package main

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

func main() {
	in := bufio.NewReaderSize(os.Stdin, 1<<20)
	var t int
	fmt.Fscan(in, &t)

	var out strings.Builder
	for ; t > 0; t-- {
		var n int
		fmt.Fscan(in, &n)
		if n%2 == 0 {
			out.WriteString("No\n")
			continue
		}
		out.WriteString("Yes\n")
		h := (n - 1) / 2
		for i := 0; i < n; i++ {
			j := (i + h) % n
			fmt.Fprintf(&out, "%d %d\n", i+1, n+j+1)
		}
	}

	fmt.Print(out.String())
}