(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 (declaim (inline bisect-left)) (defun bisect-left (target value &key (start 0) end (order #'<) (key #'identity)) "TARGET := vector | function (taking an integer argument) ORDER := strict order Analogue of lower_bound() of C++ or bisect_left() of Python: Returns the smallest index (or input) i that fulfills TARGET[i] >= VALUE, where '>=' is the complement of ORDER. In other words, this function returns the leftmost index at which VALUE can be inserted with keeping the order. Therefore, TARGET must be monotonically non-decreasing with respect to ORDER. - This function returns END if VALUE exceeds TARGET[END-1]. - The range [START, END) is half-open. - END must be explicitly specified if TARGET is function. - KEY is applied to each element of TARGET before comparison." (declare (function key order) (integer start) ((or null integer) end)) (macrolet ((frob (accessor &optional declaration) `(labels ((%bisect-left (ng ok) ;; TARGET[OK] >= VALUE always holds (assuming ;; TARGET[END] = +infinity) ,@(when declaration (list declaration)) (if (<= (- ok ng) 1) ok (let ((mid (ash (+ ng ok) -1))) (if (funcall order (funcall key (,accessor target mid)) value) (%bisect-left mid ok) (%bisect-left ng mid)))))) (assert (<= start end)) (%bisect-left (- start 1) end)))) (etypecase target (vector (let ((end (or end (length target)))) (frob aref (declare ((integer -1 (#.most-positive-fixnum)) ng ok))))) (function (assert end () "Requires END argument if TARGET is a function.") (frob funcall))))) (declaim (inline bisect-right)) (defun bisect-right (target value &key (start 0) end (order #'<) (key #'identity)) "TARGET := vector | function (taking an integer argument) ORDER := strict order Analogue of upper_bound() of C++ or bisect_right() of Python: Returns the smallest index (or input) i that fulfills TARGET[i] > VALUE. In other words, this function returns the rightmost index at which VALUE can be inserted with keeping the order. Therefore, TARGET must be monotonically non-decreasing with respect to ORDER. - This function returns END if VALUE >= TARGET[END-1]. - The range [START, END) is half-open. - END must be explicitly specified if TARGET is function. - KEY is applied to each element of TARGET before comparison." (declare (function key order) (integer start) ((or null integer) end)) (macrolet ((frob (accessor &optional declaration) `(labels ((%bisect-right (ng ok) ;; TARGET[OK] > VALUE always holds (assuming ;; TARGET[END] = +infinity) ,@(when declaration (list declaration)) (if (<= (- ok ng) 1) ok (let ((mid (ash (+ ng ok) -1))) (if (funcall order value (funcall key (,accessor target mid))) (%bisect-right ng mid) (%bisect-right mid ok)))))) (assert (<= start end)) (%bisect-right (- start 1) end)))) (etypecase target (vector (let ((end (or end (length target)))) (frob aref (declare ((integer -1 (#.array-total-size-limit)) ng ok))))) (function (assert end () "Requires END argument if TARGET is a function.") (frob funcall))))) (macrolet ((def (name fname) `(define-modify-macro ,name (new-value) ,fname))) (def minf min) (def maxf max) (def mulf *) (def divf /) (def iorf logior) (def xorf logxor) (def andf logand)) ;;; ;;; Next permutation (O(n)) ;;; Reference: ;;; https://www.geeksforgeeks.org/find-the-next-lexicographically-greater-word-than-a-given-word/ ;;; (define-condition no-permutation-error (error) ((permutation :initarg :permutation :reader no-permutation-error-permutation)) (:report (lambda (condition stream) (format stream "~W is an extreme permutation" (no-permutation-error-permutation condition))))) (defun next-permutation! (perm &key (order #'<)) "Destructively changes PERM to the next permutation w.r.t. ORDER. ORDER must be a strict total order on PERM." (declare (vector perm)) (let* ((n (length perm)) (left (- n 2))) (declare (fixnum left)) (loop (when (< left 0) (error 'no-permutation-error)) (when (funcall order (aref perm left) (aref perm (+ left 1))) (return)) (decf left)) (labels ((bisect (ok ng) (declare ((integer 0 #.most-positive-fixnum) ok ng)) (if (<= (- ng ok) 1) ok (let ((mid (ash (+ ok ng) -1))) (if (funcall order (aref perm left) (aref perm mid)) (bisect mid ng) (bisect ok mid)))))) (rotatef (aref perm left) (aref perm (bisect left n))) (loop for i from 1 below (ceiling (- n left) 2) do (rotatef (aref perm (+ left i)) (aref perm (- n i)))) perm))) (declaim (ftype (function * (values fixnum &optional)) read-fixnum)) (defun read-fixnum (&optional (in *standard-input*)) "NOTE: cannot read -2^62" (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 #\-)) (setq 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)))))))) (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* ((n (read)) (p (- (read) 1)) (q (- (read) 1)) (as (make-array n :element-type 'uint31 :initial-element 0 :adjustable t :fill-pointer n))) (labels ((%write (as) (write-string (with-output-to-string (*standard-output* nil :element-type 'base-char) (let ((init t)) (loop for a across as do (if init (setq init nil) (write-char #\ )) (write (+ a 1))) (terpri)))))) (dotimes (i n) (setf (aref as i) (- (read-fixnum) 1))) (setq as (next-permutation! as)) (when (< (position p as) (position q as)) (%write as)) #>as (let* ((pos (position q as)) (rights (coerce (subseq as pos n) 'list)) (right-max (reduce #'max rights))) (setq as (coerce (subseq as 0 pos) '(and vector (not simple-vector)))) #>as (loop while (= q right-max) when (zerop (length as)) do (println -1) (return-from main) do (let ((new (vector-pop as))) #>as (push new rights) (when (> new right-max) (maxf right-max new) (return)))) (setq rights (sort rights #'<)) #>as #>rights (let ((q-next (bisect-right (coerce rights 'vector) q)) (res (make-array n :element-type 'uint31 :fill-pointer 0))) (loop for a across as do (vector-push a res)) #>res (cond ((= q-next p) (vector-push q-next res) (setq rights (delete q-next rights)) (loop for x in rights do (vector-push x res))) ((< p q) (vector-push q-next res) (setq rights (delete q-next rights)) (loop for x in rights do (vector-push x res))) ((> p q) (vector-push q-next res) (setq rights (delete q-next rights)) (setq rights (delete q rights)) (loop for x in rights do (vector-push x res) when (= x p) do (vector-push q res))) (t (error "Huh?"))) (%write 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 "5 1 2 2 1 5 3 4 " "3 1 2 4 5 ")) (it.bese.fiveam:is (common-lisp-user::io-equal "8 5 2 2 5 8 6 4 3 1 7 " "3 1 4 5 2 6 7 8 ")) (it.bese.fiveam:is (common-lisp-user::io-equal "4 3 4 4 1 2 3 " "-1 ")))