import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int[] solve(const(int) N, const(long) K) { int[] ans; if (K < N - 1) { // } else if (K <= 1L * N * (N - 1) / 2) { int l = 1, r = N - 1, bef = 0; ans ~= 0; long k = K - (N - 1); foreach_reverse (j; 1 .. N) { if (k >= j - 1) { k -= (j - 1); ans ~= bef = (abs(bef - l) == j) ? l++ : r--; } else { ans ~= bef = (abs(bef - l) == 1) ? l++ : r--; } } } else { long s; foreach (i; 0 .. N - N / 2) s -= 2 * i; foreach (i; N - N / 2 .. N) s += 2 * i; if (N % 2 == 0) { long mx = s; mx += (N / 2 - 1); mx -= (N / 2); if (K <= mx) { const head = (N / 2 - 1) - (mx - K); assert(0 <= head); assert(head < N / 2); ans = new int[N]; foreach (i; 0 .. N - N / 2) ans[2 * i] = i; foreach (i; N - N / 2 .. N) ans[N - 1 - 2 * (i - (N - N / 2))] = i; swap(ans[0], ans[cast(int)(2 * head)]); } } else { long mx = s; mx += (N - N / 2 - 2); mx += (N - N / 2 - 1); if (K <= mx) { const head = (N - N / 2 - 2) - (mx - K); assert(0 <= head); assert(head <= N - N / 2 - 2); ans = new int[N]; foreach (i; 0 .. N - N / 2) ans[2 * i] = i; foreach (i; N - N / 2 .. N) ans[2 * (i - (N - N / 2)) + 1] = i; swap(ans[0], ans[cast(int)(2 * head)]); } } } if (ans) { long s; foreach (i; 0 .. N - 1) { s += abs(ans[i] - ans[i + 1]); } assert(s == K, format("%s %s: %s %s", N, K, ans, s)); } return ans; } void main() { debug { foreach (n; 2 .. 10 + 1) { auto perm = iota(n).array; auto pss = new int[][n^^2]; do { int s; foreach (i; 0 .. n - 1) { s += abs(perm[i] - perm[i + 1]); } if (!pss[s]) { pss[s] ~= perm.dup; } } while (perm.nextPermutation); foreach (s; 0 .. n^^2) { if (pss[s] && s >= n * (n - 1) / 2) { writeln(n, " ", s, ": ", pss[s]); } } } } debug { foreach (n; 2 .. 10 + 1) { if (n % 2 == 0) { int s; foreach (i; 0 .. n - n / 2) s -= 2 * i; foreach (i; n - n / 2 .. n) s += 2 * i; int mn = s; mn += 0; mn -= (n - 1); int mx = s; mx += (n / 2 - 1); mx -= (n / 2); writeln(n, ": ", mn, " ", mx, "; ", n * (n - 1) / 2); } else { int s; foreach (i; 0 .. n - n / 2) s -= 2 * i; foreach (i; n - n / 2 .. n) s += 2 * i; int mn = s; mn += 0; mn += 1; int mx = s; mx += (n - n / 2 - 2); mx += (n - n / 2 - 1); writeln(n, ": ", mn, " ", mx, "; ", n * (n - 1) / 2); } } } debug { foreach (n; 2 .. 10 + 1) { int[] ks; foreach (k; 0 .. n^^2) { const res = solve(n, k); if (res) { ks ~= k; } } writeln(n, ": ", ks); } } try { for (; ; ) { const N = readInt(); const K = readLong(); const ans = solve(N, K); if (ans) { foreach (i; 0 .. N) { if (i > 0) write(" "); write(ans[i] + 1); } writeln; } else { writeln(-1); } } } catch (EOFException e) { } }