;; -*- coding: utf-8 -*-
(eval-when (:compile-toplevel :load-toplevel :execute)
  (sb-int:defconstant-eqx OPT
    #+swank '(optimize (speed 3) (safety 2))
    #-swank '(optimize (speed 3) (safety 0) (debug 0))
    #'equal)
  #+swank (ql:quickload '(:cl-debug-print :fiveam) :silent t)
  #-swank (set-dispatch-macro-character
           ;; enclose the form with VALUES to avoid being captured by LOOP macro
           #\# #\> (lambda (s c p) (declare (ignore c p)) `(values ,(read s nil nil t)))))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)
#-swank (disable-debugger) ; for CS Academy

;; BEGIN_INSERTED_CONTENTS
(defmacro dbg (&rest forms)
  #+swank
  (if (= (length forms) 1)
      `(format *error-output* "~A => ~A~%" ',(car forms) ,(car forms))
      `(format *error-output* "~A => ~A~%" ',forms `(,,@forms)))
  #-swank (declare (ignore forms)))

(defmacro define-int-types (&rest bits)
  `(progn
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "UINT~A" b)) () '(unsigned-byte ,b))) bits)
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "INT~A" b)) () '(signed-byte ,b))) bits)))
(define-int-types 2 4 7 8 15 16 31 32 62 63 64)

(declaim (inline println))
(defun println (obj &optional (stream *standard-output*))
  (let ((*read-default-float-format* 'double-float))
    (prog1 (princ obj stream) (terpri stream))))

(defconstant +mod+ 1000000007)

;;;
;;; Body
;;;

(defun get-path (graph edge-table u v)
  (labels ((dfs (path)
             (when (= v (car path))
               (let ((bits 0))
                 (dbg path)
                 (loop for (a b) on path
                       until (null b)
                       for edge-index = (aref edge-table a b)
                       do (setf (ldb (byte 1 edge-index) bits) 1))
                 (return-from get-path bits)))
             (let ((parent (or (second path) -1)))
               (dolist (child (aref graph (car path)))
                 (unless (= child parent)
                   (dfs (cons child path)))))))
    (dfs (list u))))

(defun main ()
  (declare #.OPT)
  (let* ((n (read))
         (graph (make-array n :element-type 'list :initial-element nil))
         (edge-table (make-array (list n n) :element-type 'uint8)))
    (declare ((integer 1 50) n))
    (dotimes (i (- n 1))
      (let ((a (- (read) 1))
            (b (- (read) 1)))
        (push a (aref graph b))
        (push b (aref graph a))
        (setf (aref edge-table a b) i
              (aref edge-table b a) i)))
    #>edge-table
    (let* ((m (read))
           (paths (make-array m :element-type 'uint62)))
      (declare (uint8 m))
      (dotimes (path-index m)
        (let* ((u (- (read) 1))
               (v (- (read) 1))
               (path (get-path graph edge-table u v)))
          (declare (uint62 u v path))
          (assert (>= (logcount path) 1))
          (setf (aref paths path-index) path)))
      (let ((res 0))
        (declare (uint62 res))
        (labels ((dfs (constr-set pos edge-set)
                   (declare (uint62 constr-set edge-set)
                            ((integer 0 20) pos))
                   (if (= pos m)
                       (incf res (* (if (evenp (logcount constr-set)) 1 -1)
                                    (ash 1 (- n 1 (logcount edge-set)))))
                       (let ((new-path (aref paths pos)))
                         (dfs constr-set (+ pos 1) edge-set)
                         (dfs (dpb 1 (byte 1 pos) constr-set)
                              (+ pos 1)
                              (logior new-path edge-set))))))
          (dfs 0 0 0)
          (println res))))))

#-swank (main)

;;;
;;; Test and benchmark
;;;

#+swank
(defun io-equal (in-string out-string &key (function #'main) (test #'equal))
  "Passes IN-STRING to *STANDARD-INPUT*, executes FUNCTION, and returns true if
the string output to *STANDARD-OUTPUT* is equal to OUT-STRING."
  (labels ((ensure-last-lf (s)
             (if (eql (uiop:last-char s) #\Linefeed)
                 s
                 (uiop:strcat s uiop:+lf+))))
    (funcall test
             (ensure-last-lf out-string)
             (with-output-to-string (out)
               (let ((*standard-output* out))
                 (with-input-from-string (*standard-input* (ensure-last-lf in-string))
                   (funcall function)))))))

#+swank
(defun get-clipbrd ()
  (with-output-to-string (out)
    ;; (run-program "C:/Windows/System32/WindowsPowerShell/v1.0/powershell.exe" '("get-clipboard") :output out)
    (run-program "powershell.exe" '("-Command" "Get-Clipboard") :output out :search t)))

#+swank (defparameter *this-pathname* (uiop:current-lisp-file-pathname))
#+swank (defparameter *dat-pathname* (uiop:merge-pathnames* "test.dat" *this-pathname*))

#+swank
(defun run (&optional thing (out *standard-output*))
  "THING := null | string | symbol | pathname

null: run #'MAIN using the text on clipboard as input.
string: run #'MAIN using the string as input.
symbol: alias of FIVEAM:RUN!.
pathname: run #'MAIN using the text file as input."
  (let ((*standard-output* out))
    (etypecase thing
      (null
       (with-input-from-string (*standard-input* (delete #\Return (get-clipbrd)))
         (main)))
      (string
       (with-input-from-string (*standard-input* (delete #\Return thing))
         (main)))
      (symbol (5am:run! thing))
      (pathname
       (with-open-file (*standard-input* thing)
         (main))))))

#+swank
(defun gen-dat ()
  (uiop:with-output-file (out *dat-pathname* :if-exists :supersede)
    (format out "")))

#+swank
(defun bench (&optional (out (make-broadcast-stream)))
  (time (run *dat-pathname* out)))

;; To run: (5am:run! :sample)
#+swank
(it.bese.fiveam:test :sample
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "3
1 2
2 3
1
1 3
"
    "3
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "2
1 2
1
1 2
"
    "1
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "5
1 2
3 2
3 4
5 3
3
1 3
2 4
2 5
"
    "9
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "8
1 2
2 3
4 3
2 5
6 3
6 7
8 6
5
2 7
3 5
1 6
2 8
7 8
"
    "62
")))


Measured memory_bytes: 22116