;; -*- 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 #\# #\> (lambda (s c p) (declare (ignore c p)) (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 ;; from alexandria (defun copy-array (array &key (element-type (array-element-type array)) (fill-pointer (and (array-has-fill-pointer-p array) (fill-pointer array))) (adjustable (adjustable-array-p array))) "Returns an undisplaced copy of ARRAY, with same fill-pointer and adjustability (if any) as the original, unless overridden by the keyword arguments." (let* ((dimensions (array-dimensions array)) (new-array (make-array dimensions :element-type element-type :adjustable adjustable :fill-pointer fill-pointer))) (dotimes (i (array-total-size array)) (setf (row-major-aref new-array i) (row-major-aref array i))) new-array)) (declaim (inline read-line-into)) (defun read-line-into (buffer-string &key (in *standard-input*) (term-char #\Space)) "Receives ASCII inputs and returns multiple values: the string and the end position. This function calls READ-BYTE to read characters though it calls READ-CHAR instead on SLIME because SLIME's IO is not bivalent." (declare (inline read-byte)) ; declaring (sb-kernel:ansi-stream in) will be faster (loop for c of-type base-char = #-swank (code-char (read-byte in nil #.(char-code #\Newline))) #+swank (read-char in nil #\Newline) for idx from 0 until (char= c #\Newline) do (setf (char buffer-string idx) c) finally (when (< idx (length buffer-string)) (setf (char buffer-string idx) term-char)) (return (values buffer-string idx)))) (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 ;;; ;;; ;;; Arithmetic operations with static modulus ;;; (defmacro define-mod-operations (&optional (divisor 1000000007)) `(progn (defun mod* (&rest args) (reduce (lambda (x y) (mod (* x y) ,divisor)) args)) (sb-c:define-source-transform mod* (&rest args) (if (null args) 1 (reduce (lambda (x y) `(mod (* ,x ,y) ,',divisor)) args))) (defun mod+ (&rest args) (reduce (lambda (x y) (mod (+ x y) ,divisor)) args)) (sb-c:define-source-transform mod+ (&rest args) (if (null args) 0 (reduce (lambda (x y) `(mod (+ ,x ,y) ,',divisor)) args))) (define-modify-macro incfmod (delta divisor) (lambda (x y divisor) (mod (+ x y) divisor))) (define-modify-macro decfmod (delta divisor) (lambda (x y divisor) (mod (- x y) divisor))) (define-modify-macro mulfmod (multiplier divisor) (lambda (x y divisor) (mod (* x y) divisor))))) (define-mod-operations) (defun matrix-transpose (matrix) (declare ((array * (* *)) matrix)) (destructuring-bind (h w) (array-dimensions matrix) (declare ((integer 0 #.most-positive-fixnum) h w)) (let ((res (make-array (list w h) :element-type (array-element-type matrix)))) (dotimes (i h) (dotimes (j w) (setf (aref res j i) (aref matrix i j)))) res))) (defun fit-01-p (col mat) (loop for i below (array-dimension mat 0) for c = (aref mat i col) always (or (char= #\? c) (if (evenp i) (char= c #\0) (char= c #\1))))) (defun fit-10-p (col mat) (loop for i below (array-dimension mat 0) for c = (aref mat i col) always (or (char= #\? c) (if (evenp i) (char= c #\1) (char= c #\0))))) (defun solve (h w plan) (declare (uint31 h w)) (let ((dp (copy-array plan)) (res 0)) (declare (uint31 res) ((simple-array base-char (* *)) dp)) ;; count non-flipping (block non-flipping (dotimes (i h) (dotimes (j w) (let ((pivot (aref dp i j))) (unless (char= pivot #\?) (loop for k from (+ j 1) below w for c = (if (char= #\0 (aref dp i (- k 1))) #\1 #\0) do (when (or (and (char= c #\0) (char= (aref dp i k) #\1)) (and (char= c #\1) (char= (aref dp i k) #\0))) (return-from non-flipping)) (setf (aref dp i k) c)) (loop for k from (- j 1) downto 0 for c = (if (char= #\0 (aref dp i (+ k 1))) #\1 #\0) do (when (or (and (char= c #\0) (char= (aref dp i k) #\1)) (and (char= c #\1) (char= (aref dp i k) #\0))) (return-from non-flipping)) (setf (aref dp i k) c)))))) (let ((freedom (loop for i below h count (char= #\? (aref dp i 0))))) (incfmod res (mod (expt 2 freedom) +mod+) +mod+) (when (fit-10-p 0 dp) (decfmod res 1 +mod+)) (when (fit-01-p 0 dp) (decfmod res 1 +mod+)))) ;; count flipping (let ((tmp 1)) (declare (uint31 tmp)) (dotimes (i w) (mulfmod tmp (+ (if (fit-10-p i plan) 1 0) (if (fit-01-p i plan) 1 0)) +mod+)) (incfmod res tmp +mod+)) res)) (defun main () (let* ((h (read)) (w (read)) (plan (make-array (list h w) :element-type 'base-char :initial-element #\?)) (line (make-string w :element-type 'base-char))) (dotimes (i h) (read-line-into line) (dotimes (j w) (setf (aref plan i j) (aref line j)))) ;; (dbg (solve h w plan1) ;; (solve w h plan2)) (println (max (solve h w plan) (solve w h (matrix-transpose plan)))))) #-swank (main)