package main

import (
	"bufio"
	"fmt"
	"os"
)

func main() {
	reader := bufio.NewReader(os.Stdin)
	writer := bufio.NewWriter(os.Stdout)
	defer writer.Flush()

	var t int
	fmt.Fscan(reader, &t)

	for i := 0; i < t; i++ {
		var n, d int
		fmt.Fscan(reader, &n, &d)

		minD := 0
		rem := n - 1
		for h := 1; rem > 0; h++ {
			c := 1 << h
			if c > rem {
				c = rem
			}
			minD += c * h
			rem -= c
		}

		maxD := n * (n - 1) / 2

		if d < minD || d > maxD {
			fmt.Fprintln(writer, "NO")
			continue
		}

		cnt := make([]int, n)
		for j := 0; j < n; j++ {
			cnt[j] = 1
		}

		S := maxD
		L := n - 1
		target := 1

		for S > d {
			for target < L && cnt[target] >= 2*cnt[target-1] {
				target++
			}

			if S-d >= L-target {
				S -= L - target
				cnt[L]--
				cnt[target]++
				for L > 0 && cnt[L] == 0 {
					L--
				}
			} else {
				movTo := L - (S - d)
				S = d
				cnt[L]--
				cnt[movTo]++
			}
		}

		fmt.Fprintln(writer, "YES")
		parent := make([]int, n+1)
		nodes := make([][]int, n)
		nodes[0] = []int{1}
		id := 2
		for h := 1; h < n; h++ {
			for j := 0; j < cnt[h]; j++ {
				p := nodes[h-1][j/2]
				parent[id] = p
				nodes[h] = append(nodes[h], id)
				id++
			}
		}

		for j := 2; j <= n; j++ {
			if j > 2 {
				fmt.Fprint(writer, " ")
			}
			fmt.Fprint(writer, parent[j])
		}
		fmt.Fprintln(writer)
	}
}