;;; File:  main.scm
;; Author: ymiyamoto
;;
;; Created on Mon Oct  7 02:32:46 2019
;;
(define-syntax read-number
  (syntax-rules ()
    ((_ nums)
     (define-values nums
       (apply values (map string->number (string-split (read-line) #\space)))))))

(define-syntax read-numbers
  (syntax-rules ()
    ((_ as)
     (define as (map string->number (string-split (read-line) #\space))))
    ((_ as n)
     (define as (map (lambda (_) (map string->number (string-split (read-line) #\space))) (iota n))))))

(define-syntax prlist
  (syntax-rules ()
    ((_ lis)
     (print (string-join (map number->string lis) " ")))))

(define-syntax 1+ (syntax-rules () ((_ x) (+ x 1))))

(define-syntax 1- (syntax-rules () ((_ x) (- x 1))))

(define MOD 1000000007)

(define (solve)
  (read-number (n k))
  (define-values (x y) (div-and-mod n (* k k)))
  (define-values (s l) (exact-integer-sqrt y))
  (define m (+ s (if (> l 0) 1 0)))

  (print (+ (* x k) m))
  (print (string-join
  	  (append (map (lambda (i)
  			 (string-join (map (lambda (_)
					     (string-append (make-string (* i k) #\.)
							    (make-string k #\#)
							    (make-string (+ (* k (- x 1 i)) m)  #\.)))
					   (iota k))
				      "\n"))
  		       (iota x))
  		  (map (lambda (_)
  			 (string-append (make-string (* x k) #\.)
  					(make-string s #\#)
  					(if (> l 0) #\. "")))

  		       (iota s))
  		  (map (lambda (_)
  			 (string-append (make-string (* x k) #\.)
  					(make-string l #\#)
  					(make-string (- s l) #\.)))
  		       (iota (if (> l 0) 1 0))))
  	  "\n")))

(solve)