#include <bits/stdc++.h>
using namespace std;
int num[5005], h;
int main() {
  int t;
  cin >> t;
  while (t--) {
    h = 0;
    memset(num, 0, sizeof num);
    int n, d;
    cin >> n >> d;
    int dmin = 0, dmax = 0;
    int tmp = n;
    while (tmp) {
      h++;
      if (tmp >= (1 << (h - 1))) {
        tmp -= (1 << (h - 1));
        dmin += (1 << (h - 1)) * (h - 1);
        num[h] = (1 << (h - 1));
      } else {
        dmin += tmp * (h - 1);
        num[h] = tmp;
        tmp = 0;
      }
    }
    for (int i = 1; i <= n; i++) dmax += i - 1;
    if (d < dmin || d > dmax) {
      puts("NO");
      continue;
    }
    d -= dmin;
    while (d) {
      d--;
      for (int i = h + 1; i >= 2; i--) {
        if (num[i] + 1 <= 2 * (num[i - 1] - 1)) {
          num[i]++;
          num[i - 1]--;
          if (i == h + 1) h = i;
          break;
        }
      }
    }
    puts("YES");
    int now = 1;
    for (int i = 2; i <= h; i++) {
      for (int j = 1; j <= num[i]; j++) cout << now + (j + 1) / 2 - 1 << " ";
      now += num[i - 1];
    }
    puts("");
  }
}
