結果
| 問題 |
No.973 余興
|
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-01-17 23:13:01 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 17,419 bytes |
| コンパイル時間 | 1,133 ms |
| コンパイル使用メモリ | 62,640 KB |
| 実行使用メモリ | 36,120 KB |
| 最終ジャッジ日時 | 2024-06-26 00:17:29 |
| 合計ジャッジ時間 | 3,879 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | RE * 2 |
| other | RE * 54 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 26 JUN 2024 12:17:24 AM): ; file: /home/judge/data/code/Main.lisp ; in: DEFUN MAIN ; (READ-FIXNUM) ; ; caught STYLE-WARNING: ; undefined function: COMMON-LISP-USER::READ-FIXNUM ; ; compilation unit finished ; Undefined function: ; READ-FIXNUM ; caught 1 STYLE-WARNING condition ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.151
ソースコード
;; -*- coding: utf-8 -*-
(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
;;;
;;; Memoization macro
;;;
;;
;; Basic usage:
;;
;; (with-cache (:hash-table :test #'equal :key #'cons)
;; (defun add (a b)
;; (+ a b)))
;; This function caches the returned values for already passed combinations of
;; arguments. In this case ADD stores the key (CONS A B) and the return value to
;; a hash-table when evaluating (ADD A B) for the first time. ADD returns the
;; stored value when it is called with the same arguments (w.r.t. EQUAL) again.
;;
;; The storage for the cache is hash-table or array. Let's see an example for
;; array:
;; (with-cache (:array (10 20 30) :initial-element -1 :element-type 'fixnum)
;; (defun foo (a b c) ... ))
;; This form stores the value of FOO in the array created by (make-array (list
;; 10 20 30) :initial-element -1 :element-type 'fixnum). Note that
;; INITIAL-ELEMENT must always be given here as it is used as the flag for `not
;; yet stored'. (Therefore INITIAL-ELEMENT should be a value FOO never takes.)
;;
;; If you want to ignore some arguments, you can put `*' in dimensions:
;; (with-cache (:array (10 10 * 10) :initial-element -1)
;; (defun foo (a b c d) ...)) ; then C is ignored when querying or storing cache
;;
;; Available definition forms in WITH-CACHE are DEFUN, LABELS, FLET, and
;; SB-INT:NAMED-LET.
;;
;; You can trace the memoized function by :TRACE option:
;; (with-cache (:array (10 10) :initial-element -1 :trace t)
;; (defun foo (x y) ...))
;; Then FOO is traced as with CL:TRACE.
;;
;; TODO & NOTE: Currently a memoized function is not enclosed with a block of
;; the function name.
;; FIXME: *RECURSION-DEPTH* should be included within the macro.
(declaim (type (integer 0 #.most-positive-fixnum) *recursion-depth*))
(defparameter *recursion-depth* 0)
(eval-when (:compile-toplevel :load-toplevel :execute)
(defun %enclose-with-trace (fname args form)
(let ((value (gensym)))
`(progn
(format t "~&~A~A: (~A ~{~A~^ ~}) =>"
(make-string *recursion-depth*
:element-type 'base-char
:initial-element #\ )
*recursion-depth*
',fname
(list ,@args))
(let ((,value (let ((*recursion-depth* (1+ *recursion-depth*)))
,form)))
(format t "~&~A~A: (~A ~{~A~^ ~}) => ~A"
(make-string *recursion-depth*
:element-type 'base-char
:initial-element #\ )
*recursion-depth*
',fname
(list ,@args)
,value)
,value))))
(defun %extract-declarations (body)
(remove-if-not (lambda (form) (and (consp form) (eql 'declare (car form))))
body))
(defun %parse-cache-form (cache-specifier)
(let ((cache-type (car cache-specifier))
(cache-attribs (cdr cache-specifier)))
(assert (member cache-type '(:hash-table :array)))
(let* ((dims-with-* (when (eql cache-type :array) (first cache-attribs)))
(dims (remove '* dims-with-*))
(rank (length dims))
(rest-attribs (ecase cache-type
(:hash-table cache-attribs)
(:array (cdr cache-attribs))))
