = -1; for (ll i = 0; i < 18; i++){ if (((N - 1) >> i) & 1) msb_n = max(msb_n, i); if ((K >> i) & 1) msb_k = max(msb_k, i); } if (msb_n < msb_k){ cout << "No" << endl; return 0; } cout << "Yes" << endl; vector P(N); rep(i, N) P[i] = i; // 実質再帰的にやって、まずは 0 から作る vector Q = dfs(N, msb_n); if (K >= (1 << msb_n)){ for (ll i = 0; i < N; i++){ if (Q[i] >= (1 << msb_n)) Q[i] -= (1 << msb_n); else if (Q[i] + (1 << msb_n) < N) Q[i] += (1 << msb_n); } } ll rem = K % (1 << msb_n); if (rem == (1 << msb_n) - 1){ swap(Q[0], Q[(1 << msb_n) - 1]); } else if (rem != 0){ swap(Q[0], Q[rem]); swap(Q[(1 << msb_n) - 1], Q[(1 << msb_n) - 1 - rem]); } rep(i, N){ cout << P[i]; if (i < N - 1) cout << " "; } cout << endl; rep(i, N){ cout << Q[i]; if (i < N - 1) cout << " "; } cout << endl; }