;; -*- 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))
  #-swank (set-dispatch-macro-character #\# #\> (lambda (s c p) (declare (ignore c p)) (read s nil (values) t))))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)
#-swank (disable-debugger) ; for CS Academy

;; BEGIN_INSERTED_CONTENTS
;; Should we do this with UNWIND-PROTECT?
(defmacro with-buffered-stdout (&body body)
  "Buffers all outputs to *STANDARD-OUTPUT* in BODY and flushes them to
*STANDARD-OUTPUT* after BODY has been done (without error). Note that only
BASE-CHAR is allowed."
  (let ((out (gensym)))
    `(let ((,out (make-string-output-stream :element-type 'base-char)))
       (let ((*standard-output* ,out))
         ,@body)
       (write-string (get-output-stream-string ,out)))))

(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
  (declare #.OPT)
  (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 #\-))
                                  (setf 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))))))))

;;;
;;; Disjoint set by Union-Find algorithm
;;;

(deftype disjoint-set () '(simple-array (signed-byte 32) (*)))
(declaim (inline make-disjoint-set))
(defun make-disjoint-set (size)
  (make-array size :element-type '(signed-byte 32) :initial-element -1))

(declaim (ftype (function * (values (unsigned-byte 31) &optional)) ds-root))
(defun ds-root (x disjoint-set)
  "Returns the root of X."
  (declare #.OPT
           ((mod #.array-total-size-limit) x)
           (disjoint-set disjoint-set))
  (if (< (aref disjoint-set x) 0)
      x
      (setf (aref disjoint-set x)
            (ds-root (aref disjoint-set x) disjoint-set))))

(declaim (inline ds-unite!))
(defun ds-unite! (x1 x2 disjoint-set)
  "Destructively unites X1 and X2 and returns true iff X1 and X2 become
connected for the first time."
  (let ((root1 (ds-root x1 disjoint-set))
        (root2 (ds-root x2 disjoint-set)))
    (unless (= root1 root2)
      ;; ensure the size of root1 >= the size of root2
      (when (> (aref disjoint-set root1) (aref disjoint-set root2))
        (rotatef root1 root2))
      (incf (aref disjoint-set root1) (aref disjoint-set root2))
      (setf (aref disjoint-set root2) root1))))

(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 ()
  (declare #.OPT)
  (let* ((n (read))
         (k (read))
         (l (read))
         (road-network (make-disjoint-set n))
         (rail-network (make-disjoint-set n))
         (table (make-hash-table :test #'eq :size n))
         (cities (make-array n :element-type 'uint62)))
    (declare (uint32 n k l))
    (dotimes (_ k)
      (let ((p (- (read-fixnum) 1))
            (q (- (read-fixnum) 1)))
        (ds-unite! p q road-network)))
    (dotimes (_ l)
      (let ((r (- (read-fixnum) 1))
            (s (- (read-fixnum) 1)))
        (ds-unite! r s rail-network)))
    (dotimes (i n)
      (let* ((root1 (ds-root i road-network))
             (root2 (ds-root i rail-network))
             (pair (dpb root2 (byte 31 31) root1)))
        (if (gethash pair table)
            (incf (the uint32 (gethash pair table)))
            (setf (gethash pair table) 1))
        (setf (aref cities i) pair)))
    (with-buffered-stdout
      (dotimes (i n)
        (unless (zerop i) (write-char #\ ))
        (write (gethash (aref cities i) table)))
      (terpri))))

#-swank (main)


Measured memory_bytes: 27620