#pragma GCC optimize("O3") //#pragma GCC target("avx2") //#pragma GCC optimize("unroll-loops") #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vld; typedef vector vb; typedef pair Pll; typedef pair Pin; ll INF = 1e16; int inf = 1e9; #define ALL(x) (x).begin(), (x).end() #define FOR(i, m, n) for (ll i = (m); i < (n); ++i) #define REVFOR(i, m, n) for (ll i = ((n) - 1); i >= (m); --i) #define REP(i, n) FOR(i, 0, n) #define REVREP(i, n) REVFOR(i, 0, n) #define fi first #define se second #define pb push_back #define mp make_pair #define eb emplace_back #define bcnt __builtin_popcountll // inputs #define VLLIN(x, n) vll x(n); REP(i, n) cin >> x[i]; #define VIIN(x, n) vi x(n); REP(i, n) cin >> x[i]; #define VLDIN(x, n) vld x(n); REP(i, n) cin >> x[i]; #define SIN(s, n) string s; cin >> s; #ifdef LOCAL #include #define debug(...) cerr << "[" << #__VA_ARGS__ << "]: ", d_err(__VA_ARGS__); #else #define debug(...) 83; #endif void d_err() { cerr << endl; } template void d_err(H h, T... t) { cerr << h << " "; d_err(t...); } template void print(T x) { cout << x << "\n"; } template void print(vector& x) { int N = x.size(); REP(i, N) { if (i > 0) cout << " "; cout << x[i]; } cout << "\n"; } int main(){ cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); int n, k; cin >> n >> k; vll cost(n, 0); REP(i, n) { int a = i + 1; REP(j, n) { int b = j + 1; int c = ~bcnt(a * b) & 1; cost[i] += c * 2; } } ll all = accumulate(ALL(cost), 0LL) / 2; if (all < k) { print(-1); return 0; } int MX = all - k; vector dp(MX + 1); REP(i, n) { REVREP(j, MX + 1) { if (dp[j].empty()) continue; ll c = cost[i] + j; if (c > MX) continue; if (dp[c].size()) continue; dp[c] = dp[j]; dp[c].eb(i + 1); } ll c = cost[i]; if (c <= MX && dp[c].empty()) dp[c].eb(i + 1); } auto &y = dp[all - k]; if (y.empty()) { print(-1); } else { int q = y.size(); int p = n - q; vll x; REP(i, n) { int a = i + 1; bool f = true; for(auto &e: y) { if (e == a) { f = false; break; } } if (f) x.eb(a); } vll first = {p, q}; print(first); print(x); print(y); } }