#include <bits/stdc++.h>
using namespace std;
template <typename T>
istream& operator>>(istream& is, vector<T>& a) {
  for (T& ai : a) is >> ai;
  return is;
}
template <typename T>
ostream& operator<<(ostream& os, vector<T> const& a) {
  os << "[ ";
  for (const T& ai : a) os << ai << " ";
  return os << "]";
}
template <typename T1, typename T2>
istream& operator>>(istream& is, pair<T1, T2>& a) {
  return is >> a.first >> a.second;
}
template <typename T1, typename T2>
ostream& operator<<(ostream& os, pair<T1, T2> const& a) {
  return os << "(" << a.first << ", " << a.second << ")";
}
void f() {
  int n, d;
  cin >> n >> d;
  if (d > n * (n - 1) / 2) {
    cout << "NO\n";
    return;
  }
  vector<int> c;
  int x = n;
  for (int i = 0; x; ++i) {
    c.push_back(min(x, 1 << i));
    d -= i * c.back();
    x -= c.back();
  }
  if (d < 0) {
    cout << "NO\n";
    return;
  }
  int t = 0;
  while (d) {
    if (!t) {
      t = c.size() - 1;
      if (c.back())
        c.push_back(0);
      else
        --t;
      continue;
    }
    int k = min((2 * c[t] - c[t + 1]) / 3, d);
    d -= k;
    c[t + 1] += k;
    c[t--] -= k;
  }
  cout << "YES\n";
  int r = 1;
  for (int i = 1, h = c.size(); i < h; ++i) {
    for (int j = 0; j < c[i]; ++j) {
      cout << r + (j >> 1) << " ";
    }
    r += c[i - 1];
  }
  cout << "\n";
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int t;
  cin >> t;
  while (t--) f();
  return 0;
}
