package main import ( "bufio" "fmt" "os" "sort" "strconv" ) var sc = bufio.NewScanner(os.Stdin) var out = bufio.NewWriter(os.Stdout) func divide(x int) []int { m := make(map[int]struct{}) for i := 1; i*i <= x; i++ { if x%i == 0 { m[i] = struct{}{} m[x/i] = struct{}{} } } var res []int for k := range m { res = append(res, k) } sort.Ints(res) return res } func solveHonestly(t int, n, m []int) (ans []int) { const p = int(1e9) + 7 nm := Pow(n[0], m[0], p) var s int for i := 1; i <= nm; i++ { d := divide(i) if len(d)%2 == 0 { idx := len(d)/2 - 1 mid := d[idx] + d[idx+1] if mid*mid > i*4 { s += i } else { fmt.Println(len(d), i) } } else { mid := d[(len(d)+1)/2-1] if mid*mid > i { s += i } else { fmt.Println(len(d), i) } } } ans = append(ans, s) return ans } func solve(t int, n, m []int) (ans []int) { const p = int(1e9) + 7 inv2 := Inv(2, p) inv6 := Inv(6, p) for i := 0; i < t; i++ { nm := Pow(n[i], m[i], p) v := nm * (nm + 1) % p v = v * inv2 % p nm2 := Pow(n[i], m[i]/2, p) mi := nm2 * (nm2 + 1) % p mi = mi * (2*nm2 + 1) % p mi = mi * inv6 % p v = (v - mi + p) % p ans = append(ans, v) } return ans } func main() { buf := make([]byte, 1024*1024) sc.Buffer(buf, bufio.MaxScanTokenSize) sc.Split(bufio.ScanWords) t := nextInt() var n, m []int for i := 0; i < t; i++ { n = append(n, nextInt()) m = append(m, nextInt()) } ans := solve(t, n, m) //ans := solveHonestly(t, n, m) PrintVertically(ans) } func nextInt() int { sc.Scan() i, _ := strconv.Atoi(sc.Text()) return i } func PrintInt(x int) { defer out.Flush() fmt.Fprintln(out, x) } func PrintVertically(x []int) { defer out.Flush() for _, v := range x { fmt.Fprintln(out, v) } } func Pow(x, y, p int) int { ret := 1 for y > 0 { if y%2 == 1 { ret = ret * x % p } y >>= 1 x = x * x % p } return ret } func Inv(x, p int) int { return Pow(x, p-2, p) }