#-swank
(unless (member :child-sbcl *features*)
  (quit
   :unix-status
   (process-exit-code
    (run-program *runtime-pathname*
                 `("--control-stack-size" "128MB"
                   "--noinform" "--disable-ldb" "--lose-on-corruption" "--end-runtime-options"
                   "--eval" "(push :child-sbcl *features*)"
                   "--script" ,(namestring *load-pathname*))
                 :output t :error t :input t))))
(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
           #\# #\> (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
;;;
;;; Arithmetic operations with dynamic modulus
;;;

(declaim ((unsigned-byte 32) *modulus*))
(defvar *modulus*)

(defun mod* (&rest args)
  (reduce (lambda (x y) (mod (* x y) *modulus*)) args))

(defun mod+ (&rest args)
  (reduce (lambda (x y) (mod (+ x y) *modulus*)) args))

#+sbcl
(eval-when (:compile-toplevel :load-toplevel :execute)
  (locally (declare (muffle-conditions warning))
    (sb-c:define-source-transform mod* (&rest args)
      (if (null args)
          1
          (reduce (lambda (x y) `(mod (* ,x ,y) *modulus*)) args)))
    (sb-c:define-source-transform mod+ (&rest args)
      (if (null args)
          0
          (reduce (lambda (x y) `(mod (+ ,x ,y) *modulus*)) args)))))

(define-modify-macro incfmod (delta &optional (divisor '*modulus*))
  (lambda (x y divisor) (mod (+ x y) divisor)))

(define-modify-macro decfmod (delta &optional (divisor '*modulus*))
  (lambda (x y divisor) (mod (- x y) divisor)))

(define-modify-macro mulfmod (delta &optional (divisor '*modulus*))
  (lambda (x y divisor) (mod (* x y) divisor)))

(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
  "NOTE: cannot read -2^62"
  (macrolet ((%read-byte ()
               `(the (unsigned-byte 8)
                     #+swank (char-code (read-char in nil #\Nul))
                     #-swank (sb-impl::ansi-stream-read-byte in nil #.(char-code #\Nul) nil))))
    (let* ((minus nil)
           (result (loop (let ((byte (%read-byte)))
                           (cond ((<= 48 byte 57)
                                  (return (- byte 48)))
                                 ((zerop byte) ; #\Nul
                                  (error "Read EOF or #\Nul."))
                                 ((= byte #.(char-code #\-))
                                  (setq minus t)))))))
      (declare ((integer 0 #.most-positive-fixnum) result))
      (loop
        (let* ((byte (%read-byte)))
          (if (<= 48 byte 57)
              (setq result (+ (- byte 48)
                              (* 10 (the (integer 0 #.(floor most-positive-fixnum 10))
                                         result))))
              (return (if minus (- result) result))))))))

(in-package :cl-user)

(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 main ()
  (let* ((n (read))
         (m (read))
         (graph (make-array n :element-type 'list :initial-element nil))
         (dp (make-array n :element-type 'uint31 :initial-element 0))
         (res (make-array n :element-type 'uint31 :initial-element 0))
         (*modulus* m))
    (declare (uint31 n m))
    (dotimes (i (- n 1))
      (let ((x (- (read-fixnum) 1))
            (y (- (read-fixnum) 1)))
        (push x (aref graph y))
        (push y (aref graph x))))
    (sb-int:named-let dfs ((v 0) (parent -1))
      (let ((value 1))
        (declare (uint31 value))
        (dolist (child (aref graph v))
          (unless (= child parent)
            (dfs child v)
            (mulfmod value (+ 1 (aref dp child)))))
        (setf (aref dp v) value)))
    #>dp
    (sb-int:named-let dfs ((v 0) (parent -1))
      (setf (aref res v) (aref dp v))
      (let* ((old-value (aref dp v))
             (children (aref graph v))
             (len (length children))
             (cumuls1 (make-array (+ len 1) :element-type 'uint31 :initial-element 1))
             (cumuls2 (make-array (+ len 1) :element-type 'uint31 :initial-element 1)))
        (loop for i below len
              for child in children
              do (mulfmod (aref cumuls1 (+ i 1))
                          (mod* (+ 1 (aref dp child)) (aref cumuls1 i))))
        (loop for i from (- len 1) downto 0
              for child in (reverse children)
              do (mulfmod (aref cumuls2 i)
                          (mod* (+ 1 (aref dp child)) (aref cumuls2 (+ i 1)))))
        (loop for i below len
              for child in children
              for new-value = (mod* (aref cumuls1 i) (aref cumuls2 (+ i 1)))
              for old-child-value = (aref dp child)
              for new-child-value = (mod* (+ 1 new-value) old-child-value)
              unless (= child parent)
              do (setf (aref dp v) new-value
                       (aref dp child) new-child-value)
                 (dfs child v)
                 (setf (aref dp v) old-value
                       (aref dp child) old-child-value))))
    (write-string
     (with-output-to-string (*standard-output* nil :element-type 'base-char)
       (map () #'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 "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 "3 100
1 2
2 3
"
    "3
4
3
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "4 100
1 2
1 3
1 4
"
    "8
5
5
5
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "1 100
"
    "1
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "10 2
8 5
10 8
6 5
1 5
4 8
2 10
3 6
9 2
1 7
"
    "0
0
1
1
1
0
1
0
1
1
")))


Measured memory_bytes: 52804