;; -*- coding: utf-8 -*-
(eval-when (:compile-toplevel :load-toplevel :execute)
  (defparameter OPT
    #+swank '(optimize (speed 3) (safety 2))
    #-swank '(optimize (speed 3) (safety 0) (debug 0)))
  #+swank (ql:quickload '(:cl-debug-print :fiveam))
  #-swank (set-dispatch-macro-character #\# #\> (lambda (s c p) (declare (ignore c p)) (read s nil (values) t))))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)
#-swank (disable-debugger) ; for CS Academy

;; BEGIN_INSERTED_CONTENTS
;;;
;;; Calculate a^n on any monoids in O(log(n)) time
;;;

(declaim (inline power))
(defun power (base exponent op identity)
  "OP := binary operation (on a monoid)
IDENTITY := identity element w.r.t. OP"
  (declare ((integer 0) exponent)
           (function op))
  (labels ((recur (x p)
             (declare ((integer 0 #.most-positive-fixnum) p))
             (cond ((= 0 p) identity)
                   ((= 1 p) x)
                   ((evenp p) (recur (funcall op x x) (ash p -1)))
                   (t (nth-value 0 (funcall op x (recur x (- p 1)))))))
           (recur-big (x p)
             (declare ((integer 0) p))
             (cond ((zerop p) identity)
                   ((evenp p) (recur-big (funcall op x x) (ash p -1)))
                   (t (nth-value 0 (funcall op x (recur-big x (- p 1))))))))
    (typecase exponent
      (fixnum (recur base exponent))
      (otherwise (recur-big base exponent)))))

(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
  (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 calc (x y)
  (dbg x y)
  (let* ((n (length x))
         (new (make-array n :element-type 'uint32 :initial-element 0)))
    (dotimes (i n)
      (if (= n (aref x i))
          (setf (aref new i) 0)
          (setf (aref new i) (aref y (aref x i)))))
    #>new
    new))

(defun main ()
  (let* ((n (read))
         (k (read))
         (as (make-array n :element-type 'uint32 :initial-element 0))
         (last-table (make-array 200001 :element-type 'uint32 :initial-element 0))
         (nexts (make-array (+ n 1) :element-type 'uint32 :initial-element 0))
         (iden (make-array (+ n 1) :element-type 'uint32 :initial-element 0)))
    (dotimes (i n) (setf (aref as i) (read-fixnum)))
    (dotimes (i (+ n 1)) (setf (aref iden i) i))
    (loop for i from (- (* 2 n) 1) downto 0
          do (when (< i n)
               (setf (aref nexts i) (+ 1 (aref last-table (aref as i)))))
             (setf (aref last-table (aref as (mod i n))) i))
    (let ((perm (copy-seq nexts)))
      (loop for i from (- n 1) downto 0
            do (when (< (aref perm i) n)
                 (setf (aref perm i) (aref perm (aref perm i)))))
      (setf (aref perm n) 0)
      (dotimes (i n)
        (setf (aref perm i)
              (if (>= (aref perm i) n)
                  (- (aref perm i) n)
                  (aref perm i))))
      (let* ((final-perm
               (power perm (- k 1)
                      (lambda (x y)
                        (dbg x y)
                        (let ((new (make-array (+ n 1) :element-type 'uint32)))
                          (dotimes (i (+ n 1))
                            (setf (aref new i) (aref y (aref x i))))
                          #>new))
                      iden))
             (pos (aref final-perm 0))
             (res (make-array 0 :fill-pointer 0)))
        ;; #>final-perm
        (loop (when (= pos n)
                (loop with init = t
                      for i below (length res)
                      do (if init
                             (setq init nil)
                             (write-char #\ ))
                         (princ (aref res i)))
                (terpri)
                (return-from main))
              (if (<= (aref nexts pos) n)
                  (setq pos (aref nexts pos))
                  (progn
                    (vector-push-extend (aref as pos) res)
                    (incf pos))))))))

#-swank (main)


Measured memory_bytes: 64996