#-swank (unless (member :child-sbcl *features*) (quit :unix-status (process-exit-code (run-program *runtime-pathname* `("--control-stack-size" "128MB" "--noinform" "--disable-ldb" "--lose-on-corruption" "--end-runtime-options" "--eval" "(push :child-sbcl *features*)" "--script" ,(namestring *load-pathname*)) :output t :error t :input t)))) (in-package :cl-user) (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) (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) (defconstant +mod+ 1000000007) (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))) (declaim (inline println)) (defun println (obj &optional (stream *standard-output*)) (let ((*read-default-float-format* 'double-float)) (prog1 (princ obj stream) (terpri stream)))) ;; BEGIN_INSERTED_CONTENTS (defpackage :cp/adjacent-duplicates (:use :cl) (:export #:delete-adjacent-duplicates)) (in-package :cp/adjacent-duplicates) (declaim (inline delete-adjacent-duplicates)) (defun delete-adjacent-duplicates (seq &key (test #'eql)) "Destructively deletes adjacent duplicates of SEQ: e.g. #(1 1 1 2 2 1 3) -> #(1 2 1 3)" (declare (sequence seq) (function test)) (etypecase seq (vector (if (zerop (length seq)) seq (let ((prev (aref seq 0)) (end 1)) (loop for pos from 1 below (length seq) unless (funcall test prev (aref seq pos)) do (setf prev (aref seq pos) (aref seq end) (aref seq pos) end (+ 1 end))) ;; KLUDGE: Resorting to ADJUST-ARRAY is maybe substandard. (if (array-has-fill-pointer-p seq) (adjust-array seq end :fill-pointer end) (adjust-array seq end))))) (list (loop for rest on seq unless (and (cdr rest) (funcall test (first rest) (second rest))) collect (car rest))))) (defpackage :cp/bisect (:use :cl) (:export #:bisect-left #:bisect-right)) (in-package :cp/bisect) (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))))) (defpackage :cp/read-fixnum (:use :cl) (:export #:read-fixnum)) (in-package :cp/read-fixnum) (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)))))))) ;; BEGIN_USE_PACKAGE (eval-when (:compile-toplevel :load-toplevel :execute) (use-package :cp/read-fixnum :cl-user)) (eval-when (:compile-toplevel :load-toplevel :execute) (use-package :cp/bisect :cl-user)) (eval-when (:compile-toplevel :load-toplevel :execute) (use-package :cp/adjacent-duplicates :cl-user)) (in-package :cl-user) ;;; ;;; Body ;;; (defun main () (declare (inline sort)) (let* ((n (read)) (m (read)) (bs (make-array m :element-type 'uint31 :initial-element 0)) (cs (make-array m :element-type 'uint31 :initial-element 0))) (dotimes (i m) (let ((b (read-fixnum)) (c (read-fixnum))) (setf (aref bs i) b (aref cs i) c))) (let* ((seq (delete-adjacent-duplicates (sort (concatenate '(simple-array uint31 (*)) bs cs) #'<))) (size (length seq)) (graph (make-array size :element-type 'list :initial-element nil)) (dp (make-array size :element-type 'int32 :initial-element -1))) (declare ((simple-array uint31 (*)) seq)) (loop for b across bs for c across cs for comped-b = (bisect-left seq b) for comped-c = (bisect-left seq c) do (push comped-b (aref graph comped-c))) (loop for pivot from (- size 1) downto 0 do (sb-int:named-let dfs ((v pivot)) (when (= -1 (aref dp v)) (setf (aref dp v) pivot) (dolist (next (aref graph v)) (dfs next))))) (let ((res (floor (* n (+ n 1)) 2))) (dotimes (i size) (let ((src (aref seq i)) (dest (aref seq (aref dp i)))) (incf res (- dest src)))) (println res))))) #-swank (main) ;;; ;;; Test and benchmark ;;; #+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" '("-b" "-o") :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* (or out (make-string-output-stream))) (res (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)))))) (if out res (get-output-stream-string *standard-output*)))) #+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 (equal "25 " (run "5 5 2 3 1 2 4 5 3 4 5 4 " nil))) (it.bese.fiveam:is (equal "10 " (run "4 3 4 3 3 2 2 1 " nil))) (it.bese.fiveam:is (equal "9 " (run "3 3 1 2 2 3 3 1 " nil))))