(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
;; from alexandria
(declaim (inline copy-array))
(defun copy-array (array &key (element-type (array-element-type array)))
 (let* ((dimensions (array-dimensions array))
        (new-array (make-array dimensions :element-type element-type)))
   (dotimes (i (array-total-size array))
     (setf (row-major-aref new-array i)
           (row-major-aref array i)))
   new-array))

(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* ((h (read))
         (w (read))
         (k (read))
         (cs (make-array (list h w) :element-type 'bit :initial-element 0))
         (res 0))
    (dotimes (i h)
      (let ((line (read-line)))
        (dotimes (j w)
          (when (char= #\# (aref line j))
            (setf (aref cs i j) 1)))))
    #>cs
    (dotimes (bits1 (ash 1 h))
      (dotimes (bits2 (ash 1 w))
        (let ((tmp (make-array (list h w) :element-type 'bit :initial-element 0)))
          (dotimes (i h)
            (dotimes (j w)
              (setf (aref tmp i j) (aref cs i j))))
          (dotimes (pos1 h)
            (dotimes (pos2 w)
              (when (or (logbitp pos1 bits1)
                         (logbitp pos2 bits2))
                (setf (aref tmp pos1 pos2) 0))))
          ;; #>tmp
          (let ((value 0))
            (dotimes (i h)
              (dotimes (j w)
                (when (= 1 (aref tmp i j))
                  (incf value))))
            (when (= k value)
              ;; (dbg bits1 bits2)
              (incf res))))))
    (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)
    #+os-windows (run-program "powershell.exe" '("-Command" "Get-Clipboard") :output out :search t)
    #+os-unix (run-program "xsel" () :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 "2 3 2
..#
###
"
    "5
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "2 3 4
..#
###
"
    "1
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "2 2 3
##
##
"
    "0
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "6 6 8
..##..
.#..#.
#....#
######
#....#
#....#
"
    "208
")))


Measured memory_bytes: 25276