(key (prog1 (getf rest-attribs :key) (remf rest-attribs :key)))
(trace-p (prog1 (getf rest-attribs :trace) (remf rest-attribs :trace)))
(cache-form (case cache-type
(:hash-table `(make-hash-table ,@rest-attribs))
(:array `(make-array (list ,@dims) ,@rest-attribs))))
(initial-element (when (eql cache-type :array)
(assert (member :initial-element rest-attribs))
(getf rest-attribs :initial-element))))
(let ((cache (gensym "CACHE"))
(value (gensym))
(present-p (gensym))
(name-alias (gensym))
(args-lst (gensym))
(indices (loop repeat rank collect (gensym))))
(labels
((make-cache-querier (cache-type name args)
(let ((res (case cache-type
(:hash-table
`(let ((,args-lst (funcall ,(or key '#'list) ,@args)))
(multiple-value-bind (,value ,present-p)
(gethash ,args-lst ,cache)
(if ,present-p
,value
(setf (gethash ,args-lst ,cache)
(,name-alias ,@args))))))
(:array
(assert (= (length args) (length dims-with-*)))
(let ((memoized-args (loop for dimension in dims-with-*
for arg in args
unless (eql dimension '*)
collect arg)))
(if key
`(multiple-value-bind ,indices
(funcall ,key ,@memoized-args)
(let ((,value (aref ,cache ,@indices)))
(if (eql ,initial-element ,value)
(setf (aref ,cache ,@indices)
(,name-alias ,@args))
,value)))
`(let ((,value (aref ,cache ,@memoized-args)))
(if (eql ,initial-element ,value)
(setf (aref ,cache ,@memoized-args)
(,name-alias ,@args))
,value))))))))
(if trace-p
(%enclose-with-trace name args res)
res)))
(make-reset-form (cache-type)
(case cache-type
(:hash-table `(setf ,cache (make-hash-table ,@rest-attribs)))
(:array `(prog1 nil
(fill (array-storage-vector ,cache) ,initial-element)))))
(make-reset-name (name)
(intern (format nil "RESET-~A" (symbol-name name)))))
(values cache cache-form cache-type name-alias
#'make-reset-name
#'make-reset-form
#'make-cache-querier)))))))
(defmacro with-cache ((cache-type &rest cache-attribs) def-form)
"CACHE-TYPE := :HASH-TABLE | :ARRAY.
DEF-FORM := definition form with DEFUN, LABELS, FLET, or SB-INT:NAMED-LET."
(multiple-value-bind (cache-symbol cache-form cache-type name-alias
make-reset-name make-reset-form
make-cache-querier)
(%parse-cache-form (cons cache-type cache-attribs))
(ecase (car def-form)
((defun)
(destructuring-bind (_ name args &body body) def-form
(declare (ignore _))
`(let ((,cache-symbol ,cache-form))
(defun ,(funcall make-reset-name name) ()
,(funcall make-reset-form cache-type))
(defun ,name ,args
,@(%extract-declarations body)
(labels ((,name-alias ,args ,@body))
(declare (inline ,name-alias))
,(funcall make-cache-querier cache-type name args))))))
((labels flet)
(destructuring-bind (_ definitions &body labels-body) def-form
(declare (ignore _))
(destructuring-bind (name args &body body) (car definitions)
`(let ((,cache-symbol ,cache-form))
(,(car def-form)
((,(funcall make-reset-name name) ()
,(funcall make-reset-form cache-type))
(,name ,args
,@(%extract-declarations body)
(labels ((,name-alias ,args ,@body))
(declare (inline ,name-alias))
,(funcall make-cache-querier cache-type name args)))
,@(cdr definitions))
(declare (ignorable #',(funcall make-reset-name name)))
,@labels-body)))))
((nlet #+sbcl sb-int:named-let)
(destructuring-bind (_ name bindings &body body) def-form
(declare (ignore _))
`(let ((,cache-symbol ,cache-form))
(,(car def-form) ,name ,bindings
,@(%extract-declarations body)
,(let ((args (mapcar (lambda (x) (if (atom x) x (car x))) bindings)))
`(labels ((,name-alias ,args ,@body))
(declare (inline ,name-alias))
,(funcall make-cache-querier cache-type name args))))))))))
(defmacro with-caches (cache-specs def-form)
"DEF-FORM := definition form by LABELS or FLET.
