(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
;;;
;;; Compute binomial coefficient by direct bignum arithmetic
;;;

;; dead copy of alexandria::%multiply-range
(declaim (inline %multiply-range))
(defun %multiply-range (i j)
  (labels ((bisect (j k)
             (declare (type (integer 1 #.most-positive-fixnum) j k)
                      (values integer))
             (if (< (- k j) 8)
                 (multiply-range j k)
                 (let ((middle (+ j (truncate (- k j) 2))))
                   (* (bisect j middle)
                      (bisect (+ middle 1) k)))))
           (multiply-range (j k)
             (declare (type (integer 1 #.most-positive-fixnum) j k))
             (do ((f k (* f m))
                  (m (1- k) (1- m)))
                 ((< m j) f)
               (declare (type (integer 0 (#.most-positive-fixnum)) m)
                        (type unsigned-byte f)))))
    (bisect i j)))

(declaim (inline factorial))
(defun factorial (n)
  (cond ((< n 0) 0)
        ((zerop n) 1)
        (t (%multiply-range 1 n))))

(defun binomial-coefficient (n k)
  (declare (fixnum n k))
  (cond ((or (< n 0) (< k 0) (< n k)) 0)
        ((or (zerop k) (= n k)) 1)
        (t (let ((n-k (- n k)))
             (when (< k n-k)
               (rotatef k n-k))
             (if (= 1 n-k)
                 n
                 (floor (%multiply-range (+ k 1) n)
	                (%multiply-range 1 n-k)))))))

(declaim (inline multichoose))
(defun multichoose (n k)
  (binomial-coefficient (+ n k -1) k))

(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* ((nstring (read-line))
         (len (length nstring))
         (n (make-array len :element-type 'uint8))
         (k (read))
         (dp (make-array (list (+ len 1) (+ k 2) 2) :element-type 'uint62 :initial-element 0))
         (res 0))
    (dotimes (i len)
      (setf (aref n i) (digit-char-p (aref nstring i))))
    ;; #>n
    ;; ;; LEN未満
    ;; (loop for l from 1 to (- len 1)
    ;;       do (incf res (* (expt 9 k)
    ;;                       (binomial-coefficient (- l 1) (- k 1)))))
    ;; #>res
    ;; ;; LENで1...d_N-1
    ;; (loop for d from 1 below (aref n 0)
    ;;       do (incf res (* (- d 1) (expt 9 (- k 1))
    ;;                       #>(binomial-coefficient (- len 1) (- k 1)))))
    ;; #>res
    ;; あとは桁DP
    (setf (aref dp 0 0 1) 1)
    (dotimes (x len)
      (dotimes (y (+ k 1))
        ;; sup = 1
        (loop for next-d from 0 to (aref n x)
              do (incf (aref dp (+ x 1)
                             (if (zerop next-d) y (+ y 1))
                             (if (= next-d (aref n x)) 1 0))
                       (aref dp x y 1)))
        ;; sup = 0
        (loop for next-d from 0 to 9
              do (incf (aref dp (+ x 1)
                             (if (zerop next-d) y (+ y 1))
                             0)
                       (aref dp x y 0)))))
    (incf res (aref dp len k 0))
    (incf res (aref dp len k 1))
    (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 "100
1
"
    "19
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "25
2
"
    "14
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "314159
2
"
    "937
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
3
"
    "117879300
")))


Measured memory_bytes: 30308