;; -*- 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 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*))
  "NOTE: cannot read -2^62"
  (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))))))))

(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
           (inline sort))
  (let* ((n (read))
         (m (read))
         (ds (make-array n :element-type 'uint31))
         ;; d(u) <= d(v) for (u v . idx)
         (edges (make-array m :element-type 'list))
         (graph (make-array n :element-type 'list :initial-element nil))
         (cols (make-array n :element-type 'int32 :initial-element -1))
         (weights (make-array m :element-type 'int32 :initial-element -1)))
    (dotimes (i n)
      (setf (aref ds i) (read-fixnum)))
    (dotimes (i m)
      (let ((u (- (read-fixnum) 1))
            (v (- (read-fixnum) 1)))
        (when (> (aref ds u) (aref ds v))
          (rotatef u v))
        (setf (aref edges i) (list u v i))
        (push u (aref graph v))
        (push v (aref graph u))))
    (setq edges
          (sort edges
                (lambda (e1 e2)
                  (let ((max-d1 (aref ds (second e1)))
                        (max-d2 (aref ds (second e2))))
                    (or (< max-d1 max-d2)
                        (and (= max-d1 max-d2)
                             (< (the uint31 (third e1))
                                (the uint31 (third e2)))))))))
    #>graph
    (unless (loop
              for v below n
              always (loop
                       for neighbor in (aref graph v)
                       thereis (>= (aref ds v) (aref ds neighbor))))
      (println -1)
      (return-from main))
    (dotimes (i m)
      ;; d(u) <= d(v)
      (destructuring-bind (u v idx) (aref edges i)
        (cond ((= -1 (aref cols u) (aref cols v))
               (assert (= (aref ds u) (aref ds v)))
               (setf (aref cols u) 0
                     (aref cols v) 1)
               (setf (aref weights idx) (aref ds v)))
              ((= -1 (aref cols u))
               (setf (aref cols u) (logxor 1 (aref cols v)))
               (setf (aref weights idx) (aref ds v)))
              ((= -1 (aref cols v))
               (setf (aref cols v) (logxor 1 (aref cols u)))
               (setf (aref weights idx) (aref ds v)))
              (t
               (setf (aref weights idx) #.(expt 10 9))))))
    (with-buffered-stdout
      (sb-int:dovector (col cols (terpri))
        (write-char (if (zerop col) #\W #\B)))
      (dotimes (i m)
        (println (aref weights i))))))

#-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 "5 5
3 4 3 5 7
1 2
1 3
3 2
4 2
4 5
"
    "BWWBB
4
3
1
5
2
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "5 7
1 2 3 4 5
1 2
1 3
1 4
2 3
2 5
3 5
4 5
"
    "-1
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "4 6
1 1 1 1
1 2
1 3
1 4
2 3
2 4
3 4
"
    "BBBW
1
1
1
2
1
1
")))


Measured memory_bytes: 74472