(with-caches (cache-spec1 cache-spec2)
(labels ((f (x) ...) (g (y) ...))))
is equivalent to the line up of
(with-cache cache-spec1 (labels ((f (x) ...))))
and
(with-cache cache-spec2 (labels ((g (y) ...))))
This macro will be useful to do mutual recursion between memoized local
functions."
(assert (member (car def-form) '(labels flet)))
(let (cache-symbol-list cache-form-list cache-type-list name-alias-list make-reset-name-list make-reset-form-list make-cache-querier-list)
(dolist (cache-spec (reverse cache-specs))
(multiple-value-bind (cache-symbol cache-form cache-type name-alias
make-reset-name make-reset-form make-cache-querier)
(%parse-cache-form cache-spec)
(push cache-symbol cache-symbol-list)
(push cache-form cache-form-list)
(push cache-type cache-type-list)
(push name-alias name-alias-list)
(push make-reset-name make-reset-name-list)
(push make-reset-form make-reset-form-list)
(push make-cache-querier make-cache-querier-list)))
(labels ((def-name (def) (first def))
(def-args (def) (second def))
(def-body (def) (cddr def)))
(destructuring-bind (_ definitions &body labels-body) def-form
(declare (ignore _))
`(let ,(loop for cache-symbol in cache-symbol-list
for cache-form in cache-form-list
collect `(,cache-symbol ,cache-form))
(,(car def-form)
(,@(loop for def in definitions
for cache-type in cache-type-list
for make-reset-name in make-reset-name-list
for make-reset-form in make-reset-form-list
collect `(,(funcall make-reset-name (def-name def)) ()
,(funcall make-reset-form cache-type)))
,@(loop for def in definitions
for cache-type in cache-type-list
for name-alias in name-alias-list
for make-cache-querier in make-cache-querier-list
collect `(,(def-name def) ,(def-args def)
,@(%extract-declarations (def-body def))
(labels ((,name-alias ,(def-args def) ,@(def-body def)))
(declare (inline ,name-alias))
,(funcall make-cache-querier cache-type (def-name def) (def-args def))))))
(declare (ignorable ,@(loop for def in definitions
for make-reset-name in make-reset-name-list
collect `#',(funcall make-reset-name
(def-name def)))))
,@labels-body))))))
(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))
(x (read))
(cumul (make-array (+ n 1) :element-type 'uint62 :initial-element 0))
;; 右をr, ..., n-1まで食べた時点での可能な最左のl
(llimit (make-array (+ n 1) :element-type 'uint32))
;; 左を0, ..., lまで...
(rlimit (make-array (+ n 1) :element-type 'uint32)))
(dotimes (i n)
(setf (aref cumul (+ i 1))
(+ (aref cumul i) (read-fixnum))))
(dotimes (r (+ n 1))
(setf (aref llimit r)
(sb-int:named-let bisect ((ng -1) (ok r))
(if (<= (- ok ng) 1)
ok
(let ((mid (ash (+ ok ng) -1)))
(if (<= (- (aref cumul r) (aref cumul mid)) x)
(bisect ng mid)
(bisect mid ok)))))))
(dotimes (l (+ n 1))
(setf (aref rlimit l)
(sb-int:named-let bisect ((ok l) (ng (+ n 1)))
(if (<= (- ng ok) 1)
ok
(let ((mid (ash (+ ok ng) -1)))
(if (<= (- (aref cumul mid) (aref cumul l)) x)
(bisect mid ng)
(bisect ok mid)))))))
#>llimit
#>rlimit
(with-cache (:array (5001 5001) :element-type 'uint2 :initial-element 3)
(labels ((recur (l r)
(if (= (+ l 1) r)
0
(if (or (zerop (recur l (- r 1)))
(zerop (recur (+ l 1) r))
(let ((next-r (aref llimit r)))
(and (> next-r l)
(zerop (recur l next-r))))
(let ((next-l (aref rlimit l)))
(and (< next-l r)
(zerop (recur next-l r)))))
1
0))))
(write-line
(if (= 1 (recur 0 n))
"A"
"B"))))))
#-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 "C:/Windows/System32/WindowsPowerShell/v1.0/powershell.exe" '("get-clipboard") :output 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)))